1 |
C $Header$ |
C $Header$ |
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C $Name$ |
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4 |
#include "KPP_OPTIONS.h" |
#include "KPP_OPTIONS.h" |
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C-- o WSCALE - Compute turbulent velocity scales. |
C-- o WSCALE - Compute turbulent velocity scales. |
12 |
C-- o RI_IWMIX - Compute interior viscosity diffusivity coefficients. |
C-- o RI_IWMIX - Compute interior viscosity diffusivity coefficients. |
13 |
C-- o Z121 - Apply 121 vertical smoothing. |
C-- o Z121 - Apply 121 vertical smoothing. |
14 |
C-- o SMOOTH_HORIZ_RS - Apply horizontal smoothing to RS array. |
C-- o KPP_SMOOTH_HORIZ - Apply horizontal smoothing to KPP array. |
15 |
C-- o SMOOTH_HORIZ_RL - Apply horizontal smoothing to RL array. |
C-- o SMOOTH_HORIZ - Apply horizontal smoothing to global array. |
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C-- o BLMIX - Boundary layer mixing coefficients. |
C-- o BLMIX - Boundary layer mixing coefficients. |
17 |
C-- o ENHANCE - Enhance diffusivity at boundary layer interface. |
C-- o ENHANCE - Enhance diffusivity at boundary layer interface. |
18 |
C-- o STATEKPP - Compute buoyancy-related input arrays. |
C-- o STATEKPP - Compute buoyancy-related input arrays. |
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c************************************************************************* |
c*********************************************************************** |
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SUBROUTINE KPPMIX ( |
SUBROUTINE KPPMIX ( |
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I lri, kmtj, shsq, dvsq, ustar, bo, bosol |
I mytime, mythid |
24 |
I , dbloc, Ritop, coriol |
I , kmtj, shsq, dvsq, ustar |
25 |
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I , bo, bosol, dbloc, Ritop, coriol |
26 |
I , ikey |
I , ikey |
27 |
O , diffus |
O , diffus |
28 |
U , ghat |
U , ghat |
29 |
O , hbl ) |
O , hbl ) |
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31 |
c------------------------------------------------------------------------- |
c----------------------------------------------------------------------- |
32 |
c |
c |
33 |
c Main driver subroutine for kpp vertical mixing scheme and |
c Main driver subroutine for kpp vertical mixing scheme and |
34 |
c interface to greater ocean model |
c interface to greater ocean model |
52 |
#include "KPP_PARAMS.h" |
#include "KPP_PARAMS.h" |
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54 |
c input |
c input |
55 |
c lri - mixing process switches |
c myTime - current time in simulation |
56 |
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c myThid - thread number for this instance of the routine |
57 |
c kmtj (imt) - number of vertical layers on this row |
c kmtj (imt) - number of vertical layers on this row |
58 |
c shsq (imt,Nr) - (local velocity shear)^2 ((m/s)^2) |
c shsq (imt,Nr) - (local velocity shear)^2 ((m/s)^2) |
59 |
c dvsq (imt,Nr) - (velocity shear re sfc)^2 ((m/s)^2) |
c dvsq (imt,Nr) - (velocity shear re sfc)^2 ((m/s)^2) |
70 |
c e.g., hbl(sNx,sNy) -> hbl(imt), |
c e.g., hbl(sNx,sNy) -> hbl(imt), |
71 |
c where hbl(i,j) -> hbl((j-1)*sNx+i) |
c where hbl(i,j) -> hbl((j-1)*sNx+i) |
72 |
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73 |
logical lri |
_RL mytime |
74 |
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integer mythid |
75 |
integer kmtj (imt ) |
integer kmtj (imt ) |
76 |
_RS shsq (imt,Nr) |
_KPP_RL shsq (imt,Nr) |
77 |
_RS dvsq (imt,Nr) |
_KPP_RL dvsq (imt,Nr) |
78 |
_RS ustar (imt ) |
_KPP_RL ustar (imt ) |
79 |
_RS bo (imt ) |
_KPP_RL bo (imt ) |
80 |
_RS bosol (imt ) |
_KPP_RL bosol (imt ) |
81 |
_RS dbloc (imt,Nr) |
_KPP_RL dbloc (imt,Nr) |
82 |
_RS Ritop (imt,Nr) |
_KPP_RL Ritop (imt,Nr) |
83 |
_RS coriol (imt ) |
_KPP_RL coriol(imt ) |
84 |
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85 |
integer ikey |
integer ikey |
86 |
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91 |
c ghat (imt) - nonlocal transport coefficient (s/m^2) |
c ghat (imt) - nonlocal transport coefficient (s/m^2) |
92 |
c hbl (imt) - mixing layer depth (m) |
c hbl (imt) - mixing layer depth (m) |
93 |
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94 |
_RS diffus(imt,0:Nrp1,mdiff) |
_KPP_RL diffus(imt,0:Nrp1,mdiff) |
95 |
_RS ghat (imt,Nr) |
_KPP_RL ghat (imt,Nr) |
96 |
_RS hbl (imt) |
_KPP_RL hbl (imt) |
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98 |
#ifdef ALLOW_KPP |
#ifdef ALLOW_KPP |
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107 |
c sigma (imt ) - normalized depth (d / hbl) |
c sigma (imt ) - normalized depth (d / hbl) |
108 |
c Rib (imt,Nr ) - bulk Richardson number |
c Rib (imt,Nr ) - bulk Richardson number |
109 |
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110 |
integer kbl (imt ) |
integer kbl (imt ) |
111 |
_RS bfsfc (imt ) |
_KPP_RL bfsfc (imt ) |
112 |
_RS casea (imt ) |
_KPP_RL casea (imt ) |
113 |
_RS stable (imt ) |
_KPP_RL stable(imt ) |
114 |
_RS dkm1 (imt, mdiff) |
_KPP_RL dkm1 (imt, mdiff) |
115 |
_RS blmc (imt,Nr,mdiff) |
_KPP_RL blmc (imt,Nr,mdiff) |
116 |
_RS sigma (imt ) |
_KPP_RL sigma (imt ) |
117 |
_RS Rib (imt,Nr ) |
_KPP_RL Rib (imt,Nr ) |
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119 |
integer i, k, md |
integer i, k, md |
120 |
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125 |
c (ghat is temporary storage for horizontally smoothed dbloc) |
c (ghat is temporary storage for horizontally smoothed dbloc) |
126 |
c----------------------------------------------------------------------- |
c----------------------------------------------------------------------- |
127 |
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128 |
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CADJ STORE ghat = comlev1_kpp, key = ikey |
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130 |
call Ri_iwmix ( |
call Ri_iwmix ( |
131 |
I kmtj, shsq, dbloc, ghat |
I kmtj, shsq, dbloc, ghat |
132 |
I , ikey |
I , ikey |
152 |
c----------------------------------------------------------------------- |
c----------------------------------------------------------------------- |
153 |
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154 |
