1 |
molod |
1.3 |
C $Header: /u/gcmpack/MITgcm/pkg/fizhi/fizhi_gwdrag.F,v 1.2 2005/05/21 23:50:13 molod Exp $ |
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molod |
1.1 |
C $Name: $ |
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#include "FIZHI_OPTIONS.h" |
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subroutine gwdrag (myid,pz,pl,ple,dpres,pkz,uz,vz,tz,qz,phis_var, |
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. dudt,dvdt,dtdt,im,jm,lm,bi,bj,istrip,npcs,imglobal) |
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C*********************************************************************** |
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C |
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C PURPOSE: |
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C ======== |
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C Driver Routine for Gravity Wave Drag |
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C |
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C INPUT: |
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C ====== |
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C myid ....... Process ID |
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C pz ....... Surface Pressure [im,jm] |
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C pl ....... 3D pressure field [im,jm,lm] |
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C ple ....... 3d pressure at model level edges [im,jm,lm+1] |
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C dpres ....... pressure difference across level [im,jm,lm] |
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C pkz ....... pressure**kappa [im,jm,lm] |
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C uz ....... zonal velocity [im,jm,lm] |
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C vz ....... meridional velocity [im,jm,lm] |
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C tz ....... temperature [im,jm,lm] |
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C qz ....... specific humidity [im,jm,lm] |
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C phis_var .... topography variance |
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C im ....... number of grid points in x direction |
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C jm ....... number of grid points in y direction |
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C lm ....... number of grid points in vertical |
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C istrip ...... 'strip' length for cache size control |
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C npcs ....... number of strips |
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C imglobal .... (avg) number of longitude points around the globe |
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C |
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C INPUT/OUTPUT: |
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C ============ |
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C dudt ....... Updated U-Wind Tendency including Gravity Wave Drag |
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C dvdt ....... Updated V-Wind Tendency including Gravity Wave Drag |
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C dtdt ....... Updated Pi*Theta Tendency including Gravity Wave Drag |
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C |
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C*********************************************************************** |
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implicit none |
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c Input Variables |
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c --------------- |
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integer myid,im,jm,lm,bi,bj,istrip,npcs,imglobal |
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molod |
1.2 |
_RL pz(im,jm) |
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_RL pl(im,jm,lm) |
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_RL ple(im,jm,lm+1) |
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_RL dpres(im,jm,lm) |
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_RL pkz(im,jm,lm) |
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_RL uz(im,jm,lm) |
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_RL vz(im,jm,lm) |
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_RL tz(im,jm,lm) |
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_RL qz(im,jm,lm) |
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_RL phis_var(im,jm) |
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_RL dudt(im,jm,lm) |
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_RL dvdt(im,jm,lm) |
