| 13 |
michaesp |
1 |
subroutine zlev(z,t,q,zb,sp,ie,je,ke,ak,bk)
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c ===========================================
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c argument declaration
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integer ie,je,ke,its,iqs
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real z(ie,je,ke),t(ie,je,ke),getps
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real q(ie,je,ke),zb(ie,je),sp(ie,je)
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real ak(ke),bk(ke)
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c variable declaration
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integer i,j,k
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real pu, po, zo, zu, tv
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real rdg,tzero,eps
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data rdg,tzero,eps /29.271, 273.15, 0.6078/
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c t and q are staggered (stag(3)=-0.5; its=int(2*stag(3))
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its=-1
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iqs=-1
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20 |
c computation of height of main levels
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do i=1,ie
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do j=1,je
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zu = zb(i,j)
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24 |
pu = sp(i,j)
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25 |
tv = (t(i,j,1)+tzero)*(1.+eps*q(i,j,1))
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po = ak(1)+bk(1)*sp(i,j)
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27 |
if (po.le.0) po=0.5*pu
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zo = zu + rdg*tv*alog(pu/po)
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29 |
z(i,j,1) = zo
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30 |
pu = po
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zu = zo
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32 |
do k=2,ke
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33 |
tv = (0.5*(t(i,j,k)+t(i,j,k-1-its))+tzero)*
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> (1.+eps*0.5*(q(i,j,k)+q(i,j,k-1-iqs)))
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35 |
po = ak(k)+bk(k)*sp(i,j)
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if (po.le.0) po=0.5*pu
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37 |
zo = zu + rdg*tv*alog(pu/po)
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38 |
z(i,j,k) = zo
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39 |
pu = po
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zu = zo
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enddo
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enddo
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enddo
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end
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45 |
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46 |
subroutine flightlev(fl,p,ie,je,ke)
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c ===================================
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48 |
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c Convert an array of pressures (hPa) into an array of altitudes (m)
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c or vice versa using the ICAO standard atmosphere.
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c
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c See http://www.pdas.com/coesa.htm
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c
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c The 7 layers of the US standard atmosphere are:
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c
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c h1 h2 dT/dh h1,h2 geopotential alt in km
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c 0 11 -6.5 dT/dh in K/km
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c 11 20 0.0
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c 20 32 1.0
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c 32 47 2.8
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c 47 51 0.0
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c 51 71 -2.8
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c 71 84.852 -2.0
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c based upon IDL routine from Dominik Brunner
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c converted to f90: Jan 2002 Heini Wernli
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67 |
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68 |
implicit none
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c argument declaration
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integer ie,je,ke
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72 |
real fl(ie,je,ke),p(ie,je,ke)
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c variable declaration
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integer i,j,k,n,il
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real limits(0:7),lrs(7)
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integer iszero(7)
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real pb(0:7),tb(0:7)
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real g,r,gmr,feet
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data g,r,feet /9.80665, 287.053, 0.3048/
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c define layer boundaries in m, lapsre rates (9 means 0) and isothermal flag
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limits(0)=0.
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limits(1)=11000.
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limits(2)=20000.
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limits(3)=32000.
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limits(4)=47000.
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limits(5)=51000.
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limits(6)=71000.
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limits(7)=84852.
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lrs(0)=-6.5/1000.
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lrs(1)=9.0/1000.
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lrs(2)=1.0/1000.
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lrs(3)=2.8/1000.
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lrs(4)=9.0/1000.
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lrs(5)=-2.8/1000.
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lrs(6)=-2.0/1000.
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iszero(0)=0
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iszero(1)=1
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iszero(2)=0
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iszero(3)=0
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iszero(4)=1
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iszero(5)=0
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iszero(6)=0
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107 |
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gmr=g/r ! Hydrostatic constant
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109 |
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c calculate pressures at layer boundaries
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pB(0)=1013.25 ! pressure at surface
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TB(0)=288.15 ! Temperature at surface
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c loop over layers and get pressures and temperatures at level tops
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do i=0,6
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TB(i+1)=TB(i)+(1-iszero(i))*lrs(i)*(limits(i+1)-limits(i))
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pB(i+1)=(1-iszero(i))*pB(i)*exp(alog(TB(i)/TB(i+1))*gmr/lrs(i))+
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> iszero(i)*PB(i)*exp(-gmr*(limits(i+1)-limits(i))/TB(i))
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enddo
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120 |
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c now calculate which layer each value belongs to
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c and calculate the corresponding altitudes
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do i=1,ie
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do j=1,je
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do k=1,ke
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do n=0,6
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if ((pb(n).ge.p(i,j,k)).and.(pb(n+1).le.p(i,j,k))) then
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il=n
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goto 100
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endif
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enddo
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100 continue
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fl(i,j,k)=iszero(il)*(-ALOG(p(i,j,k)/pB(il))*TB(il)/gmr+
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> limits(il))+(1-iszero(il))*((TB(il)/((p(i,j,k)/
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> pB(il))**(lrs(il)/gmr))-TB(il))/lrs(il)+limits(il))
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fl(i,j,k)=fl(i,j,k)/feet/100.
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enddo
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138 |
enddo
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enddo
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end
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subroutine pottemp(pt,t,sp,ie,je,ke,ak,bk)
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c ==========================================
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145 |
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c argument declaration
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147 |
integer ie,je,ke
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real pt(ie,je,ke),t(ie,je,ke),sp(ie,je),
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> ak(ke),bk(ke)
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150 |
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c variable declaration
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integer i,j,k
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153 |
real rdcp,tzero
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data rdcp,tzero /0.286,273.15/
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c statement-functions for the computation of pressure
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real pp,psrf
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integer is
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pp(is)=ak(is)+bk(is)*psrf
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160 |
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c computation of potential temperature
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do i=1,ie
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do j=1,je
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psrf=sp(i,j)
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do k=1,ke
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c distinction of temperature in K and deg C
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if (t(i,j,k).lt.100.) then
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pt(i,j,k)=(t(i,j,k)+tzero)*( (1000./pp(k))**rdcp )
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else
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pt(i,j,k)=t(i,j,k)*( (1000./pp(k))**rdcp )
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endif
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enddo
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enddo
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enddo
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end
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subroutine tnat(tn,t,p,ie,je,ke)
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c ================================
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179 |
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180 |
c argument declaration
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181 |
integer ie,je,ke
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real tn(ie,je,ke),t(ie,je,ke),p(ie,je,ke)
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c variable declaration
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integer i,j,k
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real tzero
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data tzero /273.15/
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188 |
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real mb_to_mm
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real a1,a2,a3,a4,a5,c0,c1,c2,d
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real chiH2O,chiHNO3,pH2O,pHNO3,log_H2O,log_NAT
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mb_to_mm=760./1000.
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a1 = -2.7836
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a2 = -0.00088
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a3 = 89.7674
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a4 = -26242.0
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a5 = 0.021135
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chiH2O = 5.e-6
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chiHNO3 = 5.e-9
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do i=1,ie
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do j=1,je
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do k=1,ke
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pH2O = p(i,j,k)*chiH2O
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pHNO3 = p(i,j,k)*chiHNO3
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log_H2O = log(pH2O*mb_to_mm)
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log_NAT = log(pHNO3*mb_to_mm)
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c0 = log_NAT-log_H2O*a1-a3
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c1 = a2*log_H2O+a5
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c2 = a4
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d = c0*c0-4.0*c1*c2
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tn(i,j,k)=t(i,j,k)+tzero-(c0+sqrt(d))/(2.*c1)
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enddo
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enddo
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enddo
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end
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subroutine read_tice(tice_arr)
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c ==============================
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222 |
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integer n
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real tice_arr(100)
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225 |
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open(10,
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>file='/home/henry/prog/tnat_tice/t_ice_from_10_every_2_hPa')
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do n=1,71
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read(10,*)tice_arr(n)
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enddo
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close(10)
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end
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subroutine tice(ti,t,p,tice_arr,ie,je,ke)
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c =========================================
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236 |
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237 |
c argument declaration
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238 |
integer ie,je,ke
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239 |
real ti(ie,je,ke),t(ie,je,ke),p(ie,je,ke)
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240 |
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241 |
c variable declaration
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242 |
integer i,j,k
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243 |
real tzero
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data tzero /273.15/
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real tice_arr(100)
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real p0,p1,pinc,rind
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integer ind,np
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249 |
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c define the lowest p-value and the p-increment for the table
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p0=10.
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pinc=2.
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np=71
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p1=p0+real(np-1)*pinc
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do i=1,ie
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do j=1,je
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do k=1,ke
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259 |
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260 |
if (p(i,j,k).lt.p0) then
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261 |
print*,'*** error: table is not prepared for p < p0 ***'
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print*,ie,je,ke,i,j,k,p(i,j,k),p0
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263 |
call exit(1)
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264 |
endif
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265 |
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266 |
if (p(i,j,k).gt.p1) then
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267 |
print*,'*** error: table is not prepared for p > p1 ***'
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call exit(1)
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endif
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270 |
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c calculate the real index of the given pressure level
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rind=(p(i,j,k)-p0)/pinc+1.
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273 |
ind=int(rind)
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rind=rind-real(ind)
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275 |
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c interpolate tice
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ti(i,j,k)=t(i,j,k)+tzero-
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> (tice_arr(ind)+rind*(tice_arr(ind+1)-tice_arr(ind)))
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279 |
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280 |
enddo
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281 |
enddo
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282 |
enddo
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283 |
end
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284 |
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285 |
subroutine temp(t,pt,p,ie,je,ke,ak,bk)
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286 |
c ======================================
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287 |
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288 |
c argument declaration
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289 |
integer ie,je,ke
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290 |
real pt(ie,je,ke),t(ie,je,ke),p(ie,je,ke),
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291 |
> ak(ke),bk(ke)
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292 |
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293 |
c variable declaration
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294 |
integer i,j,k
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295 |
real rdcp,tzero
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296 |
data rdcp,tzero /0.286,273.15/
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297 |
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298 |
c computation of potential temperature
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299 |
do i=1,ie
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300 |
do j=1,je
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301 |
do k=1,ke
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302 |
t(i,j,k)=pt(i,j,k)*( (p(i,j,k)/1000.)**rdcp )
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303 |
enddo
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304 |
enddo
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305 |
enddo
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306 |
end
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307 |
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308 |
subroutine laitpv(lpv,pv,th,ie,je,ke)
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309 |
c =====================================
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310 |
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311 |
c argument declaration
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312 |
integer ie,je,ke
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313 |
real lpv(ie,je,ke),pv(ie,je,ke),th(ie,je,ke)
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314 |
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315 |
c variable declaration
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316 |
integer i,j,k
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317 |
real rdcp,tzero
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318 |
data rdcp,tzero /0.286,273.15/
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319 |
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320 |
c computation of Lait PV
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321 |
do i=1,ie
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322 |
do j=1,je
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323 |
do k=1,ke
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324 |
lpv(i,j,k)=pv(i,j,k)*((th(i,j,k)/420.)**(-9./2.))
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325 |
enddo
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326 |
enddo
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327 |
enddo
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328 |
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329 |
end
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330 |
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331 |
subroutine relhum(rh,q,t,sp,ie,je,ke,ak,bk)
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332 |
c ===========================================
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333 |
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334 |
c argument declaration
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335 |
integer ie,je,ke
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336 |
real rh(ie,je,ke),t(ie,je,ke),q(ie,je,ke),
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337 |
> sp(ie,je),ak(ke),bk(ke)
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338 |
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339 |
c variable declaration
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340 |
integer i,j,k
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341 |
real rdcp,tzero
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342 |
real b1,b2w,b3,b4w,r,rd,gqd,ge
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343 |
data rdcp,tzero /0.286,273.15/
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344 |
data b1,b2w,b3,b4w,r,rd /6.1078, 17.2693882, 273.16, 35.86,
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345 |
& 287.05, 461.51/
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346 |
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347 |
c statement-functions for the computation of pressure
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348 |
real pp,psrf
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349 |
integer is
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350 |
pp(is)=ak(is)+bk(is)*psrf
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351 |
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352 |
do i=1,ie
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353 |
do j=1,je
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354 |
psrf=sp(i,j)
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355 |
do k=1,ke
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356 |
ge = b1*exp(b2w*t(i,j,k)/(t(i,j,k)+b3-b4w))
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|
357 |
gqd= r/rd*ge/(pp(k)-(1.-r/rd)*ge)
|
|
|
358 |
rh(i,j,k)=100.*q(i,j,k)/gqd
|
|
|
359 |
enddo
|
|
|
360 |
enddo
|
|
|
361 |
enddo
|
|
|
362 |
end
|
|
|
363 |
|
|
|
364 |
subroutine relhum_i(rh,q,p,ie,je,ke,ak,mdv)
|
|
|
365 |
c ===========================================
|
|
|
366 |
|
|
|
367 |
c argument declaration
|
|
|
368 |
integer ie,je,ke
|
|
|
369 |
real rh(ie,je,ke),p(ie,je,ke),q(ie,je,ke),
|
|
|
370 |
> ak(ke),mdv
|
|
|
371 |
|
|
|
372 |
c variable declaration
|
|
|
373 |
integer i,j,k
|
|
|
374 |
real p0,kappa
|
|
|
375 |
data p0,kappa /1000.,0.286/
|
|
|
376 |
real rdcp,tzero
|
|
|
377 |
data rdcp,tzero /0.286,273.15/
|
|
|
378 |
real b1,b2w,b3,b4w,r,rd,gqd,ge
|
|
|
379 |
data b1,b2w,b3,b4w,r,rd /6.1078, 17.2693882, 273.16, 35.86,
|
|
|
380 |
& 287.05, 461.51/
|
|
|
381 |
|
|
|
382 |
do i=1,ie
|
|
|
383 |
do j=1,je
|
|
|
384 |
do k=1,ke
|
|
|
385 |
if (p(i,j,k).eq.mdv) then
|
|
|
386 |
rh(i,j,k)=mdv
|
|
|
387 |
else
|
|
|
388 |
tt=ak(k)*((p(i,j,k)/p0)**kappa)-tzero
|
|
|
389 |
ge = b1*exp(b2w*tt/(tt+b3-b4w))
|
|
|
390 |
gqd= r/rd*ge/(p(i,j,k)-(1.-r/rd)*ge)
|
|
|
391 |
rh(i,j,k)=100.*q(i,j,k)/gqd
|
|
|
392 |
endif
|
|
|
393 |
enddo
|
|
|
394 |
enddo
|
|
|
395 |
enddo
|
|
|
396 |
end
|
|
|
397 |
|
|
|
398 |
subroutine gradth(gth,th,sp,levtyp,cl,ie,je,ke,ak,bk,vmin,vmax)
|
|
|
399 |
C ===============================================================
|
|
|
400 |
|
|
|
401 |
c argument declaration
|
|
|
402 |
integer ie,je,ke,levtyp
|
|
|
403 |
real gth(ie,je,ke),th(ie,je,ke),sp(ie,je),cl(ie,je)
|
|
|
404 |
real ak(ke),bk(ke),vmin(4),vmax(4)
|
|
|
405 |
|
|
|
406 |
c variable declaration
|
|
|
407 |
REAL,ALLOCATABLE, DIMENSION (:,:) :: dspdx,dspdy
|
|
|
408 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: dthdx,dthdy
|
|
|
409 |
integer i,j,k,ind,ind2,stat
|
|
|
410 |
|
|
|
411 |
allocate(dthdx(ie,je,ke),STAT=stat)
|
|
|
412 |
if (stat.ne.0) print*,'gradth: error allocating dthdx'
|
|
|
413 |
allocate(dthdy(ie,je,ke),STAT=stat)
|
|
|
414 |
if (stat.ne.0) print*,'gradth: error allocating dthdy'
|
|
|
415 |
allocate(dspdx(ie,je),STAT=stat)
|
|
|
416 |
if (stat.ne.0) print*,'gradth: error allocating dspdx'
|
|
|
417 |
allocate(dspdy(ie,je),STAT=stat)
|
|
|
418 |
if (stat.ne.0) print*,'gradth: error allocating dspdy'
|
|
|
419 |
|
|
|
420 |
if (levtyp.eq.1) then
|
|
|
421 |
call ddh2(th,dthdx,cl,'X',ie,je,1,vmin,vmax)
|
|
|
422 |
call ddh2(th,dthdy,cl,'Y',ie,je,1,vmin,vmax)
|
|
|
423 |
else if (levtyp.eq.3) then
|
|
|
424 |
call ddh2(sp,dspdx,cl,'X',ie,je,1,vmin,vmax)
|
|
|
425 |
call ddh2(sp,dspdy,cl,'Y',ie,je,1,vmin,vmax)
|
|
|
426 |
call ddh3(th,dthdx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
427 |
call ddh3(th,dthdy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
428 |
endif
|
|
|
429 |
|
|
|
430 |
gth=sqrt(dthdx**2.+dthdy**2.)
|
|
|
431 |
|
|
|
432 |
IF (ALLOCATED(dspdx)) DEALLOCATE(dspdx)
|
|
|
433 |
IF (ALLOCATED(dspdy)) DEALLOCATE(dspdy)
|
|
|
434 |
IF (ALLOCATED(dthdx)) DEALLOCATE(dthdx)
|
|
|
435 |
IF (ALLOCATED(dthdy)) DEALLOCATE(dthdy)
|
|
|
436 |
|
|
|
437 |
end
|
|
|
438 |
|
|
|
439 |
subroutine calc_gradpv(gpv,pv,cl,ie,je,ke,ak,bk,vmin,vmax)
|
|
|
440 |
C ===============================================================
|
|
|
441 |
|
|
|
442 |
c argument declaration
|
|
|
443 |
integer ie,je,ke,levtyp
|
|
|
444 |
real gpv(ie,je,ke),pv(ie,je,ke),sp(ie,je),cl(ie,je)
|
|
|
445 |
real ak(ke),bk(ke),vmin(4),vmax(4)
|
|
|
446 |
|
|
|
447 |
c variable declaration
|
|
|
448 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: dpvdx,dpvdy
|
|
|
449 |
integer i,j,k,ind,ind2,stat
|
|
|
450 |
|
|
|
451 |
allocate(dpvdx(ie,je,ke),STAT=stat)
|
|
|
452 |
if (stat.ne.0) print*,'gradpv: error allocating dpvdx'
|
|
|
453 |
allocate(dpvdy(ie,je,ke),STAT=stat)
|
|
|
454 |
if (stat.ne.0) print*,'gradpv: error allocating dpvdy'
|
|
|
455 |
|
|
|
456 |
call ddh2(pv,dpvdx,cl,'X',ie,je,1,vmin,vmax)
|
|
|
457 |
call ddh2(pv,dpvdy,cl,'Y',ie,je,1,vmin,vmax)
|
|
|
458 |
|
|
|
459 |
gpv=1e6*sqrt(dpvdx**2.+dpvdy**2.)
|
|
|
460 |
|
|
|
461 |
IF (ALLOCATED(dpvdx)) DEALLOCATE(dpvdx)
|
|
|
462 |
IF (ALLOCATED(dpvdy)) DEALLOCATE(dpvdy)
|
|
|
463 |
|
|
|
464 |
end
|
|
|
465 |
|
|
|
466 |
subroutine wetbpt(thw,the,sp,ie,je,ke,ak,bk)
|
|
|
467 |
c ============================================
|
|
|
468 |
|
|
|
469 |
c argument declaration
|
|
|
470 |
integer ie,je,ke
|
|
|
471 |
real thw(ie,je,ke),the(ie,je,ke),
|
|
|
472 |
> sp(ie,je),ak(ke),bk(ke)
|
|
|
473 |
|
|
|
474 |
c variable declaration
|
|
|
475 |
real tsa
|
|
|
476 |
integer i,j,k
|
|
|
477 |
|
|
|
478 |
do k=1,ke
|
|
|
479 |
do j=1,je
|
|
|
480 |
do i=1,ie
|
|
|
481 |
thw(i,j,k)=tsa(the(i,j,k)-273.15,1000.)+273.15
|
|
|
482 |
enddo
|
|
|
483 |
enddo
|
|
|
484 |
enddo
|
|
|
485 |
end
|
|
|
486 |
|
|
|
487 |
real function tsa(os,p)
|
|
|
488 |
c =======================
|
|
|
489 |
|
|
|
490 |
C This function returns the temperature tsa (celsius) on a
|
|
|
491 |
c saturation adiabat at pressure p (millibars). os is the equivalent
|
|
|
492 |
c potential temperature of the parcel (celsius). sign(a,b) replaces
|
|
|
493 |
c the algebraic sign of a with that of b.
|
|
|
494 |
C b is an empirical constant approximately equal to 0.001 of the
|
|
|
495 |
c latent heat of vaporization for water divided by the specific
|
|
|
496 |
c heat at constant pressure for dry air.
|
|
|
497 |
|
|
|
498 |
real a,b,os,p,tq,d,tqk,x,w
|
|
|
499 |
integer i
|
|
|
500 |
|
|
|
501 |
data b/2.6518986/
|
|
|
502 |
a=os+273.16
|
|
|
503 |
|
|
|
504 |
C tq is the first guess for tsa
|
|
|
505 |
|
|
|
506 |
tq=253.16
|
|
|
507 |
|
|
|
508 |
C d is an initial value used in the iteration below
|
|
|
509 |
|
|
|
510 |
d=120.
|
|
|
511 |
|
|
|
512 |
C Iterate to obtain sufficient accuracy....see table 1, p.8
|
|
|
513 |
C of Stipanuk (1973) for equation used in iteration
|
|
|
514 |
do 1 i=1,12
|
|
|
515 |
tqk=tq-273.16
|
|
|
516 |
d=d/2.
|
|
|
517 |
x=a*exp(-b*w(tqk,p)/tq)-tq*((1000./p)**.286)
|
|
|
518 |
if (abs(x).lt.1e-7) go to 2
|
|
|
519 |
tq=tq+sign(d,x)
|
|
|
520 |
1 continue
|
|
|
521 |
2 tsa=tq-273.16
|
|
|
522 |
end
|
|
|
523 |
|
|
|
524 |
real function w(t,p)
|
|
|
525 |
c ====================
|
|
|
526 |
|
|
|
527 |
C This function returns the mixing ratio (grams of water vapor per
|
|
|
528 |
C kilogram of dry air) given the dew point (celsius) and pressure
|
|
|
529 |
C (millibars). If the temperature is input instead of the
|
|
|
530 |
C dew point, then saturation mixing ratio (same units) is returned.
|
|
|
531 |
C The formula is found in most meteorological texts.