call bldepth ( |
call bldepth ( |
155 |
I kmtj |
I mytime, mythid |
156 |
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I , kmtj |
157 |
I , dvsq, dbloc, Ritop, ustar, bo, bosol, coriol |
I , dvsq, dbloc, Ritop, ustar, bo, bosol, coriol |
158 |
I , ikey |
I , ikey |
159 |
O , hbl, bfsfc, stable, casea, kbl, Rib, sigma |
O , hbl, bfsfc, stable, casea, kbl, Rib, sigma |
167 |
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168 |
call blmix ( |
call blmix ( |
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I ustar, bfsfc, hbl, stable, casea, diffus, kbl |
I ustar, bfsfc, hbl, stable, casea, diffus, kbl |
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O , dkm1, blmc, ghat, sigma |
O , dkm1, blmc, ghat, sigma, ikey |
171 |
& ) |
& ) |
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173 |
CADJ STORE dkm1,blmc,ghat = comlev1_kpp, key = ikey |
CADJ STORE dkm1,blmc,ghat = comlev1_kpp, key = ikey |
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c************************************************************************* |
c************************************************************************* |
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207 |
subroutine bldepth ( |
subroutine bldepth ( |
208 |
I kmtj |
I mytime, mythid |
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I , kmtj |
210 |
I , dvsq, dbloc, Ritop, ustar, bo, bosol, coriol |
I , dvsq, dbloc, Ritop, ustar, bo, bosol, coriol |
211 |
I , ikey |
I , ikey |
212 |
O , hbl, bfsfc, stable, casea, kbl, Rib, sigma |
O , hbl, bfsfc, stable, casea, kbl, Rib, sigma |
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244 |
c input |
c input |
245 |
c------ |
c------ |
246 |
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c myTime : current time in simulation |
247 |
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c myThid : thread number for this instance of the routine |
248 |
c kmtj : number of vertical layers |
c kmtj : number of vertical layers |
249 |
c dvsq : (velocity shear re sfc)^2 ((m/s)^2) |
c dvsq : (velocity shear re sfc)^2 ((m/s)^2) |
250 |
c dbloc : local delta buoyancy across interfaces (m/s^2) |
c dbloc : local delta buoyancy across interfaces (m/s^2) |
255 |
c bo : surface turbulent buoyancy forcing (m^2/s^3) |
c bo : surface turbulent buoyancy forcing (m^2/s^3) |
256 |
c bosol : radiative buoyancy forcing (m^2/s^3) |
c bosol : radiative buoyancy forcing (m^2/s^3) |
257 |
c coriol : Coriolis parameter (1/s) |
c coriol : Coriolis parameter (1/s) |
258 |
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_RL mytime |
259 |
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integer mythid |
260 |
integer kmtj(imt) |
integer kmtj(imt) |
261 |
_RS dvsq (imt,Nr) |
_KPP_RL dvsq (imt,Nr) |
262 |
_RS dbloc (imt,Nr) |
_KPP_RL dbloc (imt,Nr) |
263 |
_RS Ritop (imt,Nr) |
_KPP_RL Ritop (imt,Nr) |
264 |
_RS ustar (imt) |
_KPP_RL ustar (imt) |
265 |
_RS bo (imt) |
_KPP_RL bo (imt) |
266 |
_RS bosol (imt) |
_KPP_RL bosol (imt) |
267 |
_RS coriol (imt) |
_KPP_RL coriol(imt) |
268 |
integer ikey |
integer ikey |
269 |
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270 |
c output |
c output |
276 |
c kbl : -1 of first grid level below hbl |
c kbl : -1 of first grid level below hbl |
277 |
c Rib : Bulk Richardson number |
c Rib : Bulk Richardson number |
278 |
c sigma : normalized depth (d/hbl) |
c sigma : normalized depth (d/hbl) |
279 |
_RS hbl (imt) |
_KPP_RL hbl (imt) |
280 |
_RS bfsfc (imt) |
_KPP_RL bfsfc (imt) |
281 |
_RS stable (imt) |
_KPP_RL stable(imt) |
282 |
_RS casea (imt) |
_KPP_RL casea (imt) |
283 |
integer kbl (imt) |
integer kbl (imt) |
284 |
_RS Rib (imt,Nr) |
_KPP_RL Rib (imt,Nr) |
285 |
_RS sigma (imt) |
_KPP_RL sigma (imt) |
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287 |
#ifdef ALLOW_KPP |
#ifdef ALLOW_KPP |
288 |
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289 |
c local |
c local |
290 |
c------- |
c------- |
291 |
c wm, ws : turbulent velocity scales (m/s) |
c wm, ws : turbulent velocity scales (m/s) |
292 |
c zwork : depth work array |
_KPP_RL wm(imt), ws(imt) |
293 |
_RS wm(imt), ws(imt) |
_RL worka(imt) |
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_RS zwork(imt) |
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294 |
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295 |
_RS bvsq, vtsq, hekman, hmonob, hlimit |
_KPP_RL bvsq, vtsq, hekman, hmonob, hlimit, tempVar1, tempVar2 |
296 |
integer i, kl |
integer i, kl |
297 |
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298 |
_RS p5 , eins , m1 |
_KPP_RL p5 , eins |
299 |
parameter (p5=0.5, eins=1.0, m1=-1.0 ) |
parameter ( p5=0.5, eins=1.0 ) |
300 |
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_RL minusone |
301 |
crg intermediate result in RL to avoid overflow in adjoint |
parameter ( minusone=-1.0 ) |
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_RL dpshear2 |
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#ifdef KPP_TEST_DENOM |
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_RL dhelp |
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#endif |
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302 |
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303 |
c find bulk Richardson number at every grid level until > Ricr |
c find bulk Richardson number at every grid level until > Ricr |
304 |
c |
c |
322 |
c compute bfsfc = sw fraction at hbf * zgrid |
c compute bfsfc = sw fraction at hbf * zgrid |
323 |
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324 |
do i = 1, imt |
do i = 1, imt |
325 |
zwork(i) = zgrid(kl) |
worka(i) = zgrid(kl) |
326 |
end do |
end do |
327 |
call SWFRAC( |
call SWFRAC( |
328 |
I imt, hbf, zwork, |
I imt, hbf, |
329 |
O bfsfc) |
I mytime, mythid, |
330 |
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U worka ) |
331 |
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332 |
do i = 1, imt |
do i = 1, imt |
333 |
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337 |
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338 |
c compute bfsfc= Bo + radiative contribution down to hbf * hbl |
c compute bfsfc= Bo + radiative contribution down to hbf * hbl |
339 |
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340 |