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_RL dtdt(im,jm,lm) |
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molod |
1.1 |
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c Local Variables |
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c --------------- |
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molod |
1.2 |
_RL tv(im,jm,lm) |
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_RL dragu(im,jm,lm), dragv(im,jm,lm) |
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_RL dragt(im,jm,lm) |
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_RL dragx(im,jm), dragy(im,jm) |
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_RL sumu(im,jm) |
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molod |
1.1 |
integer nthin(im,jm),nbase(im,jm) |
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integer nthini, nbasei |
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molod |
1.2 |
_RL phis_std(im,jm) |
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molod |
1.1 |
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molod |
1.2 |
_RL std(istrip), ps(istrip) |
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_RL us(istrip,lm), vs(istrip,lm), ts(istrip,lm) |
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_RL dragus(istrip,lm), dragvs(istrip,lm) |
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_RL dragxs(istrip), dragys(istrip) |
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_RL plstr(istrip,lm),plestr(istrip,lm),dpresstr(istrip,lm) |
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molod |
1.1 |
integer nthinstr(istrip),nbasestr(istrip) |
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integer n,i,j,L |
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molod |
1.2 |
_RL getcon, pi |
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_RL grav, rgas, cp, cpinv, lstar |
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#ifdef ALLOW_DIAGNOSTICS |
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logical diagnostics_is_on |
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external diagnostics_is_on |
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_RL tmpdiag(im,jm) |
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#endif |
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molod |
1.1 |
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molod |
1.3 |
return |
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molod |
1.1 |
c Initialization |
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c -------------- |
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pi = 4.0*atan(1.0) |
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grav = getcon('GRAVITY') |
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rgas = getcon('RGAS') |
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cp = getcon('CP') |
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cpinv = 1.0/cp |
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lstar = 2*getcon('EARTH RADIUS')*cos(pi/3.0)/imglobal |
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c Compute NTHIN and NBASE |
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c ----------------------- |
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do j=1,jm |
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do i=1,im |
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do nthini = 1,lm+1 |
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if( 1000.0-ple(i,j,lm+2-nthini).gt.25. ) then |
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nthin(i,j) = nthini |
106 |
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goto 10 |
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endif |
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enddo |
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10 continue |
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do nbasei = 1,lm+1 |
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if( ple(i,j,lm+2-nbasei).lt.666.7 ) then |
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nbase(i,j) = nbasei |
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goto 20 |
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endif |
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enddo |
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20 continue |
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if( 666.7-ple(i,j,lm+2-nbase(i,j)) .gt. |
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. ple(i,j,lm+3-nbase(i,j))-666.7 ) then |
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nbase(i,j) = nbase(i,j)-1 |
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endif |
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122 |
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enddo |
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enddo |
