| 1 |
molod |
1.8 |
C $Header: /u/gcmpack/MITgcm/pkg/fizhi/fizhi_gwdrag.F,v 1.7 2005/06/01 18:08:33 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, |
| 5 |
molod |
1.4 |
. dudt,dvdt,dtdt,im,jm,Lm,bi,bj,istrip,npcs,imglobal) |
| 6 |
molod |
1.1 |
C*********************************************************************** |
| 7 |
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C |
| 8 |
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C PURPOSE: |
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C ======== |
| 10 |
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C Driver Routine for Gravity Wave Drag |
| 11 |
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C |
| 12 |
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C INPUT: |
| 13 |
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C ====== |
| 14 |
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C myid ....... Process ID |
| 15 |
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C pz ....... Surface Pressure [im,jm] |
| 16 |
molod |
1.4 |
C pl ....... 3D pressure field [im,jm,Lm] |
| 17 |
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C ple ....... 3d pressure at model level edges [im,jm,Lm+1] |
| 18 |
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C dpres ....... pressure difference across level [im,jm,Lm] |
| 19 |
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C pkz ....... pressure**kappa [im,jm,Lm] |
| 20 |
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C uz ....... zonal velocity [im,jm,Lm] |
| 21 |
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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 |
| 25 |
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C im ....... number of grid points in x direction |
| 26 |
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C jm ....... number of grid points in y direction |
| 27 |
molod |
1.4 |
C Lm ....... number of grid points in vertical |
| 28 |
molod |
1.1 |
C istrip ...... 'strip' length for cache size control |
| 29 |
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C npcs ....... number of strips |
| 30 |
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C imglobal .... (avg) number of longitude points around the globe |
| 31 |
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C |
| 32 |
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C INPUT/OUTPUT: |
| 33 |
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C ============ |
| 34 |
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C dudt ....... Updated U-Wind Tendency including Gravity Wave Drag |
| 35 |
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C dvdt ....... Updated V-Wind Tendency including Gravity Wave Drag |
| 36 |
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C dtdt ....... Updated Pi*Theta Tendency including Gravity Wave Drag |
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C |
| 38 |
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C*********************************************************************** |
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implicit none |
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c Input Variables |
| 42 |
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c --------------- |
| 43 |
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) |
| 46 |
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_RL ple(im,jm,Lm+1) |
| 47 |
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_RL dpres(im,jm,Lm) |
| 48 |
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_RL pkz(im,jm,Lm) |
| 49 |
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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) |
| 57 |
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_RL dtdt(im,jm,Lm) |
| 58 |
molod |
1.1 |
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| 59 |
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c Local Variables |
| 60 |
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c --------------- |
| 61 |
molod |
1.4 |
_RL tv(im,jm,Lm) |
| 62 |
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_RL dragu(im,jm,Lm), dragv(im,jm,Lm) |
| 63 |
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_RL dragt(im,jm,Lm) |
| 64 |
molod |
1.2 |
_RL dragx(im,jm), dragy(im,jm) |
| 65 |
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_RL sumu(im,jm) |
| 66 |
molod |
1.1 |
integer nthin(im,jm),nbase(im,jm) |
| 67 |
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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) |
| 73 |
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_RL dragus(istrip,Lm), dragvs(istrip,Lm) |
