1 |
C $Header: /u/gcmpack/MITgcm/pkg/fizhi/fizhi_gwdrag.F,v 1.10 2005/06/17 16:51:24 ce107 Exp $ |
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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, |
5 |
. dudt,dvdt,dtdt,im,jm,Lm,bi,bj,istrip,npcs,imglobal) |
6 |
C*********************************************************************** |
7 |
C |
8 |
C PURPOSE: |
9 |
C ======== |
10 |
C Driver Routine for Gravity Wave Drag |
11 |
C |
12 |
C INPUT: |
13 |
C ====== |
14 |
C myid ....... Process ID |
15 |
C pz ....... Surface Pressure [im,jm] |
16 |
C pl ....... 3D pressure field [im,jm,Lm] |
17 |
C ple ....... 3d pressure at model level edges [im,jm,Lm+1] |
18 |
C dpres ....... pressure difference across level [im,jm,Lm] |
19 |
C pkz ....... pressure**kappa [im,jm,Lm] |
20 |
C uz ....... zonal velocity [im,jm,Lm] |
21 |
C vz ....... meridional velocity [im,jm,Lm] |
22 |
C tz ....... temperature [im,jm,Lm] |
23 |
C qz ....... specific humidity [im,jm,Lm] |
24 |
C phis_var .... topography variance |
25 |
C im ....... number of grid points in x direction |
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C jm ....... number of grid points in y direction |
27 |
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 |
30 |
C imglobal .... (avg) number of longitude points around the globe |
31 |
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 |
37 |
C |
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C*********************************************************************** |
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implicit none |
40 |
|
41 |
c Input Variables |
42 |
c --------------- |
43 |
integer myid,im,jm,Lm,bi,bj,istrip,npcs,imglobal |
44 |
_RL pz(im,jm) |
45 |
_RL pl(im,jm,Lm) |
46 |
_RL ple(im,jm,Lm+1) |
47 |
_RL dpres(im,jm,Lm) |
48 |
_RL pkz(im,jm,Lm) |
49 |
_RL uz(im,jm,Lm) |
50 |
_RL vz(im,jm,Lm) |
51 |
_RL tz(im,jm,Lm) |
52 |
_RL qz(im,jm,Lm) |
53 |
_RL phis_var(im,jm) |
54 |
|
55 |
_RL dudt(im,jm,Lm) |
56 |
_RL dvdt(im,jm,Lm) |
57 |
_RL dtdt(im,jm,Lm) |
58 |
|
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c Local Variables |
60 |
c --------------- |
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_RL tv(im,jm,Lm) |
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_RL dragu(im,jm,Lm), dragv(im,jm,Lm) |
63 |
_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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integer nthin(im,jm),nbase(im,jm) |
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integer nthini, nbasei |
68 |
|
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_RL phis_std(im,jm) |
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|
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_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+1),dpresstr(istrip,Lm) |
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integer nthinstr(istrip),nbasestr(istrip) |
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|
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integer n,i,j,L |
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_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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|
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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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|
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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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|
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do nthini = 1,Lm+1 |
