1 |
molod |
1.5 |
C $Header: /u/gcmpack/MITgcm/pkg/fizhi/fizhi_gwdrag.F,v 1.4 2005/05/25 19:27:19 molod Exp $ |
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molod |
1.1 |
C $Name: $ |
3 |
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#include "FIZHI_OPTIONS.h" |
4 |
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subroutine gwdrag (myid,pz,pl,ple,dpres,pkz,uz,vz,tz,qz,phis_var, |
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molod |
1.4 |
. dudt,dvdt,dtdt,im,jm,Lm,bi,bj,istrip,npcs,imglobal) |
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molod |
1.1 |
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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molod |
1.4 |
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] |
22 |
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C tz ....... temperature [im,jm,Lm] |
23 |
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C qz ....... specific humidity [im,jm,Lm] |
24 |
molod |
1.1 |
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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molod |
1.4 |
C Lm ....... number of grid points in vertical |
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molod |
1.1 |
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 |
32 |
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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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41 |
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c Input Variables |
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c --------------- |
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molod |
1.4 |
integer myid,im,jm,Lm,bi,bj,istrip,npcs,imglobal |
44 |
molod |
1.2 |
_RL pz(im,jm) |
45 |
molod |
1.4 |
_RL pl(im,jm,Lm) |
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_RL ple(im,jm,Lm+1) |
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_RL dpres(im,jm,Lm) |
48 |
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_RL pkz(im,jm,Lm) |
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_RL uz(im,jm,Lm) |
50 |
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_RL vz(im,jm,Lm) |
51 |
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_RL tz(im,jm,Lm) |
52 |
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_RL qz(im,jm,Lm) |
53 |
molod |
1.2 |
_RL phis_var(im,jm) |
54 |
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55 |
molod |
1.4 |
_RL dudt(im,jm,Lm) |
56 |
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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 |
60 |
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c --------------- |
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molod |
1.4 |
_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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molod |
1.2 |
_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 |
68 |
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69 |
molod |
1.2 |
_RL phis_std(im,jm) |
70 |
molod |
1.1 |
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71 |
molod |
1.2 |
_RL std(istrip), ps(istrip) |
72 |
molod |
1.4 |
_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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molod |
1.2 |
_RL dragxs(istrip), dragys(istrip) |
75 |
molod |
1.4 |
_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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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 |
97 |
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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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101 |
molod |
1.4 |
do nthini = 1,Lm+1 |
102 |
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if( pz(i,j)-ple(i,j,Lm+2-nthini).gt.25. ) then |
103 |
molod |
1.1 |
nthin(i,j) = nthini |
104 |
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goto 10 |
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endif |
106 |
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enddo |
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10 continue |
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molod |
1.4 |
do nbasei = 1,Lm+1 |
109 |
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if( ple(i,j,Lm+2-nbasei).lt.(0.667*pz(i,j)) ) then |
110 |
molod |
1.1 |
nbase(i,j) = nbasei |
111 |