| 74 |
molod |
1.2 |
_RL dragxs(istrip), dragys(istrip) |
| 75 |
molod |
1.4 |
_RL plstr(istrip,Lm),plestr(istrip,Lm),dpresstr(istrip,Lm) |
| 76 |
molod |
1.1 |
integer nthinstr(istrip),nbasestr(istrip) |
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| 78 |
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integer n,i,j,L |
| 79 |
molod |
1.2 |
_RL getcon, pi |
| 80 |
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_RL grav, rgas, cp, cpinv, lstar |
| 81 |
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#ifdef ALLOW_DIAGNOSTICS |
| 82 |
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logical diagnostics_is_on |
| 83 |
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external diagnostics_is_on |
| 84 |
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_RL tmpdiag(im,jm) |
| 85 |
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#endif |
| 86 |
molod |
1.1 |
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| 87 |
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c Initialization |
| 88 |
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c -------------- |
| 89 |
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pi = 4.0*atan(1.0) |
| 90 |
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grav = getcon('GRAVITY') |
| 91 |
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rgas = getcon('RGAS') |
| 92 |
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cp = getcon('CP') |
| 93 |
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cpinv = 1.0/cp |
| 94 |
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lstar = 2*getcon('EARTH RADIUS')*cos(pi/3.0)/imglobal |
| 95 |
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| 96 |
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c Compute NTHIN and NBASE |
| 97 |
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c ----------------------- |
| 98 |
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do j=1,jm |
| 99 |
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do i=1,im |
| 100 |
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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 |
| 107 |
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10 continue |
| 108 |
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 |
| 112 |
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endif |
| 113 |
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enddo |
| 114 |
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20 continue |
| 115 |
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 |
molod |
1.1 |
c Compute Topography Sub-Grid Standard Deviation |
| 124 |
molod |
1.4 |
c and constrain the Maximum Value |
| 125 |
molod |
1.1 |
c ---------------------------------------------- |
| 126 |
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do j=1,jm |
| 127 |
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do i=1,im |
| 128 |
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phis_std(i,j) = min( 400.0, sqrt( max(0.0,phis_var(i,j)) )/grav ) |
| 129 |
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enddo |
| 130 |
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enddo |
| 131 |
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| 132 |
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c Compute Virtual Temperatures |
| 133 |
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c ---------------------------- |
| 134 |
molod |
1.4 |
do L = 1,Lm |
| 135 |
molod |
1.1 |
do j = 1,jm |
| 136 |
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do i = 1,im |
| 137 |
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tv(i,j,L) = tz(i,j,L)*pkz(i,j,L)*(1.+.609*qz(i,j,L)) |
| 138 |
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enddo |
| 139 |
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enddo |
| 140 |
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enddo |
| 141 |
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| 142 |
molod |
1.4 |
do L = 1,Lm |
| 143 |
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do j = 1,jm |
| 144 |
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do i = 1,im |
| 145 |
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dragu(i,j,L) = 0. |
| 146 |
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dragv(i,j,L) = 0. |
| 147 |
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dragt(i,j,L) = 0. |
| 148 |
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enddo |
| 149 |
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enddo |
| 150 |
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enddo |
