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michaesp |
1 |
c -------------------------------------------------------------------------
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2 |
c Potential temperature (TH)
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3 |
c -------------------------------------------------------------------------
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subroutine calc_TH (pt,t,p)
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implicit none
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8 |
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9 |
c Argument declaration
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10 |
real pt ! Potential temperature [K]
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real t ! Temperature [either in C or in K]
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real p ! Pressure [hPa]
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c Physical parameters
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real rdcp,tzero
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data rdcp,tzero /0.286,273.15/
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c Calculation - distinction between temperature in C or in K
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if (t.lt.100.) then
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20 |
pt = (t+tzero) * ( (1000./p)**rdcp )
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else
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pt = t * ( (1000./p)**rdcp )
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endif
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24 |
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end
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26 |
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27 |
c -------------------------------------------------------------------------
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28 |
c Density (RHO)
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29 |
c -------------------------------------------------------------------------
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30 |
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31 |
subroutine calc_RHO (rho,t,p)
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32 |
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33 |
implicit none
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34 |
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35 |
c Argument declaration
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36 |
real rho ! Density [kg/m^3]
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37 |
real t ! Temperature [either in C or in K]
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38 |
real p ! Pressure [hPa]
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39 |
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40 |
c Physical parameters
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41 |
real rd,tzero
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42 |
data rd,tzero /287.05,273.15/
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43 |
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44 |
c Auxiliary variables
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45 |
real tk
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46 |
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47 |
c Calculation - distinction between temperature in C or in K
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48 |
if (t.lt.100.) then
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tk = t + tzero
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else
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tk = t
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endif
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53 |
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rho = 100.*p/( tk * rd )
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55 |
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end
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57 |
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58 |
c -------------------------------------------------------------------------
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59 |
c Relative humidity (RH)
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60 |
c -------------------------------------------------------------------------
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61 |
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62 |
subroutine calc_RH (rh,t,p,q)
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implicit none
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65 |
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66 |
c Argument declaration
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67 |
real rh ! Relative humidity [%]
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real t ! Temperature [either in C or in K]
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real p ! Pressure [hPa]
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real q ! Specific humidity [kg/kg]
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71 |
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72 |
c Physical parameters
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real rdcp,tzero
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data rdcp,tzero /0.286,273.15/
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real b1,b2w,b3,b4w,r,rd
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data b1,b2w,b3,b4w,r,rd /6.1078, 17.2693882, 273.16, 35.86,
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& 287.05, 461.51/
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c Auxiliary variables
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80 |
real ge
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81 |
real gqd
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82 |
real tc
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83 |
real pp,qk
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84 |
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85 |
c Calculation - distinction between temperature in C or in K
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if (t.gt.100.) then
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tc = t - tzero
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else
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tc = t
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endif
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qk = q
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92 |
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ge = b1*exp(b2w*tc/(tc+b3-b4w))
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gqd = r/rd*ge/(p-(1.-r/rd)*ge)
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rh = 100.*qk/gqd
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end
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98 |
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99 |
c -------------------------------------------------------------------------
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100 |
c Equivalent potential temperature (THE)
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101 |
c -------------------------------------------------------------------------
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102 |
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103 |
subroutine calc_THE (the,t,p,q)
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104 |
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implicit none
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106 |
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107 |
c Argument declaration
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108 |
real the ! Equivalent potential temperature [K]
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109 |
real t ! Temperature [either in C or in K]
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110 |
real p ! Pressure [hPa]
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111 |
real q ! Specific humidity [kg/kg]
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112 |
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113 |
c Physical parameters
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114 |
real rdcp,tzero
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data rdcp,tzero /0.286,273.15/
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116 |
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117 |
c Auxiliary variables
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118 |
real tk,qk
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119 |
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120 |
c Calculation - distinction between temperature in C or in K
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121 |
if (t.lt.100.) then
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tk = t + tzero
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else
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tk = t
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endif
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qk = q
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127 |
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128 |
the = tk*(1000./p)
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+ **(0.2854*(1.0-0.28*qk))*exp(
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+ (3.376/(2840.0/(3.5*alog(tk)-alog(
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+ 100.*p*max(1.0E-10,qk)/(0.622+0.378*
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+ q))-0.1998)+55.0)-0.00254)*1.0E3*
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+ max(1.0E-10,qk)*(1.0+0.81*qk))
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134 |
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end
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136 |
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137 |
c -------------------------------------------------------------------------
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138 |
c Latent heating rate (LHR)
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139 |
c -------------------------------------------------------------------------
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140 |
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141 |
subroutine calc_LHR (lhr,t,p,q,omega,rh)
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142 |
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143 |
implicit none
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144 |
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145 |
c Argument declaration
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146 |
real lhr ! Latent heating rate [K/6h]
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147 |
real t ! Temperature [either in C or in K]
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148 |
real p ! Pressure [hPa]
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149 |
real q ! Specific humidity [kg/kg]
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150 |
real omega ! Vertical velocity [Pa/s]
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151 |
real rh ! Relative humidity [%]
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152 |
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153 |
c Physical parameters
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154 |
real p0,kappa,tzero
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155 |
data p0,kappa,tzero /1000.,0.286,273.15/
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156 |
real blog10,cp,r,lw,eps
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157 |
data blog10,cp,r,lw,eps /.08006,1004.,287.,2.5e+6,0.622/
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158 |
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159 |
c Auxiliary variables
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160 |
real tk
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161 |
real qk
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162 |
real tt
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163 |
real esat,c
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164 |
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165 |
c Calculation - distinction between temperature in C or in K
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166 |
if (t.lt.100.) then
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tk = t + tzero
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else
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169 |
tk = t
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endif
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171 |
qk = q
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172 |
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173 |
if (rh.lt.80.) then
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lhr = 0.