|
|
|
532 |
|
|
|
533 |
real t,p,tkel,x,esat
|
|
|
534 |
|
|
|
535 |
tkel=t+273.16
|
|
|
536 |
x=esat(tkel) ! our function esat requires t in Kelvin
|
|
|
537 |
w=622.*x/(p-x)
|
|
|
538 |
end
|
|
|
539 |
|
|
|
540 |
|
|
|
541 |
real function esat(t)
|
|
|
542 |
c =====================
|
|
|
543 |
|
|
|
544 |
C This function returns the saturation vapor pressure over water
|
|
|
545 |
c (mb) given the temperature (Kelvin).
|
|
|
546 |
C The algorithm is due to Nordquist, W. S. ,1973: "Numerical
|
|
|
547 |
C Approximations of Selected Meteorological Parameters for Cloud
|
|
|
548 |
C Physics Problems" ECOM-5475, Atmospheric Sciences Laboratory,
|
|
|
549 |
c U. S. Army Electronics Command, White Sands Missile Range,
|
|
|
550 |
c New Mexico 88002.
|
|
|
551 |
|
|
|
552 |
real p1,p2,c1,t
|
|
|
553 |
|
|
|
554 |
p1=11.344-0.0303998*t
|
|
|
555 |
p2=3.49149-1302.8844/t
|
|
|
556 |
c1=23.832241-5.02808*log10(t)
|
|
|
557 |
esat=10.**(c1-1.3816e-7*10.**p1+8.1328e-3*10.**p2-2949.076/t)
|
|
|
558 |
end
|
|
|
559 |
|
|
|
560 |
subroutine equpot(ap,t,q,sp,ie,je,ke,ak,bk)
|
|
|
561 |
c ===========================================
|
|
|
562 |
|
|
|
563 |
c calculate equivalent potential temperature
|
|
|
564 |
|
|
|
565 |
c argument declaration
|
|
|
566 |
integer ie,je,ke
|
|
|
567 |
real ap(ie,je,ke),t(ie,je,ke),sp(ie,je)
|
|
|
568 |
real q(ie,je,ke),ak(ke),bk(ke)
|
|
|
569 |
|
|
|
570 |
c variable declaration
|
|
|
571 |
integer i,j,k
|
|
|
572 |
real rdcp,tzero
|
|
|
573 |
data rdcp,tzero /0.286,273.15/
|
|
|
574 |
|
|
|
575 |
c statement-functions for the computation of pressure
|
|
|
576 |
real pp,psrf
|
|
|
577 |
integer is
|
|
|
578 |
pp(is)=ak(is)+bk(is)*psrf
|
|
|
579 |
|
|
|
580 |
c computation of potential temperature
|
|
|
581 |
do i=1,ie
|
|
|
582 |
do j=1,je
|
|
|
583 |
psrf=sp(i,j)
|
|
|
584 |
do k=1,ke
|
|
|
585 |
ap(i,j,k) = (t(i,j,k)+tzero)*(1000./pp(k))
|
|
|
586 |
+ **(0.2854*(1.0-0.28*q(i,j,k)))*exp(
|
|
|
587 |
+ (3.376/(2840.0/(3.5*alog(t(i,j,k)+tzero)-alog(
|
|
|
588 |
+ 100.*pp(k)*max(1.0E-10,q(i,j,k))/(0.622+0.378*
|
|
|
589 |
+ q(i,j,k)))-0.1998)+55.0)-0.00254)*1.0E3*
|
|
|
590 |
+ max(1.0E-10,q(i,j,k))*(1.0+0.81*q(i,j,k)))
|
|
|
591 |
enddo
|
|
|
592 |
enddo
|
|
|
593 |
enddo
|
|
|
594 |
end
|
|
|
595 |
|
|
|
596 |
subroutine diabheat(dhr,t,w,rh,sp,ie,je,ke,ak,bk)
|
|
|
597 |
c =================================================
|
|
|
598 |
|
|
|
599 |
c argument declaration
|
|
|
600 |
integer ie,je,ke
|
|
|
601 |
real dhr(ie,je,ke),t(ie,je,ke),w(ie,je,ke),
|
|
|
602 |
& rh(ie,je,ke),sp(ie,je),ak(ke),bk(ke)
|
|
|
603 |
|
|
|
604 |
c variable declaration
|
|
|
605 |
integer i,j,k
|
|
|
606 |
real p0,kappa,tzero
|
|
|
607 |
data p0,kappa,tzero /1000.,0.286,273.15/
|
|
|
608 |
real blog10,cp,r,lw,eps
|
|
|
609 |
data blog10,cp,r,lw,eps /.08006,1004.,287.,2.5e+6,0.622/
|
|
|
610 |
real esat,c,tt
|
|
|
611 |
|
|
|
612 |
c statement-functions for the computation of pressure
|
|
|
613 |
real pp,psrf
|
|
|
614 |
integer is
|
|
|
615 |
pp(is)=ak(is)+bk(is)*psrf
|
|
|
616 |
|
|
|
617 |
c computation of diabatic heating rate
|
|
|
618 |
do i=1,ie
|
|
|
619 |
do j=1,je
|
|
|
620 |
psrf=sp(i,j)
|
|
|
621 |
do k=1,ke
|
|
|
622 |
if (rh(i,j,k).lt.80.) then ! only moist air of interest
|
|
|
623 |
dhr(i,j,k)=0. ! cond. heating rate set to zero
|
|
|
624 |
else if (w(i,j,k).gt.0.) then ! cond. heating only
|
|
|
625 |
! for ascent
|
|
|
626 |
dhr(i,j,k)=0.
|
|
|
627 |
else
|
|
|
628 |
tt=t(i,j,k)*((pp(k)/p0)**kappa) ! temp. from pot.temp.
|
|
|
629 |
c=lw/cp*eps*blog10*esat(tt)/pp(k)
|
|
|
630 |
dhr(i,j,k)=21600.* ! in units K per 6 hours
|
|
|
631 |
> (1.-exp(.2*(80.-rh(i,j,k)))) ! weighting fun.
|
|
|
632 |
! for 80<RH<100
|
|
|
633 |
> *(-c*kappa*t(i,j,k)*w(i,j,k)/(100.*pp(k)))/(1.+c)
|
|
|
634 |
endif
|
|
|
635 |
enddo
|
|
|
636 |
enddo
|
|
|
637 |
enddo
|
|
|
638 |
end
|
|
|
639 |
|
|
|
640 |
subroutine diabheat2(dhr,t,w,rh,sp,ie,je,ke,ak,bk)
|
|
|
641 |
c ==================================================
|
|
|
642 |
|
|
|
643 |
c argument declaration
|
|
|
644 |
integer ie,je,ke
|
|
|
645 |
real dhr(ie,je,ke),t(ie,je,ke),w(ie,je,ke),
|
|
|
646 |
& rh(ie,je,ke),sp(ie,je),ak(ke),bk(ke)
|
|
|
647 |
|
|
|
648 |
c variable declaration
|
|
|
649 |
integer i,j,k
|
|
|
650 |
real p0,kappa,tzero
|
|
|
651 |
data p0,kappa,tzero /1000.,0.286,273.15/
|
|
|
652 |
real blog10,cp,r,lw,eps
|
|
|
653 |
data blog10,cp,r,lw,eps /.08006,1004.,287.,2.5e+6,0.622/
|
|
|
654 |
real esat,c,tt
|
|
|
655 |
|
|
|
656 |
c statement-functions for the computation of pressure
|
|
|
657 |
real pp,psrf
|
|
|
658 |
integer is
|
|
|
659 |
pp(is)=ak(is)+bk(is)*psrf
|
|
|
660 |
|
|
|
661 |
c computation of diabatic heating rate
|
|
|
662 |
do i=1,ie
|
|
|
663 |
do j=1,je
|
|
|
664 |
psrf=sp(i,j)
|
|
|
665 |
do k=1,ke
|
|
|
666 |
if (rh(i,j,k).lt.80.) then ! only moist air of interest
|
|
|
667 |
dhr(i,j,k)=0. ! cond. heating rate set to zero
|
|
|
668 |
else if (w(i,j,k).gt.0.) then ! cond. heating only
|
|
|
669 |
! for ascent
|
|
|
670 |
dhr(i,j,k)=0.
|
|
|
671 |
else
|
|
|
672 |
c=lw/cp*eps*blog10*esat((t(i,j,k)+273.15))/pp(k)
|
|
|
673 |
tt=(t(i,j,k)+273.15)*((p0/pp(k))**kappa) ! pot.temp from temp
|
|
|
674 |
dhr(i,j,k)=21600.* ! in units K per 6 hours
|
|
|
675 |
> (1.-exp(.2*(80.-rh(i,j,k)))) ! weighting fun.
|
|
|
676 |
! for 80<RH<100
|
|
|
677 |
> *(-c*kappa*tt*w(i,j,k)/(100.*pp(k)))/(1.+c)
|
|
|
678 |
endif
|
|
|
679 |
enddo
|
|
|
680 |
enddo
|
|
|
681 |
enddo
|
|
|
682 |
end
|
|
|
683 |
|
|
|
684 |
subroutine diabpvr(dpvr,uu,vv,dhr,sp,cl,f,ie,je,ke,ak,bk,
|
|
|
685 |
> vmin,vmax)
|
|
|
686 |
C =========================================================
|
|
|
687 |
|
|
|
688 |
c argument declaration
|
|
|
689 |
integer ie,je,ke
|
|
|
690 |
real,intent(OUT) :: dpvr(ie,je,ke)
|
|
|
691 |
real,intent(IN) :: uu(ie,je,ke),vv(ie,je,ke),
|
|
|
692 |
> dhr(ie,je,ke),sp(ie,je),cl(ie,je),f(ie,je)
|
|
|
693 |
real,intent(IN) :: ak(ke),bk(ke),vmin(4),vmax(4)
|
|
|
694 |
|
|
|
695 |
c variable declaration
|
|
|
696 |
REAL,ALLOCATABLE, DIMENSION (:,:) :: dspdx,dspdy
|
|
|
697 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: dhrdp,dudp,dvdp,dvdx
|
|
|
698 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: dhrdx,dudy,dhrdy
|
|
|
699 |
integer k,stat
|
|
|
700 |
|
|
|
701 |
allocate(dspdx(ie,je),STAT=stat)
|
|
|
702 |
if (stat.ne.0) print*,'diabpvr: error allocating dspdx'
|
|
|
703 |
allocate(dspdy(ie,je),STAT=stat)
|
|
|
704 |
if (stat.ne.0) print*,'diabpvr: error allocating dspdy'
|
|
|
705 |
|
|
|
706 |
allocate(dhrdp(ie,je,ke),STAT=stat)
|
|
|
707 |
if (stat.ne.0) print*,'diabpvr: error allocating dhrdp'
|
|
|
708 |
allocate(dudp(ie,je,ke),STAT=stat)
|
|
|
709 |
if (stat.ne.0) print*,'diabpvr: error allocating dudp'
|
|
|
710 |
allocate(dvdp(ie,je,ke),STAT=stat)
|
|
|
711 |
if (stat.ne.0) print*,'diabpvr: error allocating dvdp'
|
|
|
712 |
allocate(dvdx(ie,je,ke),STAT=stat)
|
|
|
713 |
if (stat.ne.0) print*,'diabpvr: error allocating dvdx'
|
|
|
714 |
allocate(dhrdx(ie,je,ke),STAT=stat)
|
|
|
715 |
if (stat.ne.0) print*,'diabpvr: error allocating dhrdx'
|
|
|
716 |
allocate(dudy(ie,je,ke),STAT=stat)
|
|
|
717 |
if (stat.ne.0) print*,'diabpvr: error allocating dudy'
|
|
|
718 |
allocate(dhrdy(ie,je,ke),STAT=stat)
|
|
|
719 |
if (stat.ne.0) print*,'diabpvr: error allocating dhrdy'
|
|
|
720 |
|
|
|
721 |
call ddp(dhr,dhrdp,sp,ie,je,ke,ak,bk)
|
|
|
722 |
call ddp(uu,dudp,sp,ie,je,ke,ak,bk)
|
|
|
723 |
call ddp(vv,dvdp,sp,ie,je,ke,ak,bk)
|
|
|
724 |
call ddh2(sp,dspdx,cl,'X',ie,je,1,vmin,vmax)
|
|
|
725 |
call ddh2(sp,dspdy,cl,'Y',ie,je,1,vmin,vmax)
|
|
|
726 |
call ddh3(dhr,dhrdx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
727 |
call ddh3(vv,dvdx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
728 |
call ddh3(dhr,dhrdy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
729 |
call ddh3(uu,dudy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
730 |
|
|
|
731 |
do k=1,ke
|
|
|
732 |
dpvr(1:ie,1:je,k)=-1.E6*9.80665*(
|
|
|
733 |
> -dvdp(1:ie,1:je,k)*dhrdx(1:ie,1:je,k)
|
|
|
734 |
> +dudp(1:ie,1:je,k)*dhrdy(1:ie,1:je,k)
|
|
|
735 |
> +(-dudy(1:ie,1:je,k)+dvdx(1:ie,1:je,k)
|
|
|
736 |
> +f(1:ie,1:je))*dhrdp(1:ie,1:je,k))
|
|
|
737 |
enddo
|
|
|
738 |
|
|
|
739 |
IF (ALLOCATED(dspdx)) DEALLOCATE(dspdx)
|
|
|
740 |
IF (ALLOCATED(dspdy)) DEALLOCATE(dspdy)
|
|
|
741 |
IF (ALLOCATED(dhrdp)) DEALLOCATE(dhrdp)
|
|
|
742 |
IF (ALLOCATED(dudp)) DEALLOCATE(dudp)
|
|
|
743 |
IF (ALLOCATED(dvdp)) DEALLOCATE(dvdp)
|
|
|
744 |
IF (ALLOCATED(dvdx)) DEALLOCATE(dvdx)
|
|
|
745 |
IF (ALLOCATED(dhrdx)) DEALLOCATE(dhrdx)
|
|
|
746 |
IF (ALLOCATED(dudy)) DEALLOCATE(dudy)
|
|
|
747 |
IF (ALLOCATED(dhrdy)) DEALLOCATE(dhrdy)
|
|
|
748 |
|
|
|
749 |
end
|
|
|
750 |
|
|
|
751 |
subroutine vort(var,uu,vv,sp,cl,ie,je,ke,ak,bk,vmin,vmax)
|
|
|
752 |
C =========================================================
|
|
|
753 |
C calculate vorticity VORT=D[V:X]-D[U*COS:Y]/COS
|
|
|
754 |
|
|
|
755 |
c argument declaration
|
|
|
756 |
integer ie,je,ke
|
|
|
757 |
real,intent(OUT) :: var(ie,je,ke)
|
|
|
758 |
real,intent(IN) :: uu(ie,je,ke),vv(ie,je,ke),
|
|
|
759 |
> sp(ie,je),cl(ie,je)
|
|
|
760 |
real ak(ke),bk(ke),vmin(4),vmax(4)
|
|
|
761 |
|
|
|
762 |
c variable declaration
|
|
|
763 |
REAL,ALLOCATABLE, DIMENSION (:,:) :: dspdx,dspdy
|
|
|
764 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: dvdx,dudy,uucl
|
|
|
765 |
integer stat
|
|
|
766 |
real pole
|
|
|
767 |
|
|
|
768 |
allocate(dspdx(ie,je),STAT=stat)
|
|
|
769 |
if (stat.ne.0) print*,'vort: error allocating dspdx(ie,je)'
|
|
|
770 |
allocate(dspdy(ie,je),STAT=stat)
|
|
|
771 |
if (stat.ne.0) print*,'vort: error allocating dspdy(ie,je)'
|
|
|
772 |
allocate(dvdx(ie,je,ke),STAT=stat)
|
|
|
773 |
if (stat.ne.0) print*,'vort: error allocating dvdx'
|
|
|
774 |
allocate(uucl(ie,je,ke),STAT=stat)
|
|
|
775 |
if (stat.ne.0) print*,'vort: error allocating uucl'
|
|
|
776 |
allocate(dudy(ie,je,ke),STAT=stat)
|
|
|
777 |
if (stat.ne.0) print*,'vort: error allocating dudy'
|
|
|
778 |
|
|
|
779 |
call ddh2(sp,dspdx,cl,'X',ie,je,1,vmin,vmax)
|
|
|
780 |
call ddh2(sp,dspdy,cl,'Y',ie,je,1,vmin,vmax)
|
|
|
781 |
call ddh3(vv,dvdx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
782 |
do k=1,ke
|
|
|
783 |
uucl(1:ie,1:je,k)=uu(1:ie,1:je,k)*cl(1:ie,1:je)
|
|
|
784 |
enddo
|
|
|
785 |
call ddh3(uucl,dudy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
786 |
|
|
|
787 |
do k=1,ke
|
|
|
788 |
var(1:ie,1:je,k)=1.E4*(dvdx(1:ie,1:je,k)-
|
|
|
789 |
> dudy(1:ie,1:je,k)/cl(1:ie,1:je))
|
|
|
790 |
* var(1:ie,1:je,k)=1.E4*(dvdx(1:ie,1:je,k)-
|
|
|
791 |
* > dudy(1:ie,1:je,k))
|
|
|
792 |
enddo
|
|
|
793 |
|
|
|
794 |
c interpolate poles from neighbouring points on every level
|
|
|
795 |
if (vmax(2).eq.90.) then
|
|
|
796 |
do k=1,ke
|
|
|
797 |
pole=0.
|
|
|
798 |
do i=1,ie
|
|
|
799 |
pole=pole+var(i,je-1,k)
|
|
|
800 |
enddo
|
|
|
801 |
pole=pole/real(ie)
|
|
|
802 |
do i=1,ie
|
|
|
803 |
var(i,je,k)=pole
|
|
|
804 |
enddo
|
|
|
805 |
enddo
|
|
|
806 |
endif
|
|
|
807 |
|
|
|
808 |
if (vmin(2).eq.-90.) then
|
|
|
809 |
do k=1,ke
|
|
|
810 |
pole=0.
|
|
|
811 |
do i=1,ie
|
|
|
812 |
pole=pole+var(i,2,k)
|
|
|
813 |
enddo
|
|
|
814 |
pole=pole/real(ie)
|
|
|
815 |
do i=1,ie
|
|
|
816 |
var(i,1,k)=pole
|
|
|
817 |
enddo
|
|
|
818 |
enddo
|
|
|
819 |
endif
|
|
|
820 |
|
|
|
821 |
IF (ALLOCATED(dspdx)) DEALLOCATE(dspdx)
|
|
|
822 |
IF (ALLOCATED(dspdy)) DEALLOCATE(dspdy)
|
|
|
823 |
IF (ALLOCATED(dvdx)) DEALLOCATE(dvdx)
|
|
|
824 |
IF (ALLOCATED(dudy)) DEALLOCATE(dudy)
|
|
|
825 |
IF (ALLOCATED(uucl)) DEALLOCATE(uucl)
|
|
|
826 |
|
|
|
827 |
end
|
|
|
828 |
|
|
|
829 |
subroutine avort(var,uu,vv,sp,cl,f,ie,je,ke,ak,bk,vmin,vmax)
|
|
|
830 |
C ============================================================
|
|
|
831 |
C calculate absolute vorticity AVO=F+D[V:X]-D[U*COS:Y]/COS
|
|
|
832 |
|
|
|
833 |
c argument declaration
|
|
|
834 |
integer ie,je,ke
|
|
|
835 |
real,intent(OUT) :: var(ie,je,ke)
|
|
|
836 |
real,intent(IN) :: uu(ie,je,ke),vv(ie,je,ke),
|
|
|
837 |
> sp(ie,je),cl(ie,je),f(ie,je)
|
|
|
838 |
real ak(ke),bk(ke),vmin(4),vmax(4)
|
|
|
839 |
|
|
|
840 |
c variable declaration
|
|
|
841 |
REAL,ALLOCATABLE, DIMENSION (:,:) :: dspdx,dspdy
|
|
|
842 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: dvdx,dudy,uucl
|
|
|
843 |
integer stat
|
|
|
844 |
real pole
|
|
|
845 |
|
|
|
846 |
allocate(dspdx(ie,je),STAT=stat)
|
|
|
847 |
if (stat.ne.0) print*,'vort: error allocating dspdx(ie,je)'
|
|
|
848 |
allocate(dspdy(ie,je),STAT=stat)
|
|
|
849 |
if (stat.ne.0) print*,'vort: error allocating dspdy(ie,je)'
|
|
|
850 |
allocate(dvdx(ie,je,ke),STAT=stat)
|
|
|
851 |
if (stat.ne.0) print*,'vort: error allocating dvdx'
|
|
|
852 |
allocate(uucl(ie,je,ke),STAT=stat)
|
|
|
853 |
if (stat.ne.0) print*,'vort: error allocating uucl'
|
|
|
854 |
allocate(dudy(ie,je,ke),STAT=stat)
|
|
|
855 |
if (stat.ne.0) print*,'vort: error allocating dudy'
|
|
|
856 |
|
|
|
857 |
call ddh2(sp,dspdx,cl,'X',ie,je,1,vmin,vmax)
|
|
|
858 |
call ddh2(sp,dspdy,cl,'Y',ie,je,1,vmin,vmax)
|
|
|
859 |
call ddh3(vv,dvdx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
860 |
do k=1,ke
|
|
|
861 |
uucl(1:ie,1:je,k)=uu(1:ie,1:je,k)*cl(1:ie,1:je)
|
|
|
862 |
enddo
|
|
|
863 |
call ddh3(uucl,dudy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
864 |
|
|
|
865 |
do k=1,ke
|
|
|
866 |
var(1:ie,1:je,k)=1.E4*(f(1:ie,1:je)+dvdx(1:ie,1:je,k)-
|
|
|
867 |
> dudy(1:ie,1:je,k)/cl(1:ie,1:je))
|
|
|
868 |
enddo
|
|
|
869 |
|
|
|
870 |
c interpolate poles from neighbouring points on every level
|
|
|
871 |
if (vmax(2).eq.90.) then
|
|
|
872 |
do k=1,ke
|
|
|
873 |
pole=0.
|
|
|
874 |
do i=1,ie
|
|
|
875 |
pole=pole+var(i,je-1,k)
|
|
|
876 |
enddo
|
|
|
877 |
pole=pole/real(ie)
|
|
|
878 |
do i=1,ie
|
|
|
879 |
var(i,je,k)=pole
|
|
|
880 |
enddo
|
|
|
881 |
enddo
|
|
|
882 |
endif
|
|
|
883 |
|
|
|
884 |
if (vmin(2).eq.-90.) then
|
|
|
885 |
do k=1,ke
|
|
|
886 |
pole=0.