| 151 |
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| 152 |
molod |
1.1 |
c Call Gravity Wave Drag Paramterization on A-Grid |
| 153 |
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c ------------------------------------------------ |
| 154 |
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| 155 |
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do n=1,npcs |
| 156 |
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| 157 |
molod |
1.7 |
call stripit ( phis_std,std,im*jm,im*jm,istrip,1,n ) |
| 158 |
molod |
1.1 |
|
| 159 |
molod |
1.7 |
call stripit ( pz,ps,im*jm,im*jm,istrip,1 ,n ) |
| 160 |
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call stripit ( uz,us,im*jm,im*jm,istrip,Lm,n ) |
| 161 |
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call stripit ( vz,vs,im*jm,im*jm,istrip,Lm,n ) |
| 162 |
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call stripit ( tv,ts,im*jm,im*jm,istrip,Lm,n ) |
| 163 |
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call stripit ( pl,plstr,im*jm,im*jm,istrip,Lm,n ) |
| 164 |
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call stripit ( ple,plestr,im*jm,im*jm,istrip,Lm,n ) |
| 165 |
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call stripit ( dpres,dpresstr,im*jm,im*jm,istrip,Lm,n ) |
| 166 |
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call stripitint ( nthin,nthinstr,im*jm,im*jm,istrip,1,n ) |
| 167 |
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call stripitint ( nbase,nbasestr,im*jm,im*jm,istrip,1,n ) |
| 168 |
molod |
1.1 |
|
| 169 |
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call GWDD ( ps,us,vs,ts, |
| 170 |
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. dragus,dragvs,dragxs,dragys,std, |
| 171 |
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. plstr,plestr,dpresstr,grav,rgas,cp, |
| 172 |
molod |
1.4 |
. istrip,Lm,nthinstr,nbasestr,lstar ) |
| 173 |
molod |
1.1 |
|
| 174 |
molod |
1.7 |
call pastit( dragus,dragu,istrip,im*jm,im*jm,Lm,n ) |
| 175 |
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call pastit( dragvs,dragv,istrip,im*jm,im*jm,Lm,n ) |
| 176 |
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call pastit( dragxs,dragx,istrip,im*jm,im*jm,1 ,n ) |
| 177 |
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call pastit( dragys,dragy,istrip,im*jm,im*jm,1 ,n ) |
| 178 |
molod |
1.1 |
|
| 179 |
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enddo |
| 180 |
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| 181 |
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c Add Gravity-Wave Drag to Wind and Theta Tendencies |
| 182 |
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c -------------------------------------------------- |
| 183 |
molod |
1.4 |
do L = 1,Lm |
| 184 |
molod |
1.1 |
do j = 1,jm |
| 185 |
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do i = 1,im |
| 186 |
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dragu(i,j,L) = sign( min(0.006,abs(dragu(i,j,L))),dragu(i,j,L) ) |
| 187 |
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dragv(i,j,L) = sign( min(0.006,abs(dragv(i,j,L))),dragv(i,j,L) ) |
| 188 |
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dragt(i,j,L) = -( uz(i,j,L)*dragu(i,j,L)+vz(i,j,L)*dragv(i,j,L) ) |
| 189 |
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. *cpinv |
| 190 |
molod |
1.5 |
dudt(i,j,L) = dudt(i,j,L) + dragu(i,j,L) |
| 191 |
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dvdt(i,j,L) = dvdt(i,j,L) + dragv(i,j,L) |
| 192 |
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dtdt(i,j,L) = dtdt(i,j,L) + dragt(i,j,L)*pz(i,j)/pkz(i,j,L) |
| 193 |
molod |
1.1 |
enddo |
| 194 |
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enddo |
| 195 |
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enddo |
| 196 |
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| 197 |
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c Compute Diagnostics |
| 198 |
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c ------------------- |
| 199 |
molod |
1.2 |
#ifdef ALLOW_DIAGNOSTICS |
| 200 |
molod |
1.4 |
do L = 1,Lm |
| 201 |
molod |
1.2 |
|
| 202 |
|
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if(diagnostics_is_on('GWDU ',myid) ) then |
| 203 |
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do j=1,jm |
| 204 |
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do i=1,im |
| 205 |
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tmpdiag(i,j) = dragu(i,j,L)*86400 |
| 206 |
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enddo |
| 207 |
