| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/fizhi/fizhi_gwdrag.F,v 1.1 2005/05/20 23:50:52 molod Exp $ |
| 2 |
C $Name: $ |
| 3 |
#include "FIZHI_OPTIONS.h" |
| 4 |
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 |
| 26 |
C jm ....... number of grid points in y direction |
| 27 |
C lm ....... number of grid points in vertical |
| 28 |
C istrip ...... 'strip' length for cache size control |
| 29 |
C npcs ....... number of strips |
| 30 |
C imglobal .... (avg) number of longitude points around the globe |
| 31 |
C |
| 32 |
C INPUT/OUTPUT: |
| 33 |
C ============ |
| 34 |
C dudt ....... Updated U-Wind Tendency including Gravity Wave Drag |
| 35 |
C dvdt ....... Updated V-Wind Tendency including Gravity Wave Drag |
| 36 |
C dtdt ....... Updated Pi*Theta Tendency including Gravity Wave Drag |
| 37 |
C |
| 38 |
C*********************************************************************** |
| 39 |
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 |
|
| 59 |
c Local Variables |
| 60 |
c --------------- |
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_RL tv(im,jm,lm) |
| 62 |
_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) |
| 65 |
_RL sumu(im,jm) |
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integer nthin(im,jm),nbase(im,jm) |
| 67 |
integer nthini, nbasei |
| 68 |
|
| 69 |
_RL phis_std(im,jm) |
| 70 |
|
| 71 |
_RL std(istrip), ps(istrip) |
| 72 |
_RL us(istrip,lm), vs(istrip,lm), ts(istrip,lm) |
| 73 |
_RL dragus(istrip,lm), dragvs(istrip,lm) |
| 74 |
_RL dragxs(istrip), dragys(istrip) |
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_RL plstr(istrip,lm),plestr(istrip,lm),dpresstr(istrip,lm) |
| 76 |
integer nthinstr(istrip),nbasestr(istrip) |
| 77 |
|
| 78 |
integer n,i,j,L |
| 79 |
_RL getcon, pi |
| 80 |
_RL grav, rgas, cp, cpinv, lstar |
| 81 |
#ifdef ALLOW_DIAGNOSTICS |
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logical diagnostics_is_on |
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external diagnostics_is_on |
| 84 |
_RL tmpdiag(im,jm) |
| 85 |
#endif |
| 86 |
|
| 87 |
c Initialization |
| 88 |
c -------------- |
| 89 |
pi = 4.0*atan(1.0) |
| 90 |
grav = getcon('GRAVITY') |
| 91 |
rgas = getcon('RGAS') |
| 92 |
cp = getcon('CP') |
| 93 |
cpinv = 1.0/cp |
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lstar = 2*getcon('EARTH RADIUS')*cos(pi/3.0)/imglobal |
| 95 |
|
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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 |
| 100 |
|
| 101 |
do nthini = 1,lm+1 |
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if( 1000.0-ple(i,j,lm+2-nthini).gt.25. ) then |
| 103 |
nthin(i,j) = nthini |