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if( pz(i,j)-ple(i,j,Lm+2-nthini).gt.25. ) then |
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nthin(i,j) = nthini |
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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.(0.667*pz(i,j)) ) 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( (0.667*pz(i,j))-ple(i,j,Lm+2-nbase(i,j)) .gt. |
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. ple(i,j,Lm+3-nbase(i,j))-(0.667*pz(i,j)) ) then |
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nbase(i,j) = nbase(i,j)-1 |
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endif |
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|
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enddo |
121 |
enddo |
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|
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c Compute Topography Sub-Grid Standard Deviation |
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c and constrain the Maximum Value |
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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 _d 0, sqrt( max(0.0 _d 0, |
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$ phis_var(i,j)) )/grav ) |
130 |
enddo |
131 |
enddo |
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|
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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)) |
139 |
enddo |
140 |
enddo |
141 |
enddo |
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|
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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) = 0. |
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dragv(i,j,L) = 0. |
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dragt(i,j,L) = 0. |
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enddo |
150 |
enddo |
151 |
enddo |
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|
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c Call Gravity Wave Drag Paramterization on A-Grid |
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c ------------------------------------------------ |
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|
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do n=1,npcs |
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|
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call stripit ( phis_std,std,im*jm,im*jm,istrip,1,n ) |
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|
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call stripit ( pz,ps,im*jm,im*jm,istrip,1 ,n ) |
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call stripit ( uz,us,im*jm,im*jm,istrip,Lm,n ) |
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call stripit ( vz,vs,im*jm,im*jm,istrip,Lm,n ) |
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call stripit ( tv,ts,im*jm,im*jm,istrip,Lm,n ) |
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call stripit ( pl,plstr,im*jm,im*jm,istrip,Lm,n ) |
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call stripit ( ple,plestr,im*jm,im*jm,istrip,Lm+1,n ) |
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call stripit ( dpres,dpresstr,im*jm,im*jm,istrip,Lm,n ) |
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call stripitint ( nthin,nthinstr,im*jm,im*jm,istrip,1,n ) |
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call stripitint ( nbase,nbasestr,im*jm,im*jm,istrip,1,n ) |
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|
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call GWDD ( ps,us,vs,ts, |