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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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molod |
1.4 |
if( (0.667*pz(i,j))-ple(i,j,Lm+2-nbase(i,j)) .gt. |
116 |
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. ple(i,j,Lm+3-nbase(i,j))-(0.667*pz(i,j)) ) then |
117 |
molod |
1.1 |
nbase(i,j) = nbase(i,j)-1 |
118 |
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endif |
119 |
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120 |
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enddo |
121 |
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enddo |
122 |
molod |
1.4 |
|
123 |
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if(diagnostics_is_on('SDIAG1 ',myid) ) then |
124 |
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do j=1,jm |
125 |
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do i=1,im |
126 |
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tmpdiag(i,j) = float(nthin(i,j)) |
127 |
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enddo |
128 |
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enddo |
129 |
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call diagnostics_fill(tmpdiag,'SDIAG1 ',0,1,3,bi,bj,myid) |
130 |
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endif |
131 |
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if(diagnostics_is_on('SDIAG2 ',myid) ) then |
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do j=1,jm |
133 |
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do i=1,im |
134 |
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tmpdiag(i,j) = float(nbase(i,j)) |
135 |
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enddo |
136 |
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enddo |
137 |
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call diagnostics_fill(tmpdiag,'SDIAG2 ',0,1,3,bi,bj,myid) |
138 |
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endif |
139 |
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140 |
molod |
1.1 |
c Compute Topography Sub-Grid Standard Deviation |
141 |
molod |
1.4 |
c and constrain the Maximum Value |
142 |
molod |
1.1 |
c ---------------------------------------------- |
143 |
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do j=1,jm |
144 |
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do i=1,im |
145 |
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phis_std(i,j) = min( 400.0, sqrt( max(0.0,phis_var(i,j)) )/grav ) |
146 |
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enddo |
147 |
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enddo |
148 |
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149 |
molod |
1.4 |
if(diagnostics_is_on('SDIAG3 ',myid) ) then |
150 |
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do j=1,jm |
151 |
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do i=1,im |
152 |
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tmpdiag(i,j) = phis_std(i,j) |
153 |
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enddo |
154 |
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enddo |
155 |
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call diagnostics_fill(tmpdiag,'SDIAG3 ',0,1,3,bi,bj,myid) |
156 |
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endif |
157 |
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158 |
molod |
1.1 |
c Compute Virtual Temperatures |
159 |
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c ---------------------------- |
160 |
molod |
1.4 |
do L = 1,Lm |
161 |
molod |
1.1 |
do j = 1,jm |
162 |
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do i = 1,im |
163 |
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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 |
165 |
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enddo |
166 |
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enddo |
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168 |
molod |
1.4 |
do L = 1,Lm |
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do j = 1,jm |
170 |
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do i = 1,im |
171 |
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dragu(i,j,L) = 0. |
172 |
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dragv(i,j,L) = 0. |
173 |
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dragt(i,j,L) = 0. |
174 |
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enddo |