|
|
|
887 |
do i=1,ie
|
|
|
888 |
pole=pole+var(i,2,k)
|
|
|
889 |
enddo
|
|
|
890 |
pole=pole/real(ie)
|
|
|
891 |
do i=1,ie
|
|
|
892 |
var(i,1,k)=pole
|
|
|
893 |
enddo
|
|
|
894 |
enddo
|
|
|
895 |
endif
|
|
|
896 |
|
|
|
897 |
IF (ALLOCATED(dspdx)) DEALLOCATE(dspdx)
|
|
|
898 |
IF (ALLOCATED(dspdy)) DEALLOCATE(dspdy)
|
|
|
899 |
IF (ALLOCATED(dvdx)) DEALLOCATE(dvdx)
|
|
|
900 |
IF (ALLOCATED(dudy)) DEALLOCATE(dudy)
|
|
|
901 |
IF (ALLOCATED(uucl)) DEALLOCATE(uucl)
|
|
|
902 |
|
|
|
903 |
end
|
|
|
904 |
|
|
|
905 |
subroutine vort_i(var,uu,vv,cl,ie,je,ke,vmin,vmax,mdv)
|
|
|
906 |
C ======================================================
|
|
|
907 |
C calculate vorticity VORT=1e4*D[V:X]-D[U*COS:Y]/COS on isentropic
|
|
|
908 |
C levels
|
|
|
909 |
C with misdat (mdv) treatment !
|
|
|
910 |
C mark liniger 990501
|
|
|
911 |
|
|
|
912 |
c argument declaration
|
|
|
913 |
integer ie,je,ke
|
|
|
914 |
real,intent(OUT) :: var(ie,je,ke)
|
|
|
915 |
real,intent(IN) :: uu(ie,je,ke),vv(ie,je,ke),
|
|
|
916 |
> cl(ie,je)
|
|
|
917 |
real vmin(4),vmax(4),mdv
|
|
|
918 |
|
|
|
919 |
c variable declaration
|
|
|
920 |
REAL,ALLOCATABLE, DIMENSION (:,:) :: dvdx,dudy,uucl
|
|
|
921 |
integer stat
|
|
|
922 |
|
|
|
923 |
allocate(dvdx(ie,je),STAT=stat)
|
|
|
924 |
if (stat.ne.0) print*,'vort: error allocating dvdx'
|
|
|
925 |
allocate(uucl(ie,je),STAT=stat)
|
|
|
926 |
if (stat.ne.0) print*,'vort: error allocating uucl'
|
|
|
927 |
allocate(dudy(ie,je),STAT=stat)
|
|
|
928 |
if (stat.ne.0) print*,'vort: error allocating dudy'
|
|
|
929 |
|
|
|
930 |
do k=1,ke
|
|
|
931 |
|
|
|
932 |
call ddh2m(vv(1,1,k),dvdx,cl,'X',ie,je,1,vmin,vmax,mdv)
|
|
|
933 |
|
|
|
934 |
do i=1,ie
|
|
|
935 |
do j=1,je
|
|
|
936 |
if (uu(i,j,k).eq.mdv) then
|
|
|
937 |
uucl(i,j)=mdv
|
|
|
938 |
else
|
|
|
939 |
uucl(i,j)=uu(i,j,k)*cl(i,j)
|
|
|
940 |
endif
|
|
|
941 |
enddo
|
|
|
942 |
enddo
|
|
|
943 |
|
|
|
944 |
|
|
|
945 |
call ddh2m(uucl,dudy,cl,'Y',ie,je,1,vmin,vmax,mdv)
|
|
|
946 |
|
|
|
947 |
do i=1,ie
|
|
|
948 |
do j=1,je
|
|
|
949 |
if ((dvdx(i,j).eq.mdv).or.
|
|
|
950 |
> (dudy(i,j).eq.mdv).or.
|
|
|
951 |
> (cl(i,j).lt.1e-3)) then
|
|
|
952 |
var(i,j,k)=mdv
|
|
|
953 |
else
|
|
|
954 |
var(i,j,k)=1.E4*(dvdx(i,j)-dudy(i,j)
|
|
|
955 |
> /cl(i,j))
|
|
|
956 |
endif
|
|
|
957 |
enddo
|
|
|
958 |
enddo
|
|
|
959 |
|
|
|
960 |
enddo
|
|
|
961 |
|
|
|
962 |
IF (ALLOCATED(dvdx)) DEALLOCATE(dvdx)
|
|
|
963 |
IF (ALLOCATED(dudy)) DEALLOCATE(dudy)
|
|
|
964 |
IF (ALLOCATED(uucl)) DEALLOCATE(uucl)
|
|
|
965 |
|
|
|
966 |
end
|
|
|
967 |
|
|
|
968 |
subroutine curvo(var,uu,vv,sp,cl,ie,je,ke,ak,bk,vmin,vmax)
|
|
|
969 |
C ==========================================================
|
|
|
970 |
C calculate curvature vorticity
|
|
|
971 |
C =u^2*d[v:x]-v^2*d[u*cos:y]/cos-u*v*(d[u:x]-d[v*cos:y]/cos))/(u^2+v^2)
|
|
|
972 |
|
|
|
973 |
c argument declaration
|
|
|
974 |
integer ie,je,ke
|
|
|
975 |
real,intent(OUT) :: var(ie,je,ke)
|
|
|
976 |
real,intent(IN) :: uu(ie,je,ke),vv(ie,je,ke),
|
|
|
977 |
> sp(ie,je),cl(ie,je)
|
|
|
978 |
real ak(ke),bk(ke),vmin(4),vmax(4)
|
|
|
979 |
|
|
|
980 |
c variable declaration
|
|
|
981 |
REAL,ALLOCATABLE, DIMENSION (:,:) :: dspdx,dspdy
|
|
|
982 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: dudx,dvdx,dudy,dvdy,
|
|
|
983 |
> uucl,vvcl
|
|
|
984 |
integer stat
|
|
|
985 |
|
|
|
986 |
allocate(dspdx(ie,je),STAT=stat)
|
|
|
987 |
if (stat.ne.0) print*,'vort: error allocating dspdx'
|
|
|
988 |
allocate(dspdy(ie,je),STAT=stat)
|
|
|
989 |
if (stat.ne.0) print*,'vort: error allocating dspdy'
|
|
|
990 |
allocate(dudx(ie,je,ke),STAT=stat)
|
|
|
991 |
if (stat.ne.0) print*,'vort: error allocating dudx'
|
|
|
992 |
allocate(dvdx(ie,je,ke),STAT=stat)
|
|
|
993 |
if (stat.ne.0) print*,'vort: error allocating dvdx'
|
|
|
994 |
allocate(uucl(ie,je,ke),STAT=stat)
|
|
|
995 |
if (stat.ne.0) print*,'vort: error allocating uucl'
|
|
|
996 |
allocate(vvcl(ie,je,ke),STAT=stat)
|
|
|
997 |
if (stat.ne.0) print*,'vort: error allocating vvcl'
|
|
|
998 |
allocate(dudy(ie,je,ke),STAT=stat)
|
|
|
999 |
if (stat.ne.0) print*,'vort: error allocating dudy'
|
|
|
1000 |
allocate(dvdy(ie,je,ke),STAT=stat)
|
|
|
1001 |
if (stat.ne.0) print*,'vort: error allocating dvdy'
|
|
|
1002 |
|
|
|
1003 |
call ddh2(sp,dspdx,cl,'X',ie,je,1,vmin,vmax)
|
|
|
1004 |
call ddh2(sp,dspdy,cl,'Y',ie,je,1,vmin,vmax)
|
|
|
1005 |
call ddh3(uu,dudx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1006 |
call ddh3(vv,dvdx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1007 |
do k=1,ke
|
|
|
1008 |
uucl(1:ie,1:je,k)=uu(1:ie,1:je,k)*cl(1:ie,1:je)
|
|
|
1009 |
vvcl(1:ie,1:je,k)=vv(1:ie,1:je,k)*cl(1:ie,1:je)
|
|
|
1010 |
enddo
|
|
|
1011 |
call ddh3(uucl,dudy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1012 |
call ddh3(vvcl,dvdy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1013 |
|
|
|
1014 |
do k=1,ke
|
|
|
1015 |
do j=1,je
|
|
|
1016 |
do i=1,ie
|
|
|
1017 |
var(i,j,k)=1.e4*(uu(i,j,k)**2.*dvdx(i,j,k)-
|
|
|
1018 |
> vv(i,j,k)**2.*dudy(i,j,k)/cl(i,j)-
|
|
|
1019 |
> uu(i,j,k)*vv(i,j,k)*(dudx(i,j,k)-dvdy(i,j,k)/cl(i,j)))/
|
|
|
1020 |
> max(uu(i,j,k)**2.+vv(i,j,k)**2.,1.e-3)
|
|
|
1021 |
enddo
|
|
|
1022 |
enddo
|
|
|
1023 |
enddo
|
|
|
1024 |
|
|
|
1025 |
c set poles values to mdv
|
|
|
1026 |
if (vmax(2).eq.90.) then
|
|
|
1027 |
do k=1,ke
|
|
|
1028 |
do i=1,ie
|
|
|
1029 |
var(i,je,k)=-999.98999
|
|
|
1030 |
enddo
|
|
|
1031 |
enddo
|
|
|
1032 |
endif
|
|
|
1033 |
|
|
|
1034 |
if (vmin(2).eq.-90.) then
|
|
|
1035 |
do k=1,ke
|
|
|
1036 |
do i=1,ie
|
|
|
1037 |
var(i,1,k)=-999.98999
|
|
|
1038 |
enddo
|
|
|
1039 |
enddo
|
|
|
1040 |
endif
|
|
|
1041 |
|
|
|
1042 |
IF (ALLOCATED(dspdx)) DEALLOCATE(dspdx)
|
|
|
1043 |
IF (ALLOCATED(dspdy)) DEALLOCATE(dspdy)
|
|
|
1044 |
IF (ALLOCATED(dudx)) DEALLOCATE(dudx)
|
|
|
1045 |
IF (ALLOCATED(dvdx)) DEALLOCATE(dvdx)
|
|
|
1046 |
IF (ALLOCATED(dudy)) DEALLOCATE(dudy)
|
|
|
1047 |
IF (ALLOCATED(dvdy)) DEALLOCATE(dvdy)
|
|
|
1048 |
IF (ALLOCATED(uucl)) DEALLOCATE(uucl)
|
|
|
1049 |
IF (ALLOCATED(vvcl)) DEALLOCATE(vvcl)
|
|
|
1050 |
|
|
|
1051 |
end
|
|
|
1052 |
|
|
|
1053 |
subroutine potvort(pv,uu,vv,th,sp,cl,f,ie,je,ke,ak,bk,
|
|
|
1054 |
> vmin,vmax)
|
|
|
1055 |
C ======================================================
|
|
|
1056 |
C calculate PV
|
|
|
1057 |
|
|
|
1058 |
c argument declaration
|
|
|
1059 |
integer ie,je,ke
|
|
|
1060 |
real pv(ie,je,ke),uu(ie,je,ke),vv(ie,je,ke),
|
|
|
1061 |
> th(ie,je,ke),sp(ie,je),
|
|
|
1062 |
> cl(ie,je),f(ie,je)
|
|
|
1063 |
real ak(ke),bk(ke),vmin(4),vmax(4)
|
|
|
1064 |
real pvpole
|
|
|
1065 |
|
|
|
1066 |
c variable declaration
|
|
|
1067 |
REAL,ALLOCATABLE, DIMENSION (:,:) :: dspdx,dspdy
|
|
|
1068 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: dthdp,dudp,dvdp
|
|
|
1069 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: uu2,dvdx,dudy,dthdx,dthdy
|
|
|
1070 |
integer i,j,k,stat
|
|
|
1071 |
|
|
|
1072 |
allocate(dspdx(ie,je),STAT=stat)
|
|
|
1073 |
if (stat.ne.0) print*,'potvort: error allocating dspdx(ie,je)'
|
|
|
1074 |
allocate(dspdy(ie,je),STAT=stat)
|
|
|
1075 |
if (stat.ne.0) print*,'potvort: error allocating dspdy(ie,je)'
|
|
|
1076 |
allocate(dthdp(ie,je,ke),STAT=stat)
|
|
|
1077 |
if (stat.ne.0) print*,'potvort: error allocating dthdp'
|
|
|
1078 |
allocate(dudp(ie,je,ke),STAT=stat)
|
|
|
1079 |
if (stat.ne.0) print*,'potvort: error allocating dudp'
|
|
|
1080 |
allocate(dvdp(ie,je,ke),STAT=stat)
|
|
|
1081 |
if (stat.ne.0) print*,'potvort: error allocating dvdp'
|
|
|
1082 |
allocate(dvdx(ie,je,ke),STAT=stat)
|
|
|
1083 |
if (stat.ne.0) print*,'potvort: error allocating dvdx'
|
|
|
1084 |
allocate(dudy(ie,je,ke),STAT=stat)
|
|
|
1085 |
if (stat.ne.0) print*,'potvort: error allocating dudy'
|
|
|
1086 |
allocate(dthdx(ie,je,ke),STAT=stat)
|
|
|
1087 |
if (stat.ne.0) print*,'potvort: error allocating dthdx'
|
|
|
1088 |
allocate(dthdy(ie,je,ke),STAT=stat)
|
|
|
1089 |
if (stat.ne.0) print*,'potvort: error allocating dthdy'
|
|
|
1090 |
allocate(uu2(ie,je,ke),STAT=stat)
|
|
|
1091 |
if (stat.ne.0) print*,'potvort: error allocating uu2'
|
|
|
1092 |
|
|
|
1093 |
call ddp(th,dthdp,sp,ie,je,ke,ak,bk)
|
|
|
1094 |
call ddp(uu,dudp,sp,ie,je,ke,ak,bk)
|
|
|
1095 |
call ddp(vv,dvdp,sp,ie,je,ke,ak,bk)
|
|
|
1096 |
call ddh2(sp,dspdx,cl,'X',ie,je,1,vmin,vmax)
|
|
|
1097 |
call ddh2(sp,dspdy,cl,'Y',ie,je,1,vmin,vmax)
|
|
|
1098 |
call ddh3(th,dthdx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1099 |
call ddh3(vv,dvdx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1100 |
call ddh3(th,dthdy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1101 |
c conversion of uu for spheric coordinates (uu*cos(phi))
|
|
|
1102 |
do k=1,ke
|
|
|
1103 |
uu2(1:ie,1:je,k)=uu(1:ie,1:je,k)*cl(1:ie,1:je)
|
|
|
1104 |
enddo
|
|
|
1105 |
call ddh3(uu2,dudy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1106 |
c conversion of dudy for spheric coordinates (dudy/cos(phi))
|
|
|
1107 |
do k=1,ke
|
|
|
1108 |
dudy(1:ie,1:je,k)=dudy(1:ie,1:je,k)/cl(1:ie,1:je)
|
|
|
1109 |
enddo
|
|
|
1110 |
|
|
|
1111 |
do k=1,ke
|
|
|
1112 |
pv(1:ie,1:je,k)=1.E6*9.80665*(
|
|
|
1113 |
> -(-dudy(1:ie,1:je,k)+dvdx(1:ie,1:je,k)
|
|
|
1114 |
> +f(1:ie,1:je))*dthdp(1:ie,1:je,k)
|
|
|
1115 |
> -(dudp(1:ie,1:je,k)*dthdy(1:ie,1:je,k)
|
|
|
1116 |
> -dvdp(1:ie,1:je,k)*dthdx(1:ie,1:je,k)))
|
|
|
1117 |
enddo
|
|
|
1118 |
|
|
|
1119 |
c interpolate poles from neighbouring points on every level
|
|
|
1120 |
if (vmax(2).gt.89.5) then
|
|
|
1121 |
do k=1,ke
|
|
|
1122 |
pvpole=0.
|
|
|
1123 |
do i=1,ie
|
|
|
1124 |
pvpole=pvpole+pv(i,je-1,k)
|
|
|
1125 |
enddo
|
|
|
1126 |
pvpole=pvpole/real(ie)
|
|
|
1127 |
do i=1,ie
|
|
|
1128 |
pv(i,je,k)=pvpole
|
|
|
1129 |
enddo
|
|
|
1130 |
enddo
|
|
|
1131 |
endif
|
|
|
1132 |
|
|
|
1133 |
if (vmin(2).lt.-89.5) then
|
|
|
1134 |
do k=1,ke
|
|
|
1135 |
pvpole=0.
|
|
|
1136 |
do i=1,ie
|
|
|
1137 |
pvpole=pvpole+pv(i,2,k)
|
|
|
1138 |
enddo
|
|
|
1139 |
pvpole=pvpole/real(ie)
|
|
|
1140 |
do i=1,ie
|
|
|
1141 |
pv(i,1,k)=pvpole
|
|
|
1142 |
enddo
|
|
|
1143 |
enddo
|
|
|
1144 |
endif
|
|
|
1145 |
|
|
|
1146 |
IF (ALLOCATED(dspdx)) DEALLOCATE(dspdx)
|
|
|
1147 |
IF (ALLOCATED(dspdy)) DEALLOCATE(dspdy)
|
|
|
1148 |
IF (ALLOCATED(dthdp)) DEALLOCATE(dthdp)
|
|
|
1149 |
IF (ALLOCATED(dudp)) DEALLOCATE(dudp)
|
|
|
1150 |
IF (ALLOCATED(dvdp)) DEALLOCATE(dvdp)
|
|
|
1151 |
IF (ALLOCATED(dvdx)) DEALLOCATE(dvdx)
|
|
|
1152 |
IF (ALLOCATED(dudy)) DEALLOCATE(dudy)
|
|
|
1153 |
IF (ALLOCATED(dthdx)) DEALLOCATE(dthdx)
|
|
|
1154 |
IF (ALLOCATED(dthdy)) DEALLOCATE(dthdy)
|
|
|
1155 |
IF (ALLOCATED(uu2)) DEALLOCATE(uu2)
|
|
|
1156 |
|
|
|
1157 |
end
|
|
|
1158 |
|
|
|
1159 |
subroutine potvort_i(pv,uu,vv,p,cl,f,ie,je,ke,ak,
|
|
|
1160 |
> vmin,vmax,mdv)
|
|
|
1161 |
C =================================================
|
|
|
1162 |
C calculate isentropic PV
|
|
|
1163 |
C !! calculating PV makes sense only
|
|
|
1164 |
C when theta levels are very close to each others !!
|
|
|
1165 |
C with misdat (mdv) treatment
|
|
|
1166 |
|
|
|
1167 |
c argument declaration
|
|
|
1168 |
integer ie,je,ke
|
|
|
1169 |
real pv(ie,je,ke),uu(ie,je,ke),vv(ie,je,ke),
|
|
|
1170 |
> p(ie,je,ke),cl(ie,je),f(ie,je)
|
|
|
1171 |
real ak(ke),vmin(4),vmax(4),mdv
|
|
|
1172 |
real pvpole
|
|
|
1173 |
|
|
|
1174 |
c variable declaration
|
|
|
1175 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: dpdth
|
|
|
1176 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: uu2,dvdx,dudy
|
|
|
1177 |
integer i,j,k,stat
|
|
|
1178 |
|
|
|
1179 |
allocate(dpdth(ie,je,ke),STAT=stat)
|
|
|
1180 |
if (stat.ne.0) print*,'potvort_i: error allocating dpdth'
|
|
|
1181 |
allocate(dvdx(ie,je,ke),STAT=stat)
|
|
|
1182 |
if (stat.ne.0) print*,'potvort_i: error allocating dvdx'
|
|
|
1183 |
allocate(dudy(ie,je,ke),STAT=stat)
|
|
|
1184 |
if (stat.ne.0) print*,'potvort_i: error allocating dudy'
|
|
|
1185 |
allocate(uu2(ie,je,ke),STAT=stat)
|
|
|
1186 |
if (stat.ne.0) print*,'potvort_i: error allocating uu2'
|
|
|
1187 |
|
|
|
1188 |
c calculate dp/dth
|
|
|
1189 |
c k=1
|
|
|
1190 |
do i=1,ie
|
|
|
1191 |
do j=1,je
|
|
|
1192 |
if ((p(i,j,2).eq.mdv).or.(p(i,j,1).eq.mdv)) then
|
|
|
1193 |
dpdth(i,j,1)=mdv
|
|
|
1194 |
else
|
|
|
1195 |
dpdth(i,j,1)=100.*(p(i,j,2)-p(i,j,1))/(ak(2)-ak(1))
|
|
|
1196 |
endif
|
|
|
1197 |
enddo
|
|
|
1198 |
enddo
|
|
|
1199 |
|
|
|
1200 |
c k=2,ke-1
|
|
|
1201 |
do i=1,ie
|
|
|
1202 |
do j=1,je
|
|
|
1203 |
do k=2,ke-1
|
|
|
1204 |
if ((p(i,j,k+1).eq.mdv).or.(p(i,j,k-1).eq.mdv)) then
|
|
|
1205 |
dpdth(i,j,k)=mdv
|
|
|
1206 |
else
|
|
|
1207 |
dpdth(i,j,k)=100.*(p(i,j,k+1)-p(i,j,k-1))/(ak(k+1)-ak(k-1))
|
|
|
1208 |
endif
|
|
|
1209 |
enddo
|
|
|
1210 |
enddo
|
|
|
1211 |
enddo
|
|
|
1212 |
|
|
|
1213 |
c k=ke
|
|
|
1214 |
do i=1,ie
|
|
|
1215 |
do j=1,je
|
|
|
1216 |
if ((p(i,j,ke).eq.mdv).or.(p(i,j,ke-1).eq.mdv)) then
|
|
|
1217 |
dpdth(i,j,ke)=mdv
|
|
|
1218 |
else
|
|
|
1219 |
dpdth(i,j,ke)=100.*(p(i,j,ke)-p(i,j,ke-1))/(ak(ke)-ak(ke-1))
|
|
|
1220 |
endif
|
|
|
1221 |
enddo
|
|
|
1222 |
enddo
|
|
|
1223 |
|
|
|
1224 |
call ddh2m(vv,dvdx,cl,'X',ie,je,ke,vmin,vmax,mdv)
|
|
|
1225 |
c conversion of uu for spheric coordinates (uu*cos(phi))
|
|
|
1226 |
|
|
|
1227 |
|
|
|
1228 |
do i=1,ie
|
|
|
1229 |
do j=1,je
|
|
|
1230 |
do k=1,ke
|
|
|
1231 |
if (uu(i,j,k).ne.mdv) then
|
|
|
1232 |
uu2(i,j,k)=uu(i,j,k)*cl(i,j)
|
|
|
1233 |
else
|
|
|
1234 |
uu2(i,j,k)=mdv
|
|
|
1235 |
endif
|
|
|
1236 |
enddo
|
|
|
1237 |
enddo
|
|
|
1238 |
enddo
|
|
|
1239 |
call ddh2m(uu2,dudy,cl,'Y',ie,je,ke,vmin,vmax,mdv)
|
|
|
1240 |
c conversion of dudy for spheric coordinates (dudy/cos(phi))
|
|
|
1241 |
do i=1,ie
|
|
|
1242 |
do j=1,je
|
|
|
1243 |
do k=1,ke
|
|
|
1244 |
if (dudy(i,j,k).ne.mdv) then
|
|
|
1245 |
dudy(i,j,k)=dudy(i,j,k)/cl(i,j)
|
|
|
1246 |
else
|
|
|
1247 |
dudy(i,j,k)=mdv
|
|
|
1248 |
endif
|
|
|
1249 |
enddo
|
|
|
1250 |
enddo
|
|
|
1251 |
enddo
|
|
|
1252 |
|
|
|
1253 |
do i=1,ie
|
|
|
1254 |
do j=1,je
|
|
|
1255 |
do k=1,ke
|
|
|
1256 |
if ((dudy(i,j,k).eq.mdv).or.(dvdx(i,j,k).eq.mdv).or.