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else if (omega.gt.0.) then
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lhr = 0.
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else
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178 |
c = lw/cp*eps*blog10*esat(tk)/p
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179 |
tt = (tk*(p0/p)**kappa)
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180 |
lhr = 21600.*
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181 |
> (1.-exp(.2*(80.-rh)))
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> *(-c*kappa*tt*omega/(100.*p))/(1.+c)
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183 |
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endif
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185 |
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186 |
end
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187 |
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188 |
c -------------------------------------------------------------------------
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189 |
c Wind speed (VEL)
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190 |
c -------------------------------------------------------------------------
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191 |
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192 |
subroutine calc_VEL (vel,u,v)
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193 |
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194 |
implicit none
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195 |
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196 |
c Argument declaration
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197 |
real vel ! Wind speed [m/s]
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198 |
real u ! Zonal wind component [m/s]
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199 |
real v ! Meridional wind component [m/s]
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200 |
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201 |
vel = sqrt ( u*u + v*v )
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202 |
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203 |
end
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204 |
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205 |
c -------------------------------------------------------------------------
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206 |
c Wind direction (DIR)
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207 |
c -------------------------------------------------------------------------
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208 |
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209 |
subroutine calc_DIR (dir,u,v)
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210 |
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211 |
implicit none
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212 |
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213 |
c Argument declaration
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214 |
real dir ! Wind direction [deg]
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215 |
real u ! Zonal wind component [m/s]
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216 |
real v ! Meridional wind component [m/s]
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217 |
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218 |
call getangle(1.,0.,u,v,dir)
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219 |
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end
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221 |
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222 |
c -------------------------------------------------------------------------
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223 |
c Zonal derivative of U (DUDX)
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224 |
c -------------------------------------------------------------------------
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225 |
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226 |
subroutine calc_DUDX (dudx,u1,u0,lat)
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227 |
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228 |
implicit none
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229 |
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230 |
c Argument declaration
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231 |
real dudx ! Derivative of U in zonal direction [s^-1]
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232 |
real u1 ! U @ LON + 1 DLON [m/s]
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233 |
real u0 ! U @ LON - 1 DLON [m/s]
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234 |
real lat ! Latitude [deg]
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235 |
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236 |
c Physical parameters
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237 |
real pi180
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238 |
parameter (pi180=31.14159/180.)
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239 |
real deltay
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240 |
parameter (deltay =1.11e5)
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241 |
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242 |
dudx = (u1-u0) / ( 2. * deltay * cos(pi180 * lat) )
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243 |
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end
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245 |
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246 |
c -------------------------------------------------------------------------
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247 |
c Zonal derivative of V (DVDX)
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248 |
c -------------------------------------------------------------------------
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249 |
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250 |
subroutine calc_DVDX (dvdx,v1,v0,lat)
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251 |
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252 |
c Argument declaration
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253 |
real dvdx ! Derivative of V in zonal direction [s^-1]
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254 |
real v1 ! V @ LON + 1 DLON [m/s]
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255 |
real v0 ! V @ LON - 1 DLON [m/s]
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256 |
real lat ! Latitude [deg]
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257 |
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258 |
c Physical parameters
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259 |
real pi180
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260 |
parameter (pi180=3.14159/180.)
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261 |
real deltay
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262 |
parameter (deltay =1.11e5)
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263 |
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264 |
dvdx = (v1-v0) / ( 2. * deltay * cos(pi180 * lat) )
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265 |
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266 |
end
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267 |
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268 |
c -------------------------------------------------------------------------
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269 |
c Zonal derivative of T (DTDX)
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270 |
c -------------------------------------------------------------------------
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271 |
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272 |
subroutine calc_DTDX (dtdx,t1,t0,lat)
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273 |
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274 |
implicit none
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275 |
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276 |
c Argument declaration
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277 |
real dtdx ! Derivative of T in zonal direction [K/m]
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278 |
real t1 ! T @ LON + 1 DLON [K]
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279 |
real t0 ! T @ LON - 1 DLON [K]
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280 |
real lat ! Latitude [deg]
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281 |
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282 |
c Physical parameters
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283 |
real pi180
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284 |
parameter (pi180=3.14159/180.)
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285 |
real deltay
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286 |
parameter (deltay =1.11e5)
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287 |
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288 |
dtdx = (t1-t0) / ( 2. * deltay * cos(pi180 * lat) )
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289 |
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290 |
end
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291 |
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292 |
c -------------------------------------------------------------------------
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293 |
c Zonal derivative of TH (DTHDX)
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294 |
c -------------------------------------------------------------------------
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295 |
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296 |
subroutine calc_DTHDX (dthdx,t1,t0,p,lat)
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297 |
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298 |
implicit none
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299 |
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300 |
c Argument declaration
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301 |
real dthdx ! Derivative of TH in zonal direction [K/m]
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302 |
real t1 ! T @ LON + 1 DLON [K]
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303 |
real t0 ! T @ LON - 1 DLON [K]
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304 |
real p ! P [hPa]
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305 |
real lat ! Latitude [deg]
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306 |
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307 |
c Physical parameters
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308 |
real pi180
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309 |
parameter (pi180=3.14159/180.)