bfsfc(i) = bo(i) + bosol(i)*(1. - bfsfc(i)) |
bfsfc(i) = bo(i) + bosol(i)*(1. - worka(i)) |
341 |
stable(i) = p5 + sign(p5,bfsfc(i)) |
stable(i) = p5 + sign(p5,bfsfc(i)) |
342 |
sigma(i) = stable(i) + (1. - stable(i)) * epsilon |
sigma(i) = stable(i) + (1. - stable(i)) * epsilon |
343 |
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378 |
c rg: assignment to double precision variable to avoid overflow |
c rg: assignment to double precision variable to avoid overflow |
379 |
c ph: test for zero nominator |
c ph: test for zero nominator |
380 |
c |
c |
381 |
#ifdef KPP_TEST_DENOM |
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382 |
ctl replace |
tempVar1 = dvsq(i,kl) + vtsq |
383 |
dpshear2 = dvsq(i,kl) + vtsq |
tempVar2 = max(tempVar1, phepsi) |
384 |
dpshear2 = max(dpshear2, phepsi) |
Rib(i,kl) = Ritop(i,kl) / tempVar2 |
385 |
Rib(i,kl) = Ritop(i,kl) / dpshear2 |
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ctl end-replace |
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#else |
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dpshear2 = dvsq(i,kl) + vtsq + epsln |
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Rib(i,kl) = Ritop(i,kl) / dpshear2 |
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#endif |
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386 |
end do |
end do |
387 |
end do |
end do |
388 |
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397 |
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398 |
do i = 1, imt |
do i = 1, imt |
399 |
kl = kbl(i) |
kl = kbl(i) |
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400 |
c linearly interpolate to find hbl where Rib = Ricr |
c linearly interpolate to find hbl where Rib = Ricr |
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401 |
if (kl.gt.1 .and. kl.lt.kmtj(i)) then |
if (kl.gt.1 .and. kl.lt.kmtj(i)) then |
402 |
#ifdef KPP_TEST_DENOM |
tempVar1 = (Rib(i,kl)-Rib(i,kl-1)) |
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dhelp = (Rib(i,kl)-Rib(i,kl-1)) |
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hbl(i) = -zgrid(kl-1) + (zgrid(kl-1)-zgrid(kl)) * |
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1 (Ricr - Rib(i,kl-1)) / dhelp |
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#else |
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403 |
hbl(i) = -zgrid(kl-1) + (zgrid(kl-1)-zgrid(kl)) * |
hbl(i) = -zgrid(kl-1) + (zgrid(kl-1)-zgrid(kl)) * |
404 |
1 (Ricr - Rib(i,kl-1)) / (Rib(i,kl)-Rib(i,kl-1)) |
1 (Ricr - Rib(i,kl-1)) / tempVar1 |
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#endif |
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405 |
endif |
endif |
406 |
end do |
end do |
407 |
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412 |
c find stability and buoyancy forcing for boundary layer |
c find stability and buoyancy forcing for boundary layer |
413 |
c----------------------------------------------------------------------- |
c----------------------------------------------------------------------- |
414 |
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415 |
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do i = 1, imt |
416 |
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worka(i) = hbl(i) |
417 |
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end do |
418 |
call SWFRAC( |
call SWFRAC( |
419 |
I imt, m1, hbl, |
I imt, minusone, |
420 |
O bfsfc) |
I mytime, mythid, |
421 |
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U worka ) |
422 |
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423 |
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do i = 1, imt |
424 |
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bfsfc(i) = bo(i) + bosol(i) * (1. - worka(i)) |
425 |
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end do |
426 |
CADJ store bfsfc = comlev1_kpp |
CADJ store bfsfc = comlev1_kpp |
427 |
CADJ & , key = ikey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
CADJ & , key = ikey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
428 |
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429 |
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c-- ensure bfsfc is never 0 |
430 |
do i = 1, imt |
do i = 1, imt |
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bfsfc(i) = bo(i) + bosol(i) * (1. - bfsfc(i)) |
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431 |
stable(i) = p5 + sign( p5, bfsfc(i) ) |
stable(i) = p5 + sign( p5, bfsfc(i) ) |
432 |
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bfsfc(i) = sign(eins,bfsfc(i))*max(phepsi,abs(bfsfc(i))) |
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#ifdef KPP_TEST_DENOM |
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ctl add |
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bfsfc(i) = sign(eins,bfsfc(i))*max(phepsi,abs(bfsfc(i))) |
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ctl end-add |
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#else |
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c-- ensures bfsfc is never 0 |
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bfsfc(i) = bfsfc(i) + stable(i) * epsln |
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#endif |
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433 |
end do |
end do |
434 |
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435 |
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CADJ store bfsfc = comlev1_kpp |
436 |
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CADJ & , key = ikey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
437 |
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438 |
c----------------------------------------------------------------------- |
c----------------------------------------------------------------------- |
439 |
c check hbl limits for hekman or hmonob |
c check hbl limits for hekman or hmonob |
440 |
c ph: test for zero nominator |
c ph: test for zero nominator |
442 |
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443 |
do i = 1, imt |
do i = 1, imt |
444 |
if (bfsfc(i) .gt. 0.0) then |
if (bfsfc(i) .gt. 0.0) then |
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#ifdef KPP_TEST_DENOM |
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ctl replace |
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445 |