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goto 10 |
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endif |
| 106 |
enddo |
| 107 |
10 continue |
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do nbasei = 1,lm+1 |
| 109 |
if( ple(i,j,lm+2-nbasei).lt.666.7 ) then |
| 110 |
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 |
| 115 |
if( 666.7-ple(i,j,lm+2-nbase(i,j)) .gt. |
| 116 |
. ple(i,j,lm+3-nbase(i,j))-666.7 ) then |
| 117 |
nbase(i,j) = nbase(i,j)-1 |
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endif |
| 119 |
|
| 120 |
enddo |
| 121 |
enddo |
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c Compute Topography Sub-Grid Standard Deviation |
| 123 |
c ---------------------------------------------- |
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do j=1,jm |
| 125 |
do i=1,im |
| 126 |
phis_std(i,j) = min( 400.0, sqrt( max(0.0,phis_var(i,j)) )/grav ) |
| 127 |
enddo |
| 128 |
enddo |
| 129 |
|
| 130 |
c Compute Virtual Temperatures |
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c ---------------------------- |
| 132 |
do L = 1,lm |
| 133 |
do j = 1,jm |
| 134 |
do i = 1,im |
| 135 |
tv(i,j,L) = tz(i,j,L)*pkz(i,j,L)*(1.+.609*qz(i,j,L)) |
| 136 |
enddo |
| 137 |
enddo |
| 138 |
enddo |
| 139 |
|
| 140 |
c Call Gravity Wave Drag Paramterization on A-Grid |
| 141 |
c ------------------------------------------------ |
| 142 |
|
| 143 |
do n=1,npcs |
| 144 |
|
| 145 |
call strip ( phis_std,std,im*jm,istrip,1,n ) |
| 146 |
|
| 147 |
call strip ( pz,ps,im*jm,istrip,1 ,n ) |
| 148 |
call strip ( uz,us,im*jm,istrip,lm,n ) |
| 149 |
call strip ( vz,vs,im*jm,istrip,lm,n ) |
| 150 |
call strip ( tv,ts,im*jm,istrip,lm,n ) |
| 151 |
call strip ( pl,plstr,im*jm,istrip,lm,n ) |
| 152 |
call strip ( ple,plestr,im*jm,istrip,lm,n ) |
| 153 |
call strip ( dpres,dpresstr,im*jm,istrip,lm,n ) |
| 154 |
call stripint ( nthin,nthinstr,im*jm,istrip,lm,n ) |
| 155 |
call stripint ( nbase,nbasestr,im*jm,istrip,lm,n ) |
| 156 |
|
| 157 |
call GWDD ( ps,us,vs,ts, |
| 158 |
. dragus,dragvs,dragxs,dragys,std, |
| 159 |
. plstr,plestr,dpresstr,grav,rgas,cp, |
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. istrip,lm,nthinstr,nbasestr,lstar ) |
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|
| 162 |
call paste ( dragus,dragu,istrip,im*jm,lm,n ) |
| 163 |
call paste ( dragvs,dragv,istrip,im*jm,lm,n ) |
| 164 |
call paste ( dragxs,dragx,istrip,im*jm,1 ,n ) |
| 165 |
call paste ( dragys,dragy,istrip,im*jm,1 ,n ) |
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|
| 167 |
enddo |
| 168 |
|
| 169 |
c Add Gravity-Wave Drag to Wind and Theta Tendencies |
| 170 |
c -------------------------------------------------- |