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310 |
real deltay
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311 |
parameter (deltay =1.11e5)
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312 |
real rdcp,pref
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313 |
data rdcp,pref /0.286,1000./
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314 |
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315 |
dthdx = (pref/p)**rdcp *
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316 |
> (t1-t0) / ( 2. * deltay * cos(pi180 * lat) )
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317 |
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318 |
end
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319 |
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320 |
c -------------------------------------------------------------------------
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321 |
c Meridional derivative of U (DUDY)
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322 |
c -------------------------------------------------------------------------
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323 |
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324 |
subroutine calc_DUDY (dudy,u1,u0)
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325 |
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326 |
implicit none
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327 |
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328 |
c Argument declaration
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329 |
real dudy ! Derivative of U in meridional direction [s^-1]
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330 |
real u1 ! U @ LAT + 1 DLAT [m/s]
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331 |
real u0 ! U @ LAT - 1 DLAT [m/s]
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332 |
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333 |
c Physical parameters
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334 |
real deltay
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335 |
parameter (deltay =1.11e5)
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336 |
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337 |
dudy = (u1-u0) / ( 2. * deltay )
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338 |
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339 |
end
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340 |
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341 |
c -------------------------------------------------------------------------
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342 |
c Meridional derivative of V (DVDY)
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343 |
c -------------------------------------------------------------------------
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344 |
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345 |
subroutine calc_DVDY (dvdy,v1,v0)
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346 |
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347 |
implicit none
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348 |
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349 |
c Argument declaration
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350 |
real dvdy ! Derivative of V in meridional direction [s^-1]
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351 |
real v1 ! V @ LAT + 1 DLAT [m/s]
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352 |
real v0 ! V @ LAT - 1 DLAT [m/s]
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353 |
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354 |
c Physical parameters
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355 |
real deltay
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356 |
parameter (deltay =1.11e5)
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357 |
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358 |
dvdy = (v1-v0) / ( 2. * deltay )
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359 |
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360 |
end
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361 |
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362 |
c -------------------------------------------------------------------------
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363 |
c Meridional derivative of T (DTDY)
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364 |
c -------------------------------------------------------------------------
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365 |
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366 |
subroutine calc_DTDY (dtdy,t1,t0)
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367 |
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368 |
implicit none
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369 |
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370 |
c Argument declaration
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371 |
real dtdy ! Derivative of T in meridional direction [K/m]
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372 |
real t1 ! T @ LAT + 1 DLAT [K]
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373 |
real t0 ! T @ LAT - 1 DLAT [K]
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374 |
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375 |
c Physical parameters
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376 |
real deltay
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377 |
parameter (deltay =1.11e5)
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378 |
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379 |
dtdy = (t1-t0) / ( 2. * deltay )
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380 |
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381 |
end
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382 |
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383 |