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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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|
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call pastit( dragus,dragu,istrip,im*jm,im*jm,Lm,n ) |
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call pastit( dragvs,dragv,istrip,im*jm,im*jm,Lm,n ) |
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call pastit( dragxs,dragx,istrip,im*jm,im*jm,1 ,n ) |
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call pastit( dragys,dragy,istrip,im*jm,im*jm,1 ,n ) |
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|
180 |
enddo |
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|
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c Add Gravity-Wave Drag to Wind and Theta Tendencies |
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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 |
187 |
dragu(i,j,L) = sign( min(0.006 _d 0,abs(dragu(i,j,L))), dragu(i |
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$ ,j,L) ) |
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dragv(i,j,L) = sign( min(0.006 _d 0,abs(dragv(i,j,L))), dragv(i |
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$ ,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 |
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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) |
196 |
enddo |
197 |
enddo |
198 |
enddo |
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|
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c Compute Diagnostics |
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c ------------------- |
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#ifdef ALLOW_DIAGNOSTICS |
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do L = 1,Lm |
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|
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if(diagnostics_is_on('GWDU ',myid) ) then |
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do j=1,jm |
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do i=1,im |
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tmpdiag(i,j) = dragu(i,j,L)*86400 |
209 |
enddo |
210 |
enddo |
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call diagnostics_fill(tmpdiag,'GWDU ',L,1,3,bi,bj,myid) |
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endif |
213 |
|
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if(diagnostics_is_on('GWDV ',myid) ) then |
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do j=1,jm |
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do i=1,im |
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tmpdiag(i,j) = dragv(i,j,L)*86400 |
218 |
enddo |
219 |
enddo |
220 |
call diagnostics_fill(tmpdiag,'GWDV ',L,1,3,bi,bj,myid) |
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endif |
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|
223 |
if(diagnostics_is_on('GWDT ',myid) ) then |
224 |
do j=1,jm |
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do i=1,im |
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tmpdiag(i,j) = dragt(i,j,L)*86400 |
227 |
enddo |
228 |
enddo |
229 |
call diagnostics_fill(tmpdiag,'GWDT ',L,1,3,bi,bj,myid) |
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endif |
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|
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enddo |
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|
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c Gravity Wave Drag at Surface (U-Wind) |
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c ------------------------------------- |