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enddo |
| 208 |
|
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call diagnostics_fill(tmpdiag,'GWDU ',L,1,3,bi,bj,myid) |
| 209 |
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endif |
| 210 |
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| 211 |
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if(diagnostics_is_on('GWDV ',myid) ) then |
| 212 |
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do j=1,jm |
| 213 |
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do i=1,im |
| 214 |
|
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tmpdiag(i,j) = dragv(i,j,L)*86400 |
| 215 |
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enddo |
| 216 |
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enddo |
| 217 |
|
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call diagnostics_fill(tmpdiag,'GWDV ',L,1,3,bi,bj,myid) |
| 218 |
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endif |
| 219 |
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| 220 |
|
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if(diagnostics_is_on('GWDT ',myid) ) then |
| 221 |
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do j=1,jm |
| 222 |
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do i=1,im |
| 223 |
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tmpdiag(i,j) = dragt(i,j,L)*86400 |
| 224 |
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enddo |
| 225 |
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enddo |
| 226 |
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call diagnostics_fill(tmpdiag,'GWDT ',L,1,3,bi,bj,myid) |
| 227 |
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endif |
| 228 |
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| 229 |
molod |
1.1 |
enddo |
| 230 |
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| 231 |
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c Gravity Wave Drag at Surface (U-Wind) |
| 232 |
|
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c ------------------------------------- |
| 233 |
molod |
1.2 |
if(diagnostics_is_on('GWDUS ',myid) ) then |
| 234 |
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call diagnostics_fill(dragx,'GWDUS ',0,1,3,bi,bj,myid) |
| 235 |
molod |
1.1 |
endif |
| 236 |
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| 237 |
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c Gravity Wave Drag at Surface (V-Wind) |
| 238 |
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c ------------------------------------- |
| 239 |
molod |
1.2 |
if(diagnostics_is_on('GWDVS ',myid) ) then |
| 240 |
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call diagnostics_fill(dragy,'GWDVS ',0,1,3,bi,bj,myid) |
| 241 |
molod |
1.1 |
endif |
| 242 |
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| 243 |
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c Gravity Wave Drag at Model Top (U-Wind) |
| 244 |
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c --------------------------------------- |
| 245 |
molod |
1.2 |
if(diagnostics_is_on('GWDUT ',myid) ) then |
| 246 |
molod |
1.1 |
do j = 1,jm |
| 247 |
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do i = 1,im |
| 248 |
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sumu(i,j) = 0.0 |
| 249 |
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enddo |
| 250 |
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enddo |
| 251 |
molod |
1.4 |
do L = 1,Lm |
| 252 |
molod |
1.1 |
do j = 1,jm |
| 253 |
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do i = 1,im |
| 254 |
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sumu(i,j) = sumu(i,j) + dragu(i,j,L)*dpres(i,j,L)/pz(i,j) |
| 255 |
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enddo |
| 256 |
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enddo |
| 257 |
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enddo |
| 258 |
molod |
1.2 |
do j=1,jm |
| 259 |
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do i=1,im |
| 260 |
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tmpdiag(i,j) = dragx(i,j) + sumu(i,j)*pz(i,j)/grav*100 |
| 261 |
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enddo |
| 262 |
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enddo |
| 263 |
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call diagnostics_fill(tmpdiag,'GWDUT ',0,1,3,bi,bj,myid) |
| 264 |
molod |
1.1 |
endif |
| 265 |
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| 266 |
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c Gravity Wave Drag at Model Top (V-Wind) |
| 267 |
|