hekman = cekman * ustar(i) / max(abs(Coriol(i)),phepsi) |
hekman = cekman * ustar(i) / max(abs(Coriol(i)),phepsi) |
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ctl end-replace |
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#else |
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hekman = cekman * ustar(i) / (abs(coriol(i))+epsln) |
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#endif |
|
446 |
hmonob = cmonob * ustar(i)*ustar(i)*ustar(i) |
hmonob = cmonob * ustar(i)*ustar(i)*ustar(i) |
447 |
& / vonk / bfsfc(i) |
& / vonk / bfsfc(i) |
448 |
hlimit = stable(i) * min(hekman,hmonob) |
hlimit = stable(i) * min(hekman,hmonob) |
449 |
& + (stable(i)-1.) * zgrid(Nr) |
& + (stable(i)-1.) * zgrid(Nr) |
450 |
hbl(i) = min(hbl(i),hlimit) |
hbl(i) = min(hbl(i),hlimit) |
451 |
hbl(i) = max(hbl(i),minKPPhbl) |
end if |
452 |
endif |
end do |
453 |
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CADJ store hbl = comlev1_kpp |
454 |
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CADJ & , key = ikey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
455 |
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456 |
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do i = 1, imt |
457 |
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hbl(i) = max(hbl(i),minKPPhbl) |
458 |
kbl(i) = kmtj(i) |
kbl(i) = kmtj(i) |
459 |
end do |
end do |
460 |
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477 |
c find stability and buoyancy forcing for final hbl values |
c find stability and buoyancy forcing for final hbl values |
478 |
c----------------------------------------------------------------------- |
c----------------------------------------------------------------------- |
479 |
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480 |
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do i = 1, imt |
481 |
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worka(i) = hbl(i) |
482 |
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end do |
483 |
call SWFRAC( |
call SWFRAC( |
484 |
I imt, m1, hbl, |
I imt, minusone, |
485 |
O bfsfc) |
I mytime, mythid, |
486 |
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U worka ) |
487 |
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488 |
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do i = 1, imt |
489 |
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bfsfc(i) = bo(i) + bosol(i) * (1. - worka(i)) |
490 |
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end do |
491 |
CADJ store bfsfc = comlev1_kpp |
CADJ store bfsfc = comlev1_kpp |
492 |
CADJ & , key = ikey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
CADJ & , key = ikey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
493 |
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494 |
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c-- ensures bfsfc is never 0 |
495 |
do i = 1, imt |
do i = 1, imt |
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bfsfc(i) = bo(i) + bosol(i) * (1. - bfsfc(i)) |
|
496 |
stable(i) = p5 + sign( p5, bfsfc(i) ) |
stable(i) = p5 + sign( p5, bfsfc(i) ) |
497 |
#ifdef KPP_TEST_DENOM |
bfsfc(i) = sign(eins,bfsfc(i))*max(phepsi,abs(bfsfc(i))) |
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ctl add |
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bfsfc(i) = sign(eins,bfsfc(i))*max(phepsi,abs(bfsfc(i))) |
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ctl end-add |
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#else |
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c-- ensures bfsfc is never 0 |
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bfsfc(i) = bfsfc(i) + stable(i) * epsln |
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#endif |
|
498 |
end do |
end do |
499 |
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500 |
c----------------------------------------------------------------------- |
c----------------------------------------------------------------------- |
536 |
c hbl : boundary layer depth (m) |
c hbl : boundary layer depth (m) |
537 |
c ustar : surface friction velocity (m/s) |
c ustar : surface friction velocity (m/s) |
538 |
c bfsfc : total surface buoyancy flux (m^2/s^3) |
c bfsfc : total surface buoyancy flux (m^2/s^3) |
539 |
_RS sigma(imt) |
_KPP_RL sigma(imt) |
540 |
_RS hbl (imt) |
_KPP_RL hbl (imt) |
541 |
_RS ustar(imt) |
_KPP_RL ustar(imt) |
542 |
_RS bfsfc(imt) |
_KPP_RL bfsfc(imt) |
543 |
|
|
544 |
c output |
c output |
545 |
c-------- |
c-------- |
546 |
c wm, ws : turbulent velocity scales at sigma |
c wm, ws : turbulent velocity scales at sigma |
547 |
_RS wm(imt), ws(imt) |
_KPP_RL wm(imt), ws(imt) |
548 |
|
|
549 |
#ifdef ALLOW_KPP |
#ifdef ALLOW_KPP |
550 |
|
|
551 |
c local |
c local |
552 |
c------ |
c------ |
553 |
c zehat : = zeta * ustar**3 |
c zehat : = zeta * ustar**3 |
554 |
_RS zehat |
_KPP_RL zehat |
555 |
|
|
556 |
integer iz, izp1, ju, i, jup1 |
integer iz, izp1, ju, i, jup1 |
557 |
_RS udiff, zdiff, zfrac, ufrac, fzfrac, wam, wbm, was, wbs, u3 |
_KPP_RL udiff, zdiff, zfrac, ufrac, fzfrac, wam |
558 |
_RL dum |
_KPP_RL wbm, was, wbs, u3, tempVar |
559 |
|
|
560 |
c----------------------------------------------------------------------- |
c----------------------------------------------------------------------- |
561 |
c use lookup table for zehat < zmax only; otherwise use |
c use lookup table for zehat < zmax only; otherwise use |
572 |
iz = min( iz, nni ) |
iz = min( iz, nni ) |
573 |
iz = max( iz, 0 ) |
iz = max( iz, 0 ) |
574 |
izp1 = iz + 1 |
izp1 = iz + 1 |
575 |
|
|
576 |
udiff = ustar(i) - umin |
udiff = ustar(i) - umin |
577 |
ju = int( udiff / deltau ) |
ju = int( udiff / deltau ) |
578 |
ju = min( ju, nnj ) |
ju = min( ju, nnj ) |
579 |
ju = max( ju, 0 ) |
ju = max( ju, 0 ) |
580 |
jup1 = ju + 1 |
jup1 = ju + 1 |
581 |
|
|
582 |
zfrac = zdiff / deltaz - float(iz) |
zfrac = zdiff / deltaz - float(iz) |
583 |
ufrac = udiff / deltau - float(ju) |
ufrac = udiff / deltau - float(ju) |
584 |
|
|
585 |
fzfrac= 1. - zfrac |
fzfrac= 1. - zfrac |
586 |
wam = fzfrac * wmt(iz,jup1) + zfrac * wmt(izp1,jup1) |
wam = fzfrac * wmt(iz,jup1) + zfrac * wmt(izp1,jup1) |
587 |
wbm = fzfrac * wmt(iz,ju ) + zfrac * wmt(izp1,ju ) |