c -------------------------------------------------------------------------
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384 |
c Meridional derivative of TH (DTHDY)
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385 |
c -------------------------------------------------------------------------
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386 |
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387 |
subroutine calc_DTHDY (dthdy,t1,t0,p)
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388 |
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389 |
implicit none
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390 |
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391 |
c Argument declaration
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392 |
real dthdy ! Derivative of TH in meridional direction [K/m]
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393 |
real t1 ! TH @ LAT + 1 DLAT [K]
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394 |
real t0 ! TH @ LAT - 1 DLAT [K]
|
|
|
395 |
real p ! P [hPa]
|
|
|
396 |
|
|
|
397 |
c Physical parameters
|
|
|
398 |
real deltay
|
|
|
399 |
parameter (deltay =1.11e5)
|
|
|
400 |
real rdcp,pref
|
|
|
401 |
data rdcp,pref /0.286,1000./
|
|
|
402 |
|
|
|
403 |
dthdy = (pref/p)**rdcp * (t1-t0) / ( 2. * deltay )
|
|
|
404 |
|
|
|
405 |
end
|
|
|
406 |
|
|
|
407 |
c -------------------------------------------------------------------------
|
|
|
408 |
c Wind shear of U (DUDP)
|
|
|
409 |
c -------------------------------------------------------------------------
|
|
|
410 |
|
|
|
411 |
subroutine calc_DUDP (dudp,u1,u0,p1,p0)
|
|
|
412 |
|
|
|
413 |
implicit none
|
|
|
414 |
|
|
|
415 |
c Argument declaration
|
|
|
416 |
real dudp ! Wind shear [m/s per Pa]
|
|
|
417 |
real u1 ! U @ P + 1 DP [m/s]
|
|
|
418 |
real u0 ! U @ P - 1 DP [m/s]
|
|
|
419 |
real p1 ! P + 1 DP [hPa]
|
|
|
420 |
real p0 ! P - 1 DP [hPa]
|
|
|
421 |
|
|
|
422 |
dudp = 0.01 * (u1-u0) / (p1-p0)
|
|
|
423 |
|
|
|
424 |
end
|
|
|
425 |
|
|
|
426 |
c -------------------------------------------------------------------------
|
|
|
427 |
c Wind shear of V (DVDP)
|
|
|
428 |
c -------------------------------------------------------------------------
|
|
|
429 |
|
|
|
430 |
subroutine calc_DVDP (dvdp,v1,v0,p1,p0)
|
|
|
431 |
|
|
|
432 |
implicit none
|
|
|
433 |
|
|
|
434 |
c Argument declaration
|
|
|
435 |
real dvdp ! Wind shear [m/s per Pa]
|
|
|
436 |
real v1 ! V @ P + 1 DP [m/s]
|
|
|
437 |
real v0 ! V @ P - 1 DP [m/s]
|
|
|
438 |
real p1 ! P + 1 DP [hPa]
|
|
|
439 |
real p0 ! P - 1 DP [hPa]
|
|
|
440 |
|
|
|
441 |
dvdp = 0.01 * (v1-v0) / (p1-p0)
|
|
|
442 |
|
|
|
443 |
end
|
|
|
444 |
|
|
|
445 |
c -------------------------------------------------------------------------
|
|
|
446 |
c Vertical derivative of T (DTDP)
|
|
|
447 |
c -------------------------------------------------------------------------
|
|
|
448 |
|
|
|
449 |
subroutine calc_DTDP (dtdp,t1,t0,p1,p0)
|
|
|
450 |
|
|
|
451 |
implicit none
|
|
|
452 |
|
|
|
453 |
c Argument declaration
|
|
|
454 |
real dtdp ! Vertical derivative of T [K/Pa]
|
|
|
455 |
real t1 ! T @ P + 1 DP [K]
|
|
|
456 |
real t0 ! T @ P - 1 DP [K]
|
|
|
457 |
real p1 ! P + 1 DP [hPa]
|
|
|
458 |
real p0 ! P - 1 DP [hPa]
|
|
|
459 |
|
|
|
460 |
dtdp = 0.01 * (t1-t0) / (p1-p0)
|
|
|
461 |
|
|
|
462 |
end
|
|
|
463 |
|
|
|
464 |
c -------------------------------------------------------------------------
|
|
|
465 |
c Vertical derivative of TH (DTHDP)
|
|
|
466 |
c -------------------------------------------------------------------------
|
|
|
467 |
|
|
|
468 |
subroutine calc_DTHDP (dthdp,t1,t0,p1,p0,p,t)
|
|
|
469 |
|
|
|
470 |
implicit none
|
|
|
471 |
|
|
|
472 |
c Argument declaration
|
|
|
473 |
real dthdp ! Vertical derivative of TH [K/Pa]
|
|
|
474 |
real t1 ! T @ P + 1 DP [K]
|
|
|
475 |
real t0 ! T @ P - 1 DP [K]
|
|
|
476 |
real t ! T [K]
|
|
|
477 |
real p1 ! P + 1 DP [hPa]
|
|
|
478 |
real p0 ! P - 1 DP [hPa]
|
|
|
479 |
real p ! P [hPa]
|
|
|
480 |
|
|
|
481 |
c Physical parameters
|
|
|
482 |
real rdcp,tzero,pref
|
|
|
483 |
data rdcp,tzero,pref /0.286,273.15,1000./
|
|
|
484 |
|
|
|
485 |
c Auxiliary variables
|
|
|
486 |
real tk1,tk0,tk
|
|
|
487 |
|
|
|
488 |
if (t0.lt.100.) then
|
|
|
489 |
tk0 = t0 + tzero
|
|
|
490 |
endif
|
|
|
491 |
if (t1.lt.100.) then
|
|
|
492 |
tk1 = t1 + tzero
|
|
|
493 |
endif
|
|
|
494 |
if (t.lt.100.) then
|
|
|
495 |
tk = t + tzero
|
|
|
496 |
endif
|
|
|
497 |
|
|
|
498 |
dthdp = 0.01*(pref/p)**rdcp *
|
|
|
499 |
> ( (tk1-tk0)/(p1-p0) - rdcp * tk/p )
|
|
|
500 |
|
|
|
501 |
end
|
|
|
502 |
|
|
|
503 |
c -------------------------------------------------------------------------
|
|
|
504 |
c Squared Brunt-Vaisäla frequency (NSQ)
|
|
|
505 |
c -------------------------------------------------------------------------
|
|
|
506 |
|
|
|
507 |
subroutine calc_NSQ (nsq,dthdp,th,rho)
|
|
|
508 |
|
|
|
509 |
implicit none
|
|
|
510 |
|
|
|
511 |
c Argument declaration
|
|
|
512 |
real nsq ! Squared Brunt-Vaisäla frequency [s^-1]
|
|
|
513 |
real dthdp ! D(TH)/DP [K/Pa]
|
|
|
514 |
real th ! K
|
|
|
515 |
real rho ! Density [kg m^-3]
|
|
|
516 |
|
|
|
517 |
c Physical parameters
|
|
|
518 |
real g
|
|
|
519 |
parameter (g=9.81)
|
|
|
520 |
|
|
|
521 |
nsq = -g**2/th * rho * dthdp
|
|
|
522 |
|
|
|
523 |
end
|
|
|
524 |
|
|
|
525 |
c -------------------------------------------------------------------------
|
|
|
526 |
c Relative vorticity (RELVORT)
|
|
|
527 |
c -------------------------------------------------------------------------
|
|
|
528 |
|
|
|
529 |
subroutine calc_RELVORT (relvort,dudy,dvdx,u,lat)
|
|
|
530 |
|
|
|
531 |
implicit none
|
|
|
532 |
|
|
|
533 |
c Argument declaration
|
|
|
534 |
real relvort ! Relative vorticity [s^-1]
|
|
|
535 |
real u ! Zonal wind component [m/s]
|
|
|
536 |
real dudy ! du/dy [s^-1]
|
|
|
537 |
real dvdx ! dv/dx [s^-1]
|
|
|
538 |
real lat ! Latitude [deg]
|
|
|
539 |
|
|
|
540 |
c Physical parameters
|
|
|
541 |
real pi180
|
|
|
542 |
parameter (pi180=3.14159/180.)