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c --------------------------------------- |
| 268 |
molod |
1.2 |
if(diagnostics_is_on('GWDVT ',myid) ) then |
| 269 |
molod |
1.1 |
do j = 1,jm |
| 270 |
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do i = 1,im |
| 271 |
|
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sumu(i,j) = 0.0 |
| 272 |
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enddo |
| 273 |
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enddo |
| 274 |
molod |
1.4 |
do L = 1,Lm |
| 275 |
molod |
1.1 |
do j = 1,jm |
| 276 |
|
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do i = 1,im |
| 277 |
|
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sumu(i,j) = sumu(i,j) + dragv(i,j,L)*dpres(i,j,L)/pz(i,j) |
| 278 |
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enddo |
| 279 |
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enddo |
| 280 |
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enddo |
| 281 |
molod |
1.2 |
do j=1,jm |
| 282 |
|
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do i=1,im |
| 283 |
|
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tmpdiag(i,j) = dragy(i,j) + sumu(i,j)*pz(i,j)/grav*100 |
| 284 |
|
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enddo |
| 285 |
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enddo |
| 286 |
|
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call diagnostics_fill(tmpdiag,'GWDVT ',0,1,3,bi,bj,myid) |
| 287 |
molod |
1.1 |
endif |
| 288 |
molod |
1.2 |
#endif |
| 289 |
molod |
1.1 |
|
| 290 |
|
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return |
| 291 |
|
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end |
| 292 |
|
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SUBROUTINE GWDD ( ps,u,v,t,dudt,dvdt,xdrag,ydrag, |
| 293 |
|
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. std,pl,ple,dpres, |
| 294 |
molod |
1.4 |
. grav,rgas,cp,irun,Lm,nthin,nbase,lstar ) |
| 295 |
molod |
1.1 |
C*********************************************************************** |
| 296 |
|
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C |
| 297 |
|
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C Description: |
| 298 |
|
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C ============ |
| 299 |
|
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C Parameterization to introduce a Gravity Wave Drag |
| 300 |
|
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C due to sub-grid scale orographic forcing |
| 301 |
|
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C |
| 302 |
|
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C Input: |
| 303 |
|
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C ====== |
| 304 |
|
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C ps ......... Surface Pressure |
| 305 |
|
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C u .......... Zonal Wind (m/sec) |
| 306 |
|
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C v .......... Meridional Wind (m/sec) |
| 307 |
|
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C t .......... Virtual Temperature (deg K) |
| 308 |
|
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C std ........ Standard Deviation of sub-grid Orography (m) |
| 309 |
|
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C ple ....... Model pressure Edge Values |
| 310 |
|
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C pl ........ Model pressure Values |
| 311 |
|
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C dpres....... Model Delta pressure Values |
| 312 |
|
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C grav ....... Gravitational constant (m/sec**2) |
| 313 |
|
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C rgas ....... Gas constant |
| 314 |
|
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C cp ......... Specific Heat at constant pressure |
| 315 |
|
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C irun ....... Number of grid-points in horizontal dimension |
| 316 |
molod |
1.4 |
C Lm ......... Number of grid-points in vertical dimension |
| 317 |
molod |
1.1 |
C lstar ...... Monochromatic Wavelength/(2*pi) |
| 318 |
|
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C |
| 319 |
|
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C Output: |
| 320 |
|
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C ======= |
| 321 |
|
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C dudt ....... Zonal Acceleration due to GW Drag (m/sec**2) |
| 322 |
|
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C dvdt ....... Meridional Acceleration due to GW Drag (m/sec**2) |