| 171 |
do L = 1,lm |
| 172 |
do j = 1,jm |
| 173 |
do i = 1,im |
| 174 |
dragu(i,j,L) = sign( min(0.006,abs(dragu(i,j,L))),dragu(i,j,L) ) |
| 175 |
dragv(i,j,L) = sign( min(0.006,abs(dragv(i,j,L))),dragv(i,j,L) ) |
| 176 |
dragt(i,j,L) = -( uz(i,j,L)*dragu(i,j,L)+vz(i,j,L)*dragv(i,j,L) ) |
| 177 |
. *cpinv |
| 178 |
dudt(i,j,L) = dudt(i,j,L) + dragu(i,j,L) |
| 179 |
dvdt(i,j,L) = dvdt(i,j,L) + dragv(i,j,L) |
| 180 |
dtdt(i,j,L) = dtdt(i,j,L) + dragt(i,j,L)*pz(i,j)/pkz(i,j,L) |
| 181 |
enddo |
| 182 |
enddo |
| 183 |
enddo |
| 184 |
|
| 185 |
c Compute Diagnostics |
| 186 |
c ------------------- |
| 187 |
#ifdef ALLOW_DIAGNOSTICS |
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do L = 1,lm |
| 189 |
|
| 190 |
if(diagnostics_is_on('GWDU ',myid) ) then |
| 191 |
do j=1,jm |
| 192 |
do i=1,im |
| 193 |
tmpdiag(i,j) = dragu(i,j,L)*86400 |
| 194 |
enddo |
| 195 |
enddo |
| 196 |
call diagnostics_fill(tmpdiag,'GWDU ',L,1,3,bi,bj,myid) |
| 197 |
endif |
| 198 |
|
| 199 |
if(diagnostics_is_on('GWDV ',myid) ) then |
| 200 |
do j=1,jm |
| 201 |
do i=1,im |
| 202 |
tmpdiag(i,j) = dragv(i,j,L)*86400 |
| 203 |
enddo |
| 204 |
enddo |
| 205 |
call diagnostics_fill(tmpdiag,'GWDV ',L,1,3,bi,bj,myid) |
| 206 |
endif |
| 207 |
|
| 208 |
if(diagnostics_is_on('GWDT ',myid) ) then |
| 209 |
do j=1,jm |
| 210 |
do i=1,im |
| 211 |
tmpdiag(i,j) = dragt(i,j,L)*86400 |
| 212 |
enddo |
| 213 |
enddo |
| 214 |
call diagnostics_fill(tmpdiag,'GWDT ',L,1,3,bi,bj,myid) |
| 215 |
endif |
| 216 |
|
| 217 |
enddo |
| 218 |
|
| 219 |
c Gravity Wave Drag at Surface (U-Wind) |
| 220 |
c ------------------------------------- |
| 221 |
if(diagnostics_is_on('GWDUS ',myid) ) then |
| 222 |
call diagnostics_fill(dragx,'GWDUS ',0,1,3,bi,bj,myid) |
| 223 |
endif |
| 224 |
|
| 225 |
c Gravity Wave Drag at Surface (V-Wind) |
| 226 |
c ------------------------------------- |
| 227 |
if(diagnostics_is_on('GWDVS ',myid) ) then |
| 228 |
call diagnostics_fill(dragy,'GWDVS ',0,1,3,bi,bj,myid) |
| 229 |
endif |
| 230 |
|
| 231 |
c Gravity Wave Drag at Model Top (U-Wind) |
| 232 |
c --------------------------------------- |
| 233 |
if(diagnostics_is_on('GWDUT ',myid) ) then |
| 234 |
do j = 1,jm |
| 235 |
do i = 1,im |
| 236 |
sumu(i,j) = 0.0 |
| 237 |
enddo |
| 238 |
enddo |
| 239 |
do L = 1,lm |
| 240 |
do j = 1,jm |
| 241 |
do i = 1,im |
| 242 |
sumu(i,j) = sumu(i,j) + dragu(i,j,L)*dpres(i,j,L)/pz(i,j) |
| 243 |
enddo |
| 244 |
enddo |
| 245 |
enddo |
| 246 |
do j=1,jm |
| 247 |
do i=1,im |
| 248 |
tmpdiag(i,j) = dragx(i,j) + sumu(i,j)*pz(i,j)/grav*100 |
| 249 |
enddo |
| 250 |
enddo |
| 251 |
call diagnostics_fill(tmpdiag,'GWDUT ',0,1,3,bi,bj,myid) |