wbm = fzfrac * wmt(iz,ju ) + zfrac * wmt(izp1,ju ) |
588 |
wm(i) = (1.-ufrac) * wbm + ufrac * wam |
wm(i) = (1.-ufrac) * wbm + ufrac * wam |
589 |
|
|
590 |
was = fzfrac * wst(iz,jup1) + zfrac * wst(izp1,jup1) |
was = fzfrac * wst(iz,jup1) + zfrac * wst(izp1,jup1) |
591 |
wbs = fzfrac * wst(iz,ju ) + zfrac * wst(izp1,ju ) |
wbs = fzfrac * wst(iz,ju ) + zfrac * wst(izp1,ju ) |
592 |
ws(i) = (1.-ufrac) * wbs + ufrac * was |
ws(i) = (1.-ufrac) * wbs + ufrac * was |
593 |
|
|
594 |
else |
else |
595 |
|
|
596 |
u3 = ustar(i) * ustar(i) * ustar(i) |
u3 = ustar(i) * ustar(i) * ustar(i) |
597 |
dum = u3 + conc1 * zehat |
tempVar = u3 + conc1 * zehat |
598 |
wm(i) = vonk * ustar(i) * u3 / dum |
wm(i) = vonk * ustar(i) * u3 / tempVar |
599 |
ws(i) = wm(i) |
ws(i) = wm(i) |
600 |
|
|
601 |
endif |
endif |
602 |
|
|
603 |
end do |
end do |
632 |
c dbloc (imt,Nr) local delta buoyancy (m/s^2) |
c dbloc (imt,Nr) local delta buoyancy (m/s^2) |
633 |
c dblocSm(imt,Nr) horizontally smoothed dbloc (m/s^2) |
c dblocSm(imt,Nr) horizontally smoothed dbloc (m/s^2) |
634 |
integer kmtj (imt) |
integer kmtj (imt) |
635 |
_RS shsq (imt,Nr) |
_KPP_RL shsq (imt,Nr) |
636 |
_RS dbloc (imt,Nr) |
_KPP_RL dbloc (imt,Nr) |
637 |
_RS dblocSm(imt,Nr) |
_KPP_RL dblocSm(imt,Nr) |
638 |
integer ikey |
integer ikey |
639 |
|
|
640 |
c output |
c output |
641 |
c diffus(imt,0:Nrp1,1) vertical viscosivity coefficient (m^2/s) |
c diffus(imt,0:Nrp1,1) vertical viscosivity coefficient (m^2/s) |
642 |
c diffus(imt,0:Nrp1,2) vertical scalar diffusivity (m^2/s) |
c diffus(imt,0:Nrp1,2) vertical scalar diffusivity (m^2/s) |
643 |
c diffus(imt,0:Nrp1,3) vertical temperature diffusivity (m^2/s) |
c diffus(imt,0:Nrp1,3) vertical temperature diffusivity (m^2/s) |
644 |
_RS diffus(imt,0:Nrp1,3) |
_KPP_RL diffus(imt,0:Nrp1,3) |
645 |
|
|
646 |
#ifdef ALLOW_KPP |
#ifdef ALLOW_KPP |
647 |
|
|
648 |
c local variables |
c local variables |
649 |
c Rig local Richardson number |
c Rig local Richardson number |
650 |
c fRi, fcon function of Rig |
c fRi, fcon function of Rig |
651 |
_RS Rig |
_KPP_RL Rig |
652 |
_RS fRi, fcon |
_KPP_RL fRi, fcon |
653 |
_RS ratio |
_KPP_RL ratio |
654 |
integer i, ki, mr |
integer i, ki, mr |
655 |
_RS c1, c0 |
_KPP_RL c1, c0 |
656 |
|
|
657 |
|
#ifdef ALLOW_KPP_VERTICALLY_SMOOTH |
658 |
|
CADJ INIT kpp_ri_tape_mr = common, 1 |
659 |
|
#endif |
660 |
|
|
661 |
c constants |
c constants |
662 |
c1 = 1.0 |
c1 = 1.0 |
667 |
c use diffus(*,*,1) as temporary storage of Ri to be smoothed |
c use diffus(*,*,1) as temporary storage of Ri to be smoothed |
668 |
c use diffus(*,*,2) as temporary storage for Brunt-Vaisala squared |
c use diffus(*,*,2) as temporary storage for Brunt-Vaisala squared |
669 |
c set values at bottom and below to nearest value above bottom |
c set values at bottom and below to nearest value above bottom |
670 |
|
#ifdef ALLOW_AUTODIFF_TAMC |
671 |
|
C break data flow dependence on diffus |
672 |
|
diffus(1,1,1) = 0.0 |
673 |
|
#endif |
674 |
|
|
675 |
do ki = 1, Nr |
do ki = 1, Nr |
676 |
do i = 1, imt |
do i = 1, imt |
677 |
if (kmtj(i) .EQ. 0 ) then |
if (kmtj(i) .LE. 1 ) then |
678 |
diffus(i,ki,1) = 0. |
diffus(i,ki,1) = 0. |
679 |
diffus(i,ki,2) = 0. |
diffus(i,ki,2) = 0. |
680 |
elseif (ki .GE. kmtj(i)) then |
elseif (ki .GE. kmtj(i)) then |
682 |
diffus(i,ki,2) = diffus(i,ki-1,2) |
diffus(i,ki,2) = diffus(i,ki-1,2) |
683 |
else |
else |
684 |
diffus(i,ki,1) = dblocSm(i,ki) * (zgrid(ki)-zgrid(ki+1)) |
diffus(i,ki,1) = dblocSm(i,ki) * (zgrid(ki)-zgrid(ki+1)) |
|
#ifdef KPP_TEST_DENOM |
|
685 |
& / max( Shsq(i,ki), phepsi ) |
& / max( Shsq(i,ki), phepsi ) |
|
#else |
|
|
& / ( shsq(i,ki) + epsln ) |
|
|
#endif |
|
686 |
diffus(i,ki,2) = dbloc(i,ki) / (zgrid(ki)-zgrid(ki+1)) |
diffus(i,ki,2) = dbloc(i,ki) / (zgrid(ki)-zgrid(ki+1)) |
687 |
endif |
endif |
688 |
end do |
end do |
690 |
|
|
691 |
c----------------------------------------------------------------------- |
c----------------------------------------------------------------------- |
692 |
c vertically smooth Ri |
c vertically smooth Ri |
693 |
|
#ifdef ALLOW_KPP_VERTICALLY_SMOOTH |
694 |
do mr = 1, num_v_smooth_Ri |
do mr = 1, num_v_smooth_Ri |
695 |
|
|
696 |
CADJ store diffus(:,:,1) = comlev1_kpp_sm |
CADJ store diffus(:,:,1) = kpp_ri_tape_mr |
697 |
CADJ & , key = ikey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy),Nr+2 /) |
CADJ & , key=mr, shape=(/ (sNx+2*OLx)*(sNy+2*OLy),Nr+2 /) |
698 |
|
|
699 |
call z121 ( |
call z121 ( |
700 |
U diffus(1,0,1)) |
U diffus(1,0,1)) |
701 |
end do |
end do |
702 |
|
#endif |
|
CADJ store diffus = comlev1_kpp |
|
|
CADJ & , key = ikey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy),Nr+2,3 /) |
|
703 |
|
|
704 |
c----------------------------------------------------------------------- |
c----------------------------------------------------------------------- |
705 |
c after smoothing loop |
c after smoothing loop |
767 |
c input/output |
c input/output |
768 |
c------------- |
c------------- |
769 |
c v : 2-D array to be smoothed in Nrp1 direction |
c v : 2-D array to be smoothed in Nrp1 direction |
770 |
_RS v(imt,0:Nrp1) |
_KPP_RL v(imt,0:Nrp1) |
771 |
|
|
772 |
#ifdef ALLOW_KPP |
#ifdef ALLOW_KPP |
773 |
|
|
774 |
c local |
c local |
775 |
_RS zwork, zflag |
_KPP_RL zwork, zflag |
776 |
_RS KRi_range(1:Nrp1) |
_KPP_RL KRi_range(1:Nrp1) |
777 |
integer i, k, km1, kp1 |
integer i, k, km1, kp1 |
778 |
|
|
779 |
_RS p0 , p25 , p5 , p2 |
_KPP_RL p0 , p25 , p5 , p2 |
780 |
parameter ( p0 = 0.0, p25 = 0.25, p5 = 0.5, p2 = 2.0 ) |
parameter ( p0 = 0.0, p25 = 0.25, p5 = 0.5, p2 = 2.0 ) |
781 |
|
|
782 |
KRi_range(Nrp1) = p0 |
KRi_range(Nrp1) = p0 |
787 |
|
|
788 |
C-- HPF directive to help TAMC |
C-- HPF directive to help TAMC |
789 |
CHPF$ INDEPENDENT |
CHPF$ INDEPENDENT |
790 |
|
CADJ INIT z121tape = common, Nr |
791 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
#endif /* ALLOW_AUTODIFF_TAMC */ |
792 |
|
|
793 |
do i = 1, imt |
do i = 1, imt |
794 |
|
|
795 |
|
k = 1 |
796 |
|
CADJ STORE v(i,k) = z121tape |
797 |
v(i,Nrp1) = v(i,Nr) |
v(i,Nrp1) = v(i,Nr) |
798 |
|
|
799 |
do k = 1, Nr |
do k = 1, Nr |
808 |
zflag = p2 + KRi_range(1) * KRi_range(2) |
zflag = p2 + KRi_range(1) * KRi_range(2) |
809 |
v(i,1) = v(i,1) / zflag |
v(i,1) = v(i,1) / zflag |