|
|
|
543 |
real deltay
|
|
|
544 |
parameter (deltay =1.11e5)
|
|
|
545 |
|
|
|
546 |
relvort = dvdx - dudy + u * pi180/deltay * tan(pi180 * lat)
|
|
|
547 |
|
|
|
548 |
end
|
|
|
549 |
|
|
|
550 |
c -------------------------------------------------------------------------
|
|
|
551 |
c Absolute vorticity (ABSVORT)
|
|
|
552 |
c -------------------------------------------------------------------------
|
|
|
553 |
|
|
|
554 |
subroutine calc_ABSVORT (absvort,dudy,dvdx,u,lat)
|
|
|
555 |
|
|
|
556 |
implicit none
|
|
|
557 |
|
|
|
558 |
c Argument declaration
|
|
|
559 |
real absvort ! Absolute vorticity [s^-1]
|
|
|
560 |
real u ! Zonal wind component [m/s]
|
|
|
561 |
real dudy ! du/dy [s^-1]
|
|
|
562 |
real dvdx ! dv/dx [s^-1]
|
|
|
563 |
real lat ! Latitude [deg]
|
|
|
564 |
|
|
|
565 |
c Physical parameters
|
|
|
566 |
real pi180
|
|
|
567 |
parameter (pi180=3.14159/180.)
|
|
|
568 |
real deltay
|
|
|
569 |
parameter (deltay =1.11e5)
|
|
|
570 |
real omega
|
|
|
571 |
parameter (omega=7.292e-5)
|
|
|
572 |
|
|
|
573 |
absvort = dvdx - dudy + u * pi180/deltay * tan(pi180 * lat) +
|
|
|
574 |
> 2. * omega * sin(pi180 * lat)
|
|
|
575 |
|
|
|
576 |
end
|
|
|
577 |
|
|
|
578 |
c -------------------------------------------------------------------------
|
|
|
579 |
c Divergence (DIV)
|
|
|
580 |
c -------------------------------------------------------------------------
|
|
|
581 |
|
|
|
582 |
subroutine calc_DIV (div,dudx,dvdy,v,lat)
|
|
|
583 |
|
|
|
584 |
implicit none
|
|
|
585 |
|
|
|
586 |
c Argument declaration
|
|
|
587 |
real div ! Divergence [s^-1]
|
|
|
588 |
real v ! Meridional wind component [m/s]
|
|
|
589 |
real dudx ! du/dx [s^-1]
|
|
|
590 |
real dvdy ! dv/dy [s^-1]
|
|
|
591 |
real lat ! Latitude [deg]
|
|
|
592 |
|
|
|
593 |
c Physical parameters
|
|
|
594 |
real pi180
|
|
|
595 |
parameter (pi180=3.14159/180.)
|
|
|
596 |
real deltay
|
|
|
597 |
parameter (deltay =1.11e5)
|
|
|
598 |
|
|
|
599 |
div = dudx + dvdy - v * pi180/deltay * tan(pi180 * lat)
|
|
|
600 |
|
|
|
601 |
end
|
|
|
602 |
|
|
|
603 |
c -------------------------------------------------------------------------
|
|
|
604 |
c Deformation (DEF)
|
|
|
605 |
c -------------------------------------------------------------------------
|
|
|
606 |
|
|
|
607 |
subroutine calc_DEF (def,dudx,dvdx,dudy,dvdy)
|
|
|
608 |
|
|
|
609 |
implicit none
|
|
|
610 |
|
|
|
611 |
c Argument declaration
|
|
|
612 |
real def ! Deformation [s^-1]
|
|
|
613 |
real dudx ! du/dx [s^-1]
|
|
|
614 |
real dvdx ! dv/dy [s^-1]
|
|
|
615 |
real dudy ! du/dx [s^-1]
|
|
|
616 |
real dvdy ! dv/dy [s^-1]
|
|
|
617 |
|
|
|
618 |
c Physical parameters
|
|
|
619 |
real pi180
|
|
|
620 |
parameter (pi180=3.14159/180.)