| 252 |
endif |
| 253 |
|
| 254 |
c Gravity Wave Drag at Model Top (V-Wind) |
| 255 |
c --------------------------------------- |
| 256 |
if(diagnostics_is_on('GWDVT ',myid) ) then |
| 257 |
do j = 1,jm |
| 258 |
do i = 1,im |
| 259 |
sumu(i,j) = 0.0 |
| 260 |
enddo |
| 261 |
enddo |
| 262 |
do L = 1,lm |
| 263 |
do j = 1,jm |
| 264 |
do i = 1,im |
| 265 |
sumu(i,j) = sumu(i,j) + dragv(i,j,L)*dpres(i,j,L)/pz(i,j) |
| 266 |
enddo |
| 267 |
enddo |
| 268 |
enddo |
| 269 |
do j=1,jm |
| 270 |
do i=1,im |
| 271 |
tmpdiag(i,j) = dragy(i,j) + sumu(i,j)*pz(i,j)/grav*100 |
| 272 |
enddo |
| 273 |
enddo |
| 274 |
call diagnostics_fill(tmpdiag,'GWDVT ',0,1,3,bi,bj,myid) |
| 275 |
endif |
| 276 |
#endif |
| 277 |
|
| 278 |
return |
| 279 |
end |
| 280 |
SUBROUTINE GWDD ( ps,u,v,t,dudt,dvdt,xdrag,ydrag, |
| 281 |
. std,pl,ple,dpres, |
| 282 |
. grav,rgas,cp,irun,lm,nthin,nbase,lstar ) |
| 283 |
C*********************************************************************** |
| 284 |
C |
| 285 |
C Description: |
| 286 |
C ============ |
| 287 |
C Parameterization to introduce a Gravity Wave Drag |
| 288 |
C due to sub-grid scale orographic forcing |
| 289 |
C |
| 290 |
C Input: |
| 291 |
C ====== |
| 292 |
C ps ......... Surface Pressure |
| 293 |
C u .......... Zonal Wind (m/sec) |
| 294 |
C v .......... Meridional Wind (m/sec) |
| 295 |
C t .......... Virtual Temperature (deg K) |
| 296 |
C std ........ Standard Deviation of sub-grid Orography (m) |
| 297 |
C ple ....... Model pressure Edge Values |
| 298 |
C pl ........ Model pressure Values |
| 299 |
C dpres....... Model Delta pressure Values |
| 300 |
C grav ....... Gravitational constant (m/sec**2) |
| 301 |
C rgas ....... Gas constant |
| 302 |
C cp ......... Specific Heat at constant pressure |
| 303 |
C irun ....... Number of grid-points in horizontal dimension |
| 304 |
C lm ......... Number of grid-points in vertical dimension |
| 305 |
C lstar ...... Monochromatic Wavelength/(2*pi) |
| 306 |
C |
| 307 |
C Output: |
| 308 |
C ======= |
| 309 |
C dudt ....... Zonal Acceleration due to GW Drag (m/sec**2) |
| 310 |
C dvdt ....... Meridional Acceleration due to GW Drag (m/sec**2) |
| 311 |
C xdrag ...... Zonal Surface and Base Layer Stress (Pa) |
| 312 |
C ydrag ...... Meridional Surface and Base Layer Stress (Pa) |
| 313 |
C |
| 314 |
C*********************************************************************** |
| 315 |
|
| 316 |
implicit none |
| 317 |
|
| 318 |
c Input Variables |
| 319 |
c --------------- |
| 320 |
integer irun,lm |
| 321 |
_RL ps(irun) |
| 322 |
_RL u(irun,lm), v(irun,lm), t(irun,lm) |
| 323 |
_RL dudt(irun,lm), dvdt(irun,lm) |
| 324 |
_RL xdrag(irun), ydrag(irun) |