|
|
|
1257 |
> (dpdth(i,j,k).eq.mdv).or.(dpdth(i,j,k).eq.0.)) then
|
|
|
1258 |
pv(i,j,k)=mdv
|
|
|
1259 |
else
|
|
|
1260 |
pv(i,j,k)=-1.E6*9.80665*
|
|
|
1261 |
> (-dudy(i,j,k)+dvdx(i,j,k)+f(i,j))/dpdth(i,j,k)
|
|
|
1262 |
endif
|
|
|
1263 |
enddo
|
|
|
1264 |
enddo
|
|
|
1265 |
enddo
|
|
|
1266 |
|
|
|
1267 |
c interpolate poles from neighbouring points on every level
|
|
|
1268 |
if (vmax(2).eq.90.) then
|
|
|
1269 |
do k=1,ke
|
|
|
1270 |
pvpole=0.
|
|
|
1271 |
do i=1,ie
|
|
|
1272 |
pvpole=pvpole+pv(i,je-1,k)
|
|
|
1273 |
enddo
|
|
|
1274 |
pvpole=pvpole/real(ie)
|
|
|
1275 |
do i=1,ie
|
|
|
1276 |
pv(i,je,k)=pvpole
|
|
|
1277 |
enddo
|
|
|
1278 |
enddo
|
|
|
1279 |
endif
|
|
|
1280 |
|
|
|
1281 |
if (vmin(2).eq.-90.) then
|
|
|
1282 |
do k=1,ke
|
|
|
1283 |
pvpole=0.
|
|
|
1284 |
do i=1,ie
|
|
|
1285 |
pvpole=pvpole+pv(i,2,k)
|
|
|
1286 |
enddo
|
|
|
1287 |
pvpole=pvpole/real(ie)
|
|
|
1288 |
do i=1,ie
|
|
|
1289 |
pv(i,1,k)=pvpole
|
|
|
1290 |
enddo
|
|
|
1291 |
enddo
|
|
|
1292 |
endif
|
|
|
1293 |
|
|
|
1294 |
IF (ALLOCATED(dpdth)) DEALLOCATE(dpdth)
|
|
|
1295 |
IF (ALLOCATED(dvdx)) DEALLOCATE(dvdx)
|
|
|
1296 |
IF (ALLOCATED(dudy)) DEALLOCATE(dudy)
|
|
|
1297 |
IF (ALLOCATED(uu2)) DEALLOCATE(uu2)
|
|
|
1298 |
|
|
|
1299 |
end
|
|
|
1300 |
|
|
|
1301 |
|
|
|
1302 |
subroutine gpotvort_i2(dpv,uu,vv,p,cl,f,ie,je,ke,ak,
|
|
|
1303 |
> vmin,vmax,mdv)
|
|
|
1304 |
C =================================================
|
|
|
1305 |
C calculate isentropic PV gradient length
|
|
|
1306 |
C GPV=SQRT(D[PV:X]^2+D[PV:Y]^2)
|
|
|
1307 |
C !! it calculates PV with potvort_i, what makes sense only
|
|
|
1308 |
C when theta levels are very close to each others !!
|
|
|
1309 |
C with misdat (mdv) treatment
|
|
|
1310 |
|
|
|
1311 |
c argument declaration
|
|
|
1312 |
integer ie,je,ke
|
|
|
1313 |
real dpv(ie,je,ke),uu(ie,je,ke),vv(ie,je,ke),
|
|
|
1314 |
> p(ie,je,ke),cl(ie,je),f(ie,je)
|
|
|
1315 |
real ak(ke),vmin(4),vmax(4),mdv
|
|
|
1316 |
|
|
|
1317 |
c variable declaration
|
|
|
1318 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: pv
|
|
|
1319 |
REAL,ALLOCATABLE, DIMENSION (:,:) :: dpvdx,dpvdy
|
|
|
1320 |
integer stat
|
|
|
1321 |
real dpvpole
|
|
|
1322 |
|
|
|
1323 |
allocate(pv(ie,je,ke),STAT=stat)
|
|
|
1324 |
if (stat.ne.0) print*,'gpotvort_i2: error allocating pv'
|
|
|
1325 |
allocate(dpvdx(ie,je),STAT=stat)
|
|
|
1326 |
if (stat.ne.0) print*,'gpotvort_i2: error allocating dpvdx'
|
|
|
1327 |
allocate(dpvdy(ie,je),STAT=stat)
|
|
|
1328 |
if (stat.ne.0) print*,'gpotvort_i2: error allocating dpvdy'
|
|
|
1329 |
|
|
|
1330 |
call potvort_i(pv,uu,vv,p,cl,f,ie,je,ke,ak,
|
|
|
1331 |
> vmin,vmax,mdv)
|
|
|
1332 |
|
|
|
1333 |
do k=1,ke
|
|
|
1334 |
call ddh2m(pv(1,1,k),dpvdx,cl,'X',ie,je,1,vmin,vmax,mdv)
|
|
|
1335 |
call ddh2m(pv(1,1,k),dpvdy,cl,'Y',ie,je,1,vmin,vmax,mdv)
|
|
|
1336 |
do j=1,je
|
|
|
1337 |
do i=1,ie
|
|
|
1338 |
if ((dpvdx(i,j).ne.mdv).and.(dpvdy(i,j).ne.mdv)) then
|
|
|
1339 |
dpv(i,j,k)=1.E6*sqrt(dpvdx(i,j)**2.+dpvdy(i,j)**2.)
|
|
|
1340 |
else
|
|
|
1341 |
dpv(i,j,k)=mdv
|
|
|
1342 |
endif
|
|
|
1343 |
enddo
|
|
|
1344 |
enddo
|
|
|
1345 |
enddo
|
|
|
1346 |
|
|
|
1347 |
IF (ALLOCATED(pv)) DEALLOCATE(pv)
|
|
|
1348 |
IF (ALLOCATED(dpvdx)) DEALLOCATE(dpvdx)
|
|
|
1349 |
IF (ALLOCATED(dpvdy)) DEALLOCATE(dpvdy)
|
|
|
1350 |
|
|
|
1351 |
end
|
|
|
1352 |
|
|
|
1353 |
subroutine gpotvort_i(dpv,pv,cl,ie,je,ke,
|
|
|
1354 |
> vmin,vmax,mdv)
|
|
|
1355 |
C =================================================
|
|
|
1356 |
C calculate isentropic PV gradient length
|
|
|
1357 |
C GPV=SQRT(D[PV:X]^2+D[PV:Y]^2)
|
|
|
1358 |
C !! it uses PV as input, best calculated with
|
|
|
1359 |
C potvort (with data from P file) !!
|
|
|
1360 |
C with misdat (mdv) treatment
|
|
|
1361 |
C 990201 mark liniger
|
|
|
1362 |
|
|
|
1363 |
c argument declaration
|
|
|
1364 |
integer ie,je,ke
|
|
|
1365 |
real dpv(ie,je,ke),pv(ie,je,ke),cl(ie,je)
|
|
|
1366 |
real vmin(4),vmax(4),mdv
|
|
|
1367 |
|
|
|
1368 |
c variable declaration
|
|
|
1369 |
REAL,ALLOCATABLE, DIMENSION (:,:) :: dpvdx,dpvdy
|
|
|
1370 |
integer stat
|
|
|
1371 |
|
|
|
1372 |
allocate(dpvdx(ie,je),STAT=stat)
|
|
|
1373 |
if (stat.ne.0) print*,'gpotvort_i: error allocating dpvdx'
|
|
|
1374 |
allocate(dpvdy(ie,je),STAT=stat)
|
|
|
1375 |
if (stat.ne.0) print*,'gpotvort_i: error allocating dpvdy'
|
|
|
1376 |
|
|
|
1377 |
do k=1,ke
|
|
|
1378 |
call ddh2m(pv(1,1,k),dpvdx,cl,'X',ie,je,1,vmin,vmax,mdv)
|
|
|
1379 |
call ddh2m(pv(1,1,k),dpvdy,cl,'Y',ie,je,1,vmin,vmax,mdv)
|
|
|
1380 |
do j=1,je
|
|
|
1381 |
do i=1,ie
|
|
|
1382 |
if ((dpvdx(i,j).ne.mdv).and.(dpvdy(i,j).ne.mdv)) then
|
|
|
1383 |
dpv(i,j,k)=1.E6*sqrt(dpvdx(i,j)**2.+dpvdy(i,j)**2.)
|
|
|
1384 |
else
|
|
|
1385 |
dpv(i,j,k)=mdv
|
|
|
1386 |
endif
|
|
|
1387 |
enddo
|
|
|
1388 |
enddo
|
|
|
1389 |
enddo
|
|
|
1390 |
|
|
|
1391 |
IF (ALLOCATED(dpvdx)) DEALLOCATE(dpvdx)
|
|
|
1392 |
IF (ALLOCATED(dpvdy)) DEALLOCATE(dpvdy)
|
|
|
1393 |
|
|
|
1394 |
end
|
|
|
1395 |
|
|
|
1396 |
|
|
|
1397 |
subroutine divqu(var,uu,vv,qq,cl,ie,je,ke,vmin,vmax,mdv)
|
|
|
1398 |
C ========================================================
|
|
|
1399 |
C calculate divergence DIV=D[U:X]+D[V*cos(phi):Y]/cos(phi)
|
|
|
1400 |
C with misdat (mdv) and pole treatment
|
|
|
1401 |
|
|
|
1402 |
c argument declaration
|
|
|
1403 |
integer ie,je,ke
|
|
|
1404 |
real,intent(OUT) :: var(ie,je,ke)
|
|
|
1405 |
real,intent(IN) :: uu(ie,je,ke),vv(ie,je,ke),qq(ie,je,ke),
|
|
|
1406 |
> cl(ie,je)
|
|
|
1407 |
real vmin(4),vmax(4),mdv
|
|
|
1408 |
|
|
|
1409 |
|
|
|
1410 |
c variable declaration
|
|
|
1411 |
REAL,ALLOCATABLE, DIMENSION (:,:) :: qv2,dqudx,dqvdy
|
|
|
1412 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: qu,qv
|
|
|
1413 |
integer stat
|
|
|
1414 |
real pole
|
|
|
1415 |
|
|
|
1416 |
allocate(qv2(ie,je),STAT=stat)
|
|
|
1417 |
if (stat.ne.0) print*,'divqu: error allocating qv2'
|
|
|
1418 |
allocate(dqudx(ie,je),STAT=stat)
|
|
|
1419 |
if (stat.ne.0) print*,'divqu: error allocating dqudx'
|
|
|
1420 |
allocate(dqvdy(ie,je),STAT=stat)
|
|
|
1421 |
if (stat.ne.0) print*,'divqu: error allocating dqvdy'
|
|
|
1422 |
allocate(qu(ie,je,ke),STAT=stat)
|
|
|
1423 |
if (stat.ne.0) print*,'divqu: error allocating qu'
|
|
|
1424 |
allocate(qv(ie,je,ke),STAT=stat)
|
|
|
1425 |
if (stat.ne.0) print*,'divqu: error allocating qv'
|
|
|
1426 |
|
|
|
1427 |
do k=1,ke
|
|
|
1428 |
do j=1,je
|
|
|
1429 |
do i=1,ie
|
|
|
1430 |
qu(i,j,k)=qq(i,j,k)*uu(i,j,k)
|
|
|
1431 |
qv(i,j,k)=qq(i,j,k)*vv(i,j,k)
|
|
|
1432 |
enddo
|
|
|
1433 |
enddo
|
|
|
1434 |
enddo
|
|
|
1435 |
|
|
|
1436 |
do k=1,ke
|
|
|
1437 |
call ddh2m(qu(1,1,k),dqudx,cl,'X',ie,je,1,vmin,vmax,mdv)
|
|
|
1438 |
|
|
|
1439 |
c conversion of qv for spheric coordinates (qv*cos(phi))
|
|
|
1440 |
do j=1,je
|
|
|
1441 |
do i=1,ie
|
|
|
1442 |
if (qv(i,j,k).ne.mdv) then
|
|
|
1443 |
qv2(i,j)=qv(i,j,k)*cl(i,j)
|
|
|
1444 |
else
|
|
|
1445 |
qv2(i,k)=mdv
|
|
|
1446 |
endif
|
|
|
1447 |
enddo
|
|
|
1448 |
enddo
|
|
|
1449 |
|
|
|
1450 |
|
|
|
1451 |
call ddh2m(qv2,dqvdy,cl,'Y',ie,je,1,vmin,vmax,mdv)
|
|
|
1452 |
|
|
|
1453 |
c conversion of dqvdy for spheric coordinates (dqvdy/cos(phi))
|
|
|
1454 |
do j=1,je
|
|
|
1455 |
do i=1,ie
|
|
|
1456 |
if ((dqudx(i,j).ne.mdv).and.(dqvdy(i,j).ne.mdv)) then
|
|
|
1457 |
var(i,j,k)=1.E6*(dqudx(i,j)+dqvdy(i,j)/cl(i,j))
|
|
|
1458 |
else
|
|
|
1459 |
var(i,j,k)=mdv
|
|
|
1460 |
endif
|
|
|
1461 |
enddo
|
|
|
1462 |
enddo
|
|
|
1463 |
enddo
|
|
|
1464 |
|
|
|
1465 |
c interpolate poles from neighbouring points on every level
|
|
|
1466 |
if (vmax(2).eq.90.) then
|
|
|
1467 |
do k=1,ke
|
|
|
1468 |
pole=0.
|
|
|
1469 |
counter=0.
|
|
|
1470 |
do i=1,ie
|
|
|
1471 |
if (var(i,je-1,k).ne.mdv) then
|
|
|
1472 |
counter=counter+1
|
|
|
1473 |
pole=pole+var(i,je-1,k)
|
|
|
1474 |
endif
|
|
|
1475 |
enddo
|
|
|
1476 |
if (counter.ne.0) then
|
|
|
1477 |
pole=pole/counter
|
|
|
1478 |
else
|
|
|
1479 |
pole=mdv
|
|
|
1480 |
endif
|
|
|
1481 |
do i=1,ie
|
|
|
1482 |
var(i,je,k)=pole
|
|
|
1483 |
enddo
|
|
|
1484 |
enddo
|
|
|
1485 |
endif
|
|
|
1486 |
|
|
|
1487 |
if (vmin(2).eq.-90.) then
|
|
|
1488 |
do k=1,ke
|
|
|
1489 |
pole=0.
|
|
|
1490 |
counter=0.
|
|
|
1491 |
do i=1,ie
|
|
|
1492 |
if (var(i,2,k).ne.mdv) then
|
|
|
1493 |
counter=counter+1
|
|
|
1494 |
pole=pole+var(i,2,k)
|
|
|
1495 |
endif
|
|
|
1496 |
enddo
|
|
|
1497 |
if (counter.ne.0) then
|
|
|
1498 |
pole=pole/counter
|
|
|
1499 |
else
|
|
|
1500 |
pole=mdv
|
|
|
1501 |
endif
|
|
|
1502 |
do i=1,ie
|
|
|
1503 |
var(i,1,k)=pole
|
|
|
1504 |
enddo
|
|
|
1505 |
enddo
|
|
|
1506 |
endif
|
|
|
1507 |
|
|
|
1508 |
IF (ALLOCATED(dqudx)) DEALLOCATE(dqudx)
|
|
|
1509 |
IF (ALLOCATED(dqvdy)) DEALLOCATE(dqvdy)
|
|
|
1510 |
IF (ALLOCATED(qu)) DEALLOCATE(qu)
|
|
|
1511 |
IF (ALLOCATED(qv)) DEALLOCATE(qv)
|
|
|
1512 |
IF (ALLOCATED(qv2)) DEALLOCATE(qv2)
|
|
|
1513 |
|
|
|
1514 |
end
|
|
|
1515 |
subroutine div_i(var,uu,vv,cl,ie,je,ke,vmin,vmax,mdv)
|
|
|
1516 |
C =====================================================
|
|
|
1517 |
C calculate divergence DIV=D[U:X]+D[V*cos(phi):Y]/cos(phi)
|
|
|
1518 |
C with misdat (mdv) and pole treatment
|
|
|
1519 |
C 990201 mark liniger
|
|
|
1520 |
|
|
|
1521 |
c argument declaration
|
|
|
1522 |
integer ie,je,ke
|
|
|
1523 |
real,intent(OUT) :: var(ie,je,ke)
|
|
|
1524 |
real,intent(IN) :: uu(ie,je,ke),vv(ie,je,ke),cl(ie,je)
|
|
|
1525 |
real vmin(4),vmax(4),mdv
|
|
|
1526 |
|
|
|
1527 |
|
|
|
1528 |
c variable declaration
|
|
|
1529 |
REAL,ALLOCATABLE, DIMENSION (:,:) :: vv2,dudx,dvdy
|
|
|
1530 |
integer stat
|
|
|
1531 |
real pole
|
|
|
1532 |
|
|
|
1533 |
allocate(vv2(ie,je),STAT=stat)
|
|
|
1534 |
if (stat.ne.0) print*,'div_i: error allocating vv2'
|
|
|
1535 |
allocate(dudx(ie,je),STAT=stat)
|
|
|
1536 |
if (stat.ne.0) print*,'div_i: error allocating dudx'
|
|
|
1537 |
allocate(dvdy(ie,je),STAT=stat)
|
|
|
1538 |
if (stat.ne.0) print*,'div_i: error allocating dvdy'
|
|
|
1539 |
|
|
|
1540 |
|
|
|
1541 |
do k=1,ke
|
|
|
1542 |
call ddh2m(uu(1,1,k),dudx,cl,'X',ie,je,1,vmin,vmax,mdv)
|
|
|
1543 |
|
|
|
1544 |
c conversion of vv for spheric coordinates (vv*cos(phi))
|
|
|
1545 |
do j=1,je
|
|
|
1546 |
do i=1,ie
|
|
|
1547 |
if (vv(i,j,k).ne.mdv) then
|
|
|
1548 |
vv2(i,j)=vv(i,j,k)*cl(i,j)
|
|
|
1549 |
else
|
|
|
1550 |
vv2(i,k)=mdv
|
|
|
1551 |
endif
|
|
|
1552 |
enddo
|
|
|
1553 |
enddo
|
|
|
1554 |
|
|
|
1555 |
|
|
|
1556 |
call ddh2m(vv2,dvdy,cl,'Y',ie,je,1,vmin,vmax,mdv)
|
|
|
1557 |
|
|
|
1558 |
c conversion of dvdy for spheric coordinates (dvdy/cos(phi))
|
|
|
1559 |
do j=1,je
|
|
|
1560 |
do i=1,ie
|
|
|
1561 |
if ((dudx(i,j).ne.mdv).and.(dvdy(i,j).ne.mdv)) then
|
|
|
1562 |
var(i,j,k)=1.E6*(dudx(i,j)+dvdy(i,j)/cl(i,j))
|
|
|
1563 |
else
|
|
|
1564 |
var(i,j,k)=mdv
|
|
|
1565 |
endif
|
|
|
1566 |
enddo
|
|
|
1567 |
enddo
|
|
|
1568 |
enddo
|
|
|
1569 |
|
|
|
1570 |
c interpolate poles from neighbouring points on every level
|
|
|
1571 |
if (vmax(2).eq.90.) then
|
|
|
1572 |
do k=1,ke
|
|
|
1573 |
pole=0.
|
|
|
1574 |
counter=0.
|
|
|
1575 |
do i=1,ie
|
|
|
1576 |
if (var(i,je-1,k).ne.mdv) then
|
|
|
1577 |
counter=counter+1
|
|
|
1578 |
pole=pole+var(i,je-1,k)
|
|
|
1579 |
endif
|
|
|
1580 |
enddo
|
|
|
1581 |
if (counter.ne.0) then
|
|
|
1582 |
pole=pole/counter
|
|
|
1583 |
else
|
|
|
1584 |
pole=mdv
|
|
|
1585 |
endif
|
|
|
1586 |
do i=1,ie
|
|
|
1587 |
var(i,je,k)=pole
|
|
|
1588 |
enddo
|
|
|
1589 |
enddo
|
|
|
1590 |
endif
|
|
|
1591 |
|
|
|
1592 |
if (vmin(2).eq.-90.) then
|
|
|
1593 |
do k=1,ke
|
|
|
1594 |
pole=0.
|
|
|
1595 |
counter=0.