|
|
|
621 |
|
|
|
622 |
def = sqrt( (dvdx+dudy)**2 + (dudx-dvdy)**2 )
|
|
|
623 |
|
|
|
624 |
end
|
|
|
625 |
|
|
|
626 |
c -------------------------------------------------------------------------
|
|
|
627 |
c Potential Vorticity (PV)
|
|
|
628 |
c -------------------------------------------------------------------------
|
|
|
629 |
|
|
|
630 |
subroutine calc_PV (pv,absvort,dthdp,dudp,dvdp,dthdx,dthdy)
|
|
|
631 |
|
|
|
632 |
implicit none
|
|
|
633 |
|
|
|
634 |
c Argument declaration
|
|
|
635 |
real pv ! Ertel-PV [PVU]
|
|
|
636 |
real absvort ! Absolute vorticity [s^-1]
|
|
|
637 |
real dthdp ! dth/dp [K/Pa]
|
|
|
638 |
real dudp ! du/dp [m/s per Pa]
|
|
|
639 |
real dvdp ! dv/dp [m/s per Pa]
|
|
|
640 |
real dthdx ! dth/dx [K/m]
|
|
|
641 |
real dthdy ! dth/dy [K/m]
|
|
|
642 |
|
|
|
643 |
c Physical and numerical parameters
|
|
|
644 |
real scale
|
|
|
645 |
parameter (scale=1.E6)
|
|
|
646 |
real g
|
|
|
647 |
parameter (g=9.80665)
|
|
|
648 |
|
|
|
649 |
pv = -scale * g * ( absvort * dthdp + dudp * dthdy - dvdp * dthdx)
|
|
|
650 |
|
|
|
651 |
end
|
|
|
652 |
|
|
|
653 |
c -------------------------------------------------------------------------
|
|
|
654 |
c Richardson number (RI)
|
|
|
655 |
c -------------------------------------------------------------------------
|
|
|
656 |
|
|
|
657 |
subroutine calc_RI (ri,dudp,dvdp,nsq,rho)
|
|
|
658 |
|
|
|
659 |
implicit none
|
|
|
660 |
|
|
|
661 |
c Argument declaration
|
|
|
662 |
real ri ! Richardson number
|
|
|
663 |
real dudp ! Du/Dp [m/s per Pa]
|
|
|
664 |
real dvdp ! Dv/Dp [m/s per Pa]
|
|
|
665 |
real nsq ! Squared Brunt-Vailälä frequency [s^-1]
|
|
|
666 |
real rho ! Density [kg/m^3]
|
|
|
667 |
|
|
|
668 |
c Physical and numerical parameters
|
|
|
669 |
real g
|
|
|
670 |
parameter (g=9.80665)
|
|
|
671 |
|
|
|
672 |
ri = nsq / ( dudp**2 + dvdp**2 ) / ( rho * g )**2
|
|
|
673 |
|
|
|
674 |
end
|
|
|
675 |
|
|
|
676 |
c -------------------------------------------------------------------------
|
|
|
677 |
c Ellrod and Knapp's turbulence indicator (TI)
|
|
|
678 |
c -------------------------------------------------------------------------
|
|
|
679 |
|
|
|
680 |
subroutine calc_TI (ti,def,dudp,dvdp,rho)
|
|
|
681 |
|
|
|
682 |
implicit none
|
|
|
683 |
|
|
|
684 |
c Argument declaration
|
|
|
685 |
real ti ! Turbulence idicator
|
|
|
686 |
real def ! Deformation [s^-1]
|
|
|
687 |
real dudp ! Du/Dp [m/s per Pa]
|
|
|
688 |
real dvdp ! Dv/Dp [m/s per Pa]
|
|
|
689 |
real rho ! Density [kg/m^3]
|
|
|
690 |
|
|
|
691 |
c Physical and numerical parameters
|
|
|
692 |
real g
|
|
|
693 |
parameter (g=9.80665)
|
|
|
694 |
|
|
|
695 |
ti = def * sqrt ( dudp**2 + dvdp**2 ) * ( rho * g )
|
|
|
696 |
|
|
|
697 |
end
|
|
|
698 |
|
|
|
699 |
c -------------------------------------------------------------------------
|
|
|
700 |
c Distance from starting position
|
|
|
701 |
c -------------------------------------------------------------------------
|
|
|
702 |
|
|
|
703 |
subroutine calc_DIST0 (dist0,lon0,lat0,lon1,lat1)
|
|
|
704 |
|
|
|
705 |
implicit none
|
|
|
706 |
|
|
|
707 |
c Argument declaration
|
|
|
708 |
real dist0 ! Distance from starting position [km]
|
|
|
709 |
real lon0,lat0 ! Starting position
|
|
|
710 |
real lon1,lat1 ! New position
|
|
|
711 |
|
|
|
712 |
c Externals
|
|
|
713 |
real sdis
|
|
|
714 |
external sdis
|
|
|
715 |
|
|
|
716 |
dist0 = sdis(lon0,lat0,lon1,lat1)
|
|
|
717 |
|
|
|
718 |
end
|
|
|
719 |
|
|
|
720 |
c -------------------------------------------------------------------------
|
|
|
721 |
c Heading of the trajectory (HEAD)
|
|
|
722 |
c -------------------------------------------------------------------------
|
|
|
723 |
|
|
|
724 |
subroutine calc_HEAD (head,lon0,lat0,lon1,lat1)
|
|
|
725 |
|
|
|
726 |
implicit none
|
|
|
727 |
|
|
|
728 |
c Argument declaration
|
|
|
729 |
real head ! Heading angle (in deg) relativ to zonal direction
|
|
|
730 |
real lon0,lat0 ! Starting position
|
|
|
731 |
real lon1,lat1 ! New position
|
|
|
732 |
|
|
|
733 |
c Physical parameters
|
|
|
734 |
real pi180
|
|
|
735 |
parameter (pi180=3.14159/180.)