175 |
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enddo |
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enddo |
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molod |
1.1 |
c Call Gravity Wave Drag Paramterization on A-Grid |
179 |
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c ------------------------------------------------ |
180 |
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181 |
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do n=1,npcs |
182 |
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183 |
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call strip ( phis_std,std,im*jm,istrip,1,n ) |
184 |
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185 |
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call strip ( pz,ps,im*jm,istrip,1 ,n ) |
186 |
molod |
1.4 |
call strip ( uz,us,im*jm,istrip,Lm,n ) |
187 |
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call strip ( vz,vs,im*jm,istrip,Lm,n ) |
188 |
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call strip ( tv,ts,im*jm,istrip,Lm,n ) |
189 |
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call strip ( pl,plstr,im*jm,istrip,Lm,n ) |
190 |
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call strip ( ple,plestr,im*jm,istrip,Lm,n ) |
191 |
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call strip ( dpres,dpresstr,im*jm,istrip,Lm,n ) |
192 |
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call stripint ( nthin,nthinstr,im*jm,istrip,1,n ) |
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call stripint ( nbase,nbasestr,im*jm,istrip,1,n ) |
194 |
molod |
1.1 |
|
195 |
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call GWDD ( ps,us,vs,ts, |
196 |
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. dragus,dragvs,dragxs,dragys,std, |
197 |
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. plstr,plestr,dpresstr,grav,rgas,cp, |
198 |
molod |
1.4 |
. istrip,Lm,nthinstr,nbasestr,lstar ) |
199 |
molod |
1.1 |
|
200 |
molod |
1.4 |
call paste ( dragus,dragu,istrip,im*jm,Lm,n ) |
201 |
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call paste ( dragvs,dragv,istrip,im*jm,Lm,n ) |
202 |
molod |
1.1 |
call paste ( dragxs,dragx,istrip,im*jm,1 ,n ) |
203 |
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call paste ( dragys,dragy,istrip,im*jm,1 ,n ) |
204 |
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205 |
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enddo |
206 |
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207 |
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c Add Gravity-Wave Drag to Wind and Theta Tendencies |
208 |
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c -------------------------------------------------- |
209 |
molod |
1.4 |
do L = 1,Lm |
210 |
molod |
1.1 |
do j = 1,jm |
211 |
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do i = 1,im |
212 |
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dragu(i,j,L) = sign( min(0.006,abs(dragu(i,j,L))),dragu(i,j,L) ) |
213 |
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dragv(i,j,L) = sign( min(0.006,abs(dragv(i,j,L))),dragv(i,j,L) ) |
214 |
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dragt(i,j,L) = -( uz(i,j,L)*dragu(i,j,L)+vz(i,j,L)*dragv(i,j,L) ) |
215 |
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. *cpinv |
216 |
molod |
1.5 |
dudt(i,j,L) = dudt(i,j,L) + dragu(i,j,L) |
217 |
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dvdt(i,j,L) = dvdt(i,j,L) + dragv(i,j,L) |
218 |
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dtdt(i,j,L) = dtdt(i,j,L) + dragt(i,j,L)*pz(i,j)/pkz(i,j,L) |
219 |
molod |
1.1 |
enddo |
220 |
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enddo |
221 |
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enddo |
222 |
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223 |
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c Compute Diagnostics |
224 |
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c ------------------- |
225 |
molod |
1.2 |
#ifdef ALLOW_DIAGNOSTICS |
226 |
molod |
1.4 |
do L = 1,Lm |
227 |
molod |
1.2 |
|
228 |
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if(diagnostics_is_on('GWDU ',myid) ) then |
229 |
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do j=1,jm |
230 |
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do i=1,im |