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if(diagnostics_is_on('GWDUS ',myid) ) then |
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call diagnostics_fill(dragx,'GWDUS ',0,1,3,bi,bj,myid) |
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endif |
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|
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c Gravity Wave Drag at Surface (V-Wind) |
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c ------------------------------------- |
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if(diagnostics_is_on('GWDVS ',myid) ) then |
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call diagnostics_fill(dragy,'GWDVS ',0,1,3,bi,bj,myid) |
244 |
endif |
245 |
|
246 |
c Gravity Wave Drag at Model Top (U-Wind) |
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c --------------------------------------- |
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if(diagnostics_is_on('GWDUT ',myid) ) then |
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do j = 1,jm |
250 |
do i = 1,im |
251 |
sumu(i,j) = 0.0 |
252 |
enddo |
253 |
enddo |
254 |
do L = 1,Lm |
255 |
do j = 1,jm |
256 |
do i = 1,im |
257 |
sumu(i,j) = sumu(i,j) + dragu(i,j,L)*dpres(i,j,L)/pz(i,j) |
258 |
enddo |
259 |
enddo |
260 |
enddo |
261 |
do j=1,jm |
262 |
do i=1,im |
263 |
tmpdiag(i,j) = dragx(i,j) + sumu(i,j)*pz(i,j)/grav*100 |
264 |
enddo |
265 |
enddo |
266 |
call diagnostics_fill(tmpdiag,'GWDUT ',0,1,3,bi,bj,myid) |
267 |
endif |
268 |
|
269 |
c Gravity Wave Drag at Model Top (V-Wind) |
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c --------------------------------------- |
271 |
if(diagnostics_is_on('GWDVT ',myid) ) then |
272 |
do j = 1,jm |
273 |
do i = 1,im |
274 |
sumu(i,j) = 0.0 |
275 |
enddo |
276 |
enddo |
277 |
do L = 1,Lm |
278 |
do j = 1,jm |
279 |
do i = 1,im |
280 |
sumu(i,j) = sumu(i,j) + dragv(i,j,L)*dpres(i,j,L)/pz(i,j) |
281 |
enddo |
282 |
enddo |
283 |
enddo |
284 |
do j=1,jm |
285 |
do i=1,im |
286 |
tmpdiag(i,j) = dragy(i,j) + sumu(i,j)*pz(i,j)/grav*100 |
287 |
enddo |
288 |
enddo |
289 |
call diagnostics_fill(tmpdiag,'GWDVT ',0,1,3,bi,bj,myid) |
290 |
endif |
291 |
#endif |
292 |
|
293 |
return |
294 |
end |
295 |
SUBROUTINE GWDD ( ps,u,v,t,dudt,dvdt,xdrag,ydrag, |
296 |
. std,pl,ple,dpres, |
297 |
. grav,rgas,cp,irun,Lm,nthin,nbase,lstar ) |
298 |
C*********************************************************************** |
299 |
C |
300 |
C Description: |
301 |
C ============ |
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C Parameterization to introduce a Gravity Wave Drag |
303 |
C due to sub-grid scale orographic forcing |
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C |
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C Input: |
306 |
C ====== |
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C ps ......... Surface Pressure |
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C u .......... Zonal Wind (m/sec) |
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C v .......... Meridional Wind (m/sec) |
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C t .......... Virtual Temperature (deg K) |
311 |
C std ........ Standard Deviation of sub-grid Orography (m) |
312 |
C ple ....... Model pressure Edge Values |
313 |
C pl ........ Model pressure Values |
314 |
C dpres....... Model Delta pressure Values |
315 |
C grav ....... Gravitational constant (m/sec**2) |
316 |
C rgas ....... Gas constant |
317 |
C cp ......... Specific Heat at constant pressure |
318 |
C irun ....... Number of grid-points in horizontal dimension |
319 |