810 |
|
|
|
CADJ INIT z121tape = common, Nr |
|
811 |
do k = 2, Nr |
do k = 2, Nr |
812 |
CADJ STORE v(i,k), zwork = z121tape |
CADJ STORE v(i,k), zwork = z121tape |
813 |
km1 = k - 1 |
km1 = k - 1 |
830 |
|
|
831 |
c************************************************************************* |
c************************************************************************* |
832 |
|
|
833 |
subroutine smooth_horiz_rs ( |
subroutine kpp_smooth_horiz ( |
834 |
I k, bi, bj, |
I k, bi, bj, |
835 |
I fld_in, |
U fld ) |
|
O fld_out ) |
|
836 |
|
|
837 |
c Apply horizontal smoothing to RS 2-D array |
c Apply horizontal smoothing to KPP array |
838 |
|
|
839 |
IMPLICIT NONE |
IMPLICIT NONE |
840 |
#include "SIZE.h" |
#include "SIZE.h" |
841 |
#include "KPP_PARAMS.h" |
#include "KPP_PARAMS.h" |
842 |
|
|
843 |
c input |
c input |
844 |
c k, bi, bj : array indices |
c bi, bj : array indices |
845 |
c fld_in : 2-D array to be smoothed |
c k : vertical index used for masking |
846 |
integer k, bi, bj |
integer k, bi, bj |
|
_RS fld_in(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
847 |
|
|
848 |
c output |
c input/output |
849 |
c fld_out : smoothed 2-D array |
c fld : 2-D array to be smoothed |
850 |
_RS fld_out(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_KPP_RL fld( ibot:itop, jbot:jtop ) |
851 |
|
|
852 |
#ifdef ALLOW_KPP |
#ifdef ALLOW_KPP |
853 |
|
|
854 |
c local |
c local |
855 |
integer i, j, im1, ip1, jm1, jp1 |
integer i, j, im1, ip1, jm1, jp1 |
856 |
_RS tempVar |
_KPP_RL tempVar |
857 |
_RS fld_tmp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_KPP_RL fld_tmp( ibot:itop, jbot:jtop ) |
|
|
|
|
integer imin , imax |
|
|
parameter( imin=1-OLx+1, imax=sNx+OLx-1 ) |
|
858 |
|
|
859 |
integer jmin , jmax |
integer imin , imax , jmin , jmax |
860 |
parameter( jmin=1-OLy+1, jmax=sNy+OLy-1 ) |
parameter( imin=ibot+1, imax=itop-1, jmin=jbot+1, jmax=jtop-1 ) |
861 |
|
|
862 |
_RS p0 , p5 , p25 , p125 , p0625 |
_KPP_RL p0 , p5 , p25 , p125 , p0625 |
863 |
parameter( p0=0.0, p5=0.5, p25=0.25, p125=0.125, p0625=0.0625 ) |
parameter( p0=0.0, p5=0.5, p25=0.25, p125=0.125, p0625=0.0625 ) |
864 |
|
|
865 |
DO j = jmin, jmax |
DO j = jmin, jmax |
880 |
& pMask(ip1,jp1,k,bi,bj) ) |
& pMask(ip1,jp1,k,bi,bj) ) |
881 |
IF ( tempVar .GE. p25 ) THEN |
IF ( tempVar .GE. p25 ) THEN |
882 |
fld_tmp(i,j) = ( |
fld_tmp(i,j) = ( |
883 |
& p25 * fld_in(i ,j )*pMask(i ,j ,k,bi,bj) + |
& p25 * fld(i ,j )*pMask(i ,j ,k,bi,bj) + |
884 |
& p125 *(fld_in(im1,j )*pMask(im1,j ,k,bi,bj) + |
& p125 *(fld(im1,j )*pMask(im1,j ,k,bi,bj) + |
885 |
& fld_in(ip1,j )*pMask(ip1,j ,k,bi,bj) + |
& fld(ip1,j )*pMask(ip1,j ,k,bi,bj) + |
886 |
& fld_in(i ,jm1)*pMask(i ,jm1,k,bi,bj) + |
& fld(i ,jm1)*pMask(i ,jm1,k,bi,bj) + |
887 |
& fld_in(i ,jp1)*pMask(i ,jp1,k,bi,bj))+ |
& fld(i ,jp1)*pMask(i ,jp1,k,bi,bj))+ |
888 |
& p0625*(fld_in(im1,jm1)*pMask(im1,jm1,k,bi,bj) + |
& p0625*(fld(im1,jm1)*pMask(im1,jm1,k,bi,bj) + |
889 |
& fld_in(im1,jp1)*pMask(im1,jp1,k,bi,bj) + |
& fld(im1,jp1)*pMask(im1,jp1,k,bi,bj) + |
890 |
& fld_in(ip1,jm1)*pMask(ip1,jm1,k,bi,bj) + |
& fld(ip1,jm1)*pMask(ip1,jm1,k,bi,bj) + |
891 |
& fld_in(ip1,jp1)*pMask(ip1,jp1,k,bi,bj))) |
& fld(ip1,jp1)*pMask(ip1,jp1,k,bi,bj))) |
892 |
& / tempVar |
& / tempVar |
893 |
ELSE |
ELSE |
894 |
fld_tmp(i,j) = fld_in(i,j) |
fld_tmp(i,j) = fld(i,j) |
895 |
ENDIF |
ENDIF |
896 |
ENDDO |
ENDDO |
897 |
ENDDO |
ENDDO |
899 |
c transfer smoothed field to output array |
c transfer smoothed field to output array |
900 |
DO j = jmin, jmax |
DO j = jmin, jmax |
901 |
DO i = imin, imax |
DO i = imin, imax |
902 |
fld_out(i,j) = fld_tmp(i,j) |
fld(i,j) = fld_tmp(i,j) |
903 |
ENDDO |
ENDDO |
904 |
ENDDO |
ENDDO |
905 |
|
|
|
c set output array edges to input field values |
|
|
DO j = jmin, jmax |
|
|
DO i = 1-OLx, imin-1 |
|
|
fld_out(i,j) = fld_in(i,j) |
|
|
END DO |
|
|
DO i = imax+1, sNx+OLx |
|
|
fld_out(i,j) = fld_in(i,j) |
|
|
END DO |
|
|
END DO |
|
|
DO i = 1-OLx, sNx+OLx |
|
|
DO j = 1-OLy, jmin-1 |
|
|
fld_out(i,j) = fld_in(i,j) |
|
|
END DO |
|
|
DO j = jmax+1, sNy+OLy |
|
|
fld_out(i,j) = fld_in(i,j) |
|
|
END DO |
|
|
END DO |
|
|
|
|
906 |
#endif /* ALLOW_KPP */ |
#endif /* ALLOW_KPP */ |
907 |
|
|
908 |
return |
return |
910 |
|
|
911 |
c************************************************************************* |
c************************************************************************* |
912 |
|
|
913 |
subroutine smooth_horiz_rl ( |
subroutine smooth_horiz ( |
914 |
I k, bi, bj, |
I k, bi, bj, |
915 |
I fld_in, |
U fld ) |
|
O fld_out ) |
|
916 |
|
|
917 |
c Apply horizontal smoothing to RL 2-D array |
c Apply horizontal smoothing to global _RL 2-D array |
918 |
|
|
919 |
IMPLICIT NONE |
IMPLICIT NONE |
920 |
#include "SIZE.h" |
#include "SIZE.h" |
921 |
#include "KPP_PARAMS.h" |
#include "KPP_PARAMS.h" |
922 |
|
|
923 |
c input |
c input |
924 |
c k, bi, bj : array indices |
c bi, bj : array indices |
925 |
c fld_in : 2-D array to be smoothed |
c k : vertical index used for masking |
926 |
integer k, bi, bj |
integer k, bi, bj |
|
_RL fld_in(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
927 |
|
|
928 |
c output |
c input/output |
929 |
c fld_out : smoothed 2-D array |
c fld : 2-D array to be smoothed |
930 |
_RL fld_out(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL fld( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
931 |
|
|
932 |
#ifdef ALLOW_KPP |
#ifdef ALLOW_KPP |
933 |
|
|
934 |
c local |
c local |
935 |
integer i, j, im1, ip1, jm1, jp1 |
integer i, j, im1, ip1, jm1, jp1 |
936 |
_RL tempVar |
_RL tempVar |
937 |
_RL fld_tmp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL fld_tmp( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
938 |
|
|
939 |
integer imin , imax |
integer imin , imax , jmin , jmax |
940 |
parameter( imin=1-OLx+1, imax=sNx+OLx-1 ) |
parameter(imin=2-OLx, imax=sNx+OLx-1, jmin=2-OLy, jmax=sNy+OLy-1) |
941 |
|
|
942 |
integer jmin , jmax |
_RL p0 , p5 , p25 , p125 , p0625 |
|
parameter( jmin=1-OLy+1, jmax=sNy+OLy-1 ) |
|
|
|
|
|
_RS p0 , p5 , p25 , p125 , p0625 |
|
943 |
parameter( p0=0.0, p5=0.5, p25=0.25, p125=0.125, p0625=0.0625 ) |
parameter( p0=0.0, p5=0.5, p25=0.25, p125=0.125, p0625=0.0625 ) |
944 |
|
|
945 |
DO j = jmin, jmax |
DO j = jmin, jmax |