| 325 |
_RL std(irun) |
| 326 |
_RL ple(irun,lm+1), pl(irun,lm), dpres(irun,lm) |
| 327 |
_RL grav, rgas, cp |
| 328 |
integer nthin(irun),nbase(irun) |
| 329 |
_RL lstar |
| 330 |
|
| 331 |
c Dynamic Allocation Variables |
| 332 |
c ---------------------------- |
| 333 |
_RL ubar(irun), vbar(irun), robar(irun) |
| 334 |
_RL speed(irun), ang(irun) |
| 335 |
_RL bv(irun,lm) |
| 336 |
_RL nbar(irun) |
| 337 |
|
| 338 |
_RL tstd(irun) |
| 339 |
_RL XTENS(irun,lm+1), YTENS(irun,lm+1) |
| 340 |
_RL TENSIO(irun,lm+1) |
| 341 |
_RL DRAGSF(irun) |
| 342 |
_RL RO(irun,lm), DZ(irun,lm) |
| 343 |
|
| 344 |
integer icrilv(irun) |
| 345 |
|
| 346 |
c Local Variables |
| 347 |
c --------------- |
| 348 |
integer i,l |
| 349 |
_RL a,g,stdmax,agrav,akwnmb |
| 350 |
_RL gocp,roave,roiave,frsf,gstar,vai1,vai2 |
| 351 |
_RL vaisd,velco,deluu,delvv,delve2,delz,vsqua |
| 352 |
_RL richsn,crifro,crif2,fro2,coef |
| 353 |
|
| 354 |
c Initialization |
| 355 |
c -------------- |
| 356 |
a = 1.0 |
| 357 |
g = 1.0 |
| 358 |
agrav = 1.0/GRAV |
| 359 |
akwnmb = 1.0/lstar |
| 360 |
gocp = GRAV/CP |
| 361 |
|
| 362 |
c Constrain the Maximum Value of the Standard Deviation |
| 363 |
c ----------------------------------------------------- |
| 364 |
stdmax = 400. |
| 365 |
do i = 1,irun |
| 366 |
tstd(i) = std(i) |
| 367 |
if( std(i).gt.stdmax ) tstd(i) = stdmax |
| 368 |
enddo |
| 369 |
|
| 370 |
c Compute Atmospheric Density |
| 371 |
c --------------------------- |
| 372 |
do l = 1,lm |
| 373 |
do i = 1,irun |
| 374 |
ro(i,l) = pl(i,l)/(rgas*t(i,lm+1-l)) |
| 375 |
enddo |
| 376 |
enddo |
| 377 |
|
| 378 |
c Compute Layer Thicknesses |
| 379 |
c ------------------------- |
| 380 |
do l = 2,lm |
| 381 |
do i = 1,irun |
| 382 |
roiave = ( 1./ro(i,l-1) + 1./ro(i,l) )*0.5 |
| 383 |
dz(i,l) = agrav*roiave*( pl(i,l-1)-pl(i,l) ) |
| 384 |
enddo |
| 385 |
enddo |
| 386 |
|
| 387 |
|
| 388 |
c****************************************************** |
| 389 |
c Surface and Base Layer Stress * |
| 390 |
c****************************************************** |
| 391 |
|
| 392 |
c Definition of Surface Wind Vector |
| 393 |
c --------------------------------- |
| 394 |
do i = 1,irun |
| 395 |
robar(i) = 0.0 |
| 396 |
ubar(i) = 0.0 |
| 397 |
vbar(i) = 0.0 |
| 398 |
enddo |
| 399 |
|
| 400 |
do i = 1,irun |
| 401 |
do L = 1,nbase(i)-1 |
| 402 |
robar(i) = robar(i) + ro(i,L) *(ple(i,L)-ple(i,L+1)) |
| 403 |
ubar(i) = ubar(i) + u(i,lm+1-L)*(ple(i,L)-ple(i,L+1)) |
| 404 |
vbar(i) = vbar(i) + v(i,lm+1-L)*(ple(i,L)-ple(i,L+1)) |
| 405 |
enddo |
| 406 |
enddo |
| 407 |
|
| 408 |
do i = 1,irun |
| 409 |
robar(i) = robar(i)/(ple(i,1)-ple(i,nbase(i))) * 100.0 |
| 410 |