| 323 |
|
|
C xdrag ...... Zonal Surface and Base Layer Stress (Pa) |
| 324 |
|
|
C ydrag ...... Meridional Surface and Base Layer Stress (Pa) |
| 325 |
|
|
C |
| 326 |
molod |
1.4 |
C NOTE: Quantities computed locally in GWDD use a |
| 327 |
|
|
C bottom-up counting of levels |
| 328 |
|
|
C The fizhi code uses a top-down so all |
| 329 |
|
|
C Quantities that came in through the arg list |
| 330 |
|
|
C must use reverse vertical indexing!!! |
| 331 |
molod |
1.1 |
C*********************************************************************** |
| 332 |
|
|
|
| 333 |
|
|
implicit none |
| 334 |
|
|
|
| 335 |
|
|
c Input Variables |
| 336 |
|
|
c --------------- |
| 337 |
molod |
1.4 |
integer irun,Lm |
| 338 |
molod |
1.2 |
_RL ps(irun) |
| 339 |
molod |
1.4 |
_RL u(irun,Lm), v(irun,Lm), t(irun,Lm) |
| 340 |
|
|
_RL dudt(irun,Lm), dvdt(irun,Lm) |
| 341 |
molod |
1.2 |
_RL xdrag(irun), ydrag(irun) |
| 342 |
|
|
_RL std(irun) |
| 343 |
molod |
1.4 |
_RL ple(irun,Lm+1), pl(irun,Lm), dpres(irun,Lm) |
| 344 |
molod |
1.2 |
_RL grav, rgas, cp |
| 345 |
molod |
1.1 |
integer nthin(irun),nbase(irun) |
| 346 |
molod |
1.2 |
_RL lstar |
| 347 |
molod |
1.1 |
|
| 348 |
|
|
c Dynamic Allocation Variables |
| 349 |
|
|
c ---------------------------- |
| 350 |
molod |
1.2 |
_RL ubar(irun), vbar(irun), robar(irun) |
| 351 |
|
|
_RL speed(irun), ang(irun) |
| 352 |
molod |
1.4 |
_RL bv(irun,Lm) |
| 353 |
molod |
1.2 |
_RL nbar(irun) |
| 354 |
|
|
|
| 355 |
molod |
1.4 |
_RL XTENS(irun,Lm+1), YTENS(irun,Lm+1) |
| 356 |
|
|
_RL TENSIO(irun,Lm+1) |
| 357 |
molod |
1.2 |
_RL DRAGSF(irun) |
| 358 |
molod |
1.4 |
_RL RO(irun,Lm), DZ(irun,Lm) |
| 359 |
molod |
1.1 |
|
| 360 |
|
|
integer icrilv(irun) |
| 361 |
|
|
|
| 362 |
|
|
c Local Variables |
| 363 |
|
|
c --------------- |
| 364 |
molod |
1.4 |
integer i,L |
| 365 |
|
|
_RL a,g,agrav,akwnmb |
| 366 |
molod |
1.2 |
_RL gocp,roave,roiave,frsf,gstar,vai1,vai2 |
| 367 |
|
|
_RL vaisd,velco,deluu,delvv,delve2,delz,vsqua |
| 368 |
|
|
_RL richsn,crifro,crif2,fro2,coef |
| 369 |
molod |
1.1 |
|
| 370 |
|
|
c Initialization |
| 371 |
|
|
c -------------- |
| 372 |
|
|
a = 1.0 |
| 373 |
|
|
g = 1.0 |
| 374 |
molod |
1.4 |
agrav = 1.0/grav |
| 375 |
molod |
1.1 |
akwnmb = 1.0/lstar |
| 376 |
molod |
1.4 |
gocp = grav/cp |
| 377 |
molod |
1.1 |
|
| 378 |
molod |
1.4 |
c Compute Atmospheric Density (with virtual temp) |
| 379 |
|
|
c ----------------------------------------------- |
| 380 |
|
|
do l = 1,Lm |
| 381 |
molod |
1.1 |
do i = 1,irun |
| 382 |
molod |
1.4 |
ro(i,L) = pl(i,Lm+1-L)/(rgas*t(i,Lm+1-L)) |
| 383 |
molod |
1.1 |
enddo |
| 384 |
|
|
enddo |
| 385 |
|
|
|
| 386 |
|
|
c Compute Layer Thicknesses |
| 387 |
|
|
c ------------------------- |
| 388 |
molod |
1.4 |
do l = 2,Lm |
| 389 |
molod |
1.1 |
do i = 1,irun |
| 390 |
molod |
1.4 |
roiave = ( 1./ro(i,L-1) + 1./ro(i,L) )*0.5 |
| 391 |
molod |
1.5 |
dz(i,L) = agrav*roiave*( pl(i,Lm+2-L)-pl(i,Lm+1-L) ) |
| 392 |
molod |
1.1 |
enddo |
| 393 |
|
|
enddo |
| 394 |
|
|
|
| 395 |
|
|
|
| 396 |
molod |
1.4 |
c*********************************************************************** |
| 397 |
|
|
c Surface and Base Layer Stress * |
| 398 |
|
|
c*********************************************************************** |
| 399 |
molod |
1.1 |
|
| 400 |
|
|
c Definition of Surface Wind Vector |
| 401 |
|
|
c --------------------------------- |
| 402 |
|
|
do i = 1,irun |
| 403 |
molod |
1.4 |
robar(i) = 0.0 |
| 404 |
molod |
1.1 |
ubar(i) = 0.0 |
| 405 |
|
|
vbar(i) = 0.0 |
| 406 |
|
|
enddo |
| 407 |
|
|
|
| 408 |
|
|
do i = 1,irun |
| 409 |
|
|
do L = 1,nbase(i)-1 |
| 410 |
molod |
1.5 |
robar(i) = robar(i) + ro(i,L) * (ple(i,Lm+2-L)-ple(i,Lm+1-L)) |
| 411 |
|
|
ubar(i) = ubar(i) + u(i,Lm+1-L) * (ple(i,Lm+2-L)-ple(i,Lm+1-L)) |
| 412 |
|
|
vbar(i) = vbar(i) + v(i,Lm+1-L) * (ple(i,Lm+2-L)-ple(i,Lm+1-L)) |
| 413 |
molod |
1.1 |
enddo |
| 414 |
|
|
enddo |
| 415 |
|
|
|
| 416 |
|
|
do i = 1,irun |
| 417 |
molod |
1.8 |
robar(i) = robar(i)/(ps(i)-ple(i,Lm+1-(nbase(i)-1))) * 100.0 |
| 418 |
|
|
ubar(i) = ubar(i)/(ps(i)-ple(i,Lm+1-(nbase(i)-1))) |
| 419 |
|
|
vbar(i) = vbar(i)/(ps(i)-ple(i,Lm+1-(nbase(i)-1))) |
| 420 |
molod |
1.1 |
|
| 421 |
molod |
1.4 |
speed(i) = sqrt( ubar(i)*ubar(i) + vbar(i)*vbar(i) ) |
| 422 |
|
|
ang(i) = atan2(vbar(i),ubar(i)) |
| 423 |
molod |
1.1 |
enddo |
| 424 |
|
|
|
| 425 |
|
|
c Brunt Vaisala Frequency |
| 426 |
|
|
c ----------------------- |
| 427 |
|
|
do i = 1,irun |
| 428 |
molod |
1.4 |
do l = 2,nbase(i) |
| 429 |
|
|
vai1 = (t(i,Lm+1-L)-t(i,Lm+2-L))/dz(i,L)+gocp |
| 430 |
|
|