|
|
|
736 |
|
|
|
737 |
c Auixiliary variables
|
|
|
738 |
real dx,dy
|
|
|
739 |
real dlon
|
|
|
740 |
|
|
|
741 |
dlon = lon1-lon0
|
|
|
742 |
if ( dlon.gt.180. ) dlon = dlon - 360.
|
|
|
743 |
if ( dlon.lt.-180. ) dlon = dlon + 360.
|
|
|
744 |
|
|
|
745 |
dx = dlon * cos(pi180*0.5*(lat0+lat1))
|
|
|
746 |
dy = lat1-lat0
|
|
|
747 |
|
|
|
748 |
call getangle(1.,0.,dx,dy,head)
|
|
|
749 |
|
|
|
750 |
end
|
|
|
751 |
|
|
|
752 |
c -------------------------------------------------------------------------
|
|
|
753 |
c Directional change of the trajectory (HEAD)
|
|
|
754 |
c -------------------------------------------------------------------------
|
|
|
755 |
|
|
|
756 |
subroutine calc_DANGLE (dangle,lon0,lat0,lon1,lat1,lon2,lat2)
|
|
|
757 |
|
|
|
758 |
implicit none
|
|
|
759 |
|
|
|
760 |
c Argument declaration
|
|
|
761 |
real dangle ! Directiopanl change
|
|
|
762 |
real lon0,lat0 ! t-1
|
|
|
763 |
real lon1,lat1 ! t
|
|
|
764 |
real lon2,lat2 ! t+1
|
|
|
765 |
|
|
|
766 |
c Physical parameters
|
|
|
767 |
real pi180
|
|
|
768 |
parameter (pi180=3.14159/180.)
|
|
|
769 |
real eps
|
|
|
770 |
parameter (eps=0.00001)
|
|
|
771 |
|
|
|
772 |
c Auixiliary variables
|
|
|
773 |
real dx1,dy1,dx2,dy2,norm,cross,dlon1,dlon2
|
|
|
774 |
|
|
|
775 |
dlon1 = lon1 - lon0
|
|
|
776 |
if ( dlon1.gt.180. ) dlon1 = dlon1 - 360.
|
|
|
777 |
if ( dlon1.lt.-180. ) dlon1 = dlon1 + 360.
|
|
|
778 |
dlon2 = lon2 - lon1
|
|
|
779 |
if ( dlon2.gt.180. ) dlon2 = dlon2 - 360.
|
|
|
780 |
if ( dlon2.lt.-180. ) dlon2 = dlon2 + 360.
|
|
|
781 |
|
|
|
782 |
dx1 = dlon1 * cos(pi180*0.5*(lat1+lat0))
|
|
|
783 |
dy1 = lat1 - lat0
|
|
|
784 |
dx2 = dlon2 * cos(pi180*0.5*(lat2+lat1))
|
|
|
785 |
dy2 = lat2 - lat1
|
|
|
786 |
|
|
|
787 |
norm = sqrt( (dx1**2 + dy1**2) * (dx2**2 + dy2**2) )
|
|
|
788 |
|
|
|
789 |
if ( norm.gt.eps ) then
|
|
|
790 |
cross = ( dx1 * dy2 - dy1 * dx2 ) / norm
|
|
|
791 |
if ( cross.ge.1. ) then
|
|
|
792 |
dangle = 90.
|
|
|
793 |
elseif (cross.le.-1.) then
|
|
|
794 |
dangle = -90.
|
|
|
795 |
else
|
|
|
796 |
dangle = 1./pi180 * asin( cross )
|
|
|
797 |
endif
|
|
|
798 |
else
|
|
|
799 |
dangle = -999.
|
|
|
800 |
endif
|
|
|
801 |
|
|
|
802 |
end
|
|
|
803 |
|
|
|
804 |
c
|
|
|
805 |
c *************************************************************************
|
|
|
806 |
c Auxiliary subroutines and functions
|
|
|
807 |
c *************************************************************************
|
|
|
808 |
|
|
|
809 |
c -------------------------------------------------------------------------
|
|
|
810 |
c Saturation vapor pressure over water
|
|
|
811 |
c -------------------------------------------------------------------------
|
|
|
812 |
|
|
|
813 |
real function esat(t)
|
|
|
814 |
|
|
|
815 |
C This function returns the saturation vapor pressure over water
|
|
|
816 |
c (mb) given the temperature (Kelvin).
|
|
|
817 |
C The algorithm is due to Nordquist, W. S. ,1973: "Numerical
|
|
|
818 |
C Approximations of Selected Meteorological Parameters for Cloud
|
|
|
819 |
C Physics Problems" ECOM-5475, Atmospheric Sciences Laboratory,
|
|
|
820 |
c U. S. Army Electronics Command, White Sands Missile Range,
|
|
|
821 |
c New Mexico 88002.