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c Compute Topography Sub-Grid Standard Deviation |
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c ---------------------------------------------- |
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do j=1,jm |
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do i=1,im |
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phis_std(i,j) = min( 400.0, sqrt( max(0.0,phis_var(i,j)) )/grav ) |
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enddo |
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enddo |
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c Compute Virtual Temperatures |
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c ---------------------------- |
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do L = 1,lm |
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do j = 1,jm |
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do i = 1,im |
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tv(i,j,L) = tz(i,j,L)*pkz(i,j,L)*(1.+.609*qz(i,j,L)) |
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enddo |
139 |
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enddo |
140 |
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enddo |
141 |
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142 |
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c Call Gravity Wave Drag Paramterization on A-Grid |
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c ------------------------------------------------ |
144 |
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145 |
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do n=1,npcs |
146 |
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147 |
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call strip ( phis_std,std,im*jm,istrip,1,n ) |
148 |
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149 |
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call strip ( pz,ps,im*jm,istrip,1 ,n ) |
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call strip ( uz,us,im*jm,istrip,lm,n ) |
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call strip ( vz,vs,im*jm,istrip,lm,n ) |
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call strip ( tv,ts,im*jm,istrip,lm,n ) |
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call strip ( pl,plstr,im*jm,istrip,lm,n ) |
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call strip ( ple,plestr,im*jm,istrip,lm,n ) |
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call strip ( dpres,dpresstr,im*jm,istrip,lm,n ) |
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call stripint ( nthin,nthinstr,im*jm,istrip,lm,n ) |
157 |
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call stripint ( nbase,nbasestr,im*jm,istrip,lm,n ) |
158 |
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159 |
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call GWDD ( ps,us,vs,ts, |
160 |
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. dragus,dragvs,dragxs,dragys,std, |
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. plstr,plestr,dpresstr,grav,rgas,cp, |
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. istrip,lm,nthinstr,nbasestr,lstar ) |
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164 |
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call paste ( dragus,dragu,istrip,im*jm,lm,n ) |
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call paste ( dragvs,dragv,istrip,im*jm,lm,n ) |
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call paste ( dragxs,dragx,istrip,im*jm,1 ,n ) |
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call paste ( dragys,dragy,istrip,im*jm,1 ,n ) |
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169 |
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enddo |
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171 |
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c Add Gravity-Wave Drag to Wind and Theta Tendencies |
172 |
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c -------------------------------------------------- |
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do L = 1,lm |
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do j = 1,jm |
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do i = 1,im |
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dragu(i,j,L) = sign( min(0.006,abs(dragu(i,j,L))),dragu(i,j,L) ) |
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dragv(i,j,L) = sign( min(0.006,abs(dragv(i,j,L))),dragv(i,j,L) ) |
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dragt(i,j,L) = -( uz(i,j,L)*dragu(i,j,L)+vz(i,j,L)*dragv(i,j,L) ) |
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. *cpinv |
180 |
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dudt(i,j,L) = dudt(i,j,L) + dragu(i,j,L) |