231 |
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tmpdiag(i,j) = dragu(i,j,L)*86400 |
232 |
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enddo |
233 |
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enddo |
234 |
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call diagnostics_fill(tmpdiag,'GWDU ',L,1,3,bi,bj,myid) |
235 |
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endif |
236 |
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237 |
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if(diagnostics_is_on('GWDV ',myid) ) then |
238 |
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do j=1,jm |
239 |
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do i=1,im |
240 |
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tmpdiag(i,j) = dragv(i,j,L)*86400 |
241 |
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enddo |
242 |
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enddo |
243 |
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call diagnostics_fill(tmpdiag,'GWDV ',L,1,3,bi,bj,myid) |
244 |
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endif |
245 |
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246 |
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if(diagnostics_is_on('GWDT ',myid) ) then |
247 |
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do j=1,jm |
248 |
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do i=1,im |
249 |
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tmpdiag(i,j) = dragt(i,j,L)*86400 |
250 |
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enddo |
251 |
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enddo |
252 |
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call diagnostics_fill(tmpdiag,'GWDT ',L,1,3,bi,bj,myid) |
253 |
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endif |
254 |
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255 |
molod |
1.1 |
enddo |
256 |
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257 |
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c Gravity Wave Drag at Surface (U-Wind) |
258 |
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c ------------------------------------- |
259 |
molod |
1.2 |
if(diagnostics_is_on('GWDUS ',myid) ) then |
260 |
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call diagnostics_fill(dragx,'GWDUS ',0,1,3,bi,bj,myid) |
261 |
molod |
1.1 |
endif |
262 |
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263 |
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c Gravity Wave Drag at Surface (V-Wind) |
264 |
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c ------------------------------------- |
265 |
molod |
1.2 |
if(diagnostics_is_on('GWDVS ',myid) ) then |
266 |
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call diagnostics_fill(dragy,'GWDVS ',0,1,3,bi,bj,myid) |
267 |
molod |
1.1 |
endif |
268 |
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269 |
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c Gravity Wave Drag at Model Top (U-Wind) |
270 |
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c --------------------------------------- |
271 |
molod |
1.2 |
if(diagnostics_is_on('GWDUT ',myid) ) then |
272 |
molod |
1.1 |
do j = 1,jm |
273 |
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do i = 1,im |
274 |
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sumu(i,j) = 0.0 |
275 |
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enddo |
276 |
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enddo |
277 |
molod |
1.4 |
do L = 1,Lm |
278 |
molod |
1.1 |
do j = 1,jm |
279 |
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do i = 1,im |
280 |
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sumu(i,j) = sumu(i,j) + dragu(i,j,L)*dpres(i,j,L)/pz(i,j) |
281 |
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enddo |
282 |
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enddo |
283 |
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enddo |
284 |
molod |
1.2 |
do j=1,jm |
285 |
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do i=1,im |
286 |
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tmpdiag(i,j) = dragx(i,j) + sumu(i,j)*pz(i,j)/grav*100 |
287 |
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enddo |
288 |
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enddo |
289 |