|
|
|
822 |
|
|
|
823 |
real p1,p2,c1,t
|
|
|
824 |
|
|
|
825 |
p1=11.344-0.0303998*t
|
|
|
826 |
p2=3.49149-1302.8844/t
|
|
|
827 |
c1=23.832241-5.02808*log10(t)
|
|
|
828 |
esat=10.**(c1-1.3816e-7*10.**p1+8.1328e-3*10.**p2-2949.076/t)
|
|
|
829 |
|
|
|
830 |
end
|
|
|
831 |
|
|
|
832 |
c --------------------------------------------------------------------------
|
|
|
833 |
c Angle between two vectors
|
|
|
834 |
c --------------------------------------------------------------------------
|
|
|
835 |
|
|
|
836 |
SUBROUTINE getangle (ux1,uy1,ux2,uy2,angle)
|
|
|
837 |
|
|
|
838 |
c Given two vectors <ux1,uy1> and <ux2,uy2>, determine the angle (in deg)
|
|
|
839 |
c between the two vectors.
|
|
|
840 |
|
|
|
841 |
implicit none
|
|
|
842 |
|
|
|
843 |
c Declaration of subroutine parameters
|
|
|
844 |
real ux1,uy1
|
|
|
845 |
real ux2,uy2
|
|
|
846 |
real angle
|
|
|
847 |
|
|
|
848 |
c Auxiliary variables and parameters
|
|
|
849 |
real len1,len2,len3
|
|
|
850 |
real val1,val2,val3
|
|
|
851 |
real vx1,vy1
|
|
|
852 |
real vx2,vy2
|
|
|
853 |
real pi
|
|
|
854 |
parameter (pi=3.14159265359)
|
|
|
855 |
|
|
|
856 |
vx1 = ux1
|
|
|
857 |
vx2 = ux2
|
|
|
858 |
vy1 = uy1
|
|
|
859 |
vy2 = uy2
|
|
|
860 |
|
|
|
861 |
len1=sqrt(vx1*vx1+vy1*vy1)
|
|
|
862 |
len2=sqrt(vx2*vx2+vy2*vy2)
|
|
|
863 |
|
|
|
864 |
if ((len1.gt.0.).and.(len2.gt.0.)) then
|
|
|
865 |
vx1=vx1/len1
|
|
|
866 |
vy1=vy1/len1
|
|
|
867 |
vx2=vx2/len2
|
|
|
868 |
vy2=vy2/len2
|
|
|
869 |
|
|
|
870 |
val1=vx1*vx2+vy1*vy2
|
|
|
871 |
val2=-vy1*vx2+vx1*vy2
|
|
|
872 |
|
|
|
873 |
len3=sqrt(val1*val1+val2*val2)
|
|
|
874 |
|
|
|
875 |
if ( (val1.ge.0.).and.(val2.ge.0.) ) then
|
|
|
876 |
val3=acos(val1/len3)
|
|
|
877 |
else if ( (val1.lt.0.).and.(val2.ge.0.) ) then
|
|
|
878 |
val3=pi-acos(abs(val1)/len3)
|
|
|
879 |
else if ( (val1.ge.0.).and.(val2.le.0.) ) then
|
|
|
880 |
val3=-acos(val1/len3)
|
|
|
881 |
else if ( (val1.lt.0.).and.(val2.le.0.) ) then
|
|
|
882 |
val3=-pi+acos(abs(val1)/len3)
|
|
|
883 |
endif
|
|
|
884 |
else
|
|
|
885 |
val3=0.
|
|
|
886 |
endif
|
|
|
887 |
|
|
|
888 |
angle=180./pi*val3
|
|
|
889 |
|
|
|
890 |
END
|
|
|
891 |
|
|
|
892 |
|
|
|
893 |
c --------------------------------------------------------------------------
|
|
|
894 |
c Spherical distance between lat/lon points
|
|
|
895 |
c --------------------------------------------------------------------------
|
|
|
896 |
|
|
|
897 |
real function sdis(xp,yp,xq,yq)
|
|
|
898 |
c
|
|
|
899 |
c calculates spherical distance (in km) between two points given
|
|
|
900 |
c by their spherical coordinates (xp,yp) and (xq,yq), respectively.
|
|
|
901 |
c
|
|
|
902 |
real re
|
|
|
903 |
parameter (re=6370.)
|
|
|
904 |
real pi180
|
|
|
905 |
parameter (pi180=3.14159/180.)
|
|
|
906 |
real xp,yp,xq,yq,arg
|
|
|
907 |
|
|
|
908 |
arg=sin(pi180*yp)*sin(pi180*yq)+
|
|
|
909 |
> cos(pi180*yp)*cos(pi180*yq)*cos(pi180*(xp-xq))
|
|
|
910 |
if (arg.lt.-1.) arg=-1.
|
|
|
911 |
if (arg.gt.1.) arg=1.
|
|
|
912 |
|
|
|
913 |
sdis=re*acos(arg)
|
|
|
914 |
|
|
|
915 |
end
|
|
|
916 |
|