if( vai1.LT.0.0 ) then |
| 431 |
|
|
vai1 = 0.0 |
| 432 |
|
|
endif |
| 433 |
|
|
vai2 = 2.0*grav/( t(i,Lm+1-L)+t(i,Lm+2-L) ) |
| 434 |
|
|
vsqua = vai1*vai2 |
| 435 |
|
|
bv(i,L) = sqrt(vsqua) |
| 436 |
|
|
enddo |
| 437 |
molod |
1.1 |
enddo |
| 438 |
|
|
|
| 439 |
|
|
c Stress at the Surface Level |
| 440 |
|
|
c --------------------------- |
| 441 |
|
|
do i = 1,irun |
| 442 |
molod |
1.4 |
nbar(i) = 0.0 |
| 443 |
molod |
1.1 |
enddo |
| 444 |
|
|
do i = 1,irun |
| 445 |
|
|
do l = 2,nbase(i) |
| 446 |
molod |
1.5 |
nbar(i) = nbar(i) + bv(i,L)*(pl(i,Lm+2-L)-pl(i,Lm+1-L)) |
| 447 |
molod |
1.1 |
enddo |
| 448 |
|
|
enddo |
| 449 |
|
|
|
| 450 |
|
|
do i = 1,irun |
| 451 |
molod |
1.4 |
nbar(i) = nbar(i)/(pl(i,Lm)-pl(i,Lm+1-nbase(i))) |
| 452 |
|
|
frsf = nbar(i)*std(i)/speed(i) |
| 453 |
molod |
1.1 |
|
| 454 |
molod |
1.4 |
if( speed(i).eq.0.0 .or. nbar(i).eq.0.0 ) then |
| 455 |
|
|
tensio(i,1) = 0.0 |
| 456 |
|
|
else |
| 457 |
|
|
gstar = g*frsf*frsf/(frsf*frsf+a*a) |
| 458 |
|
|
tensio(i,1) = gstar*(robar(i)*speed(i)*speed(i)*speed(i)) |
| 459 |
|
|
. / (nbar(i)*lstar) |
| 460 |
|
|
endif |
| 461 |
molod |
1.1 |
|
| 462 |
molod |
1.4 |
xtens(i,1) = tensio(i,1) * cos(ang(i)) |
| 463 |
|
|
ytens(i,1) = tensio(i,1) * sin(ang(i)) |
| 464 |
|
|
dragsf(i) = tensio(i,1) |
| 465 |
|
|
xdrag(i) = xtens(i,1) |
| 466 |
|
|
ydrag(i) = ytens(i,1) |
| 467 |
molod |
1.1 |
enddo |
| 468 |
|
|
|
| 469 |
|
|
c Check for Very thin lowest layer |
| 470 |
|
|
c -------------------------------- |
| 471 |
|
|
do i = 1,irun |
| 472 |
molod |
1.4 |
if( nthin(i).gt.1 ) then |
| 473 |
|
|
do l = 1,nthin(i) |
| 474 |
|
|
tensio(i,L) = tensio(i,1) |
| 475 |
|
|
xtens(i,L) = xtens(i,1) |
| 476 |
|
|
ytens(i,L) = ytens(i,1) |
| 477 |
|
|
enddo |
| 478 |
|
|
endif |
| 479 |
molod |
1.1 |
enddo |
| 480 |
|
|
|
| 481 |
|
|
c****************************************************** |
| 482 |
|
|
c Compute Gravity Wave Stress from NTHIN+1 to NBASE * |
| 483 |
|
|
c****************************************************** |
| 484 |
|
|
|
| 485 |
|
|
do i = 1,irun |
| 486 |
molod |
1.4 |
do l = nthin(i)+1,nbase(i) |
| 487 |
molod |
1.1 |
|
| 488 |
molod |
1.4 |
velco = 0.5*( (u(i,Lm+1-L)*ubar(i) + v(i,Lm+1-L)*vbar(i)) |
| 489 |
|
|
. + (u(i,Lm+2-L)*ubar(i) + v(i,Lm+2-L)*vbar(i)) ) |
| 490 |
molod |
1.1 |
. / speed(i) |
| 491 |
|
|
|
| 492 |
|
|
C Convert to Newton/m**2 |
| 493 |
molod |
1.4 |
roave = 0.5*(ro(i,L-1)+ro(i,L)) * 100.0 |
| 494 |
molod |
1.1 |
|
| 495 |
molod |
1.4 |
if( velco.le.0.0 ) then |
| 496 |
|
|
tensio(i,L) = tensio(i,L-1) |
| 497 |
|
|
goto 1500 |
| 498 |
|
|
endif |
| 499 |
molod |
1.1 |
|
| 500 |
|
|
c Froude number squared |
| 501 |
|
|
c --------------------- |
| 502 |
molod |
1.4 |
fro2 = bv(i,L)/(akwnmb*roave*velco*velco*velco)*tensio(i,L-1) |
| 503 |
|
|
deluu = u(i,Lm+1-L)-u(i,Lm+2-L) |
| 504 |
|
|
delvv = v(i,Lm+1-L)-v(i,Lm+2-L) |
| 505 |
|
|
delve2 = ( deluu*deluu + delvv*delvv ) |
| 506 |
molod |
1.1 |
|
| 507 |
|
|
c Compute Richarson Number |
| 508 |
|
|
c ------------------------ |
| 509 |
molod |
1.4 |
if( delve2.ne.0.0 ) then |
| 510 |
|
|
delz = dz(i,L) |
| 511 |
|
|
vsqua = bv(i,L)*bv(i,L) |
| 512 |
|
|
richsn = delz*delz*vsqua/delve2 |
| 513 |
|
|
else |
| 514 |
|
|
richsn = 99999.0 |
| 515 |
|
|
endif |
| 516 |
|
|
|
| 517 |
|
|
if( richsn.le.0.25 ) then |
| 518 |
|
|
tensio(i,L) = tensio(i,L-1) |
| 519 |
|
|
goto 1500 |
| 520 |
|
|
endif |
| 521 |
molod |
1.1 |
|
| 522 |
|
|
c Stress in the Base Layer changes if the local Froude number |
| 523 |
|
|
c exceeds the Critical Froude number |
| 524 |
|
|
c ---------------------------------- |
| 525 |
molod |
1.4 |
crifro = 1.0 - 0.25/richsn |
| 526 |
|
|
crif2 = crifro*crifro |
| 527 |
|
|
if( l.eq.2 ) crif2 = min(0.7,crif2) |
| 528 |
|
|
|
| 529 |
|
|
if( fro2.gt.crif2 ) then |
| 530 |
|
|
tensio(i,L) = crif2/fro2*tensio(i,L-1) |
| 531 |
|
|
else |
| 532 |
|
|
tensio(i,L) = tensio(i,L-1) |
| 533 |
|
|
endif |
| 534 |
|
|
|
| 535 |
|
|
1500 continue |
| 536 |
|
|
xtens(i,L) = tensio(i,L)*cos(ang(i)) |
| 537 |
|
|
ytens(i,L) = tensio(i,L)*sin(ang(i)) |
| 538 |
molod |
1.1 |
|
| 539 |
molod |
1.4 |
enddo |
| 540 |
molod |
1.1 |
enddo |
| 541 |
|
|
|
| 542 |
|
|
c****************************************************** |
| 543 |
|
|
c Compute Gravity Wave Stress from Base+1 to Top * |
| 544 |
|
|
c****************************************************** |
| 545 |
|
|
|
| 546 |
|
|
do i = 1,irun |
| 547 |
molod |
1.4 |
icrilv(i) = 0 |
| 548 |
molod |
1.1 |
enddo |
| 549 |
|
|
|
| 550 |
|
|
do i = 1,irun |
| 551 |
molod |
1.4 |
do l = nbase(i)+1,Lm+1 |
| 552 |
molod |
1.1 |
|
| 553 |