C Lm ......... Number of grid-points in vertical dimension |
320 |
C lstar ...... Monochromatic Wavelength/(2*pi) |
321 |
C |
322 |
C Output: |
323 |
C ======= |
324 |
C dudt ....... Zonal Acceleration due to GW Drag (m/sec**2) |
325 |
C dvdt ....... Meridional Acceleration due to GW Drag (m/sec**2) |
326 |
C xdrag ...... Zonal Surface and Base Layer Stress (Pa) |
327 |
C ydrag ...... Meridional Surface and Base Layer Stress (Pa) |
328 |
C |
329 |
C NOTE: Quantities computed locally in GWDD use a |
330 |
C bottom-up counting of levels |
331 |
C The fizhi code uses a top-down so all |
332 |
C Quantities that came in through the arg list |
333 |
C must use reverse vertical indexing!!! |
334 |
C*********************************************************************** |
335 |
|
336 |
implicit none |
337 |
|
338 |
c Input Variables |
339 |
c --------------- |
340 |
integer irun,Lm |
341 |
_RL ps(irun) |
342 |
_RL u(irun,Lm), v(irun,Lm), t(irun,Lm) |
343 |
_RL dudt(irun,Lm), dvdt(irun,Lm) |
344 |
_RL xdrag(irun), ydrag(irun) |
345 |
_RL std(irun) |
346 |
_RL ple(irun,Lm+1), pl(irun,Lm), dpres(irun,Lm) |
347 |
_RL grav, rgas, cp |
348 |
integer nthin(irun),nbase(irun) |
349 |
_RL lstar |
350 |
|
351 |
c Dynamic Allocation Variables |
352 |
c ---------------------------- |
353 |
_RL ubar(irun), vbar(irun), robar(irun) |
354 |
_RL speed(irun), ang(irun) |
355 |
_RL bv(irun,Lm) |
356 |
_RL nbar(irun) |
357 |
|
358 |
_RL XTENS(irun,Lm+1), YTENS(irun,Lm+1) |
359 |
_RL TENSIO(irun,Lm+1) |
360 |
_RL DRAGSF(irun) |
361 |
_RL RO(irun,Lm), DZ(irun,Lm) |
362 |
|
363 |
integer icrilv(irun) |
364 |
|
365 |
c Local Variables |
366 |
c --------------- |
367 |
integer i,L |
368 |
_RL a,g,agrav,akwnmb |
369 |
_RL gocp,roave,roiave,frsf,gstar,vai1,vai2 |
370 |
_RL vaisd,velco,deluu,delvv,delve2,delz,vsqua |
371 |
_RL richsn,crifro,crif2,fro2,coef |
372 |
|
373 |
c Initialization |
374 |
c -------------- |
375 |
a = 1.0 |
376 |
g = 1.0 |
377 |
agrav = 1.0/grav |
378 |
akwnmb = 1.0/lstar |
379 |
gocp = grav/cp |
380 |
|
381 |
c Compute Atmospheric Density (with virtual temp) |
382 |
c ----------------------------------------------- |
383 |
do l = 1,Lm |
384 |
do i = 1,irun |
385 |
ro(i,L) = pl(i,Lm+1-L)/(rgas*t(i,Lm+1-L)) |
386 |
enddo |
387 |
enddo |
388 |
|
389 |
c Compute Layer Thicknesses |
390 |
c ------------------------- |
391 |
do l = 2,Lm |
392 |
do i = 1,irun |
393 |
roiave = ( 1./ro(i,L-1) + 1./ro(i,L) )*0.5 |
394 |
dz(i,L) = agrav*roiave*( pl(i,Lm+2-L)-pl(i,Lm+1-L) ) |
395 |
enddo |
396 |
enddo |
397 |
|
398 |
|
399 |
c*********************************************************************** |
400 |
c Surface and Base Layer Stress * |
401 |
c*********************************************************************** |
402 |
|
403 |
c Definition of Surface Wind Vector |
404 |
c --------------------------------- |
405 |
do i = 1,irun |
406 |
robar(i) = 0.0 |
407 |
ubar(i) = 0.0 |
408 |
vbar(i) = 0.0 |
409 |
enddo |
410 |
|
411 |
do i = 1,irun |
412 |
do L = 1,nbase(i)-1 |
413 |
robar(i) = robar(i) + ro(i,L) * (ple(i,Lm+2-L)-ple(i,Lm+1-L)) |
414 |
ubar(i) = ubar(i) + u(i,Lm+1-L) * (ple(i,Lm+2-L)-ple(i,Lm+1-L)) |
415 |
vbar(i) = vbar(i) + v(i,Lm+1-L) * (ple(i,Lm+2-L)-ple(i,Lm+1-L)) |
416 |
enddo |
417 |
enddo |
418 |
|
419 |
do i = 1,irun |
420 |
robar(i) = robar(i)/(ps(i)-ple(i,Lm+1-(nbase(i)-1))) * 100.0 |
421 |
ubar(i) = ubar(i)/(ps(i)-ple(i,Lm+1-(nbase(i)-1))) |
422 |
vbar(i) = vbar(i)/(ps(i)-ple(i,Lm+1-(nbase(i)-1))) |
423 |
|
424 |
speed(i) = sqrt( ubar(i)*ubar(i) + vbar(i)*vbar(i) ) |
425 |
ang(i) = atan2(vbar(i),ubar(i)) |
426 |
enddo |
427 |
|
428 |