960 |
& pMask(ip1,jp1,k,bi,bj) ) |
& pMask(ip1,jp1,k,bi,bj) ) |
961 |
IF ( tempVar .GE. p25 ) THEN |
IF ( tempVar .GE. p25 ) THEN |
962 |
fld_tmp(i,j) = ( |
fld_tmp(i,j) = ( |
963 |
& p25 * fld_in(i ,j )*pMask(i ,j ,k,bi,bj) + |
& p25 * fld(i ,j )*pMask(i ,j ,k,bi,bj) + |
964 |
& p125 *(fld_in(im1,j )*pMask(im1,j ,k,bi,bj) + |
& p125 *(fld(im1,j )*pMask(im1,j ,k,bi,bj) + |
965 |
& fld_in(ip1,j )*pMask(ip1,j ,k,bi,bj) + |
& fld(ip1,j )*pMask(ip1,j ,k,bi,bj) + |
966 |
& fld_in(i ,jm1)*pMask(i ,jm1,k,bi,bj) + |
& fld(i ,jm1)*pMask(i ,jm1,k,bi,bj) + |
967 |
& fld_in(i ,jp1)*pMask(i ,jp1,k,bi,bj))+ |
& fld(i ,jp1)*pMask(i ,jp1,k,bi,bj))+ |
968 |
& p0625*(fld_in(im1,jm1)*pMask(im1,jm1,k,bi,bj) + |
& p0625*(fld(im1,jm1)*pMask(im1,jm1,k,bi,bj) + |
969 |
& fld_in(im1,jp1)*pMask(im1,jp1,k,bi,bj) + |
& fld(im1,jp1)*pMask(im1,jp1,k,bi,bj) + |
970 |
& fld_in(ip1,jm1)*pMask(ip1,jm1,k,bi,bj) + |
& fld(ip1,jm1)*pMask(ip1,jm1,k,bi,bj) + |
971 |
& fld_in(ip1,jp1)*pMask(ip1,jp1,k,bi,bj))) |
& fld(ip1,jp1)*pMask(ip1,jp1,k,bi,bj))) |
972 |
& / tempVar |
& / tempVar |
973 |
ELSE |
ELSE |
974 |
fld_tmp(i,j) = fld_in(i,j) |
fld_tmp(i,j) = fld(i,j) |
975 |
ENDIF |
ENDIF |
976 |
ENDDO |
ENDDO |
977 |
ENDDO |
ENDDO |
979 |
c transfer smoothed field to output array |
c transfer smoothed field to output array |
980 |
DO j = jmin, jmax |
DO j = jmin, jmax |
981 |
DO i = imin, imax |
DO i = imin, imax |
982 |
fld_out(i,j) = fld_tmp(i,j) |
fld(i,j) = fld_tmp(i,j) |
983 |
ENDDO |
ENDDO |
984 |
ENDDO |
ENDDO |
985 |
|
|
|
c set output array edges to input field values |
|
|
DO j = jmin, jmax |
|
|
DO i = 1-OLx, imin-1 |
|
|
fld_out(i,j) = fld_in(i,j) |
|
|
END DO |
|
|
DO i = imax+1, sNx+OLx |
|
|
fld_out(i,j) = fld_in(i,j) |
|
|
END DO |
|
|
END DO |
|
|
DO i = 1-OLx, sNx+OLx |
|
|
DO j = 1-OLy, jmin-1 |
|
|
fld_out(i,j) = fld_in(i,j) |
|
|
END DO |
|
|
DO j = jmax+1, sNy+OLy |
|
|
fld_out(i,j) = fld_in(i,j) |
|
|
END DO |
|
|
END DO |
|
|
|
|
986 |
#endif /* ALLOW_KPP */ |
#endif /* ALLOW_KPP */ |
987 |
|
|
988 |
return |
return |
992 |
|
|
993 |
subroutine blmix ( |
subroutine blmix ( |
994 |
I ustar, bfsfc, hbl, stable, casea, diffus, kbl |
I ustar, bfsfc, hbl, stable, casea, diffus, kbl |
995 |
O , dkm1, blmc, ghat, sigma |
O , dkm1, blmc, ghat, sigma, ikey |
996 |
& ) |
& ) |
997 |
|
|
998 |
c mixing coefficients within boundary layer depend on surface |
c mixing coefficients within boundary layer depend on surface |
1016 |
c casea (imt) = 1 in case A |
c casea (imt) = 1 in case A |
1017 |
c diffus(imt,0:Nrp1,mdiff) vertical diffusivities (m^2/s) |
c diffus(imt,0:Nrp1,mdiff) vertical diffusivities (m^2/s) |
1018 |
c kbl(imt) -1 of first grid level below hbl |
c kbl(imt) -1 of first grid level below hbl |
1019 |
_RS ustar (imt) |
_KPP_RL ustar (imt) |
1020 |
_RS bfsfc (imt) |
_KPP_RL bfsfc (imt) |
1021 |
_RS hbl (imt) |
_KPP_RL hbl (imt) |
1022 |
_RS stable(imt) |
_KPP_RL stable(imt) |
1023 |
_RS casea (imt) |
_KPP_RL casea (imt) |
1024 |
_RS diffus(imt,0:Nrp1,mdiff) |
_KPP_RL diffus(imt,0:Nrp1,mdiff) |
1025 |
integer kbl(imt) |
integer kbl(imt) |
1026 |
|
|
1027 |
c output |
c output |
1029 |
c blmc (imt,Nr,mdiff) boundary layer mixing coefficients (m^2/s) |
c blmc (imt,Nr,mdiff) boundary layer mixing coefficients (m^2/s) |
1030 |
c ghat (imt,Nr) nonlocal scalar transport |
c ghat (imt,Nr) nonlocal scalar transport |
1031 |
c sigma(imt) normalized depth (d / hbl) |
c sigma(imt) normalized depth (d / hbl) |
1032 |
_RS dkm1 (imt,mdiff) |
_KPP_RL dkm1 (imt,mdiff) |
1033 |
_RS blmc (imt,Nr,mdiff) |
_KPP_RL blmc (imt,Nr,mdiff) |
1034 |
_RS ghat (imt,Nr) |
_KPP_RL ghat (imt,Nr) |
1035 |
_RS sigma(imt) |
_KPP_RL sigma(imt) |
1036 |
|
integer ikey |
1037 |
|
|
1038 |
#ifdef ALLOW_KPP |
#ifdef ALLOW_KPP |
1039 |
|
|
1041 |
c gat1*(imt) shape function at sigma = 1 |
c gat1*(imt) shape function at sigma = 1 |
1042 |
c dat1*(imt) derivative of shape function at sigma = 1 |
c dat1*(imt) derivative of shape function at sigma = 1 |
1043 |
c ws(imt), wm(imt) turbulent velocity scales (m/s) |
c ws(imt), wm(imt) turbulent velocity scales (m/s) |
1044 |
_RS gat1m(imt), gat1s(imt), gat1t(imt) |
_KPP_RL gat1m(imt), gat1s(imt), gat1t(imt) |
1045 |
_RS dat1m(imt), dat1s(imt), dat1t(imt) |
_KPP_RL dat1m(imt), dat1s(imt), dat1t(imt) |
1046 |
_RS ws(imt), wm(imt) |
_KPP_RL ws(imt), wm(imt) |
1047 |
integer i, kn, ki |
integer i, kn, ki |
1048 |
_RS R, dvdzup, dvdzdn, viscp |
_KPP_RL R, dvdzup, dvdzdn, viscp |
1049 |
_RS difsp, diftp, visch, difsh, difth |
_KPP_RL difsp, diftp, visch, difsh, difth |
1050 |
_RS f1, sig, a1, a2, a3, delhat |
_KPP_RL f1, sig, a1, a2, a3, delhat |
1051 |
_RS Gm, Gs, Gt |
_KPP_RL Gm, Gs, Gt |
1052 |
_RL dum |
_KPP_RL tempVar |
1053 |
|
|
1054 |
_RS p0 , eins |
_KPP_RL p0 , eins |
1055 |
parameter (p0=0.0, eins=1.0) |
parameter (p0=0.0, eins=1.0) |
1056 |
|
|
1057 |
c----------------------------------------------------------------------- |
c----------------------------------------------------------------------- |
1067 |
O wm, ws ) |
O wm, ws ) |
1068 |
|
|
1069 |
do i = 1, imt |
do i = 1, imt |
1070 |
|
wm(i) = sign(eins,wm(i))*max(phepsi,abs(wm(i))) |
1071 |
|
ws(i) = sign(eins,ws(i))*max(phepsi,abs(ws(i))) |
1072 |
|
end do |
1073 |
|
CADJ STORE wm = comlev1_kpp, key = ikey |
1074 |
|
CADJ STORE ws = comlev1_kpp, key = ikey |
1075 |
|
|
1076 |
|
do i = 1, imt |
1077 |
|
|
1078 |
kn = int(caseA(i)+phepsi) *(kbl(i) -1) + |
kn = int(caseA(i)+phepsi) *(kbl(i) -1) + |
1079 |
$ (1 - int(caseA(i)+phepsi)) * kbl(i) |
$ (1 - int(caseA(i)+phepsi)) * kbl(i) |
1103 |
difsh = diffus(i,kn,2) + difsp * delhat |
difsh = diffus(i,kn,2) + difsp * delhat |
1104 |
difth = diffus(i,kn,3) + diftp * delhat |
difth = diffus(i,kn,3) + diftp * delhat |
1105 |
|
|
|
#ifdef KPP_TEST_DENOM |
|
|
ctl replace (Important!!! not phepsi**4 !!!) |
|
1106 |
f1 = stable(i) * conc1 * bfsfc(i) / |
f1 = stable(i) * conc1 * bfsfc(i) / |
1107 |
& max(ustar(i)**4,phepsi) |
& max(ustar(i)**4,phepsi) |
|
wm(i) = sign(eins,wm(i))*max(phepsi,abs(wm(i))) |
|
1108 |
gat1m(i) = visch / hbl(i) / wm(i) |
gat1m(i) = visch / hbl(i) / wm(i) |
1109 |
dat1m(i) = -viscp / wm(i) + f1 * visch |
dat1m(i) = -viscp / wm(i) + f1 * visch |
|
#else |
|
|
f1 = stable(i) * conc1 * bfsfc(i) / (ustar(i)**4+epsln) |
|
|