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call diagnostics_fill(tmpdiag,'GWDUT ',0,1,3,bi,bj,myid) |
290 |
molod |
1.1 |
endif |
291 |
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292 |
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c Gravity Wave Drag at Model Top (V-Wind) |
293 |
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c --------------------------------------- |
294 |
molod |
1.2 |
if(diagnostics_is_on('GWDVT ',myid) ) then |
295 |
molod |
1.1 |
do j = 1,jm |
296 |
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do i = 1,im |
297 |
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sumu(i,j) = 0.0 |
298 |
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enddo |
299 |
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enddo |
300 |
molod |
1.4 |
do L = 1,Lm |
301 |
molod |
1.1 |
do j = 1,jm |
302 |
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do i = 1,im |
303 |
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sumu(i,j) = sumu(i,j) + dragv(i,j,L)*dpres(i,j,L)/pz(i,j) |
304 |
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enddo |
305 |
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enddo |
306 |
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enddo |
307 |
molod |
1.2 |
do j=1,jm |
308 |
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do i=1,im |
309 |
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tmpdiag(i,j) = dragy(i,j) + sumu(i,j)*pz(i,j)/grav*100 |
310 |
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enddo |
311 |
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enddo |
312 |
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call diagnostics_fill(tmpdiag,'GWDVT ',0,1,3,bi,bj,myid) |
313 |
molod |
1.1 |
endif |
314 |
molod |
1.2 |
#endif |
315 |
molod |
1.1 |
|
316 |
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return |
317 |
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end |
318 |
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SUBROUTINE GWDD ( ps,u,v,t,dudt,dvdt,xdrag,ydrag, |
319 |
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. std,pl,ple,dpres, |
320 |
molod |
1.4 |
. grav,rgas,cp,irun,Lm,nthin,nbase,lstar ) |
321 |
molod |
1.1 |
C*********************************************************************** |
322 |
|
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C |
323 |
|
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C Description: |
324 |
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C ============ |
325 |
|
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C Parameterization to introduce a Gravity Wave Drag |
326 |
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C due to sub-grid scale orographic forcing |
327 |
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C |
328 |
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C Input: |
329 |
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C ====== |
330 |
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C ps ......... Surface Pressure |
331 |
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C u .......... Zonal Wind (m/sec) |
332 |
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C v .......... Meridional Wind (m/sec) |
333 |
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C t .......... Virtual Temperature (deg K) |
334 |
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C std ........ Standard Deviation of sub-grid Orography (m) |
335 |
|
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C ple ....... Model pressure Edge Values |
336 |
|
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C pl ........ Model pressure Values |
337 |
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C dpres....... Model Delta pressure Values |
338 |
|
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C grav ....... Gravitational constant (m/sec**2) |
339 |
|
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C rgas ....... Gas constant |
340 |
|
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C cp ......... Specific Heat at constant pressure |
341 |
|
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C irun ....... Number of grid-points in horizontal dimension |
342 |
molod |
1.4 |
C Lm ......... Number of grid-points in vertical dimension |
343 |
molod |
1.1 |
C lstar ...... Monochromatic Wavelength/(2*pi) |
344 |
|
|
C |
345 |
|
|
C Output: |
346 |
|
|
C ======= |
347 |
|
|