c Brunt Vaisala Frequency |
429 |
c ----------------------- |
430 |
do i = 1,irun |
431 |
do l = 2,nbase(i) |
432 |
vai1 = (t(i,Lm+1-L)-t(i,Lm+2-L))/dz(i,L)+gocp |
433 |
if( vai1.LT.0.0 ) then |
434 |
vai1 = 0.0 |
435 |
endif |
436 |
vai2 = 2.0*grav/( t(i,Lm+1-L)+t(i,Lm+2-L) ) |
437 |
vsqua = vai1*vai2 |
438 |
bv(i,L) = sqrt(vsqua) |
439 |
enddo |
440 |
enddo |
441 |
|
442 |
c Stress at the Surface Level |
443 |
c --------------------------- |
444 |
do i = 1,irun |
445 |
nbar(i) = 0.0 |
446 |
enddo |
447 |
do i = 1,irun |
448 |
do l = 2,nbase(i) |
449 |
nbar(i) = nbar(i) + bv(i,L)*(pl(i,Lm+2-L)-pl(i,Lm+1-L)) |
450 |
enddo |
451 |
enddo |
452 |
|
453 |
do i = 1,irun |
454 |
nbar(i) = nbar(i)/(pl(i,Lm)-pl(i,Lm+1-nbase(i))) |
455 |
frsf = nbar(i)*std(i)/speed(i) |
456 |
|
457 |
if( speed(i).eq.0.0 .or. nbar(i).eq.0.0 ) then |
458 |
tensio(i,1) = 0.0 |
459 |
else |
460 |
gstar = g*frsf*frsf/(frsf*frsf+a*a) |
461 |
tensio(i,1) = gstar*(robar(i)*speed(i)*speed(i)*speed(i)) |
462 |
. / (nbar(i)*lstar) |
463 |
endif |
464 |
|
465 |
xtens(i,1) = tensio(i,1) * cos(ang(i)) |
466 |
ytens(i,1) = tensio(i,1) * sin(ang(i)) |
467 |
dragsf(i) = tensio(i,1) |
468 |
xdrag(i) = xtens(i,1) |
469 |
ydrag(i) = ytens(i,1) |
470 |
enddo |
471 |
|
472 |
c Check for Very thin lowest layer |
473 |
c -------------------------------- |
474 |
do i = 1,irun |
475 |
if( nthin(i).gt.1 ) then |
476 |
do l = 1,nthin(i) |
477 |
tensio(i,L) = tensio(i,1) |
478 |
xtens(i,L) = xtens(i,1) |
479 |
ytens(i,L) = ytens(i,1) |
480 |
enddo |
481 |
endif |
482 |
enddo |
483 |
|
484 |
c****************************************************** |
485 |
c Compute Gravity Wave Stress from NTHIN+1 to NBASE * |
486 |
c****************************************************** |
487 |
|
488 |
do i = 1,irun |
489 |
do l = nthin(i)+1,nbase(i) |
490 |
|
491 |
velco = 0.5*( (u(i,Lm+1-L)*ubar(i) + v(i,Lm+1-L)*vbar(i)) |
492 |
. + (u(i,Lm+2-L)*ubar(i) + v(i,Lm+2-L)*vbar(i)) ) |
493 |
. / speed(i) |
494 |
|
495 |
C Convert to Newton/m**2 |
496 |
roave = 0.5*(ro(i,L-1)+ro(i,L)) * 100.0 |
497 |
|
498 |
if( velco.le.0.0 ) then |
499 |
tensio(i,L) = tensio(i,L-1) |
500 |
goto 1500 |
501 |
endif |
502 |
|
503 |
c Froude number squared |
504 |
c --------------------- |
505 |
fro2 = bv(i,L)/(akwnmb*roave*velco*velco*velco)*tensio(i,L-1) |
506 |
deluu = u(i,Lm+1-L)-u(i,Lm+2-L) |
507 |
delvv = v(i,Lm+1-L)-v(i,Lm+2-L) |
508 |
delve2 = ( deluu*deluu + delvv*delvv ) |
509 |
|
510 |
c Compute Richarson Number |
511 |
c ------------------------ |
512 |
if( delve2.ne.0.0 ) then |
513 |
delz = dz(i,L) |
514 |
vsqua = bv(i,L)*bv(i,L) |
515 |
richsn = delz*delz*vsqua/delve2 |
516 |
else |
517 |
richsn = 99999.0 |
518 |
endif |
519 |
|
520 |
if( richsn.le.0.25 ) then |
521 |
tensio(i,L) = tensio(i,L-1) |
522 |
goto 1500 |
523 |
endif |
524 |
|
525 |
c Stress in the Base Layer changes if the local Froude number |
526 |
c exceeds the Critical Froude number |
527 |
c ---------------------------------- |
528 |
crifro = 1.0 - 0.25/richsn |
529 |
crif2 = crifro*crifro |
530 |
if( l.eq.2 ) crif2 = min(0.7 _d 0,crif2) |
531 |
|
532 |
if( fro2.gt.crif2 ) then |
533 |
tensio(i,L) = crif2/fro2*tensio(i,L-1) |
534 |
else |
535 |
tensio(i,L) = tensio(i,L-1) |
536 |
endif |
537 |
|
538 |
1500 continue |
539 |
xtens(i,L) = tensio(i,L)*cos(ang(i)) |
540 |
ytens(i,L) = tensio(i,L)*sin(ang(i)) |
541 |
|
542 |
enddo |
543 |
enddo |
544 |
|
545 |
c****************************************************** |
546 |
c Compute Gravity Wave Stress from Base+1 to Top * |
547 |
c****************************************************** |
548 |
|
549 |
do i = 1,irun |