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dvdt(i,j,L) = dvdt(i,j,L) + dragv(i,j,L) |
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dtdt(i,j,L) = dtdt(i,j,L) + dragt(i,j,L)*pz(i,j)/pkz(i,j,L) |
183 |
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enddo |
184 |
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enddo |
185 |
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enddo |
186 |
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187 |
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c Compute Diagnostics |
188 |
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c ------------------- |
189 |
molod |
1.2 |
#ifdef ALLOW_DIAGNOSTICS |
190 |
molod |
1.1 |
do L = 1,lm |
191 |
molod |
1.2 |
|
192 |
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if(diagnostics_is_on('GWDU ',myid) ) then |
193 |
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do j=1,jm |
194 |
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do i=1,im |
195 |
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tmpdiag(i,j) = dragu(i,j,L)*86400 |
196 |
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enddo |
197 |
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enddo |
198 |
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call diagnostics_fill(tmpdiag,'GWDU ',L,1,3,bi,bj,myid) |
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endif |
200 |
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201 |
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if(diagnostics_is_on('GWDV ',myid) ) then |
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do j=1,jm |
203 |
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do i=1,im |
204 |
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tmpdiag(i,j) = dragv(i,j,L)*86400 |
205 |
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enddo |
206 |
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enddo |
207 |
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call diagnostics_fill(tmpdiag,'GWDV ',L,1,3,bi,bj,myid) |
208 |
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endif |
209 |
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210 |
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if(diagnostics_is_on('GWDT ',myid) ) then |
211 |
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do j=1,jm |
212 |
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do i=1,im |
213 |
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tmpdiag(i,j) = dragt(i,j,L)*86400 |
214 |
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enddo |
215 |
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enddo |
216 |
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call diagnostics_fill(tmpdiag,'GWDT ',L,1,3,bi,bj,myid) |
217 |
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endif |
218 |
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219 |
molod |
1.1 |
enddo |
220 |
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221 |
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c Gravity Wave Drag at Surface (U-Wind) |
222 |
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c ------------------------------------- |
223 |
molod |
1.2 |
if(diagnostics_is_on('GWDUS ',myid) ) then |
224 |
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call diagnostics_fill(dragx,'GWDUS ',0,1,3,bi,bj,myid) |
225 |
molod |
1.1 |
endif |
226 |
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227 |
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c Gravity Wave Drag at Surface (V-Wind) |
228 |
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c ------------------------------------- |
229 |
molod |
1.2 |
if(diagnostics_is_on('GWDVS ',myid) ) then |
230 |
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call diagnostics_fill(dragy,'GWDVS ',0,1,3,bi,bj,myid) |
231 |
molod |
1.1 |
endif |
232 |
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233 |
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c Gravity Wave Drag at Model Top (U-Wind) |
234 |
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c --------------------------------------- |
235 |
molod |
1.2 |
if(diagnostics_is_on('GWDUT ',myid) ) then |
236 |
molod |
1.1 |
do j = 1,jm |
237 |
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do i = 1,im |
238 |
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sumu(i,j) = 0.0 |
239 |
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enddo |
240 |
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enddo |
241 |
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do L = 1,lm |
242 |
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do j = 1,jm |
243 |
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do i = 1,im |
244 |