ubar(i) = ubar(i)/(ple(i,1)-ple(i,nbase(i))) |
| 411 |
vbar(i) = vbar(i)/(ple(i,1)-ple(i,nbase(i))) |
| 412 |
|
| 413 |
speed(i) = SQRT( ubar(i)*ubar(i) + vbar(i)*vbar(i) ) |
| 414 |
ang(i) = ATAN2(vbar(i),ubar(i)) |
| 415 |
|
| 416 |
enddo |
| 417 |
|
| 418 |
c Brunt Vaisala Frequency |
| 419 |
c ----------------------- |
| 420 |
do i = 1,irun |
| 421 |
do l = 2,nbase(i) |
| 422 |
VAI1 = (T(i,lm+1-l)-T(i,lm+2-l))/DZ(i,l)+GOCP |
| 423 |
if( VAI1.LT.0.0 ) then |
| 424 |
VAI1 = 0.0 |
| 425 |
endif |
| 426 |
VAI2 = 2.0*GRAV/( T(i,lm+1-l)+T(i,lm+2-l) ) |
| 427 |
VSQUA = VAI1*VAI2 |
| 428 |
BV(i,l) = SQRT(VSQUA) |
| 429 |
enddo |
| 430 |
enddo |
| 431 |
|
| 432 |
c Stress at the Surface Level |
| 433 |
c --------------------------- |
| 434 |
do i = 1,irun |
| 435 |
nbar(i) = 0.0 |
| 436 |
enddo |
| 437 |
do i = 1,irun |
| 438 |
do l = 2,nbase(i) |
| 439 |
NBAR(i) = NBAR(i) + BV(i,l)*(pl(i,l-1)-pl(i,l)) |
| 440 |
enddo |
| 441 |
enddo |
| 442 |
|
| 443 |
do i = 1,irun |
| 444 |
NBAR(i) = NBAR(i)/(pl(i,1)-pl(i,nbase(i))) |
| 445 |
FRSF = NBAR(i)*tstd(i)/speed(i) |
| 446 |
|
| 447 |
if( speed(i).eq.0.0 .or. nbar(i).eq.0.0 ) then |
| 448 |
TENSIO(i,1) = 0.0 |
| 449 |
else |
| 450 |
GSTAR = G*FRSF*FRSF/(FRSF*FRSF+A*A) |
| 451 |
TENSIO(i,1) = GSTAR*(ROBAR(i)*speed(i)*speed(i)*speed(i)) |
| 452 |
. / (NBAR(i)*LSTAR) |
| 453 |
endif |
| 454 |
|
| 455 |
XTENS(i,1) = TENSIO(i,1) * cos(ang(i)) |
| 456 |
YTENS(i,1) = TENSIO(i,1) * sin(ang(i)) |
| 457 |
DRAGSF(i) = TENSIO(i,1) |
| 458 |
XDRAG(i) = XTENS(i,1) |
| 459 |
YDRAG(i) = YTENS(i,1) |
| 460 |
enddo |
| 461 |
|
| 462 |
c Check for Very thin lowest layer |
| 463 |
c -------------------------------- |
| 464 |
do i = 1,irun |
| 465 |
if( NTHIN(i).gt.1 ) then |
| 466 |
do l = 1,nthin(i) |
| 467 |
TENSIO(i,l) = TENSIO(i,1) |
| 468 |
XTENS(i,l) = XTENS(i,1) |
| 469 |
YTENS(i,l) = YTENS(i,1) |
| 470 |
enddo |
| 471 |
endif |
| 472 |
enddo |
| 473 |
|
| 474 |
c****************************************************** |
| 475 |
c Compute Gravity Wave Stress from NTHIN+1 to NBASE * |
| 476 |
c****************************************************** |
| 477 |
|
| 478 |
do i = 1,irun |
| 479 |
do l = nthin(i)+1,nbase(i) |
| 480 |
|
| 481 |
velco = 0.5*( (u(i,lm+1-l)*ubar(i) + v(i,lm+1-l)*vbar(i)) |
| 482 |
. + (u(i,lm+2-l)*ubar(i) + v(i,lm+2-l)*vbar(i)) ) |
| 483 |
. / speed(i) |
| 484 |
|
| 485 |
C Convert to Newton/m**2 |
| 486 |
roave = 0.5*(ro(i,l-1)+ro(i,l)) * 100.0 |
| 487 |
|
| 488 |
if( VELCO.le.0.0 ) then |
| 489 |
TENSIO(i,l) = TENSIO(i,l-1) |
| 490 |
goto 1500 |
| 491 |
endif |
| 492 |
|
| 493 |
c Froude number squared |
| 494 |
c --------------------- |
| 495 |
FRO2 = bv(i,l)/(AKWNMB*ROAVE*VELCO*VELCO*VELCO)*TENSIO(i,l-1) |