550 |
icrilv(i) = 0 |
551 |
enddo |
552 |
|
553 |
do i = 1,irun |
554 |
do l = nbase(i)+1,Lm+1 |
555 |
|
556 |
tensio(i,L) = 0.0 |
557 |
|
558 |
c Check for Critical Level Absorption |
559 |
c ----------------------------------- |
560 |
if( icrilv(i).eq.1 ) goto 130 |
561 |
|
562 |
c Let Remaining Stress escape out the top edge of model |
563 |
c ----------------------------------------------------- |
564 |
if( l.eq.Lm+1 ) then |
565 |
tensio(i,L) = tensio(i,L-1) |
566 |
goto 130 |
567 |
endif |
568 |
|
569 |
roave = 0.5*(ro(i,L-1)+ro(i,L)) * 100.0 |
570 |
vai1 = (t(i,Lm+1-L)-t(i,Lm+2-L))/dz(i,L)+gocp |
571 |
|
572 |
if( vai1.lt.0.0 ) then |
573 |
icrilv(i) = 1 |
574 |
tensio(i,L) = 0.0 |
575 |
goto 130 |
576 |
endif |
577 |
|
578 |
vai2 = 2.0*grav/(t(i,Lm+1-L)+t(i,Lm+2-L)) |
579 |
vsqua = vai1*vai2 |
580 |
vaisd = sqrt(vsqua) |
581 |
|
582 |
velco = 0.5*( (u(i,Lm+1-L)*ubar(i) + v(i,Lm+1-L)*vbar(i)) |
583 |
. + (u(i,Lm+2-L)*ubar(i) + v(i,Lm+2-L)*vbar(i)) ) |
584 |
. / speed(i) |
585 |
|
586 |
if( velco.lt.0.0 ) then |
587 |
icrilv(i) = 1 |
588 |
tensio(i,L) = 0.0 |
589 |
goto 130 |
590 |
endif |
591 |
|
592 |
c Froude number squared |
593 |
c --------------------- |
594 |
fro2 = vaisd/(akwnmb*roave*velco*velco*velco)*tensio(i,L-1) |
595 |
deluu = u(i,Lm+1-L)-u(i,Lm+2-L) |
596 |
delvv = v(i,Lm+1-L)-v(i,Lm+2-L) |
597 |
delve2 = ( deluu*deluu + delvv*delvv ) |
598 |
|
599 |
c Compute Richarson Number |
600 |
c ------------------------ |
601 |
if( delve2.ne.0.0 ) then |
602 |
delz = dz(i,L) |
603 |
richsn = delz*delz*vsqua/delve2 |
604 |
else |
605 |
richsn = 99999.0 |
606 |
endif |
607 |
|
608 |
if( richsn.le.0.25 ) then |
609 |
tensio(i,L) = 0.0 |
610 |
icrilv(i) = 1 |
611 |
goto 130 |
612 |
endif |
613 |
|
614 |
c Stress in Layer changes if the local Froude number |
615 |
c exceeds the Critical Froude number |
616 |
c ---------------------------------- |
617 |
crifro = 1.0 - 0.25/richsn |
618 |
crif2 = crifro*crifro |
619 |
|
620 |
if( fro2.ge.crif2 ) then |
621 |
tensio(i,L) = crif2/fro2*tensio(i,L-1) |
622 |
else |
623 |
tensio(i,L) = tensio(i,L-1) |
624 |
endif |
625 |
|
626 |
130 continue |
627 |
xtens(i,L) = tensio(i,L)*cos(ang(i)) |
628 |
ytens(i,L) = tensio(i,L)*sin(ang(i)) |
629 |
enddo |
630 |
enddo |
631 |
|
632 |
C ****************************************************** |
633 |
C MOMENTUM CHANGE FOR FREE ATMOSPHERE * |
634 |
C ****************************************************** |
635 |
|
636 |
do i = 1,irun |
637 |
do l = nthin(i)+1,Lm |
638 |
coef = -grav*ps(i)/dpres(i,Lm+1-L) |
639 |
dudt(i,Lm+1-L) = coef*(xtens(i,L+1)-xtens(i,L)) |
640 |
dvdt(i,Lm+1-L) = coef*(ytens(i,L+1)-ytens(i,L)) |
641 |
enddo |
642 |
enddo |
643 |
|
644 |
c Momentum change near the surface |
645 |
c -------------------------------- |
646 |
do i = 1,irun |
647 |
coef = grav*ps(i)/(ple(i,Lm+1-nthin(i))-ple(i,Lm+1)) |
648 |
dudt(i,Lm) = coef*(xtens(i,nthin(i)+1)-xtens(i,1)) |
649 |
dvdt(i,Lm) = coef*(ytens(i,nthin(i)+1)-ytens(i,1)) |
650 |
enddo |
651 |
|
652 |
c If Lowest layer is very thin, it is strapped to next layer |
653 |
c ---------------------------------------------------------- |
654 |
do i = 1,irun |
655 |
if( nthin(i).gt.1 ) then |
656 |
do l = 2,nthin(i) |
657 |
dudt(i,Lm+1-L) = dudt(i,Lm) |
658 |
dvdt(i,Lm+1-L) = dvdt(i,Lm) |
659 |
enddo |
660 |
endif |
661 |
enddo |
662 |
|
663 |
c Convert Units to (m/sec**2) |
664 |
c --------------------------- |
665 |
do l = 1,Lm |
666 |
do i = 1,irun |
667 |
dudt(i,L) = - dudt(i,L)/ps(i)*0.01 |
668 |
dvdt(i,L) = - dvdt(i,L)/ps(i)*0.01 |
669 |
enddo |
670 |
enddo |
671 |
|
672 |
return |
673 |
end |