|
|
|
1596 |
do i=1,ie
|
|
|
1597 |
if (var(i,2,k).ne.mdv) then
|
|
|
1598 |
counter=counter+1
|
|
|
1599 |
pole=pole+var(i,2,k)
|
|
|
1600 |
endif
|
|
|
1601 |
enddo
|
|
|
1602 |
if (counter.ne.0) then
|
|
|
1603 |
pole=pole/counter
|
|
|
1604 |
else
|
|
|
1605 |
pole=mdv
|
|
|
1606 |
endif
|
|
|
1607 |
do i=1,ie
|
|
|
1608 |
var(i,1,k)=pole
|
|
|
1609 |
enddo
|
|
|
1610 |
enddo
|
|
|
1611 |
endif
|
|
|
1612 |
|
|
|
1613 |
IF (ALLOCATED(dudx)) DEALLOCATE(dudx)
|
|
|
1614 |
IF (ALLOCATED(vv2)) DEALLOCATE(vv2)
|
|
|
1615 |
IF (ALLOCATED(dvdy)) DEALLOCATE(dvdy)
|
|
|
1616 |
|
|
|
1617 |
end
|
|
|
1618 |
|
|
|
1619 |
subroutine def_i(var,uu,vv,cl,ie,je,ke,vmin,vmax,mdv)
|
|
|
1620 |
C =====================================================
|
|
|
1621 |
C calculate deformation (strain) DEF= 1e6*SQRT(
|
|
|
1622 |
C ( D[V:X]+D[U*cos(phi):Y]/cos(phi) )^2
|
|
|
1623 |
C ( D[U:X]-D[V*cos(phi):Y]/cos(phi) )^2 )
|
|
|
1624 |
C with misdat (mdv) treatment
|
|
|
1625 |
C 990501 mark liniger
|
|
|
1626 |
|
|
|
1627 |
c argument declaration
|
|
|
1628 |
integer ie,je,ke
|
|
|
1629 |
real,intent(OUT) :: var(ie,je,ke)
|
|
|
1630 |
real,intent(IN) :: uu(ie,je,ke),vv(ie,je,ke),cl(ie,je)
|
|
|
1631 |
real vmin(4),vmax(4),mdv
|
|
|
1632 |
|
|
|
1633 |
c variable declaration
|
|
|
1634 |
REAL,ALLOCATABLE, DIMENSION (:,:) :: uu2,vv2,dudx,dvdx,dudy,dvdy
|
|
|
1635 |
integer stat
|
|
|
1636 |
real pole
|
|
|
1637 |
|
|
|
1638 |
allocate(uu2(ie,je),STAT=stat)
|
|
|
1639 |
if (stat.ne.0) print*,'dev_i: error allocating uu2'
|
|
|
1640 |
allocate(vv2(ie,je),STAT=stat)
|
|
|
1641 |
if (stat.ne.0) print*,'dev_i: error allocating vv2'
|
|
|
1642 |
allocate(dudx(ie,je),STAT=stat)
|
|
|
1643 |
if (stat.ne.0) print*,'dev_i: error allocating dudx'
|
|
|
1644 |
allocate(dvdx(ie,je),STAT=stat)
|
|
|
1645 |
if (stat.ne.0) print*,'dev_i: error allocating dvdx'
|
|
|
1646 |
allocate(dudy(ie,je),STAT=stat)
|
|
|
1647 |
if (stat.ne.0) print*,'dev_i: error allocating dudy'
|
|
|
1648 |
allocate(dvdy(ie,je),STAT=stat)
|
|
|
1649 |
if (stat.ne.0) print*,'dev_i: error allocating dvdy'
|
|
|
1650 |
|
|
|
1651 |
|
|
|
1652 |
do k=1,ke
|
|
|
1653 |
call ddh2m(uu(1,1,k),dudx,cl,'X',ie,je,1,vmin,vmax,mdv)
|
|
|
1654 |
call ddh2m(vv(1,1,k),dvdx,cl,'X',ie,je,1,vmin,vmax,mdv)
|
|
|
1655 |
|
|
|
1656 |
c conversion of uu/vv for spheric coordinates (??*cos(phi))
|
|
|
1657 |
|
|
|
1658 |
do j=1,je
|
|
|
1659 |
do i=1,ie
|
|
|
1660 |
if (uu(i,j,k).ne.mdv) then
|
|
|
1661 |
uu2(i,j)=uu(i,j,k)*cl(i,j)
|
|
|
1662 |
else
|
|
|
1663 |
uu2(i,j)=mdv
|
|
|
1664 |
endif
|
|
|
1665 |
if (vv(i,j,k).ne.mdv) then
|
|
|
1666 |
vv2(i,j)=vv(i,j,k)*cl(i,j)
|
|
|
1667 |
else
|
|
|
1668 |
vv2(i,j)=mdv
|
|
|
1669 |
endif
|
|
|
1670 |
enddo
|
|
|
1671 |
enddo
|
|
|
1672 |
|
|
|
1673 |
call ddh2m(uu2,dudy,cl,'Y',ie,je,1,vmin,vmax,mdv)
|
|
|
1674 |
call ddh2m(vv2,dvdy,cl,'Y',ie,je,1,vmin,vmax,mdv)
|
|
|
1675 |
|
|
|
1676 |
c conversion of d?dy for spheric coordinates (d?dy/cos(phi))
|
|
|
1677 |
do j=1,je
|
|
|
1678 |
do i=1,ie
|
|
|
1679 |
if ((dudx(i,j).ne.mdv).and.
|
|
|
1680 |
> (dudy(i,j).ne.mdv).and.
|
|
|
1681 |
> (dvdx(i,j).ne.mdv).and.
|
|
|
1682 |
> (dvdy(i,j).ne.mdv)) then
|
|
|
1683 |
|
|
|
1684 |
var(i,j,k)=1.e6*sqrt(
|
|
|
1685 |
> (dvdx(i,j)+dudy(i,j)/cl(i,j))
|
|
|
1686 |
> *(dvdx(i,j)+dudy(i,j)/cl(i,j))
|
|
|
1687 |
> +(dudx(i,j)-dvdy(i,j)/cl(i,j))
|
|
|
1688 |
> *(dudx(i,j)-dvdy(i,j)/cl(i,j)))
|
|
|
1689 |
|
|
|
1690 |
else
|
|
|
1691 |
var(i,j,k)=mdv
|
|
|
1692 |
endif
|
|
|
1693 |
enddo
|
|
|
1694 |
enddo
|
|
|
1695 |
enddo
|
|
|
1696 |
|
|
|
1697 |
c interpolate poles from neighbouring points on every level
|
|
|
1698 |
if (vmax(2).eq.90.) then
|
|
|
1699 |
do k=1,ke
|
|
|
1700 |
pole=0.
|
|
|
1701 |
do i=1,ie
|
|
|
1702 |
pole=pole+var(i,je-1,k)
|
|
|
1703 |
enddo
|
|
|
1704 |
pole=pole/real(ie)
|
|
|
1705 |
do i=1,ie
|
|
|
1706 |
var(i,je,k)=pole
|
|
|
1707 |
enddo
|
|
|
1708 |
enddo
|
|
|
1709 |
endif
|
|
|
1710 |
|
|
|
1711 |
if (vmin(2).eq.-90.) then
|
|
|
1712 |
do k=1,ke
|
|
|
1713 |
pole=0.
|
|
|
1714 |
do i=1,ie
|
|
|
1715 |
pole=pole+var(i,2,k)
|
|
|
1716 |
enddo
|
|
|
1717 |
pole=pole/real(ie)
|
|
|
1718 |
do i=1,ie
|
|
|
1719 |
var(i,1,k)=pole
|
|
|
1720 |
enddo
|
|
|
1721 |
enddo
|
|
|
1722 |
endif
|
|
|
1723 |
|
|
|
1724 |
IF (ALLOCATED(uu2)) DEALLOCATE(uu2)
|
|
|
1725 |
IF (ALLOCATED(vv2)) DEALLOCATE(vv2)
|
|
|
1726 |
IF (ALLOCATED(dudx)) DEALLOCATE(dudx)
|
|
|
1727 |
IF (ALLOCATED(dudy)) DEALLOCATE(dudy)
|
|
|
1728 |
IF (ALLOCATED(dvdx)) DEALLOCATE(dvdx)
|
|
|
1729 |
IF (ALLOCATED(dvdy)) DEALLOCATE(dvdy)
|
|
|
1730 |
|
|
|
1731 |
end
|
|
|
1732 |
|
|
|
1733 |
|
|
|
1734 |
subroutine defn_i(var,uu,vv,cl,ie,je,ke,vmin,vmax,mdv)
|
|
|
1735 |
C =====================================================
|
|
|
1736 |
C calculate normal deformation (normal strain)
|
|
|
1737 |
C DEFN= 1e6*( D[U:X]-D[V*cos(phi):Y]/cos(phi) )
|
|
|
1738 |
C with misdat (mdv) treatment
|
|
|
1739 |
C 990727 mark liniger
|
|
|
1740 |
|
|
|
1741 |
c argument declaration
|
|
|
1742 |
integer ie,je,ke
|
|
|
1743 |
real,intent(OUT) :: var(ie,je,ke)
|
|
|
1744 |
real,intent(IN) :: uu(ie,je,ke),vv(ie,je,ke),cl(ie,je)
|
|
|
1745 |
real vmin(4),vmax(4),mdv
|
|
|
1746 |
|
|
|
1747 |
c variable declaration
|
|
|
1748 |
REAL,ALLOCATABLE, DIMENSION (:,:) :: vv2,dudx,dvdy
|
|
|
1749 |
integer stat
|
|
|
1750 |
real pole
|
|
|
1751 |
|
|
|
1752 |
allocate(vv2(ie,je),STAT=stat)
|
|
|
1753 |
if (stat.ne.0) print*,'dev_i: error allocating vv2'
|
|
|
1754 |
allocate(dudx(ie,je),STAT=stat)
|
|
|
1755 |
if (stat.ne.0) print*,'dev_i: error allocating dudx'
|
|
|
1756 |
allocate(dvdy(ie,je),STAT=stat)
|
|
|
1757 |
if (stat.ne.0) print*,'dev_i: error allocating dvdy'
|
|
|
1758 |
|
|
|
1759 |
|
|
|
1760 |
do k=1,ke
|
|
|
1761 |
call ddh2m(uu(1,1,k),dudx,cl,'X',ie,je,1,vmin,vmax,mdv)
|
|
|
1762 |
|
|
|
1763 |
c conversion of uu/vv for spheric coordinates (??*cos(phi))
|
|
|
1764 |
do j=1,je
|
|
|
1765 |
do i=1,ie
|
|
|
1766 |
if (vv(i,j,k).ne.mdv) then
|
|
|
1767 |
vv2(i,j)=vv(i,j,k)*cl(i,j)
|
|
|
1768 |
else
|
|
|
1769 |
vv2(i,j)=mdv
|
|
|
1770 |
endif
|
|
|
1771 |
enddo
|
|
|
1772 |
enddo
|
|
|
1773 |
|
|
|
1774 |
call ddh2m(vv2,dvdy,cl,'Y',ie,je,1,vmin,vmax,mdv)
|
|
|
1775 |
|
|
|
1776 |
c final calculation
|
|
|
1777 |
do j=1,je
|
|
|
1778 |
do i=1,ie
|
|
|
1779 |
if ((dudx(i,j).ne.mdv).and.
|
|
|
1780 |
> (dvdy(i,j).ne.mdv)) then
|
|
|
1781 |
var(i,j,k)=1.e6*(dudx(i,j)-dvdy(i,j)/cl(i,j))
|
|
|
1782 |
else
|
|
|
1783 |
var(i,j,k)=mdv
|
|
|
1784 |
endif
|
|
|
1785 |
enddo
|
|
|
1786 |
enddo
|
|
|
1787 |
enddo
|
|
|
1788 |
|
|
|
1789 |
c interpolate poles from neighbouring points on every level
|
|
|
1790 |
if (vmax(2).eq.90.) then
|
|
|
1791 |
do k=1,ke
|
|
|
1792 |
pole=0.
|
|
|
1793 |
do i=1,ie
|
|
|
1794 |
pole=pole+var(i,je-1,k)
|
|
|
1795 |
enddo
|
|
|
1796 |
pole=pole/real(ie)
|
|
|
1797 |
do i=1,ie
|
|
|
1798 |
var(i,je,k)=pole
|
|
|
1799 |
enddo
|
|
|
1800 |
enddo
|
|
|
1801 |
endif
|
|
|
1802 |
|
|
|
1803 |
if (vmin(2).eq.-90.) then
|
|
|
1804 |
do k=1,ke
|
|
|
1805 |
pole=0.
|
|
|
1806 |
do i=1,ie
|
|
|
1807 |
pole=pole+var(i,2,k)
|
|
|
1808 |
enddo
|
|
|
1809 |
pole=pole/real(ie)
|
|
|
1810 |
do i=1,ie
|
|
|
1811 |
var(i,1,k)=pole
|
|
|
1812 |
enddo
|
|
|
1813 |
enddo
|
|
|
1814 |
endif
|
|
|
1815 |
|
|
|
1816 |
IF (ALLOCATED(vv2)) DEALLOCATE(vv2)
|
|
|
1817 |
IF (ALLOCATED(dudx)) DEALLOCATE(dudx)
|
|
|
1818 |
IF (ALLOCATED(dvdy)) DEALLOCATE(dvdy)
|
|
|
1819 |
|
|
|
1820 |
end
|
|
|
1821 |
|
|
|
1822 |
|
|
|
1823 |
|
|
|
1824 |
|
|
|
1825 |
subroutine defs_i(var,uu,vv,cl,ie,je,ke,vmin,vmax,mdv)
|
|
|
1826 |
C =====================================================
|
|
|
1827 |
C calculate shear deformation (shear strain)
|
|
|
1828 |
C DEFS= 1e6*( D[V:X]+D[U*cos(phi):Y]/cos(phi))
|
|
|
1829 |
C with misdat (mdv) treatment
|
|
|
1830 |
C 990727 mark liniger
|
|
|
1831 |
|
|
|
1832 |
c argument declaration
|
|
|
1833 |
integer ie,je,ke
|
|
|
1834 |
real,intent(OUT) :: var(ie,je,ke)
|
|
|
1835 |
real,intent(IN) :: uu(ie,je,ke),vv(ie,je,ke),cl(ie,je)
|
|
|
1836 |
real vmin(4),vmax(4),mdv
|
|
|
1837 |
|
|
|
1838 |
c variable declaration
|
|
|
1839 |
REAL,ALLOCATABLE, DIMENSION (:,:) :: uu2,dvdx,dudy
|
|
|
1840 |
integer stat
|
|
|
1841 |
real pole
|
|
|
1842 |
|
|
|
1843 |
allocate(uu2(ie,je),STAT=stat)
|
|
|
1844 |
if (stat.ne.0) print*,'dev_i: error allocating uu2'
|
|
|
1845 |
allocate(dvdx(ie,je),STAT=stat)
|
|
|
1846 |
if (stat.ne.0) print*,'dev_i: error allocating dvdx'
|
|
|
1847 |
allocate(dudy(ie,je),STAT=stat)
|
|
|
1848 |
if (stat.ne.0) print*,'dev_i: error allocating dudy'
|
|
|
1849 |
|
|
|
1850 |
|
|
|
1851 |
do k=1,ke
|
|
|
1852 |
call ddh2m(vv(1,1,k),dvdx,cl,'X',ie,je,1,vmin,vmax,mdv)
|
|
|
1853 |
|
|
|
1854 |
c conversion of uu/vv for spheric coordinates (??*cos(phi))
|
|
|
1855 |
do j=1,je
|
|
|
1856 |
do i=1,ie
|
|
|
1857 |
if (uu(i,j,k).ne.mdv) then
|
|
|
1858 |
uu2(i,j)=uu(i,j,k)*cl(i,j)
|
|
|
1859 |
else
|
|
|
1860 |
uu2(i,j)=mdv
|
|
|
1861 |
endif
|
|
|
1862 |
enddo
|
|
|
1863 |
enddo
|
|
|
1864 |
|
|
|
1865 |
call ddh2m(uu2,dudy,cl,'Y',ie,je,1,vmin,vmax,mdv)
|
|
|
1866 |
|
|
|
1867 |
c conversion of d?dy for spheric coordinates (d?dy/cos(phi))
|
|
|
1868 |
do j=1,je
|
|
|
1869 |
do i=1,ie
|
|
|
1870 |
if ((dudy(i,j).ne.mdv).and.
|
|
|
1871 |
> (dvdx(i,j).ne.mdv)) then
|
|
|
1872 |
var(i,j,k)=1.e6*(dvdx(i,j)+dudy(i,j)/cl(i,j))
|
|
|
1873 |
else
|
|
|
1874 |
var(i,j,k)=mdv
|
|
|
1875 |
endif
|
|
|
1876 |
enddo
|
|
|
1877 |
enddo
|
|
|
1878 |
enddo
|
|
|
1879 |
|
|
|
1880 |
c interpolate poles from neighbouring points on every level
|
|
|
1881 |
if (vmax(2).eq.90.) then
|
|
|
1882 |
do k=1,ke
|
|
|
1883 |
pole=0.
|
|
|
1884 |
do i=1,ie
|
|
|
1885 |
pole=pole+var(i,je-1,k)
|
|
|
1886 |
enddo
|
|
|
1887 |
pole=pole/real(ie)
|
|
|
1888 |
do i=1,ie
|
|
|
1889 |
var(i,je,k)=pole
|
|
|
1890 |
enddo
|
|
|
1891 |
enddo
|
|
|
1892 |
endif
|
|
|
1893 |
|
|
|
1894 |
if (vmin(2).eq.-90.) then
|
|
|
1895 |
do k=1,ke
|
|
|
1896 |
pole=0.
|
|
|
1897 |
do i=1,ie
|
|
|
1898 |
pole=pole+var(i,2,k)
|
|
|
1899 |
enddo
|
|
|
1900 |
pole=pole/real(ie)
|
|
|
1901 |
do i=1,ie
|
|
|
1902 |
var(i,1,k)=pole
|
|
|
1903 |
enddo
|
|
|
1904 |
enddo
|
|
|
1905 |
endif
|
|
|
1906 |
|
|
|
1907 |
IF (ALLOCATED(uu2)) DEALLOCATE(uu2)
|
|
|
1908 |
IF (ALLOCATED(dudy)) DEALLOCATE(dudy)
|
|
|
1909 |
IF (ALLOCATED(dvdx)) DEALLOCATE(dvdx)
|
|
|
1910 |
|
|
|
1911 |
end
|
|
|
1912 |
|
|
|
1913 |
|
|
|
1914 |
|
|
|
1915 |
|
|
|
1916 |
|
|
|
1917 |
subroutine okuboweiss_i(var,uu,vv,cl,ie,je,ke,vmin,vmax,mdv)
|
|
|
1918 |
C =====================================================
|
|
|
1919 |
C calculate okubo-weiss parameter= DEF*DEF-VORT*VORT
|
|
|
1920 |
C with misdat (mdv) treatment
|
|
|
1921 |
C 990720 mark liniger
|
|
|
1922 |
|
|
|
1923 |
c argument declaration
|
|
|
1924 |
integer ie,je,ke
|
|
|
1925 |
real,intent(OUT) :: var(ie,je,ke)
|
|
|
1926 |
real,intent(IN) :: uu(ie,je,ke),vv(ie,je,ke),cl(ie,je)
|
|
|
1927 |
real vmin(4),vmax(4),mdv
|
|
|
1928 |
|
|
|
1929 |
c variable declaration
|
|
|
1930 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: def,vort
|
|
|
1931 |
integer stat
|
|
|
1932 |
real pole
|
|
|
1933 |
|
|
|
1934 |
allocate(def(ie,je,ke),STAT=stat)
|
|
|
1935 |
if (stat.ne.0) print*,'okuboweiss_i: error allocating def'
|
|
|
1936 |
allocate(vort(ie,je,ke),STAT=stat)
|
|
|
1937 |
if (stat.ne.0) print*,'okuboweiss_i: error allocating vort'
|
|
|
1938 |
|
|
|
1939 |
call def_i(def,uu,vv,cl,ie,je,ke,vmin,vmax,mdv)
|
|
|
1940 |
call vort_i(vort,uu,vv,cl,ie,je,ke,vmin,vmax,mdv)
|
|
|
1941 |
|
|
|
1942 |
do k=1,ke
|
|
|
1943 |
do j=1,je
|
|
|
1944 |
do i=1,ie
|
|
|
1945 |
if ((def(i,j,k).ne.mdv).and.
|
|
|
1946 |
> (vort(i,j,k).ne.mdv)) then
|
|
|
1947 |
var(i,j,k)=def(i,j,k)*def(i,j,k)
|
|
|
1948 |
> -vort(i,j,k)*vort(i,j,k)*1e4
|
|
|
1949 |
else
|
|
|
1950 |
var(i,j,k)=mdv
|
|
|
1951 |
endif
|
|
|
1952 |
enddo
|
|
|
1953 |
enddo
|
|
|
1954 |
enddo
|
|
|
1955 |
|
|
|
1956 |
IF (ALLOCATED(def)) DEALLOCATE(def)
|
|
|
1957 |
IF (ALLOCATED(vort)) DEALLOCATE(vort)
|
|
|
1958 |
|
|
|
1959 |
end
|
|
|
1960 |
|
|
|
1961 |
subroutine rich(ri,sp,uu,vv,th,ie,je,ke,ak,bk)
|
|
|
1962 |
C ==============================================
|
|
|
1963 |
C calculate Richardson number
|
|
|
1964 |
|
|
|
1965 |
real R,p0,kappa
|
|
|
1966 |
data R,p0,kappa /287.,100000.,0.286/
|
|
|
1967 |
|
|
|
1968 |
c argument declaration
|
|
|
1969 |
integer ie,je,ke
|
|
|
1970 |
real ri(ie,je,ke),uu(ie,je,ke),vv(ie,je,ke),
|
|
|
1971 |
> th(ie,je,ke),sp(ie,je)
|
|
|
1972 |
real ak(ke),bk(ke)
|
|
|
1973 |
|
|
|
1974 |
c variable declaration
|
|
|
1975 |
REAL,ALLOCATABLE, DIMENSION (:,:,:) :: dthdp,dudp,dvdp
|
|
|
1976 |
integer i,j,k,stat
|
|
|
1977 |
|
|
|
1978 |
allocate(dthdp(ie,je,ke),STAT=stat)
|
|
|
1979 |
if (stat.ne.0) print*,'potvort: error allocating dthdp'
|
|
|
1980 |
* allocate(vel(ie,je,ke),STAT=stat)
|
|
|
1981 |
* if (stat.ne.0) print*,'potvort: error allocating vel'
|
|
|
1982 |
allocate(dudp(ie,je,ke),STAT=stat)
|
|
|
1983 |
if (stat.ne.0) print*,'potvort: error allocating dudp'
|
|
|
1984 |
allocate(dvdp(ie,je,ke),STAT=stat)
|
|
|
1985 |
if (stat.ne.0) print*,'potvort: error allocating dvdp'
|
|
|
1986 |
|
|
|
1987 |
|
|
|
1988 |
* vel=sqrt(uu**2+vv**2)
|
|
|
1989 |
call ddp(th,dthdp,sp,ie,je,ke,ak,bk)
|
|
|
1990 |
* call ddp(vel,dveldp,sp,ie,je,ke,ak,bk)
|
|
|
1991 |
call ddp(uu,dudp,sp,ie,je,ke,ak,bk)
|
|
|
1992 |
call ddp(vv,dvdp,sp,ie,je,ke,ak,bk)
|
|
|
1993 |
|
|
|
1994 |
do k=1,ke
|
|
|
1995 |
do j=1,je
|
|
|
1996 |
do i=1,ie
|
|
|
1997 |
pval=(ak(k)+bk(k)*sp(i,j))*100.