C dudt ....... Zonal Acceleration due to GW Drag (m/sec**2) |
348 |
|
|
C dvdt ....... Meridional Acceleration due to GW Drag (m/sec**2) |
349 |
|
|
C xdrag ...... Zonal Surface and Base Layer Stress (Pa) |
350 |
|
|
C ydrag ...... Meridional Surface and Base Layer Stress (Pa) |
351 |
|
|
C |
352 |
molod |
1.4 |
C NOTE: Quantities computed locally in GWDD use a |
353 |
|
|
C bottom-up counting of levels |
354 |
|
|
C The fizhi code uses a top-down so all |
355 |
|
|
C Quantities that came in through the arg list |
356 |
|
|
C must use reverse vertical indexing!!! |
357 |
molod |
1.1 |
C*********************************************************************** |
358 |
|
|
|
359 |
|
|
implicit none |
360 |
|
|
|
361 |
|
|
c Input Variables |
362 |
|
|
c --------------- |
363 |
molod |
1.4 |
integer irun,Lm |
364 |
molod |
1.2 |
_RL ps(irun) |
365 |
molod |
1.4 |
_RL u(irun,Lm), v(irun,Lm), t(irun,Lm) |
366 |
|
|
_RL dudt(irun,Lm), dvdt(irun,Lm) |
367 |
molod |
1.2 |
_RL xdrag(irun), ydrag(irun) |
368 |
|
|
_RL std(irun) |
369 |
molod |
1.4 |
_RL ple(irun,Lm+1), pl(irun,Lm), dpres(irun,Lm) |
370 |
molod |
1.2 |
_RL grav, rgas, cp |
371 |
molod |
1.1 |
integer nthin(irun),nbase(irun) |
372 |
molod |
1.2 |
_RL lstar |
373 |
molod |
1.1 |
|
374 |
|
|
c Dynamic Allocation Variables |
375 |
|
|
c ---------------------------- |
376 |
molod |
1.2 |
_RL ubar(irun), vbar(irun), robar(irun) |
377 |
|
|
_RL speed(irun), ang(irun) |
378 |
molod |
1.4 |
_RL bv(irun,Lm) |
379 |
molod |
1.2 |
_RL nbar(irun) |
380 |
|
|
|
381 |
molod |
1.4 |
_RL XTENS(irun,Lm+1), YTENS(irun,Lm+1) |
382 |
|
|
_RL TENSIO(irun,Lm+1) |
383 |
molod |
1.2 |
_RL DRAGSF(irun) |
384 |
molod |
1.4 |
_RL RO(irun,Lm), DZ(irun,Lm) |
385 |
molod |
1.1 |
|
386 |
|
|
integer icrilv(irun) |
387 |
|
|
|
388 |
|
|
c Local Variables |
389 |
|
|
c --------------- |
390 |
molod |
1.4 |
integer i,L |
391 |
|
|
_RL a,g,agrav,akwnmb |
392 |
molod |
1.2 |
_RL gocp,roave,roiave,frsf,gstar,vai1,vai2 |
393 |
|
|
_RL vaisd,velco,deluu,delvv,delve2,delz,vsqua |
394 |
|
|
_RL richsn,crifro,crif2,fro2,coef |
395 |
molod |
1.1 |
|
396 |
|
|
c Initialization |
397 |
|
|
c -------------- |
398 |
|
|
a = 1.0 |
399 |
|
|
g = 1.0 |
400 |
molod |
1.4 |
agrav = 1.0/grav |
401 |
molod |
1.1 |
akwnmb = 1.0/lstar |
402 |
molod |
1.4 |
gocp = grav/cp |
403 |
molod |
1.1 |
|
404 |
molod |
1.4 |
c Compute Atmospheric Density (with virtual temp) |
405 |
|
|
c ----------------------------------------------- |
406 |
|
|
do l = 1,Lm |
407 |
molod |
1.1 |
do i = 1,irun |
408 |
molod |
1.4 |
ro(i,L) = pl(i,Lm+1-L)/(rgas*t(i,Lm+1-L)) |
409 |
molod |
1.1 |
enddo |
410 |
|
|
enddo |
411 |
|
|
|
412 |
|
|
c Compute Layer Thicknesses |
413 |
|
|
c ------------------------- |
414 |
molod |
1.4 |
do l = 2,Lm |
415 |
molod |
1.1 |
do i = 1,irun |
416 |
molod |
1.4 |
roiave = ( 1./ro(i,L-1) + 1./ro(i,L) )*0.5 |
417 |
molod |
1.5 |
dz(i,L) = agrav*roiave*( pl(i,Lm+2-L)-pl(i,Lm+1-L) ) |
418 |
molod |
1.1 |
enddo |
419 |
|
|
enddo |
420 |
|
|
|
421 |
|
|
|
422 |
molod |
1.4 |
c*********************************************************************** |
423 |
|
|
c Surface and Base Layer Stress * |
424 |
|
|
c*********************************************************************** |
425 |
molod |
1.1 |
|
426 |
|
|
c Definition of Surface Wind Vector |
427 |
|
|
c --------------------------------- |
428 |
|
|
do i = 1,irun |
429 |
molod |
1.4 |
robar(i) = 0.0 |
430 |
molod |
1.1 |
ubar(i) = 0.0 |
431 |
|
|
vbar(i) = 0.0 |
432 |
|
|
enddo |
433 |
|
|
|
434 |
|
|
do i = 1,irun |
435 |
|
|
do L = 1,nbase(i)-1 |
436 |
molod |
1.5 |
robar(i) = robar(i) + ro(i,L) * (ple(i,Lm+2-L)-ple(i,Lm+1-L)) |
437 |
|
|
ubar(i) = ubar(i) + u(i,Lm+1-L) * (ple(i,Lm+2-L)-ple(i,Lm+1-L)) |
438 |
|
|
vbar(i) = vbar(i) + v(i,Lm+1-L) * (ple(i,Lm+2-L)-ple(i,Lm+1-L)) |
439 |
molod |
1.1 |
enddo |
440 |
|
|
enddo |
441 |
|
|
|
442 |
|
|
do i = 1,irun |
443 |
molod |
1.5 |
robar(i) = robar(i)/(ps(i)-ple(i,Lm+1-nbase(i))) * 100.0 |
444 |
|
|
ubar(i) = ubar(i)/(ps(i)-ple(i,Lm+1-nbase(i))) |
445 |
|
|
vbar(i) = vbar(i)/(ps(i)-ple(i,Lm+1-nbase(i))) |
446 |
molod |
1.1 |
|
447 |
molod |
1.4 |
speed(i) = sqrt( ubar(i)*ubar(i) + vbar(i)*vbar(i) ) |
448 |
|
|
ang(i) = atan2(vbar(i),ubar(i)) |
449 |
molod |
1.1 |
enddo |
450 |
|
|
|
451 |
|
|
c Brunt Vaisala Frequency |
452 |
|
|
c ----------------------- |
453 |
|
|
do i = 1,irun |
454 |
molod |
1.4 |