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sumu(i,j) = sumu(i,j) + dragu(i,j,L)*dpres(i,j,L)/pz(i,j) |
245 |
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enddo |
246 |
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enddo |
247 |
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enddo |
248 |
molod |
1.2 |
do j=1,jm |
249 |
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do i=1,im |
250 |
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tmpdiag(i,j) = dragx(i,j) + sumu(i,j)*pz(i,j)/grav*100 |
251 |
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enddo |
252 |
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enddo |
253 |
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call diagnostics_fill(tmpdiag,'GWDUT ',0,1,3,bi,bj,myid) |
254 |
molod |
1.1 |
endif |
255 |
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256 |
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c Gravity Wave Drag at Model Top (V-Wind) |
257 |
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c --------------------------------------- |
258 |
molod |
1.2 |
if(diagnostics_is_on('GWDVT ',myid) ) then |
259 |
molod |
1.1 |
do j = 1,jm |
260 |
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do i = 1,im |
261 |
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sumu(i,j) = 0.0 |
262 |
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enddo |
263 |
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enddo |
264 |
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do L = 1,lm |
265 |
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do j = 1,jm |
266 |
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do i = 1,im |
267 |
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sumu(i,j) = sumu(i,j) + dragv(i,j,L)*dpres(i,j,L)/pz(i,j) |
268 |
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enddo |
269 |
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enddo |
270 |
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enddo |
271 |
molod |
1.2 |
do j=1,jm |
272 |
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do i=1,im |
273 |
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tmpdiag(i,j) = dragy(i,j) + sumu(i,j)*pz(i,j)/grav*100 |
274 |
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enddo |
275 |
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enddo |
276 |
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call diagnostics_fill(tmpdiag,'GWDVT ',0,1,3,bi,bj,myid) |
277 |
molod |
1.1 |
endif |
278 |
molod |
1.2 |
#endif |
279 |
molod |
1.1 |
|
280 |
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return |
281 |
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end |
282 |
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SUBROUTINE GWDD ( ps,u,v,t,dudt,dvdt,xdrag,ydrag, |
283 |
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. std,pl,ple,dpres, |
284 |
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. grav,rgas,cp,irun,lm,nthin,nbase,lstar ) |
285 |
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C*********************************************************************** |
286 |
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C |
287 |
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C Description: |
288 |
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C ============ |
289 |
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C Parameterization to introduce a Gravity Wave Drag |
290 |
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C due to sub-grid scale orographic forcing |
291 |
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C |
292 |
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C Input: |
293 |
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C ====== |
294 |
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C ps ......... Surface Pressure |
295 |
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C u .......... Zonal Wind (m/sec) |
296 |
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C v .......... Meridional Wind (m/sec) |
297 |
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C t .......... Virtual Temperature (deg K) |
298 |
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C std ........ Standard Deviation of sub-grid Orography (m) |
299 |
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C ple ....... Model pressure Edge Values |
300 |
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C pl ........ Model pressure Values |
301 |
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C dpres....... Model Delta pressure Values |
302 |
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C grav ....... Gravitational constant (m/sec**2) |
303 |
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C rgas ....... Gas constant |
304 |
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C cp ......... Specific Heat at constant pressure |