|
|
|
1998 |
ri(i,j,k)=-R*(p0**(-kappa))*(pval**(kappa-1.))*
|
|
|
1999 |
> dthdp(i,j,k)/(dudp(i,j,k)**2.+dvdp(i,j,k)**2.)
|
|
|
2000 |
* ri(i,j,k)=-R*(p0**(-kappa))*(pval**(kappa-1.))*
|
|
|
2001 |
* > dthdp(i,j,k)/(dveldp(i,j,k)**2.)
|
|
|
2002 |
enddo
|
|
|
2003 |
enddo
|
|
|
2004 |
enddo
|
|
|
2005 |
|
|
|
2006 |
IF (ALLOCATED(dthdp)) DEALLOCATE(dthdp)
|
|
|
2007 |
IF (ALLOCATED(dudp)) DEALLOCATE(dudp)
|
|
|
2008 |
IF (ALLOCATED(dvdp)) DEALLOCATE(dvdp)
|
|
|
2009 |
|
|
|
2010 |
end
|
|
|
2011 |
|
|
|
2012 |
subroutine ddp(a,d,sp,ie,je,ke,ak,bk)
|
|
|
2013 |
c-----------------------------------------------------------------------
|
|
|
2014 |
c Purpose: VERTICAL DERIVATIVE
|
|
|
2015 |
c Compute the vertical derivative without missing data checking.
|
|
|
2016 |
c The derivative is taken from array 'a' in the direction of 'P'.
|
|
|
2017 |
c The result is stored in array 'd'.
|
|
|
2018 |
c 3 point weighted centered differencing is used.
|
|
|
2019 |
c The vertical level-structure of the data is of the form
|
|
|
2020 |
c p=ak(k)+bk(k)*ps.
|
|
|
2021 |
c-----------------------------------------------------------------------
|
|
|
2022 |
|
|
|
2023 |
c declaration of arguments
|
|
|
2024 |
integer ie,je,ke
|
|
|
2025 |
real a(ie,je,ke),d(ie,je,ke),sp(ie,je)
|
|
|
2026 |
|
|
|
2027 |
c variable declaration
|
|
|
2028 |
integer i,j,k
|
|
|
2029 |
real dpu,dpl,quot,fac,psrf
|
|
|
2030 |
real ak(ke),bk(ke)
|
|
|
2031 |
|
|
|
2032 |
c specify scaling factor associated with derivation with respect
|
|
|
2033 |
c to pressure
|
|
|
2034 |
fac=0.01
|
|
|
2035 |
|
|
|
2036 |
c compute vertical 3 point derivative
|
|
|
2037 |
c ---------------------------
|
|
|
2038 |
c 3-point vertical derivative
|
|
|
2039 |
c ---------------------------
|
|
|
2040 |
do j=1,je
|
|
|
2041 |
do i=1,ie
|
|
|
2042 |
c get surface pressure at current grid-point
|
|
|
2043 |
psrf=sp(i,j)
|
|
|
2044 |
c points at k=1
|
|
|
2045 |
dpu=(ak(1)+bk(1)*psrf)-(ak(2)+bk(2)*psrf)
|
|
|
2046 |
d(i,j,1)=(a(i,j,1)-a(i,j,2))*fac/dpu
|
|
|
2047 |
c points at 1<k<ke
|
|
|
2048 |
do k=2,ke-1
|
|
|
2049 |
dpu=(ak(k)+bk(k)*psrf)-(ak(k+1)+bk(k+1)*psrf)
|
|
|
2050 |
dpl=(ak(k-1)+bk(k-1)*psrf)-(ak(k)+bk(k)*psrf)
|
|
|
2051 |
quot=dpu/dpl
|
|
|
2052 |
d(i,j,k)=(quot*(a(i,j,k-1)-a(i,j,k))
|
|
|
2053 |
& +1./quot*(a(i,j,k)-a(i,j,k+1)))*fac/(dpu+dpl)
|
|
|
2054 |
enddo
|
|
|
2055 |
c points at k=ke
|
|
|
2056 |
dpl=(ak(ke-1)+bk(ke-1)*psrf)-(ak(ke)+bk(ke)*psrf)
|
|
|
2057 |
d(i,j,ke)=(a(i,j,ke-1)-a(i,j,ke))*fac/dpl
|
|
|
2058 |
enddo
|
|
|
2059 |
enddo
|
|
|
2060 |
end
|
|
|
2061 |
|
|
|
2062 |
|
|
|
2063 |
subroutine ddh3(a,d,ps,dps,cl,dir,ie,je,ke,datmin,datmax,ak,bk)
|
|
|
2064 |
c-----------------------------------------------------------------------
|
|
|
2065 |
c Purpose: HORIZONTAL DERIVATIVE ON PRESSURE-SURFACES WITHOUT
|
|
|
2066 |
c MISSING DATA
|
|
|
2067 |
c The derivative is taken from array 'a' in the direction of 'dir',
|
|
|
2068 |
c where 'dir' is either 'X','Y'. The result is stored in array 'd'.
|
|
|
2069 |
c The routine accounts for derivatives at the pole and periodic
|
|
|
2070 |
c boundaries in the longitudinal direction (depending on
|
|
|
2071 |
c the value of datmin, datmax). If the data-set does not reach to
|
|
|
2072 |
c the pole, a one-sided derivative is taken. Pole-treatment is only
|
|
|
2073 |
c carried out if the data-set covers 360 deg in longitude, and it
|
|
|
2074 |
c requires that ie=4*ii+1, where ii is an integer.
|
|
|
2075 |
c History:
|
|
|
2076 |
c Daniel Luethi
|
|
|
2077 |
c-----------------------------------------------------------------------
|
|
|
2078 |
|
|
|
2079 |
c declaration of arguments
|
|
|
2080 |
integer ie,je,ke
|
|
|
2081 |
real a(ie,je,ke),d(ie,je,ke),cl(ie,je)
|
|
|
2082 |
real ps(ie,je),dps(ie,je)
|
|
|
2083 |
real datmin(4),datmax(4)
|
|
|
2084 |
character*(*) dir
|
|
|
2085 |
|
|
|
2086 |
c variable declaration
|
|
|
2087 |
integer i,j,k
|
|
|
2088 |
real ak(ke),bk(ke),as(500),bs(500)
|
|
|
2089 |
|
|
|
2090 |
c compute vertical derivatives of ak's and bk's
|
|
|
2091 |
do k=2,ke-1
|
|
|
2092 |
as(k)=(ak(k-1)-ak(k+1))/2.
|
|
|
2093 |
bs(k)=(bk(k-1)-bk(k+1))/2.
|
|
|
2094 |
enddo
|
|
|
2095 |
as(1 )=ak(1)-ak(2)
|
|
|
2096 |
bs(1 )=bk(1)-bk(2)
|
|
|
2097 |
as(ke)=ak(ke-1)-ak(ke)
|
|
|
2098 |
bs(ke)=bk(ke-1)-bk(ke)
|
|
|
2099 |
|
|
|
2100 |
c compute horizontal derivatives on sigma surfaces
|
|
|
2101 |
call ddh2(a,d,cl,dir,ie,je,ke,datmin,datmax)
|
|
|
2102 |
|
|
|
2103 |
c apply correction for horizontal derivative on p-surfaces
|
|
|
2104 |
do j=1,je
|
|
|
2105 |
do i=1,ie
|
|
|
2106 |
do k=2,ke-1
|
|
|
2107 |
d(i,j,k)=d(i,j,k)+bk(k)*dps(i,j)/2./(as(k)+
|
|
|
2108 |
& bs(k)*ps(i,j))*(a(i,j,k+1)-a(i,j,k-1))
|
|
|
2109 |
enddo
|
|
|
2110 |
k=1
|
|
|
2111 |
d(i,j,k)=d(i,j,k)+bk(k)*dps(i,j)/(as(k)+
|
|
|
2112 |
& bs(k)*ps(i,j))*(a(i,j,k+1)-a(i,j,k))
|
|
|
2113 |
k=ke
|
|
|
2114 |
d(i,j,k)=d(i,j,k)+bk(k)*dps(i,j)/(as(k)+
|
|
|
2115 |
& bs(k)*ps(i,j))*(a(i,j,k)-a(i,j,k-1))
|
|
|
2116 |
enddo
|
|
|
2117 |
enddo
|
|
|
2118 |
end
|
|
|
2119 |
|
|
|
2120 |
|
|
|
2121 |
subroutine ddh2(a,d,cl,dir,ie,je,ke,datmin,datmax)
|
|
|
2122 |
c-----------------------------------------------------------------------
|
|
|
2123 |
c Purpose: HORIZONTAL DERIVATIVE ON DATA-SURFACES WITHOUT MISSING
|
|
|
2124 |
C DATA
|
|
|
2125 |
c Compute the horizontal derivative without missing data checking.
|
|
|
2126 |
c The derivative is taken from array 'a' in the direction of 'dir',
|
|
|
2127 |
c where 'dir' is either 'X','Y'. The result is stored in array 'd'.
|
|
|
2128 |
c The routine accounts for derivatives at the pole and periodic
|
|
|
2129 |
c boundaries in the longitudinal direction (depending on
|
|
|
2130 |
c the value of datmin, datmax). If the data-set does not reach to
|
|
|
2131 |
c the pole, a one-sided derivative is taken. Pole-treatment is only
|
|
|
2132 |
c carried out if the data-set covers 360 deg in longitude, and it
|
|
|
2133 |
c requires that ie=4*ii+1, where ii is an integer.
|
|
|
2134 |
c-----------------------------------------------------------------------
|
|
|
2135 |
|
|
|
2136 |
c declaration of arguments
|
|
|
2137 |
integer ie,je,ke
|
|
|
2138 |
real a(ie,je,ke),d(ie,je,ke),cl(ie,je)
|
|
|
2139 |
real datmin(4),datmax(4)
|
|
|
2140 |
character*(*) dir
|
|
|
2141 |
|
|
|
2142 |
c local variable declaration
|
|
|
2143 |
integer i,j,k,ip1,im1,jp1,jm1,ip,im,j1,j2
|
|
|
2144 |
real dlat,dlon,coslat,dx,dy,dxr,dyr
|
|
|
2145 |
integer northpl,southpl,lonper
|
|
|
2146 |
|
|
|
2147 |
c rerd and circ are the mean radius and diameter of the earth in
|
|
|
2148 |
c meter
|
|
|
2149 |
real rerd,circ,pi
|
|
|
2150 |
data rerd,circ,pi /6.37e6,4.e7,3.141592654/
|
|
|
2151 |
|
|
|
2152 |
c compute flags for pole and periodic treatment
|
|
|
2153 |
southpl=0
|
|
|
2154 |
northpl=0
|
|
|
2155 |
lonper =0
|
|
|
2156 |
j1=1
|
|
|
2157 |
j2=je
|
|
|
2158 |
if (abs(datmax(1)-datmin(1)-360.).lt.1.e-3) then
|
|
|
2159 |
lonper=1
|
|
|
2160 |
if (abs(datmin(2)+90.).lt.1.e-3) then
|
|
|
2161 |
southpl=1
|
|
|
2162 |
j1=2
|
|
|
2163 |
endif
|
|
|
2164 |
if (abs(datmax(2)-90.).lt.1.e-3) then
|
|
|
2165 |
northpl=1
|
|
|
2166 |
j2=je-1
|
|
|
2167 |
endif
|
|
|
2168 |
endif
|
|
|
2169 |
|
|
|
2170 |
dlon=((datmax(1)-datmin(1))/float(ie-1)) *pi/180.
|
|
|
2171 |
dlat=((datmax(2)-datmin(2))/float(je-1)) *pi/180.
|
|
|
2172 |
|
|
|
2173 |
c print *,'Computing derivative ',dir(1:1),
|
|
|
2174 |
c & ' of an array dimensioned ',ie,je,ke
|
|
|
2175 |
|
|
|
2176 |
if (dir(1:1).eq.'X') then
|
|
|
2177 |
c -----------------------------
|
|
|
2178 |
c derivation in the x-direction
|
|
|
2179 |
c -----------------------------
|
|
|
2180 |
do k=1,ke
|
|
|
2181 |
|
|
|
2182 |
c do gridpoints at j1<=j<=j2
|
|
|
2183 |
do j=j1,j2
|
|
|
2184 |
coslat=cl(1,j)
|
|
|
2185 |
|
|
|
2186 |
c do regular gridpoints at 1<i<ie, 1<j<je
|
|
|
2187 |
dx =rerd*coslat*dlon
|
|
|
2188 |
dxr=1./(2.*dx)
|
|
|
2189 |
do i=2,ie-1
|
|
|
2190 |
ip1=i+1
|
|
|
2191 |
im1=i-1
|
|
|
2192 |
d(i,j,k)=dxr*(a(ip1,j,k)-a(im1,j,k))
|
|
|
2193 |
enddo ! i-loop
|
|
|
2194 |
c completed regular gridpoints at 1<i<ie, 1<j<je
|
|
|
2195 |
|
|
|
2196 |
c do gridpoints at i=1, i=ie, 1<j<je
|
|
|
2197 |
if (lonper.eq.1) then
|
|
|
2198 |
c use periodic boundaries
|
|
|
2199 |
i=1
|
|
|
2200 |
ip1=2
|
|
|
2201 |
im1=ie-1
|
|
|
2202 |
d(i,j,k)=dxr*(a(ip1,j,k)-a(im1,j,k))
|
|
|
2203 |
d(ie,j,k)=d(1,j,k)
|
|
|
2204 |
else
|
|
|
2205 |
c use one-sided derivatives
|
|
|
2206 |
dxr=1./dx
|
|
|
2207 |
i=1
|
|
|
2208 |
ip1=2
|
|
|
2209 |
im1=1
|
|
|
2210 |
d(i,j,k)=dxr*(a(ip1,j,k)-a(im1,j,k))
|
|
|
2211 |
i=ie
|
|
|
2212 |
ip1=ie
|
|
|
2213 |
im1=ie-1
|
|
|
2214 |
d(i,j,k)=dxr*(a(ip1,j,k)-a(im1,j,k))
|
|
|
2215 |
endif
|
|
|
2216 |
c completed gridpoints at i=1, i=ie, j1<=j<=j2
|
|
|
2217 |
|
|
|
2218 |
enddo ! j-loop
|
|
|
2219 |
c completed gridpoints at 1<j<je
|
|
|
2220 |
|
|
|
2221 |
c do gridpoints at j=je
|
|
|
2222 |
if (northpl.eq.1) then
|
|
|
2223 |
c for these gridpoints, the derivative in the x-direction is a
|
|
|
2224 |
c derivative in the y-direction at another pole-gridpoint
|
|
|
2225 |
dy =rerd*dlat
|
|
|
2226 |
dyr=1./(2.*dy)
|
|
|
2227 |
j=je
|
|
|
2228 |
jp1=je-1
|
|
|
2229 |
jm1=je-1
|
|
|
2230 |
do i=1,ie
|
|
|
2231 |
ip=mod(i-1+ (ie-1)/4,ie)+1
|
|
|
2232 |
im=mod(i-1+3*(ie-1)/4,ie)+1
|
|
|
2233 |
d(i,j,k)=dyr*(a(ip,jp1,k)-a(im,jm1,k))
|
|
|
2234 |
enddo ! i-loop
|
|
|
2235 |
c completed gridpoints at j=je
|
|
|
2236 |
endif
|
|
|
2237 |
c do gridpoints at j=1
|
|
|
2238 |
if (southpl.eq.1) then
|
|
|
2239 |
dy =rerd*dlat
|
|
|
2240 |
dyr=1./(2.*dy)
|
|
|
2241 |
j=1
|
|
|
2242 |
jp1=2
|
|
|
2243 |
jm1=2
|
|
|
2244 |
do i=1,ie
|
|
|
2245 |
ip=mod(i-1+ (ie-1)/4,ie)+1
|
|
|
2246 |
im=mod(i-1+3*(ie-1)/4,ie)+1
|
|
|
2247 |
d(i,j,k)=dyr*(a(ip,jp1,k)-a(im,jm1,k))
|
|
|
2248 |
enddo ! i-loop
|
|
|
2249 |
endif
|
|
|
2250 |
c completed gridpoints at j=1
|
|
|
2251 |
|
|
|
2252 |
enddo ! k-loop
|
|
|
2253 |
|
|
|
2254 |
else if (dir(1:1).eq.'Y') then
|
|
|
2255 |
c -----------------------------
|
|
|
2256 |
c derivation in the y-direction
|
|
|
2257 |
c -----------------------------
|
|
|
2258 |
dy =dlat*rerd
|
|
|
2259 |
dyr=1./(2.*dy)
|
|
|
2260 |
do k=1,ke
|
|
|
2261 |
do i=1,ie
|
|
|
2262 |
|
|
|
2263 |
c do regular gridpoints
|
|
|
2264 |
do j=2,je-1
|
|
|
2265 |
jp1=j+1
|
|
|
2266 |
jm1=j-1
|
|
|
2267 |
d(i,j,k)=dyr*(a(i,jp1,k)-a(i,jm1,k))
|
|
|
2268 |
enddo
|
|
|
2269 |
|
|
|
2270 |
c do gridpoints at j=je
|
|
|
2271 |
if (northpl.eq.1) then
|
|
|
2272 |
c pole-treatment
|
|
|
2273 |
j=je
|
|
|
2274 |
jm1=j-1
|
|
|
2275 |
jp1=j-1
|
|
|
2276 |
ip=mod(i-1+(ie-1)/2,ie)+1
|
|
|
2277 |
im=i
|
|
|
2278 |
d(i,j,k)=dyr*(a(ip,jp1,k)-a(im,jm1,k))
|
|
|
2279 |
else
|
|
|
2280 |
c one-sided derivative
|
|
|
2281 |
j=je
|
|
|
2282 |
jm1=j-1
|
|
|
2283 |
jp1=j
|
|
|
2284 |
d(i,j,k)=2.*dyr*(a(i,jp1,k)-a(i,jm1,k))
|
|
|
2285 |
endif
|
|
|
2286 |
c completed gridpoints at j=je
|
|
|
2287 |
|
|
|
2288 |
c do gridpoints at j=1
|
|
|
2289 |
if (southpl.eq.1) then
|
|
|
2290 |
c pole-treatment
|
|
|
2291 |
j=1
|
|
|
2292 |
jm1=2
|
|
|
2293 |
jp1=2
|
|
|
2294 |
ip=i
|
|
|
2295 |
im=mod(i-1+(ie-1)/2,ie)+1
|
|
|
2296 |
d(i,j,k)=dyr*(a(ip,jp1,k)-a(im,jm1,k))
|
|
|
2297 |
else
|
|
|
2298 |
c one-sided derivative
|
|
|
2299 |
j=1
|
|
|
2300 |
jm1=1
|
|
|
2301 |
jp1=2
|
|
|
2302 |
d(i,j,k)=2.*dyr*(a(i,jp1,k)-a(i,jm1,k))
|
|
|
2303 |
endif
|
|
|
2304 |
c completed gridpoints at j=1
|
|
|
2305 |
|
|
|
2306 |
enddo
|
|
|
2307 |
enddo
|
|
|
2308 |
|
|
|
2309 |
endif
|
|
|
2310 |
end
|
|
|
2311 |
|
|
|
2312 |
subroutine ddh2m(a,d,cl,dir,ie,je,ke,datmin,datmax,mdv)
|
|
|
2313 |
c-----------------------------------------------------------------------
|
|
|
2314 |
c Purpose: HORIZONTAL DERIVATIVE ON DATA-SURFACES WITH MISSING
|
|
|
2315 |
C DATA
|
|
|
2316 |
c Compute the horizontal derivative with missing data checking.
|
|
|
2317 |
c The derivative is taken from array 'a' in the direction of 'dir',
|
|
|
2318 |
c where 'dir' is either 'X','Y'. The result is stored in array 'd'.
|
|
|
2319 |
c The routine accounts for derivatives at the pole and periodic
|
|
|
2320 |
c boundaries in the longitudinal direction (depending on
|
|
|
2321 |
c the value of datmin, datmax). If the data-set does not reach to
|
|
|
2322 |
c the pole, a one-sided derivative is taken. Pole-treatment is only
|
|
|
2323 |
c carried out if the data-set covers 360 deg in longitude, and it
|
|
|
2324 |
c requires that ie=4*ii+1, where ii is an integer.
|
|
|
2325 |
c mdv is the misdat parameter (real)
|
|
|
2326 |
c-----------------------------------------------------------------------
|
|
|
2327 |
|
|
|
2328 |
c declaration of arguments
|
|
|
2329 |
integer ie,je,ke
|
|
|
2330 |
real a(ie,je,ke),d(ie,je,ke),cl(ie,je)
|
|
|
2331 |
real datmin(4),datmax(4),mdv
|
|
|
2332 |
character*(*) dir
|
|
|
2333 |
|
|
|
2334 |
c local variable declaration
|
|
|
2335 |
integer i,j,k,ip1,im1,jp1,jm1,ip,im,j1,j2
|
|
|
2336 |
real dlat,dlon,coslat,dx,dy,dxr,dyr
|
|
|
2337 |
integer northpl,southpl,lonper
|
|
|
2338 |
|
|
|
2339 |
c rerd and circ are the mean radius and diameter of the earth in
|
|
|
2340 |
c meter
|
|
|
2341 |
real rerd,circ,pi
|
|
|
2342 |
data rerd,circ,pi /6.37e6,4.e7,3.141592654/
|
|
|
2343 |
|
|
|
2344 |
c compute flags for pole and periodic treatment
|
|
|
2345 |
southpl=0
|
|
|
2346 |
northpl=0
|
|
|
2347 |
lonper =0
|
|
|
2348 |
j1=1
|
|
|
2349 |
j2=je
|
|
|
2350 |
if (abs(datmax(1)-datmin(1)-360.).lt.1.e-3) then
|
|
|
2351 |
lonper=1
|
|
|
2352 |
if (abs(datmin(2)+90.).lt.1.e-3) then
|
|
|
2353 |
southpl=1
|
|
|
2354 |
j1=2
|
|
|
2355 |
endif
|
|
|
2356 |
if (abs(datmax(2)-90.).lt.1.e-3) then
|
|
|
2357 |
northpl=1
|
|
|
2358 |
j2=je-1
|
|
|
2359 |
endif
|
|
|
2360 |
endif
|
|
|
2361 |
|
|
|
2362 |
dlon=((datmax(1)-datmin(1))/float(ie-1)) *pi/180.
|
|
|
2363 |
dlat=((datmax(2)-datmin(2))/float(je-1)) *pi/180.