do l = 2,nbase(i) |
455 |
|
|
vai1 = (t(i,Lm+1-L)-t(i,Lm+2-L))/dz(i,L)+gocp |
456 |
|
|
if( vai1.LT.0.0 ) then |
457 |
|
|
vai1 = 0.0 |
458 |
|
|
endif |
459 |
|
|
vai2 = 2.0*grav/( t(i,Lm+1-L)+t(i,Lm+2-L) ) |
460 |
|
|
vsqua = vai1*vai2 |
461 |
|
|
bv(i,L) = sqrt(vsqua) |
462 |
|
|
enddo |
463 |
molod |
1.1 |
enddo |
464 |
|
|
|
465 |
|
|
c Stress at the Surface Level |
466 |
|
|
c --------------------------- |
467 |
|
|
do i = 1,irun |
468 |
molod |
1.4 |
nbar(i) = 0.0 |
469 |
molod |
1.1 |
enddo |
470 |
|
|
do i = 1,irun |
471 |
|
|
do l = 2,nbase(i) |
472 |
molod |
1.5 |
nbar(i) = nbar(i) + bv(i,L)*(pl(i,Lm+2-L)-pl(i,Lm+1-L)) |
473 |
molod |
1.1 |
enddo |
474 |
|
|
enddo |
475 |
|
|
|
476 |
|
|
do i = 1,irun |
477 |
molod |
1.4 |
nbar(i) = nbar(i)/(pl(i,Lm)-pl(i,Lm+1-nbase(i))) |
478 |
|
|
frsf = nbar(i)*std(i)/speed(i) |
479 |
molod |
1.1 |
|
480 |
molod |
1.4 |
if( speed(i).eq.0.0 .or. nbar(i).eq.0.0 ) then |
481 |
|
|
tensio(i,1) = 0.0 |
482 |
|
|
else |
483 |
|
|
gstar = g*frsf*frsf/(frsf*frsf+a*a) |
484 |
|
|
tensio(i,1) = gstar*(robar(i)*speed(i)*speed(i)*speed(i)) |
485 |
|
|
. / (nbar(i)*lstar) |
486 |
|
|
endif |
487 |
molod |
1.1 |
|
488 |
molod |
1.4 |
xtens(i,1) = tensio(i,1) * cos(ang(i)) |
489 |
|
|
ytens(i,1) = tensio(i,1) * sin(ang(i)) |
490 |
|
|
dragsf(i) = tensio(i,1) |
491 |
|
|
xdrag(i) = xtens(i,1) |
492 |
|
|
ydrag(i) = ytens(i,1) |
493 |
molod |
1.1 |
enddo |
494 |
|
|
|
495 |
|
|
c Check for Very thin lowest layer |
496 |
|
|
c -------------------------------- |
497 |
|
|
do i = 1,irun |
498 |
molod |
1.4 |
if( nthin(i).gt.1 ) then |
499 |
|
|
do l = 1,nthin(i) |
500 |
|
|
tensio(i,L) = tensio(i,1) |
501 |
|
|
xtens(i,L) = xtens(i,1) |
502 |
|
|
ytens(i,L) = ytens(i,1) |
503 |
|
|
enddo |
504 |
|
|
endif |
505 |
molod |
1.1 |
enddo |
506 |
|
|
|
507 |
|
|
c****************************************************** |
508 |
|
|
c Compute Gravity Wave Stress from NTHIN+1 to NBASE * |
509 |
|
|
c****************************************************** |
510 |
|
|
|
511 |
|
|
do i = 1,irun |
512 |
molod |
1.4 |
do l = nthin(i)+1,nbase(i) |
513 |
molod |
1.1 |
|
514 |
molod |
1.4 |
velco = 0.5*( (u(i,Lm+1-L)*ubar(i) + v(i,Lm+1-L)*vbar(i)) |
515 |
|
|
. + (u(i,Lm+2-L)*ubar(i) + v(i,Lm+2-L)*vbar(i)) ) |
516 |
molod |
1.1 |
. / speed(i) |
517 |
|
|
|
518 |
|
|
C Convert to Newton/m**2 |
519 |
molod |
1.4 |
roave = 0.5*(ro(i,L-1)+ro(i,L)) * 100.0 |
520 |
molod |
1.1 |
|
521 |
molod |
1.4 |
if( velco.le.0.0 ) then |
522 |
|
|
tensio(i,L) = tensio(i,L-1) |
523 |
|
|
goto 1500 |
524 |
|
|
endif |
525 |
molod |
1.1 |
|
526 |
|
|
c Froude number squared |
527 |
|
|
c --------------------- |
528 |
molod |
1.4 |
fro2 = bv(i,L)/(akwnmb*roave*velco*velco*velco)*tensio(i,L-1) |
529 |
|
|
deluu = u(i,Lm+1-L)-u(i,Lm+2-L) |
530 |
|
|
delvv = v(i,Lm+1-L)-v(i,Lm+2-L) |
531 |
|
|
delve2 = ( deluu*deluu + delvv*delvv ) |
532 |
molod |
1.1 |
|
533 |
|
|
c Compute Richarson Number |
534 |
|
|
c ------------------------ |
535 |
molod |
1.4 |
if( delve2.ne.0.0 ) then |
536 |
|
|
delz = dz(i,L) |
537 |
|
|
vsqua = bv(i,L)*bv(i,L) |
538 |
|
|
richsn = delz*delz*vsqua/delve2 |
539 |
|
|
else |
540 |
|
|
richsn = 99999.0 |
541 |
|
|
endif |
542 |
|
|
|
543 |
|
|
if( richsn.le.0.25 ) then |
544 |
|
|
tensio(i,L) = tensio(i,L-1) |
545 |
|
|
goto 1500 |
546 |
|
|
endif |
547 |
molod |
1.1 |
|
548 |
|
|
c Stress in the Base Layer changes if the local Froude number |
549 |
|
|
c exceeds the Critical Froude number |
550 |
|
|
c ---------------------------------- |
551 |
molod |
1.4 |
crifro = 1.0 - 0.25/richsn |
552 |
|
|
crif2 = crifro*crifro |
553 |
|
|
if( l.eq.2 ) crif2 = min(0.7,crif2) |
554 |
|
|
|
555 |
|
|
if( fro2.gt.crif2 ) then |
556 |
|
|
tensio(i,L) = crif2/fro2*tensio(i,L-1) |
557 |
|
|
else |
558 |
|
|
tensio(i,L) = tensio(i,L-1) |
559 |
|
|
endif |
560 |
|
|
|
561 |
|
|
1500 continue |
562 |
|
|
xtens(i,L) = tensio(i,L)*cos(ang(i)) |
563 |
|
|
ytens(i,L) = tensio(i,L)*sin(ang(i)) |
564 |
molod |
1.1 |
|
565 |
molod |
1.4 |
enddo |
566 |
molod |
1.1 |
enddo |
567 |
|
|
|
568 |
|
|
c****************************************************** |
569 |
|
|
c Compute Gravity Wave Stress from Base+1 to Top * |
570 |
|
|
c****************************************************** |
571 |
|
|
|
572 |
|
|
do i = 1,irun |
573 |
molod |
1.4 |
icrilv(i) = 0 |
574 |
molod |
1.1 |
enddo |
575 |
|
|
|
576 |
|
|
do i = 1,irun |
577 |