| 496 |
DELUU = u(i,lm+1-l)-u(i,lm+2-l) |
| 497 |
DELVV = v(i,lm+1-l)-v(i,lm+2-l) |
| 498 |
DELVE2 = ( DELUU*DELUU + DELVV*DELVV ) |
| 499 |
|
| 500 |
c Compute Richarson Number |
| 501 |
c ------------------------ |
| 502 |
if( DELVE2.ne.0.0 ) then |
| 503 |
DELZ = DZ(i,l) |
| 504 |
VSQUA = BV(i,l)*BV(i,l) |
| 505 |
RICHSN = DELZ*DELZ*VSQUA/DELVE2 |
| 506 |
else |
| 507 |
RICHSN = 99999.0 |
| 508 |
endif |
| 509 |
|
| 510 |
if( RICHSN.le.0.25 ) then |
| 511 |
TENSIO(i,l) = TENSIO(i,l-1) |
| 512 |
goto 1500 |
| 513 |
endif |
| 514 |
|
| 515 |
c Stress in the Base Layer changes if the local Froude number |
| 516 |
c exceeds the Critical Froude number |
| 517 |
c ---------------------------------- |
| 518 |
CRIFRO = 1.0 - 0.25/RICHSN |
| 519 |
CRIF2 = CRIFRO*CRIFRO |
| 520 |
if( l.eq.2 ) CRIF2 = MIN(0.7,CRIF2) |
| 521 |
|
| 522 |
if( FRO2.gt.CRIF2 ) then |
| 523 |
TENSIO(i,l) = CRIF2/FRO2*TENSIO(i,l-1) |
| 524 |
else |
| 525 |
TENSIO(i,l) = TENSIO(i,l-1) |
| 526 |
endif |
| 527 |
|
| 528 |
1500 CONTINUE |
| 529 |
XTENS(i,l) = TENSIO(i,l)*COS(ang(i)) |
| 530 |
YTENS(i,l) = TENSIO(i,l)*SIN(ang(i)) |
| 531 |
|
| 532 |
enddo |
| 533 |
enddo |
| 534 |
|
| 535 |
c****************************************************** |
| 536 |
c Compute Gravity Wave Stress from Base+1 to Top * |
| 537 |
c****************************************************** |
| 538 |
|
| 539 |
do i = 1,irun |
| 540 |
icrilv(i) = 0 |
| 541 |
enddo |
| 542 |
|
| 543 |
do i = 1,irun |
| 544 |
do l = nbase(i)+1,lm+1 |
| 545 |
|
| 546 |
TENSIO(i,l) = 0.0 |
| 547 |
|
| 548 |
c Check for Critical Level Absorption |
| 549 |
c ----------------------------------- |
| 550 |
if( icrilv(i).eq.1 ) goto 130 |
| 551 |
|
| 552 |
c Let Remaining Stress escape out the top edge of model |
| 553 |
c ----------------------------------------------------- |
| 554 |
if( l.eq.lm+1 ) then |
| 555 |
TENSIO(i,l) = TENSIO(i,l-1) |
| 556 |
goto 130 |
| 557 |
endif |
| 558 |
|
| 559 |
ROAVE = 0.5*(ro(i,l-1)+ro(i,l)) * 100.0 |
| 560 |
VAI1 = (T(i,lm+1-l)-T(i,lm+2-l))/DZ(i,l)+GOCP |
| 561 |
|
| 562 |
if( VAI1.lt.0.0 ) then |
| 563 |
icrilv(i) = 1 |
| 564 |
TENSIO(i,l) = 0.0 |
| 565 |
goto 130 |
| 566 |
endif |
| 567 |
|
| 568 |
VAI2 = 2.0*GRAV/(T(i,lm+1-l)+T(i,lm+2-l)) |
| 569 |
VSQUA = VAI1*VAI2 |
| 570 |
VAISD = SQRT(VSQUA) |
| 571 |
|
| 572 |
velco = 0.5*( (u(i,lm+1-l)*ubar(i) + v(i,lm+1-l)*vbar(i)) |
| 573 |
. + (u(i,lm+2-l)*ubar(i) + v(i,lm+2-l)*vbar(i)) ) |
| 574 |
. / speed(i) |
| 575 |
|
| 576 |
if( velco.lt.0.0 ) then |
| 577 |
icrilv(i) = 1 |
| 578 |
TENSIO(i,l) = 0.0 |
| 579 |
goto 130 |
| 580 |
endif |
| 581 |
|
| 582 |
c Froude number squared |
| 583 |