305 |
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C irun ....... Number of grid-points in horizontal dimension |
306 |
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C lm ......... Number of grid-points in vertical dimension |
307 |
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C lstar ...... Monochromatic Wavelength/(2*pi) |
308 |
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C |
309 |
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C Output: |
310 |
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C ======= |
311 |
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C dudt ....... Zonal Acceleration due to GW Drag (m/sec**2) |
312 |
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C dvdt ....... Meridional Acceleration due to GW Drag (m/sec**2) |
313 |
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C xdrag ...... Zonal Surface and Base Layer Stress (Pa) |
314 |
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C ydrag ...... Meridional Surface and Base Layer Stress (Pa) |
315 |
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C |
316 |
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C*********************************************************************** |
317 |
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318 |
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implicit none |
319 |
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|
320 |
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c Input Variables |
321 |
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c --------------- |
322 |
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integer irun,lm |
323 |
molod |
1.2 |
_RL ps(irun) |
324 |
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_RL u(irun,lm), v(irun,lm), t(irun,lm) |
325 |
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_RL dudt(irun,lm), dvdt(irun,lm) |
326 |
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_RL xdrag(irun), ydrag(irun) |
327 |
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_RL std(irun) |
328 |
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_RL ple(irun,lm+1), pl(irun,lm), dpres(irun,lm) |
329 |
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_RL grav, rgas, cp |
330 |
molod |
1.1 |
integer nthin(irun),nbase(irun) |
331 |
molod |
1.2 |
_RL lstar |
332 |
molod |
1.1 |
|
333 |
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c Dynamic Allocation Variables |
334 |
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c ---------------------------- |
335 |
molod |
1.2 |
_RL ubar(irun), vbar(irun), robar(irun) |
336 |
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_RL speed(irun), ang(irun) |
337 |
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_RL bv(irun,lm) |
338 |
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_RL nbar(irun) |
339 |
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340 |
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_RL tstd(irun) |
341 |
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_RL XTENS(irun,lm+1), YTENS(irun,lm+1) |
342 |
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_RL TENSIO(irun,lm+1) |
343 |
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_RL DRAGSF(irun) |
344 |
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_RL RO(irun,lm), DZ(irun,lm) |
345 |
molod |
1.1 |
|
346 |
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integer icrilv(irun) |
347 |
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348 |
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c Local Variables |
349 |
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c --------------- |
350 |
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integer i,l |
351 |
molod |
1.2 |
_RL a,g,stdmax,agrav,akwnmb |
352 |
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_RL gocp,roave,roiave,frsf,gstar,vai1,vai2 |
353 |
|
|
_RL vaisd,velco,deluu,delvv,delve2,delz,vsqua |
354 |
|
|
_RL richsn,crifro,crif2,fro2,coef |
355 |
molod |
1.1 |
|
356 |
|
|
c Initialization |
357 |
|
|
c -------------- |
358 |
|
|
a = 1.0 |
359 |
|
|
g = 1.0 |
360 |
|
|
agrav = 1.0/GRAV |
361 |
|
|
akwnmb = 1.0/lstar |
362 |
|
|
gocp = GRAV/CP |
363 |
|
|
|
364 |
|
|
c Constrain the Maximum Value of the Standard Deviation |
365 |
|
|
c ----------------------------------------------------- |
366 |
|
|
stdmax = 400. |
367 |
|
|
do i = 1,irun |
368 |
|
|
tstd(i) = std(i) |
369 |
|
|
if( std(i).gt.stdmax ) tstd(i) = stdmax |
370 |
|
|
enddo |
371 |
|
|
|
372 |
|
|
c Compute Atmospheric Density |
373 |
|
|
c --------------------------- |
374 |
|
|
do l = 1,lm |
375 |
|
|
do i = 1,irun |
376 |
|
|
ro(i,l) = pl(i,l)/(rgas*t(i,lm+1-l)) |
377 |
|
|
enddo |
378 |
|
|
enddo |
379 |
|
|
|
380 |
|
|