molod |
1.4 |
do l = nbase(i)+1,Lm+1 |
578 |
molod |
1.1 |
|
579 |
molod |
1.4 |
tensio(i,L) = 0.0 |
580 |
molod |
1.1 |
|
581 |
|
|
c Check for Critical Level Absorption |
582 |
|
|
c ----------------------------------- |
583 |
molod |
1.4 |
if( icrilv(i).eq.1 ) goto 130 |
584 |
molod |
1.1 |
|
585 |
|
|
c Let Remaining Stress escape out the top edge of model |
586 |
|
|
c ----------------------------------------------------- |
587 |
molod |
1.4 |
if( l.eq.Lm+1 ) then |
588 |
|
|
tensio(i,L) = tensio(i,L-1) |
589 |
|
|
goto 130 |
590 |
|
|
endif |
591 |
molod |
1.1 |
|
592 |
molod |
1.4 |
roave = 0.5*(ro(i,L-1)+ro(i,L)) * 100.0 |
593 |
|
|
vai1 = (t(i,Lm+1-L)-t(i,Lm+2-L))/dz(i,L)+gocp |
594 |
molod |
1.1 |
|
595 |
molod |
1.4 |
if( vai1.lt.0.0 ) then |
596 |
|
|
icrilv(i) = 1 |
597 |
|
|
tensio(i,L) = 0.0 |
598 |
|
|
goto 130 |
599 |
|
|
endif |
600 |
|
|
|
601 |
|
|
vai2 = 2.0*grav/(t(i,Lm+1-L)+t(i,Lm+2-L)) |
602 |
|
|
vsqua = vai1*vai2 |
603 |
|
|
vaisd = sqrt(vsqua) |
604 |
molod |
1.1 |
|
605 |
molod |
1.4 |
velco = 0.5*( (u(i,Lm+1-L)*ubar(i) + v(i,Lm+1-L)*vbar(i)) |
606 |
|
|
. + (u(i,Lm+2-L)*ubar(i) + v(i,Lm+2-L)*vbar(i)) ) |
607 |
molod |
1.1 |
. / speed(i) |
608 |
|
|
|
609 |
molod |
1.4 |
if( velco.lt.0.0 ) then |
610 |
|
|
icrilv(i) = 1 |
611 |
|
|
tensio(i,L) = 0.0 |
612 |
|
|
goto 130 |
613 |
|
|
endif |
614 |
molod |
1.1 |
|
615 |
|
|
c Froude number squared |
616 |
|
|
c --------------------- |
617 |
molod |
1.4 |
fro2 = vaisd/(akwnmb*roave*velco*velco*velco)*tensio(i,L-1) |
618 |
|
|
deluu = u(i,Lm+1-L)-u(i,Lm+2-L) |
619 |
|
|
delvv = v(i,Lm+1-L)-v(i,Lm+2-L) |
620 |
|
|
delve2 = ( deluu*deluu + delvv*delvv ) |
621 |
molod |
1.1 |
|
622 |
|
|
c Compute Richarson Number |
623 |
|
|
c ------------------------ |
624 |
molod |
1.4 |
if( delve2.ne.0.0 ) then |
625 |
|
|
delz = dz(i,L) |
626 |
|
|
richsn = delz*delz*vsqua/delve2 |
627 |
|
|
else |
628 |
|
|
richsn = 99999.0 |
629 |
|
|
endif |
630 |
|
|
|
631 |
|
|
if( richsn.le.0.25 ) then |
632 |
|
|
tensio(i,L) = 0.0 |
633 |
|
|
icrilv(i) = 1 |
634 |
|
|
goto 130 |
635 |
|
|
endif |
636 |
molod |
1.1 |
|
637 |
|
|
c Stress in Layer changes if the local Froude number |
638 |
|
|
c exceeds the Critical Froude number |
639 |
|
|
c ---------------------------------- |
640 |
molod |
1.4 |
crifro = 1.0 - 0.25/richsn |
641 |
|
|
crif2 = crifro*crifro |
642 |
molod |
1.1 |
|
643 |
molod |
1.4 |
if( fro2.ge.crif2 ) then |
644 |
|
|
tensio(i,L) = crif2/fro2*tensio(i,L-1) |
645 |
|
|
else |
646 |
|
|
tensio(i,L) = tensio(i,L-1) |
647 |
|
|
endif |
648 |
|
|
|
649 |
|
|
130 continue |
650 |
|
|
xtens(i,L) = tensio(i,L)*cos(ang(i)) |
651 |
|
|
ytens(i,L) = tensio(i,L)*sin(ang(i)) |
652 |
|
|
enddo |
653 |
molod |
1.1 |
enddo |
654 |
|
|
|
655 |
|
|
C ****************************************************** |
656 |
|
|
C MOMENTUM CHANGE FOR FREE ATMOSPHERE * |
657 |
|
|
C ****************************************************** |
658 |
|
|
|
659 |
|
|
do i = 1,irun |
660 |
molod |
1.4 |
do l = nthin(i)+1,Lm |
661 |
molod |
1.5 |
coef = -grav*ps(i)/dpres(i,Lm+1-L) |
662 |
molod |
1.4 |
dudt(i,Lm+1-L) = coef*(xtens(i,L+1)-xtens(i,L)) |
663 |
|
|
dvdt(i,Lm+1-L) = coef*(ytens(i,L+1)-ytens(i,L)) |
664 |
molod |
1.1 |
enddo |
665 |
|
|
enddo |
666 |
|
|
|
667 |
|
|
c Momentum change near the surface |
668 |
|
|
c -------------------------------- |
669 |
|
|
do i = 1,irun |
670 |
molod |
1.5 |
coef = grav*ps(i)/(ple(i,Lm+1-nthin(i))-ple(i,Lm+1)) |
671 |
molod |
1.4 |
dudt(i,Lm) = coef*(xtens(i,nthin(i)+1)-xtens(i,1)) |
672 |
|
|
dvdt(i,Lm) = coef*(ytens(i,nthin(i)+1)-ytens(i,1)) |
673 |
molod |
1.1 |
enddo |
674 |
|
|
|
675 |
|
|
c If Lowest layer is very thin, it is strapped to next layer |
676 |
|
|
c ---------------------------------------------------------- |
677 |
|
|
do i = 1,irun |
678 |
molod |
1.4 |
if( nthin(i).gt.1 ) then |
679 |
|
|
do l = 2,nthin(i) |
680 |
|
|
dudt(i,Lm+1-L) = dudt(i,Lm) |
681 |
|
|
dvdt(i,Lm+1-L) = dvdt(i,Lm) |
682 |
|
|
enddo |
683 |
|
|
endif |
684 |
molod |
1.1 |
enddo |
685 |
|
|
|
686 |
|
|
c Convert Units to (m/sec**2) |
687 |
|
|
c --------------------------- |
688 |
molod |
1.4 |
do l = 1,Lm |
689 |
molod |
1.1 |
do i = 1,irun |
690 |
molod |
1.4 |
dudt(i,L) = - dudt(i,L)/ps(i)*0.01 |
691 |
|
|
dvdt(i,L) = - dvdt(i,L)/ps(i)*0.01 |
692 |
molod |
1.1 |
enddo |
693 |
|
|
enddo |
694 |
|
|
|
695 |
|
|
return |
696 |
|
|
end |