|
|
|
2364 |
|
|
|
2365 |
c print *,'Computing derivative ',dir(1:1),
|
|
|
2366 |
c & ' of an array dimensioned ',ie,je,ke
|
|
|
2367 |
|
|
|
2368 |
if (dir(1:1).eq.'X') then
|
|
|
2369 |
c -----------------------------
|
|
|
2370 |
c derivation in the x-direction
|
|
|
2371 |
c -----------------------------
|
|
|
2372 |
do k=1,ke
|
|
|
2373 |
|
|
|
2374 |
c do gridpoints at j1<=j<=j2
|
|
|
2375 |
do j=j1,j2
|
|
|
2376 |
coslat=cl(1,j)
|
|
|
2377 |
|
|
|
2378 |
c do regular gridpoints at 1<i<ie, 1<j<je
|
|
|
2379 |
dx =rerd*coslat*dlon
|
|
|
2380 |
dxr=1./(2.*dx)
|
|
|
2381 |
do i=2,ie-1
|
|
|
2382 |
ip1=i+1
|
|
|
2383 |
im1=i-1
|
|
|
2384 |
if ((a(ip1,j,k).ne.mdv).and.(a(im1,j,k).ne.mdv)) then
|
|
|
2385 |
d(i,j,k)=dxr*(a(ip1,j,k)-a(im1,j,k))
|
|
|
2386 |
else
|
|
|
2387 |
d(i,j,k)=mdv
|
|
|
2388 |
endif
|
|
|
2389 |
enddo ! i-loop
|
|
|
2390 |
c completed regular gridpoints at 1<i<ie, 1<j<je
|
|
|
2391 |
|
|
|
2392 |
c do gridpoints at i=1, i=ie, 1<j<je
|
|
|
2393 |
if (lonper.eq.1) then
|
|
|
2394 |
c use periodic boundaries
|
|
|
2395 |
i=1
|
|
|
2396 |
ip1=2
|
|
|
2397 |
im1=ie-1
|
|
|
2398 |
if ((a(ip1,j,k).ne.mdv).and.(a(im1,j,k).ne.mdv)) then
|
|
|
2399 |
d(i,j,k)=dxr*(a(ip1,j,k)-a(im1,j,k))
|
|
|
2400 |
else
|
|
|
2401 |
d(i,j,k)=mdv
|
|
|
2402 |
endif
|
|
|
2403 |
d(ie,j,k)=d(1,j,k)
|
|
|
2404 |
else
|
|
|
2405 |
c use one-sided derivatives
|
|
|
2406 |
dxr=1./dx
|
|
|
2407 |
i=1
|
|
|
2408 |
ip1=2
|
|
|
2409 |
im1=1
|
|
|
2410 |
if ((a(ip1,j,k).ne.mdv).and.(a(im1,j,k).ne.mdv)) then
|
|
|
2411 |
d(i,j,k)=dxr*(a(ip1,j,k)-a(im1,j,k))
|
|
|
2412 |
else
|
|
|
2413 |
d(i,j,k)=mdv
|
|
|
2414 |
endif
|
|
|
2415 |
i=ie
|
|
|
2416 |
ip1=ie
|
|
|
2417 |
im1=ie-1
|
|
|
2418 |
if ((a(ip1,j,k).ne.mdv).and.(a(im1,j,k).ne.mdv)) then
|
|
|
2419 |
d(i,j,k)=dxr*(a(ip1,j,k)-a(im1,j,k))
|
|
|
2420 |
else
|
|
|
2421 |
d(i,j,k)=mdv
|
|
|
2422 |
endif
|
|
|
2423 |
endif
|
|
|
2424 |
c completed gridpoints at i=1, i=ie, j1<=j<=j2
|
|
|
2425 |
|
|
|
2426 |
enddo ! j-loop
|
|
|
2427 |
c completed gridpoints at 1<j<je
|
|
|
2428 |
|
|
|
2429 |
c do gridpoints at j=je
|
|
|
2430 |
if (northpl.eq.1) then
|
|
|
2431 |
c for these gridpoints, the derivative in the x-direction is a
|
|
|
2432 |
c derivative in the y-direction at another pole-gridpoint
|
|
|
2433 |
dy =rerd*dlat
|
|
|
2434 |
dyr=1./(2.*dy)
|
|
|
2435 |
j=je
|
|
|
2436 |
jp1=je-1
|
|
|
2437 |
jm1=je-1
|
|
|
2438 |
do i=1,ie
|
|
|
2439 |
ip=mod(i-1+ (ie-1)/4,ie)+1
|
|
|
2440 |
im=mod(i-1+3*(ie-1)/4,ie)+1
|
|
|
2441 |
if ((a(ip,jp1,k).ne.mdv).and.(a(im,jm1,k).ne.mdv))
|
|
|
2442 |
> then
|
|
|
2443 |
d(i,j,k)=dyr*(a(ip,jp1,k)-a(im,jm1,k))
|
|
|
2444 |
else
|
|
|
2445 |
d(i,j,k)=mdv
|
|
|
2446 |
endif
|
|
|
2447 |
enddo ! i-loop
|
|
|
2448 |
c completed gridpoints at j=je
|
|
|
2449 |
endif
|
|
|
2450 |
c do gridpoints at j=1
|
|
|
2451 |
if (southpl.eq.1) then
|
|
|
2452 |
dy =rerd*dlat
|
|
|
2453 |
dyr=1./(2.*dy)
|
|
|
2454 |
j=1
|
|
|
2455 |
jp1=2
|
|
|
2456 |
jm1=2
|
|
|
2457 |
do i=1,ie
|
|
|
2458 |
ip=mod(i-1+ (ie-1)/4,ie)+1
|
|
|
2459 |
im=mod(i-1+3*(ie-1)/4,ie)+1
|
|
|
2460 |
if ((a(ip,jp1,k).ne.mdv).and.(a(im,jm1,k).ne.mdv))
|
|
|
2461 |
> then
|
|
|
2462 |
d(i,j,k)=dyr*(a(ip,jp1,k)-a(im,jm1,k))
|
|
|
2463 |
else
|
|
|
2464 |
d(i,j,k)=mdv
|
|
|
2465 |
endif
|
|
|
2466 |
enddo ! i-loop
|
|
|
2467 |
endif
|
|
|
2468 |
c completed gridpoints at j=1
|
|
|
2469 |
|
|
|
2470 |
enddo ! k-loop
|
|
|
2471 |
|
|
|
2472 |
else if (dir(1:1).eq.'Y') then
|
|
|
2473 |
c -----------------------------
|
|
|
2474 |
c derivation in the y-direction
|
|
|
2475 |
c -----------------------------
|
|
|
2476 |
dy =dlat*rerd
|
|
|
2477 |
dyr=1./(2.*dy)
|
|
|
2478 |
do k=1,ke
|
|
|
2479 |
do i=1,ie
|
|
|
2480 |
|
|
|
2481 |
c do regular gridpoints
|
|
|
2482 |
do j=2,je-1
|
|
|
2483 |
jp1=j+1
|
|
|
2484 |
jm1=j-1
|
|
|
2485 |
if ((a(i,jp1,k).ne.mdv).and.(a(i,jm1,k).ne.mdv))
|
|
|
2486 |
> then
|
|
|
2487 |
d(i,j,k)=dyr*(a(i,jp1,k)-a(i,jm1,k))
|
|
|
2488 |
else
|
|
|
2489 |
d(i,j,k)=mdv
|
|
|
2490 |
endif
|
|
|
2491 |
enddo
|
|
|
2492 |
|
|
|
2493 |
c do gridpoints at j=je
|
|
|
2494 |
if (northpl.eq.1) then
|
|
|
2495 |
c pole-treatment
|
|
|
2496 |
j=je
|
|
|
2497 |
jm1=j-1
|
|
|
2498 |
jp1=j-1
|
|
|
2499 |
ip=mod(i-1+(ie-1)/2,ie)+1
|
|
|
2500 |
im=i
|
|
|
2501 |
if ((a(ip,jp1,k).ne.mdv).and.(a(im,jm1,k).ne.mdv))
|
|
|
2502 |
> then
|
|
|
2503 |
d(i,j,k)=dyr*(a(ip,jp1,k)-a(im,jm1,k))
|
|
|
2504 |
else
|
|
|
2505 |
d(i,j,k)=mdv
|
|
|
2506 |
endif
|
|
|
2507 |
else
|
|
|
2508 |
c one-sided derivative
|
|
|
2509 |
j=je
|
|
|
2510 |
jm1=j-1
|
|
|
2511 |
jp1=j
|
|
|
2512 |
if ((a(i,jp1,k).ne.mdv).and.(a(i,jm1,k).ne.mdv))
|
|
|
2513 |
> then
|
|
|
2514 |
d(i,j,k)=2.*dyr*(a(i,jp1,k)-a(i,jm1,k))
|
|
|
2515 |
else
|
|
|
2516 |
d(i,j,k)=mdv
|
|
|
2517 |
endif
|
|
|
2518 |
endif
|
|
|
2519 |
c completed gridpoints at j=je
|
|
|
2520 |
|
|
|
2521 |
c do gridpoints at j=1
|
|
|
2522 |
if (southpl.eq.1) then
|
|
|
2523 |
c pole-treatment
|
|
|
2524 |
j=1
|
|
|
2525 |
jm1=2
|
|
|
2526 |
jp1=2
|
|
|
2527 |
ip=i
|
|
|
2528 |
im=mod(i-1+(ie-1)/2,ie)+1
|
|
|
2529 |
if ((a(ip,jp1,k).ne.mdv).and.(a(im,jm1,k).ne.mdv))
|
|
|
2530 |
> then
|
|
|
2531 |
d(i,j,k)=dyr*(a(ip,jp1,k)-a(im,jm1,k))
|
|
|
2532 |
else
|
|
|
2533 |
d(i,j,k)=mdv
|
|
|
2534 |
endif
|
|
|
2535 |
else
|
|
|
2536 |
c one-sided derivative
|
|
|
2537 |
j=1
|
|
|
2538 |
jm1=1
|
|
|
2539 |
jp1=2
|
|
|
2540 |
if ((a(i,jp1,k).ne.mdv).and.(a(i,jm1,k).ne.mdv))
|
|
|
2541 |
> then
|
|
|
2542 |
d(i,j,k)=2.*dyr*(a(i,jp1,k)-a(i,jm1,k))
|
|
|
2543 |
else
|
|
|
2544 |
d(i,j,k)=mdv
|
|
|
2545 |
endif
|
|
|
2546 |
endif
|
|
|
2547 |
c completed gridpoints at j=1
|
|
|
2548 |
|
|
|
2549 |
enddo
|
|
|
2550 |
enddo
|
|
|
2551 |
|
|
|
2552 |
endif
|
|
|
2553 |
end
|
|
|
2554 |
|
|
|
2555 |
real function cosd(arg)
|
|
|
2556 |
c-----------------------------------------------------------------------
|
|
|
2557 |
c compute Cos of an argument in Degree instead of Radian
|
|
|
2558 |
c-----------------------------------------------------------------------
|
|
|
2559 |
real,intent(IN) :: arg
|
|
|
2560 |
real cos
|
|
|
2561 |
real,parameter :: grad2rad=3.1415926/360.
|
|
|
2562 |
cosd=cos(arg*grad2rad)
|
|
|
2563 |
return
|
|
|
2564 |
end
|
|
|
2565 |
|
|
|
2566 |
subroutine pressure(pr,sp,stag3,ie,je,ke,aklev,bklev,aklay,bklay)
|
|
|
2567 |
c =================================================================
|
|
|
2568 |
c argument declaration
|
|
|
2569 |
integer ie,je,ke
|
|
|
2570 |
real,intent(OUT) :: pr(ie,je,ke)
|
|
|
2571 |
real,intent(IN) :: sp(ie,je),stag3
|
|
|
2572 |
real,intent(IN) :: aklev(ke),bklev(ke),aklay(ke),bklay(ke)
|
|
|
2573 |
|
|
|
2574 |
c variable declaration
|
|
|
2575 |
integer i,j,k
|
|
|
2576 |
real psrf
|
|
|
2577 |
|
|
|
2578 |
c statement-functions for the computation of pressure
|
|
|
2579 |
real prlev,prlay
|
|
|
2580 |
integer is
|
|
|
2581 |
prlev(is)=aklev(is)+bklev(is)*psrf
|
|
|
2582 |
prlay(is)=aklay(is)+bklay(is)*psrf
|
|
|
2583 |
|
|
|
2584 |
c computation pressure
|
|
|
2585 |
do i=1,ie
|
|
|
2586 |
do j=1,je
|
|
|
2587 |
psrf=sp(i,j)
|
|
|
2588 |
do k=1,ke
|
|
|
2589 |
if (stag3.eq.0.) then
|
|
|
2590 |
pr(i,j,k)=prlev(k)
|
|
|
2591 |
else
|
|
|
2592 |
pr(i,j,k)=prlay(k)
|
|
|
2593 |
endif
|
|
|
2594 |
enddo
|
|
|
2595 |
enddo
|
|
|
2596 |
enddo
|
|
|
2597 |
end
|
|
|
2598 |
|
|
|
2599 |
subroutine pres(pr,sp,ie,je,ke,ak,bk)
|
|
|
2600 |
c =====================================
|
|
|
2601 |
c argument declaration
|
|
|
2602 |
integer ie,je,ke
|
|
|
2603 |
real,intent(OUT) :: pr(ie,je,ke)
|
|
|
2604 |
real,intent(IN) :: sp(ie,je)
|
|
|
2605 |
real,intent(IN) :: ak(ke),bk(ke)
|
|
|
2606 |
|
|
|
2607 |
c variable declaration
|
|
|
2608 |
integer i,j,k
|
|
|
2609 |
|
|
|
2610 |
c computation pressure
|
|
|
2611 |
do i=1,ie
|
|
|
2612 |
do j=1,je
|
|
|
2613 |
do k=1,ke
|
|
|
2614 |
pr(i,j,k)=ak(k)+bk(k)*sp(i,j)
|
|
|
2615 |
enddo
|
|
|
2616 |
enddo
|
|
|
2617 |
enddo
|
|
|
2618 |
end
|
|
|
2619 |
|
|
|
2620 |
subroutine coslat(cl,pollon,pollat,vmin,dx,dy,ie,je)
|
|
|
2621 |
c ====================================================
|
|
|
2622 |
c argument declaration
|
|
|
2623 |
integer ie,je
|
|
|
2624 |
real,intent(OUT) :: cl(ie,je)
|
|
|
2625 |
|
|
|
2626 |
c variable declaration
|
|
|
2627 |
real pollon,pollat,vmin(3),vmax(3)
|
|
|
2628 |
real lon,lat,rlon,rlat
|
|
|
2629 |
integer i,j
|
|
|
2630 |
|
|
|
2631 |
real phstoph
|
|
|
2632 |
|
|
|
2633 |
real pi
|
|
|
2634 |
data pi /3.141592654/
|
|
|
2635 |
|
|
|
2636 |
C Calculate cos(latitude) array and the coriolis parameter
|
|
|
2637 |
|
|
|
2638 |
if ((pollon.ne.0.).or.(pollat.ne.90.)) then
|
|
|
2639 |
do j=1,je
|
|
|
2640 |
rlat=vmin(2)+(j-1)*dy
|
|
|
2641 |
do i=1,ie
|
|
|
2642 |
rlon=vmin(1)+(i-1)*dx
|
|
|
2643 |
yphys=phstoph(rlat,rlon,pollat,pollon)
|
|
|
2644 |
C if I use sind(lat in deg): troubles at the N-pole
|
|
|
2645 |
cl(i,j)=cos(rlat*pi/180.)
|
|
|
2646 |
enddo
|
|
|
2647 |
enddo
|
|
|
2648 |
else
|
|
|
2649 |
do j=1,je
|
|
|
2650 |
lat=vmin(2)+(j-1)*dy
|
|
|
2651 |
lat=pi*lat/180.
|
|
|
2652 |
do i=1,ie
|
|
|
2653 |
cl(i,j)=cos(lat)
|
|
|
2654 |
enddo
|
|
|
2655 |
enddo
|
|
|
2656 |
endif
|
|
|
2657 |
|
|
|
2658 |
return
|
|
|
2659 |
end
|
|
|
2660 |
|
|
|
2661 |
subroutine corpar(f,pollon,pollat,vmin,dx,dy,ie,je)
|
|
|
2662 |
c ====================================================
|
|
|
2663 |
c argument declaration
|
|
|
2664 |
integer ie,je
|
|
|
2665 |
real,intent(OUT) :: f(ie,je)
|
|
|
2666 |
|
|
|
2667 |
c variable declaration
|
|
|
2668 |
real pollon,pollat,vmin(3),vmax(3)
|
|
|
2669 |
real lon,lat,rlon,rlat
|
|
|
2670 |
integer i,j
|
|
|
2671 |
|
|
|
2672 |
real phstoph
|
|
|
2673 |
|
|
|
2674 |
real pi
|
|
|
2675 |
data pi /3.141592654/
|
|
|
2676 |
|
|
|
2677 |
C Calculate cos(latitude) array and the coriolis parameter
|
|
|
2678 |
|
|
|
2679 |
if ((pollon.ne.0.).or.(pollat.ne.90.)) then
|
|
|
2680 |
do j=1,je
|
|
|
2681 |
rlat=vmin(2)+(j-1)*dy
|
|
|
2682 |
do i=1,ie
|
|
|
2683 |
rlon=vmin(1)+(i-1)*dx
|
|
|
2684 |
yphys=phstoph(rlat,rlon,pollat,pollon)
|
|
|
2685 |
C if I use sind(lat in deg): troubles at the N-pole
|
|
|
2686 |
lat=2.*pi*yphys/360.
|
|
|
2687 |
f(i,j)=0.000145444*sin(lat)
|
|
|
2688 |
enddo
|
|
|
2689 |
enddo
|
|
|
2690 |
else
|
|
|
2691 |
do j=1,je
|
|
|
2692 |
lat=vmin(2)+(j-1)*dy
|
|
|
2693 |
lat=pi*lat/180.
|
|
|
2694 |
do i=1,ie
|
|
|
2695 |
f(i,j)=0.000145444*sin(lat)
|
|
|
2696 |
enddo
|
|
|
2697 |
enddo
|
|
|
2698 |
endif
|
|
|
2699 |
|
|
|
2700 |
return
|
|
|
2701 |
end
|
|
|
2702 |
|
|
|
2703 |
subroutine vint(intfield,field,sp,pmin,pmax,ie,je,ke,ak,bk)
|
|
|
2704 |
C ===========================================================
|
|
|
2705 |
|
|
|
2706 |
c argument declaration
|
|
|
2707 |
integer ie,je,ke
|
|
|
2708 |
real intfield(ie,je),field(ie,je,ke),sp(ie,je)
|
|
|
2709 |
real ak(ke),bk(ke)
|
|
|
2710 |
real pmin,pmax
|
|
|
2711 |
|
|
|
2712 |
c variable declaration
|
|
|
2713 |
integer i,j,k,kmin,kmax
|
|
|
2714 |
real coeff,pval
|
|
|
2715 |
|
|
|
2716 |
c statement-functions for the computation of pressure
|
|
|
2717 |
real pp,psrf
|
|
|
2718 |
integer is
|
|
|
2719 |
pp(is)=ak(is)+bk(is)*psrf
|
|
|
2720 |
|
|
|
2721 |
C ====================================================================
|
|
|
2722 |
C === begin of main part of this subroutine ========================
|
|
|
2723 |
C ====================================================================
|
|
|
2724 |
|
|
|
2725 |
do i=1,ie
|
|
|
2726 |
do j=1,je
|
|
|
2727 |
intfield(i,j)=0.
|
|
|
2728 |
psrf=sp(i,j)
|
|
|
2729 |
if (psrf.lt.pmin) then
|
|
|
2730 |
intfield(i,j)=-999.98999
|
|
|
2731 |
goto 556
|
|
|
2732 |
endif
|
|
|
2733 |
kmin=1
|
|
|
2734 |
kmax=1
|
|
|
2735 |
do k=2,ke
|
|
|
2736 |
if ((pp(k).lt.pmax).and.(pp(k-1).gt.pmax)) kmin=k
|
|
|
2737 |
if ((pp(k).lt.pmin).and.(pp(k-1).gt.pmin)) kmax=k-1
|
|
|
2738 |
enddo
|
|
|
2739 |
c check if field is not equal mdv
|
|
|
2740 |
do k=kmin,kmax+1
|
|
|
2741 |
if (field(i,j,k).eq.-999.98999) then
|
|
|
2742 |
intfield(i,j)=-999.98999
|
|
|
2743 |
goto 556
|
|
|
2744 |
endif
|
|
|
2745 |
enddo
|
|
|
2746 |
c pmin and pmax are inbetween same pair of layers
|
|
|
2747 |
c interpolate on intermediate value (pmin+pmax)/2.
|
|
|
2748 |
if (kmin.eq.kmax+1) then
|
|
|
2749 |
pval=(pmin+pmax)/2.