c Compute Layer Thicknesses |
381 |
|
|
c ------------------------- |
382 |
|
|
do l = 2,lm |
383 |
|
|
do i = 1,irun |
384 |
|
|
roiave = ( 1./ro(i,l-1) + 1./ro(i,l) )*0.5 |
385 |
|
|
dz(i,l) = agrav*roiave*( pl(i,l-1)-pl(i,l) ) |
386 |
|
|
enddo |
387 |
|
|
enddo |
388 |
|
|
|
389 |
|
|
|
390 |
|
|
c****************************************************** |
391 |
|
|
c Surface and Base Layer Stress * |
392 |
|
|
c****************************************************** |
393 |
|
|
|
394 |
|
|
c Definition of Surface Wind Vector |
395 |
|
|
c --------------------------------- |
396 |
|
|
do i = 1,irun |
397 |
|
|
robar(i) = 0.0 |
398 |
|
|
ubar(i) = 0.0 |
399 |
|
|
vbar(i) = 0.0 |
400 |
|
|
enddo |
401 |
|
|
|
402 |
|
|
do i = 1,irun |
403 |
|
|
do L = 1,nbase(i)-1 |
404 |
|
|
robar(i) = robar(i) + ro(i,L) *(ple(i,L)-ple(i,L+1)) |
405 |
|
|
ubar(i) = ubar(i) + u(i,lm+1-L)*(ple(i,L)-ple(i,L+1)) |
406 |
|
|
vbar(i) = vbar(i) + v(i,lm+1-L)*(ple(i,L)-ple(i,L+1)) |
407 |
|
|
enddo |
408 |
|
|
enddo |
409 |
|
|
|
410 |
|
|
do i = 1,irun |
411 |
|
|
robar(i) = robar(i)/(ple(i,1)-ple(i,nbase(i))) * 100.0 |
412 |
|
|
ubar(i) = ubar(i)/(ple(i,1)-ple(i,nbase(i))) |
413 |
|
|
vbar(i) = vbar(i)/(ple(i,1)-ple(i,nbase(i))) |
414 |
|
|
|
415 |
|
|
speed(i) = SQRT( ubar(i)*ubar(i) + vbar(i)*vbar(i) ) |
416 |
|
|
ang(i) = ATAN2(vbar(i),ubar(i)) |
417 |
|
|
|
418 |
|
|
enddo |
419 |
|
|
|
420 |
|
|
c Brunt Vaisala Frequency |
421 |
|
|
c ----------------------- |
422 |
|
|
do i = 1,irun |
423 |
|
|
do l = 2,nbase(i) |
424 |
|
|
VAI1 = (T(i,lm+1-l)-T(i,lm+2-l))/DZ(i,l)+GOCP |
425 |
|
|
if( VAI1.LT.0.0 ) then |
426 |
|
|
VAI1 = 0.0 |
427 |
|
|
endif |
428 |
|
|
VAI2 = 2.0*GRAV/( T(i,lm+1-l)+T(i,lm+2-l) ) |
429 |
|
|
VSQUA = VAI1*VAI2 |
430 |
|
|
BV(i,l) = SQRT(VSQUA) |
431 |
|
|
enddo |
432 |
|
|
enddo |
433 |
|
|
|
434 |
|
|
c Stress at the Surface Level |
435 |
|
|
c --------------------------- |
436 |
|
|
do i = 1,irun |
437 |
|
|
nbar(i) = 0.0 |
438 |
|
|
enddo |
439 |
|
|
do i = 1,irun |
440 |
|
|
do l = 2,nbase(i) |
441 |
|
|
NBAR(i) = NBAR(i) + BV(i,l)*(pl(i,l-1)-pl(i,l)) |
442 |
|
|
enddo |
443 |
|
|
enddo |
444 |
|
|
|
445 |
|
|
do i = 1,irun |
446 |
|
|
NBAR(i) = NBAR(i)/(pl(i,1)-pl(i,nbase(i))) |
447 |
|
|
FRSF = NBAR(i)*tstd(i)/speed(i) |
448 |
|
|
|
449 |
|
|
if( speed(i).eq.0.0 .or. nbar(i).eq.0.0 ) then |
450 |
|
|
TENSIO(i,1) = 0.0 |
451 |
|
|
else |
452 |
|
|
GSTAR = G*FRSF*FRSF/(FRSF*FRSF+A*A) |
453 |
|
|
TENSIO(i,1) = GSTAR*(ROBAR(i)*speed(i)*speed(i)*speed(i)) |
454 |
|
|
. / (NBAR(i)*LSTAR) |
455 |
|
|
endif |
456 |
|
|
|
457 |
|
|
XTENS(i,1) = TENSIO(i,1) * cos(ang(i)) |
458 |
|
|
YTENS(i,1) = TENSIO(i,1) * sin(ang(i)) |
459 |
|
|
DRAGSF(i) = TENSIO(i,1) |
460 |
|
|
XDRAG(i) = XTENS(i,1) |
461 |
|
|
YDRAG(i) = YTENS(i,1) |
462 |
|
|
enddo |
463 |
|
|
|
464 |
|
|
c Check for Very thin lowest layer |
465 |
|
|
c -------------------------------- |
466 |
|
|
do i = 1,irun |
467 |
|
|
if( NTHIN(i).gt.1 ) then |
468 |
|
|
do l = 1,nthin(i) |
469 |
|
|
TENSIO(i,l) = TENSIO(i,1) |
470 |
|
|
XTENS(i,l) = XTENS(i,1) |
471 |
|
|
YTENS(i,l) = YTENS(i,1) |
472 |
|
|
enddo |
473 |
|
|
endif |
474 |
|
|
enddo |
475 |
|
|
|
476 |
|
|
c****************************************************** |
477 |
|
|
c Compute Gravity Wave Stress from NTHIN+1 to NBASE * |
478 |
|
|
c****************************************************** |
479 |
|
|
|
480 |
|
|
do i = 1,irun |
481 |
|
|
do l = nthin(i)+1,nbase(i) |
482 |
|
|
|
483 |
|
|
velco = 0.5*( (u(i,lm+1-l)*ubar(i) + v(i,lm+1-l)*vbar(i)) |
484 |
|
|
. + (u(i,lm+2-l)*ubar(i) + v(i,lm+2-l)*vbar(i)) ) |
485 |
|
|
. / speed(i) |
486 |
|
|
|
487 |
|
|
C Convert to Newton/m**2 |
488 |
|
|
roave = 0.5*(ro(i,l-1)+ro(i,l)) * 100.0 |
489 |
|
|
|
490 |
|
|
if( VELCO.le.0.0 ) then |
491 |
|
|
TENSIO(i,l) = TENSIO(i,l-1) |
492 |
|
|
goto 1500 |
493 |
|
|
endif |
494 |
|
|
|
495 |
|
|
c Froude number squared |
496 |
|
|
c --------------------- |
497 |
|
|
FRO2 = bv(i,l)/(AKWNMB*ROAVE*VELCO*VELCO*VELCO)*TENSIO(i,l-1) |
498 |
|
|
DELUU = u(i,lm+1-l)-u(i,lm+2-l) |
499 |
|
|
DELVV = v(i,lm+1-l)-v(i,lm+2-l) |
500 |
|
|
DELVE2 = ( DELUU*DELUU + DELVV*DELVV ) |
501 |
|
|
|
502 |
|
|
c Compute Richarson Number |
503 |
|
|
c ------------------------ |
504 |
|
|
if( DELVE2.ne.0.0 ) then |
505 |
|
|
DELZ = DZ(i,l) |
506 |
|
|
VSQUA = BV(i,l)*BV(i,l) |
507 |
|
|
RICHSN = DELZ*DELZ*VSQUA/DELVE2 |
508 |
|
|
else |
509 |
|
|
RICHSN = 99999.0 |
510 |
|
|
endif |
511 |
|
|
|
512 |
|
|
if( RICHSN.le.0.25 ) then |
513 |
|
|
TENSIO(i,l) = TENSIO(i,l-1) |
514 |
|
|
goto 1500 |
515 |
|
|
endif |
516 |
|
|
|
517 |
|
|
c Stress in the Base Layer changes if the local Froude number |
518 |
|
|
c exceeds the Critical Froude number |
519 |
|
|
c ---------------------------------- |
520 |
|
|
CRIFRO = 1.0 - 0.25/RICHSN |
521 |