c --------------------- |
| 584 |
FRO2 = vaisd/(AKWNMB*ROAVE*VELCO*VELCO*VELCO)*TENSIO(i,l-1) |
| 585 |
DELUU = u(i,lm+1-l)-u(i,lm+2-l) |
| 586 |
DELVV = v(i,lm+1-l)-v(i,lm+2-l) |
| 587 |
DELVE2 = ( DELUU*DELUU + DELVV*DELVV ) |
| 588 |
|
| 589 |
c Compute Richarson Number |
| 590 |
c ------------------------ |
| 591 |
if( DELVE2.ne.0.0 ) then |
| 592 |
DELZ = DZ(i,l) |
| 593 |
RICHSN = DELZ*DELZ*VSQUA/DELVE2 |
| 594 |
else |
| 595 |
RICHSN = 99999.0 |
| 596 |
endif |
| 597 |
|
| 598 |
if( RICHSN.le.0.25 ) then |
| 599 |
TENSIO(i,l) = 0.0 |
| 600 |
icrilv(i) = 1 |
| 601 |
goto 130 |
| 602 |
endif |
| 603 |
|
| 604 |
c Stress in Layer changes if the local Froude number |
| 605 |
c exceeds the Critical Froude number |
| 606 |
c ---------------------------------- |
| 607 |
CRIFRO = 1.0 - 0.25/RICHSN |
| 608 |
CRIF2 = CRIFRO*CRIFRO |
| 609 |
|
| 610 |
if( FRO2.ge.CRIF2 ) then |
| 611 |
TENSIO(i,l) = CRIF2/FRO2*TENSIO(i,l-1) |
| 612 |
else |
| 613 |
TENSIO(i,l) = TENSIO(i,l-1) |
| 614 |
endif |
| 615 |
|
| 616 |
130 continue |
| 617 |
XTENS(i,l) = TENSIO(i,l)*COS(ang(i)) |
| 618 |
YTENS(i,l) = TENSIO(i,l)*SIN(ang(i)) |
| 619 |
enddo |
| 620 |
enddo |
| 621 |
|
| 622 |
C ****************************************************** |
| 623 |
C MOMENTUM CHANGE FOR FREE ATMOSPHERE * |
| 624 |
C ****************************************************** |
| 625 |
|
| 626 |
do i = 1,irun |
| 627 |
do l = nthin(i)+1,lm |
| 628 |
coef = -grav*ple(i,lm+1)/dpres(i,lm+1-l) |
| 629 |
dudt(i,lm+1-l) = coef*(XTENS(i,l+1)-XTENS(i,l)) |
| 630 |
dvdt(i,lm+1-l) = coef*(YTENS(i,l+1)-YTENS(i,l)) |
| 631 |
enddo |
| 632 |
enddo |
| 633 |
|
| 634 |
c Momentum change near the surface |
| 635 |
c -------------------------------- |
| 636 |
do i = 1,irun |
| 637 |
coef = grav*ple(i,lm+1)/(ple(i,lm+1-nthin(i))-ple(i,lm+1)) |
| 638 |
dudt(i,lm) = coef*(XTENS(i,nthin(i)+1)-XTENS(i,1)) |
| 639 |
dvdt(i,lm) = coef*(YTENS(i,nthin(i)+1)-YTENS(i,1)) |
| 640 |
enddo |
| 641 |
|
| 642 |
c If Lowest layer is very thin, it is strapped to next layer |
| 643 |
c ---------------------------------------------------------- |
| 644 |
do i = 1,irun |
| 645 |
if( nthin(i).gt.1 ) then |
| 646 |
do l = 2,nthin(i) |
| 647 |
dudt(i,lm+1-l) = dudt(i,lm) |
| 648 |
dvdt(i,lm+1-l) = dvdt(i,lm) |
| 649 |
enddo |
| 650 |
endif |
| 651 |
enddo |
| 652 |
|
| 653 |
c Convert Units to (m/sec**2) |
| 654 |
c --------------------------- |
| 655 |
do l = 1,lm |
| 656 |
do i = 1,irun |
| 657 |
dudt(i,l) = - dudt(i,l)/ps(i)*0.01 |
| 658 |
dvdt(i,l) = - dvdt(i,l)/ps(i)*0.01 |
| 659 |
enddo |
| 660 |
enddo |
| 661 |
|
| 662 |
return |
| 663 |
end |
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