|
|
|
2750 |
coeff=(pval-pp(kmin-1))/(pp(kmin)-pp(kmin-1))
|
|
|
2751 |
intfield(i,j)=(pmax-pmin)*
|
|
|
2752 |
& (field(i,j,kmin)*coeff+field(i,j,kmax)*(1.-coeff))
|
|
|
2753 |
goto 555
|
|
|
2754 |
endif
|
|
|
2755 |
c one layer is inbetween pmin and pmax
|
|
|
2756 |
if (kmin.eq.kmax) then
|
|
|
2757 |
if (psrf.lt.pmax) then
|
|
|
2758 |
intfield(i,j)=field(i,j,kmin)*(psrf-pmin)
|
|
|
2759 |
else
|
|
|
2760 |
intfield(i,j)=field(i,j,kmin)*(pmax-pmin)
|
|
|
2761 |
endif
|
|
|
2762 |
goto 555
|
|
|
2763 |
endif
|
|
|
2764 |
c loop for the interior levels
|
|
|
2765 |
do k=kmin+1,kmax-1
|
|
|
2766 |
intfield(i,j)=intfield(i,j)+field(i,j,k)*
|
|
|
2767 |
& 0.5*(pp(k-1)-pp(k+1))
|
|
|
2768 |
enddo
|
|
|
2769 |
c special treatment of the bounding levels
|
|
|
2770 |
if (kmin.eq.1) then
|
|
|
2771 |
if (psrf.lt.pmax) then
|
|
|
2772 |
intfield(i,j)=intfield(i,j)+
|
|
|
2773 |
& field(i,j,1)*(0.5*(pp(1)-pp(2))+psrf-pp(1))
|
|
|
2774 |
else
|
|
|
2775 |
intfield(i,j)=intfield(i,j)+
|
|
|
2776 |
& field(i,j,1)*(0.5*(pp(1)-pp(2))+pmax-pp(1))
|
|
|
2777 |
endif
|
|
|
2778 |
else
|
|
|
2779 |
coeff=(pmax-pp(kmin-1))/(pp(kmin)-pp(kmin-1))
|
|
|
2780 |
intfield(i,j)=intfield(i,j)+
|
|
|
2781 |
& field(i,j,kmin)*0.5*(pmax-pp(kmin+1))+
|
|
|
2782 |
& (field(i,j,kmin)*coeff+field(i,j,kmin-1)*(1.-coeff))*
|
|
|
2783 |
& 0.5*(pmax-pp(kmin))
|
|
|
2784 |
endif
|
|
|
2785 |
if (kmax.eq.ke) then
|
|
|
2786 |
intfield(i,j)=intfield(i,j)+
|
|
|
2787 |
& field(i,j,ke)*0.5*(pp(ke-1)-pp(ke))
|
|
|
2788 |
else
|
|
|
2789 |
coeff=(pmin-pp(kmax+1))/(pp(kmax)-pp(kmax+1))
|
|
|
2790 |
intfield(i,j)=intfield(i,j)+
|
|
|
2791 |
& field(i,j,kmax)*0.5*(pp(kmax-1)-pmin)+
|
|
|
2792 |
& (field(i,j,kmax)*coeff+field(i,j,kmax+1)*(1.-coeff))*
|
|
|
2793 |
& 0.5*(pp(kmax)-pmin)
|
|
|
2794 |
endif
|
|
|
2795 |
555 continue
|
|
|
2796 |
C Calculate mean value
|
|
|
2797 |
if (psrf.lt.pmax) then
|
|
|
2798 |
intfield(i,j)=intfield(i,j)/(psrf-pmin)
|
|
|
2799 |
else
|
|
|
2800 |
intfield(i,j)=intfield(i,j)/(pmax-pmin)
|
|
|
2801 |
endif
|
|
|
2802 |
556 continue
|
|
|
2803 |
enddo
|
|
|
2804 |
enddo
|
|
|
2805 |
|
|
|
2806 |
return
|
|
|
2807 |
end
|
|
|
2808 |
|
|
|
2809 |
subroutine nvint(intfield,field,sp,pmi,pma,
|
|
|
2810 |
> ie,je,ke,ak,bk,iflag)
|
|
|
2811 |
C ===========================================
|
|
|
2812 |
c
|
|
|
2813 |
c iflag input =0 average (like SR vint); =1 integration
|
|
|
2814 |
|
|
|
2815 |
c argument declaration
|
|
|
2816 |
integer ie,je,ke,iflag
|
|
|
2817 |
real intfield(ie,je),field(ie,je,ke),sp(ie,je)
|
|
|
2818 |
real ak(ke),bk(ke)
|
|
|
2819 |
real pmin,pmax,pmi,pma
|
|
|
2820 |
|
|
|
2821 |
c variable declaration
|
|
|
2822 |
integer ilev
|
|
|
2823 |
integer i,j,k,kmin,kmax,kshift
|
|
|
2824 |
real mdv,coeff,pval
|
|
|
2825 |
|
|
|
2826 |
c statement-functions for the computation of pressure
|
|
|
2827 |
real pp,psrf
|
|
|
2828 |
integer is
|
|
|
2829 |
pp(is)=ak(is)+bk(is)*psrf
|
|
|
2830 |
|
|
|
2831 |
C ====================================================================
|
|
|
2832 |
C === begin of main part of this subroutine ========================
|
|
|
2833 |
C ====================================================================
|
|
|
2834 |
|
|
|
2835 |
C set misdat value
|
|
|
2836 |
mdv=-999.98999
|
|
|
2837 |
|
|
|
2838 |
C determine whether data is on model levels (ilev=0)
|
|
|
2839 |
C or pressure levels (ilev=1)
|
|
|
2840 |
ilev=1
|
|
|
2841 |
do k=1,ke
|
|
|
2842 |
if (bk(k).ne.0.) ilev=0
|
|
|
2843 |
enddo
|
|
|
2844 |
|
|
|
2845 |
do i=1,ie
|
|
|
2846 |
do j=1,je
|
|
|
2847 |
intfield(i,j)=0.
|
|
|
2848 |
psrf=sp(i,j)
|
|
|
2849 |
kmin=1
|
|
|
2850 |
kmax=1
|
|
|
2851 |
pmin=pmi
|
|
|
2852 |
pmax=pma
|
|
|
2853 |
if (ilev.eq.0) then
|
|
|
2854 |
if (psrf.lt.pmin) then
|
|
|
2855 |
intfield(i,j)=mdv
|
|
|
2856 |
goto 456
|
|
|
2857 |
endif
|
|
|
2858 |
endif
|
|
|
2859 |
do k=2,ke
|
|
|
2860 |
if ((pp(k).le.pmax).and.(pp(k-1).gt.pmax)) kmin=k
|
|
|
2861 |
if ((pp(k).le.pmin).and.(pp(k-1).gt.pmin)) kmax=k-1
|
|
|
2862 |
enddo
|
|
|
2863 |
c if model levels: set vint=mdv if one level is equal mdv
|
|
|
2864 |
if (ilev.eq.0) then
|
|
|
2865 |
do k=kmin,kmax+1
|
|
|
2866 |
if (field(i,j,k).eq.mdv) then
|
|
|
2867 |
intfield(i,j)=mdv
|
|
|
2868 |
goto 456
|
|
|
2869 |
endif
|
|
|
2870 |
enddo
|
|
|
2871 |
endif
|
|
|
2872 |
c if pressure levels: check whether lowest levels are not mdv
|
|
|
2873 |
c if they are: adjust pmax
|
|
|
2874 |
if (ilev.eq.1) then
|
|
|
2875 |
kshift=0
|
|
|
2876 |
do k=kmin,kmax
|
|
|
2877 |
if (field(i,j,k).eq.mdv) then
|
|
|
2878 |
kshift=kshift+1
|
|
|
2879 |
pmax=0.5*(pp(k)+pp(k+1))
|
|
|
2880 |
endif
|
|
|
2881 |
enddo
|
|
|
2882 |
c if mdv occur go even one level higher
|
|
|
2883 |
if (kshift.gt.0) kshift=kshift+1
|
|
|
2884 |
kmin=kmin+kshift
|
|
|
2885 |
if (kmin.gt.kmax+1) then
|
|
|
2886 |
intfield(i,j)=mdv
|
|
|
2887 |
goto 456
|
|
|
2888 |
endif
|
|
|
2889 |
endif
|
|
|
2890 |
c pmin and pmax are inbetween same pair of layers
|
|
|
2891 |
c interpolate on intermediate value (pmin+pmax)/2.
|
|
|
2892 |
if (kmin.eq.kmax+1) then
|
|
|
2893 |
pval=(pmin+pmax)/2.
|
|
|
2894 |
coeff=(pval-pp(kmin-1))/(pp(kmin)-pp(kmin-1))
|
|
|
2895 |
intfield(i,j)=(pmax-pmin)*
|
|
|
2896 |
& (field(i,j,kmin)*coeff+field(i,j,kmax)*(1.-coeff))
|
|
|
2897 |
goto 455
|
|
|
2898 |
endif
|
|
|
2899 |
c one layer is inbetween pmin and pmax
|
|
|
2900 |
if (kmin.eq.kmax) then
|
|
|
2901 |
if (psrf.lt.pmax) then
|
|
|
2902 |
intfield(i,j)=field(i,j,kmin)*(psrf-pmin)
|
|
|
2903 |
else
|
|
|
2904 |
intfield(i,j)=field(i,j,kmin)*(pmax-pmin)
|
|
|
2905 |
endif
|
|
|
2906 |
goto 455
|
|
|
2907 |
endif
|
|
|
2908 |
c loop for the interior levels
|
|
|
2909 |
do k=kmin+1,kmax-1
|
|
|
2910 |
intfield(i,j)=intfield(i,j)+field(i,j,k)*
|
|
|
2911 |
& 0.5*(pp(k-1)-pp(k+1))
|
|
|
2912 |
enddo
|
|
|
2913 |
c special treatment of the bounding levels
|
|
|
2914 |
if (kmin.eq.1) then
|
|
|
2915 |
if (psrf.lt.pmax) then
|
|
|
2916 |
intfield(i,j)=intfield(i,j)+
|
|
|
2917 |
& field(i,j,1)*(0.5*(pp(1)-pp(2))+psrf-pp(1))
|
|
|
2918 |
else
|
|
|
2919 |
intfield(i,j)=intfield(i,j)+
|
|
|
2920 |
& field(i,j,1)*(0.5*(pp(1)-pp(2))+pmax-pp(1))
|
|
|
2921 |
endif
|
|
|
2922 |
else
|
|
|
2923 |
coeff=(pmax-pp(kmin-1))/(pp(kmin)-pp(kmin-1))
|
|
|
2924 |
intfield(i,j)=intfield(i,j)+
|
|
|
2925 |
& field(i,j,kmin)*0.5*(pmax-pp(kmin+1))+
|
|
|
2926 |
& (field(i,j,kmin)*coeff+field(i,j,kmin-1)*(1.-coeff))*
|
|
|
2927 |
& 0.5*(pmax-pp(kmin))
|
|
|
2928 |
endif
|
|
|
2929 |
if (kmax.eq.ke) then
|
|
|
2930 |
intfield(i,j)=intfield(i,j)+
|
|
|
2931 |
& field(i,j,ke)*0.5*(pp(ke-1)-pp(ke))
|
|
|
2932 |
else
|
|
|
2933 |
coeff=(pmin-pp(kmax+1))/(pp(kmax)-pp(kmax+1))
|
|
|
2934 |
intfield(i,j)=intfield(i,j)+
|
|
|
2935 |
& field(i,j,kmax)*0.5*(pp(kmax-1)-pmin)+
|
|
|
2936 |
& (field(i,j,kmax)*coeff+field(i,j,kmax+1)*(1.-coeff))*
|
|
|
2937 |
& 0.5*(pp(kmax)-pmin)
|
|
|
2938 |
endif
|
|
|
2939 |
455 continue
|
|
|
2940 |
C Calculate mean or integrated value
|
|
|
2941 |
if (iflag.eq.0) then
|
|
|
2942 |
if ((ilev.eq.0).and.(psrf.lt.pmax)) then
|
|
|
2943 |
intfield(i,j)=intfield(i,j)/(psrf-pmin)
|
|
|
2944 |
else
|
|
|
2945 |
intfield(i,j)=intfield(i,j)/(pmax-pmin)
|
|
|
2946 |
endif
|
|
|
2947 |
else
|
|
|
2948 |
intfield(i,j)=100./9.8*intfield(i,j)
|
|
|
2949 |
endif
|
|
|
2950 |
456 continue
|
|
|
2951 |
enddo
|
|
|
2952 |
enddo
|
|
|
2953 |
|
|
|
2954 |
return
|
|
|
2955 |
end
|
|
|
2956 |
|
|
|
2957 |
C =================================================================
|
|
|
2958 |
subroutine z2hno3(z,nmbl,zval,prof,hno3)
|
|
|
2959 |
C =================================================================
|
|
|
2960 |
C Input is a hno3-profile ("prof") in function of "nmbl" Z-levels
|
|
|
2961 |
C stored in zval.
|
|
|
2962 |
C Output is the "hno3"-value on this "z"
|
|
|
2963 |
|
|
|
2964 |
implicit none
|
|
|
2965 |
integer nmbl
|
|
|
2966 |
|
|
|
2967 |
C Argument declaration
|
|
|
2968 |
real zval(nmbl),prof(nmbl),hno3,z
|
|
|
2969 |
|
|
|
2970 |
C Further variables declaration
|
|
|
2971 |
real re
|
|
|
2972 |
integer i
|
|
|
2973 |
|
|
|
2974 |
C Check if z is inside profile values
|
|
|
2975 |
if (z.gt.zval(nmbl)) then
|
|
|
2976 |
print*,'*** error: z is over the range of HNO3-profile:'
|
|
|
2977 |
print*,z,zval(nmbl)
|
|
|
2978 |
stop
|
|
|
2979 |
endif
|
|
|
2980 |
|
|
|
2981 |
if (z.lt.zval(1)) then
|
|
|
2982 |
print*,'*** error: z is below the range of HNO3-profile:'
|
|
|
2983 |
print*,z,zval(1)
|
|
|
2984 |
stop
|
|
|
2985 |
endif
|
|
|
2986 |
|
|
|
2987 |
C Interpolate z of table to find the HNO3 value
|
|
|
2988 |
do i=1,nmbl-1
|
|
|
2989 |
if (z.ge.zval(i) .and. z.lt.zval(i+1)) then
|
|
|
2990 |
re=(z-zval(i))/(zval(i+1)-zval(i))
|
|
|
2991 |
goto 22
|
|
|
2992 |
endif
|
|
|
2993 |
if (i.eq.nmbl-1) then
|
|
|
2994 |
print*,'***Error: z:',z,' outside HNO3-Profile...'
|
|
|
2995 |
stop
|
|
|
2996 |
endif
|
|
|
2997 |
enddo
|
|
|
2998 |
|
|
|
2999 |
22 hno3=prof(i)+re*(prof(i+1)-prof(i))
|
|
|
3000 |
* print*,zi,zval(i),zval(i+1),re
|
|
|
3001 |
return
|
|
|
3002 |
|
|
|
3003 |
end
|
|
|
3004 |
|
|
|
3005 |
C =================================================================
|
|
|
3006 |
subroutine p2h2o(p,xih2o)
|
|
|
3007 |
C =================================================================
|
|
|
3008 |
|
|
|
3009 |
implicit none
|
|
|
3010 |
|
|
|
3011 |
integer nn
|
|
|
3012 |
parameter (nn=12)
|
|
|
3013 |
real wprof(nn),pprof(nn)
|
|
|
3014 |
|
|
|
3015 |
c variables declaration
|
|
|
3016 |
real p,xih2o,k
|
|
|
3017 |
integer n
|
|
|
3018 |
data pprof/150.,130.,100.,90.,80.,70.,60.,50.,40.,30.,20.,10./
|
|
|
3019 |
data wprof/4.57,4.4,4.25,4.28,4.38,4.53,4.7,4.97,5.4,
|
|
|
3020 |
> 5.9,6.6,6.85/
|
|
|
3021 |
|
|
|
3022 |
do n=1,nn-1
|
|
|
3023 |
if (p.le.pprof(n).and.p.ge.pprof(n+1)) then
|
|
|
3024 |
k=(p-pprof(n))/(pprof(n+1)-pprof(n))
|
|
|
3025 |
goto 100
|
|
|
3026 |
endif
|
|
|
3027 |
if (n.eq.nn-1) then
|
|
|
3028 |
print*,p,pprof(1),pprof(nn)
|
|
|
3029 |
stop'Table too small'
|
|
|
3030 |
endif
|
|
|
3031 |
enddo
|
|
|
3032 |
|
|
|
3033 |
100 continue
|
|
|
3034 |
|
|
|
3035 |
xih2o=wprof(n)+k*(wprof(n+1)-wprof(n))
|
|
|
3036 |
return
|
|
|
3037 |
end
|
|
|
3038 |
|
|
|
3039 |
C =================================================================
|
|
|
3040 |
subroutine sg(temp,pres,rad,as,xHNO3,xH2O,sedi,growth)
|
|
|
3041 |
C =================================================================
|
|
|
3042 |
C Input of sg are a Temperature[K], a pressure[hPa], a Radius[um],
|
|
|
3043 |
C a particle shape specification stored in "as" with s for
|
|
|
3044 |
C spherical particles, a for aspherical a mixing ratio of HNO3.
|
|
|
3045 |
C Output is the sedimentation factor and a growth rate for the
|
|
|
3046 |
C specified particle.
|
|
|
3047 |
implicit none
|
|
|
3048 |
|
|
|
3049 |
C Constants declaration
|
|
|
3050 |
real deltarho, g, cunn_a, cunn_b, cunn_c
|
|
|
3051 |
real ff1, ff2
|
|
|
3052 |
real gas_diffusivity_corr, mb2mm
|
|
|
3053 |
real aspect_ratio, d2, k, pi, R
|
|
|
3054 |
|
|
|
3055 |
parameter (g=9.81, deltarho=1.62e3) ! deltarho=(NAT Density-Air Density)
|
|
|
3056 |
parameter (cunn_a=1.257, cunn_b=0.4, cunn_c=1.1)!cunn stays for Cunningham...
|
|
|
3057 |
parameter (ff1=1.12, ff2=0.58248) ! Form factors for asphericity 1:3
|
|
|
3058 |
parameter (mb2mm=760./1000.)
|
|
|
3059 |
C For aspher. part., changing the next value implies changing others as formfactors
|
|
|
3060 |
parameter (aspect_ratio=1./3.)
|
|
|
3061 |
parameter (d2=3.e-10, k=1.380661e-23, pi=3.1415927, R=8.31441)
|
|
|
3062 |
|
|
|
3063 |
C Arguments declaration
|
|
|
3064 |
double precision sedi,growth
|
|
|
3065 |
real temp,pres,rad,xHNO3,xH2O
|
|
|
3066 |
character*(1) as
|
|
|
3067 |
|
|
|
3068 |
C Functions declaration
|
|
|
3069 |
double precision cunn_corr,grown
|
|
|
3070 |
|
|
|
3071 |
C Further variables
|
|
|
3072 |
double precision cc,wStokes,lamda,knudsen,capacity,deltapress
|
|
|
3073 |
real eta,p_HNO3,p_H2O
|
|
|
3074 |
|
|
|
3075 |
eta = 6.45e-8 * temp
|
|
|
3076 |
|
|
|
3077 |
wStokes = 2.* rad**2 * g * deltarho / (9. * eta)
|
|
|
3078 |
|
|
|
3079 |
lamda= k * temp / ( 2.**0.5 * 100. * pres * pi * d2**2 )
|
|
|
3080 |
|
|
|
3081 |
knudsen= lamda / rad
|
|
|
3082 |
|
|
|
3083 |
if (as.eq.'s') then
|
|
|
3084 |
cc=cunn_corr(knudsen,1.,1.,cunn_a,cunn_b,cunn_c)
|
|
|
3085 |
capacity=1.
|
|
|
3086 |
else
|
|
|
3087 |
cc=cunn_corr(knudsen,ff1,ff2,cunn_a,cunn_b,cunn_c)
|
|
|
3088 |
capacity=sqrt(1.-aspect_ratio**2) / (aspect_ratio**(2./3.) *
|
|
|
3089 |
> log( (1. + sqrt(1.-aspect_ratio**2)) / aspect_ratio) )
|
|
|
3090 |
endif
|
|
|
3091 |
|
|
|
3092 |
sedi= wStokes * cc / rad**2
|
|
|
3093 |
|
|
|
3094 |
p_H2O= pres * xH2O * 1.e-6
|
|
|
3095 |
p_HNO3= pres * xHNO3 * 1.e-9
|
|
|
3096 |
deltapress= p_HNO3 - ( exp( (-2.7836 - 0.00088 * temp) *
|
|
|
3097 |
> log (p_H2O * mb2mm) + 89.7674 - 26242. / temp +
|
|
|
3098 |
> 0.021135 * temp ) / mb2mm )
|
|
|
3099 |
|
|
|
3100 |
growth= capacity * grown(temp,pres,rad,sedi,deltapress,eta)
|
|
|
3101 |
C print*,'T,p,r,shape,xHNO3 -> sedi,growth,',temp,pres,rad,as,
|
|
|
3102 |
C > xHNO3,sedi,growth
|
|
|
3103 |
end
|
|
|
3104 |
|
|
|
3105 |
C =================================================================
|
|
|
3106 |
double precision function grown(temp,pres,rad,sedi,deltapress,eta)
|
|
|
3107 |
C =================================================================
|
|
|
3108 |
implicit none
|
|
|
3109 |
|
|
|
3110 |
real molmass_g,molmass_s,rho_s
|
|
|
3111 |
real p0,T0,R,pi,gas_diffusivity_corr
|
|
|
3112 |
|
|
|
3113 |
parameter (molmass_g=63.e-3 ,molmass_s=117.e-3 ,rho_s=1.62e3 )
|
|
|
3114 |
parameter (p0=1013.25,T0=273.15,pi=3.1415927,R=8.3144)
|
|
|
3115 |
parameter (gas_diffusivity_corr=1.)
|
|
|
3116 |
|
|
|
3117 |
double precision sedi,deltapress,gasdiffu,gasdiffcorr,prod
|
|
|
3118 |
real temp,pres,rad,eta
|
|
|
3119 |
real meanvel,Reynold,Schmidt,ventil
|
|
|
3120 |
|
|
|
3121 |
C if ( temp.lt.233 .or. temp.gt.313 ) print*,'*** Warning:
|
|
|
3122 |
C >Temperature',temp,'is out of validity for diffusivity'
|
|
|
3123 |
|
|
|
3124 |
gasdiffu= sqrt( 0.018 / molmass_g ) * 0.211e-4 *
|
|
|
3125 |
> ( temp / T0 )**1.94 * (P0 / pres)
|
|
|
3126 |
meanvel= sqrt( 8.* R * temp / (molmass_g * pi) )
|
|
|
3127 |
gasdiffcorr= gasdiffu / ( 1. + 4. * gasdiffu /
|
|
|
3128 |
> ( gas_diffusivity_corr * rad * meanvel ) )
|
|
|
3129 |
Reynold= sedi * rad**2 * 2. * rad / eta
|
|
|
3130 |
Schmidt= eta / gasdiffu
|
|
|
3131 |
prod= Schmidt**(1./3.) * sqrt(Reynold)
|
|
|
3132 |
|
|
|
3133 |
if ( prod.lt.1.4) then
|
|
|
3134 |
ventil= 1. + 0.108 * prod**2
|
|
|
3135 |
else
|
|
|
3136 |
ventil= 0.78 + 0.308 * prod
|
|
|
3137 |
endif
|
|
|
3138 |
grown= gasdiffcorr * ventil * molmass_s * deltapress * 100. /
|
|
|
3139 |
> ( rho_s * R * temp )
|
|
|
3140 |
return
|
|
|
3141 |
end
|
|
|
3142 |
|
|
|
3143 |
C =================================================================
|
|
|
3144 |
double precision function cunn_corr(knudsen,ff1,ff2,a,b,c)
|
|
|
3145 |
C =================================================================
|
|
|
3146 |
double precision knudsen
|
|
|
3147 |
real ff1,ff2,a,b,c
|
|
|
3148 |
|
|
|
3149 |
cunn_corr=(1. + (ff2/ff1) * knudsen * (a+b*exp(-c/knudsen)))/ff1
|
|
|
3150 |
return
|
|
|
3151 |
end
|