|
|
CRIF2 = CRIFRO*CRIFRO |
522 |
|
|
if( l.eq.2 ) CRIF2 = MIN(0.7,CRIF2) |
523 |
|
|
|
524 |
|
|
if( FRO2.gt.CRIF2 ) then |
525 |
|
|
TENSIO(i,l) = CRIF2/FRO2*TENSIO(i,l-1) |
526 |
|
|
else |
527 |
|
|
TENSIO(i,l) = TENSIO(i,l-1) |
528 |
|
|
endif |
529 |
|
|
|
530 |
|
|
1500 CONTINUE |
531 |
|
|
XTENS(i,l) = TENSIO(i,l)*COS(ang(i)) |
532 |
|
|
YTENS(i,l) = TENSIO(i,l)*SIN(ang(i)) |
533 |
|
|
|
534 |
|
|
enddo |
535 |
|
|
enddo |
536 |
|
|
|
537 |
|
|
c****************************************************** |
538 |
|
|
c Compute Gravity Wave Stress from Base+1 to Top * |
539 |
|
|
c****************************************************** |
540 |
|
|
|
541 |
|
|
do i = 1,irun |
542 |
|
|
icrilv(i) = 0 |
543 |
|
|
enddo |
544 |
|
|
|
545 |
|
|
do i = 1,irun |
546 |
|
|
do l = nbase(i)+1,lm+1 |
547 |
|
|
|
548 |
|
|
TENSIO(i,l) = 0.0 |
549 |
|
|
|
550 |
|
|
c Check for Critical Level Absorption |
551 |
|
|
c ----------------------------------- |
552 |
|
|
if( icrilv(i).eq.1 ) goto 130 |
553 |
|
|
|
554 |
|
|
c Let Remaining Stress escape out the top edge of model |
555 |
|
|
c ----------------------------------------------------- |
556 |
|
|
if( l.eq.lm+1 ) then |
557 |
|
|
TENSIO(i,l) = TENSIO(i,l-1) |
558 |
|
|
goto 130 |
559 |
|
|
endif |
560 |
|
|
|
561 |
|
|
ROAVE = 0.5*(ro(i,l-1)+ro(i,l)) * 100.0 |
562 |
|
|
VAI1 = (T(i,lm+1-l)-T(i,lm+2-l))/DZ(i,l)+GOCP |
563 |
|
|
|
564 |
|
|
if( VAI1.lt.0.0 ) then |
565 |
|
|
icrilv(i) = 1 |
566 |
|
|
TENSIO(i,l) = 0.0 |
567 |
|
|
goto 130 |
568 |
|
|
endif |
569 |
|
|
|
570 |
|
|
VAI2 = 2.0*GRAV/(T(i,lm+1-l)+T(i,lm+2-l)) |
571 |
|
|
VSQUA = VAI1*VAI2 |
572 |
|
|
VAISD = SQRT(VSQUA) |
573 |
|
|
|
574 |
|
|
velco = 0.5*( (u(i,lm+1-l)*ubar(i) + v(i,lm+1-l)*vbar(i)) |
575 |
|
|
. + (u(i,lm+2-l)*ubar(i) + v(i,lm+2-l)*vbar(i)) ) |
576 |
|
|
. / speed(i) |
577 |
|
|
|
578 |
|
|
if( velco.lt.0.0 ) then |
579 |
|
|
icrilv(i) = 1 |
580 |
|
|
TENSIO(i,l) = 0.0 |
581 |
|
|
goto 130 |
582 |
|
|
endif |
583 |
|
|
|
584 |
|
|
c Froude number squared |
585 |
|
|
c --------------------- |
586 |
|
|
FRO2 = vaisd/(AKWNMB*ROAVE*VELCO*VELCO*VELCO)*TENSIO(i,l-1) |
587 |
|
|
DELUU = u(i,lm+1-l)-u(i,lm+2-l) |
588 |
|
|
DELVV = v(i,lm+1-l)-v(i,lm+2-l) |
589 |
|
|
DELVE2 = ( DELUU*DELUU + DELVV*DELVV ) |
590 |
|
|
|
591 |
|
|
c Compute Richarson Number |
592 |
|
|
c ------------------------ |
593 |
|
|
if( DELVE2.ne.0.0 ) then |
594 |
|
|
DELZ = DZ(i,l) |
595 |
|
|
RICHSN = DELZ*DELZ*VSQUA/DELVE2 |
596 |
|
|
else |
597 |
|
|
RICHSN = 99999.0 |
598 |
|
|
endif |
599 |
|
|
|
600 |
|
|
if( RICHSN.le.0.25 ) then |
601 |
|
|
TENSIO(i,l) = 0.0 |
602 |
|
|
icrilv(i) = 1 |
603 |
|
|
goto 130 |
604 |
|
|
endif |
605 |
|
|
|
606 |
|
|
c Stress in Layer changes if the local Froude number |
607 |
|
|
c exceeds the Critical Froude number |
608 |
|
|
c ---------------------------------- |
609 |
|
|
CRIFRO = 1.0 - 0.25/RICHSN |
610 |
|
|
CRIF2 = CRIFRO*CRIFRO |
611 |
|
|
|
612 |
|
|
if( FRO2.ge.CRIF2 ) then |
613 |
|
|
TENSIO(i,l) = CRIF2/FRO2*TENSIO(i,l-1) |
614 |
|
|
else |
615 |
|
|
TENSIO(i,l) = TENSIO(i,l-1) |
616 |
|
|
endif |
617 |
|
|
|
618 |
|
|
130 continue |
619 |
|
|
XTENS(i,l) = TENSIO(i,l)*COS(ang(i)) |
620 |
|
|
YTENS(i,l) = TENSIO(i,l)*SIN(ang(i)) |
621 |
|
|
enddo |
622 |
|
|
enddo |
623 |
|
|
|
624 |
|
|
C ****************************************************** |
625 |
|
|
C MOMENTUM CHANGE FOR FREE ATMOSPHERE * |
626 |
|
|
C ****************************************************** |
627 |
|
|
|
628 |
|
|
do i = 1,irun |
629 |
|
|
do l = nthin(i)+1,lm |
630 |
|
|
coef = -grav*ple(i,lm+1)/dpres(i,lm+1-l) |
631 |
|
|
dudt(i,lm+1-l) = coef*(XTENS(i,l+1)-XTENS(i,l)) |
632 |
|
|
dvdt(i,lm+1-l) = coef*(YTENS(i,l+1)-YTENS(i,l)) |
633 |
|
|
enddo |
634 |
|
|
enddo |
635 |
|
|
|
636 |
|
|
c Momentum change near the surface |
637 |
|
|
c -------------------------------- |
638 |
|
|
do i = 1,irun |
639 |
|
|
coef = grav*ple(i,lm+1)/(ple(i,lm+1-nthin(i))-ple(i,lm+1)) |
640 |
|
|
dudt(i,lm) = coef*(XTENS(i,nthin(i)+1)-XTENS(i,1)) |
641 |
|
|
dvdt(i,lm) = coef*(YTENS(i,nthin(i)+1)-YTENS(i,1)) |
642 |
|
|
enddo |
643 |
|
|
|
644 |
|
|
c If Lowest layer is very thin, it is strapped to next layer |
645 |
|
|
c ---------------------------------------------------------- |
646 |
|
|
do i = 1,irun |
647 |
|
|
if( nthin(i).gt.1 ) then |
648 |
|
|
do l = 2,nthin(i) |
649 |
|
|
dudt(i,lm+1-l) = dudt(i,lm) |
650 |
|
|
dvdt(i,lm+1-l) = dvdt(i,lm) |
651 |
|
|
enddo |
652 |
|
|
endif |
653 |
|
|
enddo |
654 |
|
|
|
655 |
|
|
c Convert Units to (m/sec**2) |
656 |
|
|
c --------------------------- |
657 |
|
|
do l = 1,lm |
658 |
|
|
do i = 1,irun |
659 |
|
|
dudt(i,l) = - dudt(i,l)/ps(i)*0.01 |
660 |
|
|
dvdt(i,l) = - dvdt(i,l)/ps(i)*0.01 |
661 |
|
|
enddo |
662 |
|
|
enddo |
663 |
|
|
|
664 |
|
|
return |
665 |
|
|
end |