molod |
1.4 |
tensio(i,L) = 0.0 |
| 554 |
molod |
1.1 |
|
| 555 |
|
|
c Check for Critical Level Absorption |
| 556 |
|
|
c ----------------------------------- |
| 557 |
molod |
1.4 |
if( icrilv(i).eq.1 ) goto 130 |
| 558 |
molod |
1.1 |
|
| 559 |
|
|
c Let Remaining Stress escape out the top edge of model |
| 560 |
|
|
c ----------------------------------------------------- |
| 561 |
molod |
1.4 |
if( l.eq.Lm+1 ) then |
| 562 |
|
|
tensio(i,L) = tensio(i,L-1) |
| 563 |
|
|
goto 130 |
| 564 |
|
|
endif |
| 565 |
molod |
1.1 |
|
| 566 |
molod |
1.4 |
roave = 0.5*(ro(i,L-1)+ro(i,L)) * 100.0 |
| 567 |
|
|
vai1 = (t(i,Lm+1-L)-t(i,Lm+2-L))/dz(i,L)+gocp |
| 568 |
molod |
1.1 |
|
| 569 |
molod |
1.4 |
if( vai1.lt.0.0 ) then |
| 570 |
|
|
icrilv(i) = 1 |
| 571 |
|
|
tensio(i,L) = 0.0 |
| 572 |
|
|
goto 130 |
| 573 |
|
|
endif |
| 574 |
|
|
|
| 575 |
|
|
vai2 = 2.0*grav/(t(i,Lm+1-L)+t(i,Lm+2-L)) |
| 576 |
|
|
vsqua = vai1*vai2 |
| 577 |
|
|
vaisd = sqrt(vsqua) |
| 578 |
molod |
1.1 |
|
| 579 |
molod |
1.4 |
velco = 0.5*( (u(i,Lm+1-L)*ubar(i) + v(i,Lm+1-L)*vbar(i)) |
| 580 |
|
|
. + (u(i,Lm+2-L)*ubar(i) + v(i,Lm+2-L)*vbar(i)) ) |
| 581 |
molod |
1.1 |
. / speed(i) |
| 582 |
|
|
|
| 583 |
molod |
1.4 |
if( velco.lt.0.0 ) then |
| 584 |
|
|
icrilv(i) = 1 |
| 585 |
|
|
tensio(i,L) = 0.0 |
| 586 |
|
|
goto 130 |
| 587 |
|
|
endif |
| 588 |
molod |
1.1 |
|
| 589 |
|
|
c Froude number squared |
| 590 |
|
|
c --------------------- |
| 591 |
molod |
1.4 |
fro2 = vaisd/(akwnmb*roave*velco*velco*velco)*tensio(i,L-1) |
| 592 |
|
|
deluu = u(i,Lm+1-L)-u(i,Lm+2-L) |
| 593 |
|
|
delvv = v(i,Lm+1-L)-v(i,Lm+2-L) |
| 594 |
|
|
delve2 = ( deluu*deluu + delvv*delvv ) |
| 595 |
molod |
1.1 |
|
| 596 |
|
|
c Compute Richarson Number |
| 597 |
|
|
c ------------------------ |
| 598 |
molod |
1.4 |
if( delve2.ne.0.0 ) then |
| 599 |
|
|
delz = dz(i,L) |
| 600 |
|
|
richsn = delz*delz*vsqua/delve2 |
| 601 |
|
|
else |
| 602 |
|
|
richsn = 99999.0 |
| 603 |
|
|
endif |
| 604 |
|
|
|
| 605 |
|
|
if( richsn.le.0.25 ) then |
| 606 |
|
|
tensio(i,L) = 0.0 |
| 607 |
|
|
icrilv(i) = 1 |
| 608 |
|
|
goto 130 |
| 609 |
|
|
endif |
| 610 |
molod |
1.1 |
|
| 611 |
|
|
c Stress in Layer changes if the local Froude number |
| 612 |
|
|
c exceeds the Critical Froude number |
| 613 |
|
|
c ---------------------------------- |
| 614 |
molod |
1.4 |
crifro = 1.0 - 0.25/richsn |
| 615 |
|
|
crif2 = crifro*crifro |
| 616 |
molod |
1.1 |
|
| 617 |
molod |
1.4 |
if( fro2.ge.crif2 ) then |
| 618 |
|
|
tensio(i,L) = crif2/fro2*tensio(i,L-1) |
| 619 |
|
|
else |
| 620 |
|
|
tensio(i,L) = tensio(i,L-1) |
| 621 |
|
|
endif |
| 622 |
|
|
|
| 623 |
|
|
130 continue |
| 624 |
|
|
xtens(i,L) = tensio(i,L)*cos(ang(i)) |
| 625 |
|
|
ytens(i,L) = tensio(i,L)*sin(ang(i)) |
| 626 |
|
|
enddo |
| 627 |
molod |
1.1 |
enddo |
| 628 |
|
|
|
| 629 |
|
|
C ****************************************************** |
| 630 |
|
|
C MOMENTUM CHANGE FOR FREE ATMOSPHERE * |
| 631 |
|
|
C ****************************************************** |
| 632 |
|
|
|
| 633 |
|
|
do i = 1,irun |
| 634 |
molod |
1.4 |
do l = nthin(i)+1,Lm |
| 635 |
molod |
1.5 |
coef = -grav*ps(i)/dpres(i,Lm+1-L) |
| 636 |
molod |
1.4 |
dudt(i,Lm+1-L) = coef*(xtens(i,L+1)-xtens(i,L)) |
| 637 |
|
|
dvdt(i,Lm+1-L) = coef*(ytens(i,L+1)-ytens(i,L)) |
| 638 |
molod |
1.1 |
enddo |
| 639 |
|
|
enddo |
| 640 |
|
|
|
| 641 |
|
|
c Momentum change near the surface |
| 642 |
|
|
c -------------------------------- |
| 643 |
|
|
do i = 1,irun |
| 644 |
molod |
1.5 |
coef = grav*ps(i)/(ple(i,Lm+1-nthin(i))-ple(i,Lm+1)) |
| 645 |
molod |
1.4 |
dudt(i,Lm) = coef*(xtens(i,nthin(i)+1)-xtens(i,1)) |
| 646 |
|
|
dvdt(i,Lm) = coef*(ytens(i,nthin(i)+1)-ytens(i,1)) |
| 647 |
molod |
1.1 |
enddo |
| 648 |
|
|
|
| 649 |
|
|
c If Lowest layer is very thin, it is strapped to next layer |
| 650 |
|
|
c ---------------------------------------------------------- |
| 651 |
|
|
do i = 1,irun |
| 652 |
molod |
1.4 |
if( nthin(i).gt.1 ) then |
| 653 |
|
|
do l = 2,nthin(i) |
| 654 |
|
|
dudt(i,Lm+1-L) = dudt(i,Lm) |
| 655 |
|
|
dvdt(i,Lm+1-L) = dvdt(i,Lm) |
| 656 |
|
|
enddo |
| 657 |
|
|
endif |
| 658 |
molod |
1.1 |
enddo |
| 659 |
|
|
|
| 660 |
|
|
c Convert Units to (m/sec**2) |
| 661 |
|
|
c --------------------------- |
| 662 |
molod |
1.4 |
do l = 1,Lm |
| 663 |
molod |
1.1 |
do i = 1,irun |
| 664 |
molod |
1.4 |
dudt(i,L) = - dudt(i,L)/ps(i)*0.01 |
| 665 |
|
|
dvdt(i,L) = - dvdt(i,L)/ps(i)*0.01 |
| 666 |
molod |
1.1 |
enddo |
| 667 |
|
|
enddo |
| 668 |
|
|
|
| 669 |
|
|
return |
| 670 |
|
|
end |
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