gat1m(i) = visch / hbl(i) / (wm(i)+epsln) |
|
|
dat1m(i) = -viscp / (wm(i)+epsln) + f1 * visch |
|
|
#endif |
|
1110 |
dat1m(i) = min(dat1m(i),p0) |
dat1m(i) = min(dat1m(i),p0) |
1111 |
|
|
|
#ifdef KPP_TEST_DENOM |
|
|
ws(i) = sign(eins,ws(i))*max(phepsi,abs(ws(i))) |
|
1112 |
gat1s(i) = difsh / hbl(i) / ws(i) |
gat1s(i) = difsh / hbl(i) / ws(i) |
1113 |
dat1s(i) = -difsp / ws(i) + f1 * difsh |
dat1s(i) = -difsp / ws(i) + f1 * difsh |
|
#else |
|
|
gat1s(i) = difsh / hbl(i) / (ws(i)+epsln) |
|
|
dat1s(i) = -difsp / (ws(i)+epsln) + f1 * difsh |
|
|
#endif |
|
1114 |
dat1s(i) = min(dat1s(i),p0) |
dat1s(i) = min(dat1s(i),p0) |
1115 |
|
|
|
#ifdef KPP_TEST_DENOM |
|
1116 |
gat1t(i) = difth / hbl(i) / ws(i) |
gat1t(i) = difth / hbl(i) / ws(i) |
1117 |
dat1t(i) = -diftp / ws(i) + f1 * difth |
dat1t(i) = -diftp / ws(i) + f1 * difth |
|
#else |
|
|
gat1t(i) = difth / hbl(i) / (ws(i)+epsln) |
|
|
dat1t(i) = -diftp / (ws(i)+epsln) + f1 * difth |
|
|
#endif |
|
1118 |
dat1t(i) = min(dat1t(i),p0) |
dat1t(i) = min(dat1t(i),p0) |
1119 |
|
|
1120 |
end do |
end do |
1158 |
c----------------------------------------------------------------------- |
c----------------------------------------------------------------------- |
1159 |
c nonlocal transport term = ghat * <ws>o |
c nonlocal transport term = ghat * <ws>o |
1160 |
c----------------------------------------------------------------------- |
c----------------------------------------------------------------------- |
1161 |
#ifdef KPP_TEST_DENOM |
|
1162 |
dum = ws(i) * hbl(i) |
tempVar = ws(i) * hbl(i) |
1163 |
ctl replace |
ghat(i,ki) = (1.-stable(i)) * cg / max(phepsi,tempVar) |
|
ghat(i,ki) = (1.-stable(i)) * cg / max(phepsi,dum) |
|
|
ctl end-replace |
|
|
#else |
|
|
dum = ws(i) * hbl(i) + epsln |
|
|
ghat(i,ki) = (1. - stable(i)) * cg / dum |
|
|
#endif |
|
1164 |
|
|
1165 |
end do |
end do |
1166 |
end do |
end do |
1218 |
c kbl(imt) grid above hbl |
c kbl(imt) grid above hbl |
1219 |
c diffus(imt,0:Nrp1,mdiff) vertical diffusivities (m^2/s) |
c diffus(imt,0:Nrp1,mdiff) vertical diffusivities (m^2/s) |
1220 |
c casea(imt) = 1 in caseA, = 0 in case B |
c casea(imt) = 1 in caseA, = 0 in case B |
1221 |
_RS dkm1 (imt,mdiff) |
_KPP_RL dkm1 (imt,mdiff) |
1222 |
_RS hbl (imt) |
_KPP_RL hbl (imt) |
1223 |
integer kbl (imt) |
integer kbl (imt) |
1224 |
_RS diffus(imt,0:Nrp1,mdiff) |
_KPP_RL diffus(imt,0:Nrp1,mdiff) |
1225 |
_RS casea (imt) |
_KPP_RL casea (imt) |
1226 |
|
|
1227 |
c input/output |
c input/output |
1228 |
c nonlocal transport, modified ghat at kbl(i)-1 interface (s/m**2) |
c nonlocal transport, modified ghat at kbl(i)-1 interface (s/m**2) |
1229 |
_RS ghat (imt,Nr) |
_KPP_RL ghat (imt,Nr) |
1230 |
|
|
1231 |
c output |
c output |
1232 |
c enhanced bound. layer mixing coeff. |
c enhanced bound. layer mixing coeff. |
1233 |
_RS blmc (imt,Nr,mdiff) |
_KPP_RL blmc (imt,Nr,mdiff) |
1234 |
|
|
1235 |
#ifdef ALLOW_KPP |
#ifdef ALLOW_KPP |
1236 |
|
|
1237 |
c local |
c local |
1238 |
c fraction hbl lies beteen zgrid neighbors |
c fraction hbl lies beteen zgrid neighbors |
1239 |
_RS delta |
_KPP_RL delta |
1240 |
integer ki, i, md |
integer ki, i, md |
1241 |
_RS dkmp5, dstar |
_KPP_RL dkmp5, dstar |
1242 |
|
|
1243 |
do i = 1, imt |
do i = 1, imt |
1244 |
ki = kbl(i)-1 |
ki = kbl(i)-1 |
1298 |
#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
1299 |
#include "PARAMS.h" |
#include "PARAMS.h" |
1300 |
#include "KPP_PARAMS.h" |
#include "KPP_PARAMS.h" |
1301 |
|
#include "DYNVARS.h" |
1302 |
|
|
1303 |
c-------------- Routine arguments ----------------------------------------- |
c-------------- Routine arguments ----------------------------------------- |
1304 |
INTEGER bi, bj, myThid |
INTEGER bi, bj, myThid |
1305 |
#ifdef FRUGAL_KPP |
_KPP_RL RHO1 ( ibot:itop, jbot:jtop ) |
1306 |
_RS RHO1 (sNx,sNy) |
_KPP_RL DBLOC ( ibot:itop, jbot:jtop, Nr ) |
1307 |
_RS DBLOC (sNx,sNy,Nr) |
_KPP_RL DBSFC ( ibot:itop, jbot:jtop, Nr ) |
1308 |
_RS DBSFC (sNx,sNy,Nr) |
_KPP_RL TTALPHA( ibot:itop, jbot:jtop, Nrp1 ) |
1309 |
_RS TTALPHA(sNx,sNy,Nrp1) |
_KPP_RL SSBETA ( ibot:itop, jbot:jtop, Nrp1 ) |
|
_RS SSBETA (sNx,sNy,Nrp1) |
|
|
#else |
|
|
_RS RHO1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
|
_RS DBLOC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
|
|
_RS DBSFC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
|
|
_RS TTALPHA(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nrp1) |
|
|
_RS SSBETA (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nrp1) |
|
|
#endif |
|
1310 |
|
|
1311 |
#ifdef ALLOW_KPP |
#ifdef ALLOW_KPP |
1312 |
|
|
1330 |
c calculate density, alpha, beta in surface layer, and set dbsfc to zero |
c calculate density, alpha, beta in surface layer, and set dbsfc to zero |
1331 |
|
|
1332 |
call FIND_RHO( |
call FIND_RHO( |
1333 |
#ifdef FRUGAL_KPP |
I bi, bj, ibot, itop, jbot, jtop, 1, 1, eosType, |
1334 |
I bi, bj, 1, sNx, 1, sNy, 1, 1, eosType, |
I theta, salt, |
|
#else |
|
|
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, 1, eosType, |
|
|
#endif |
|
1335 |
O WORK1, |
O WORK1, |
1336 |
I myThid ) |
I myThid ) |
1337 |
|
|
1338 |
call FIND_ALPHA( |
call FIND_ALPHA( |
1339 |
#ifdef FRUGAL_KPP |
I bi, bj, ibot, itop, jbot, jtop, 1, 1, eosType, |
|
I bi, bj, 1, sNx, 1, sNy, 1, 1, eosType, |
|
|
#else |
|
|
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, 1, eosType, |
|
|
#endif |
|
1340 |
O WORK2 ) |
O WORK2 ) |
1341 |
|
|
1342 |
call FIND_BETA( |
call FIND_BETA( |
1343 |
#ifdef FRUGAL_KPP |
I bi, bj, ibot, itop, jbot, jtop, 1, 1, eosType, |
|
I bi, bj, 1, sNx, 1, sNy, 1, 1, eosType, |
|
|
#else |
|
|
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, 1, eosType, |
|
|
#endif |
|
1344 |
O WORK3 ) |
O WORK3 ) |
1345 |
|
|
1346 |
#ifdef FRUGAL_KPP |
DO J = jbot, jtop |
1347 |
DO J = 1, sNy |
DO I = ibot, itop |
|
DO I = 1, sNx |
|
|
#else |
|
|
DO J = 1-OLy, sNy+OLy |
|
|
DO I = 1-OLx, sNx+OLx |
|
|
#endif |
|
1348 |
RHO1(I,J) = WORK1(I,J) + rhonil |
RHO1(I,J) = WORK1(I,J) + rhonil |
1349 |
TTALPHA(I,J,1) = WORK2(I,J) |
TTALPHA(I,J,1) = WORK2(I,J) |
1350 |
SSBETA(I,J,1) = WORK3(I,J) |
SSBETA(I,J,1) = WORK3(I,J) |
1358 |
DO K = 2, Nr |
DO K = 2, Nr |
1359 |
|
|
1360 |
call FIND_RHO( |
call FIND_RHO( |
1361 |
#ifdef FRUGAL_KPP |
I bi, bj, ibot, itop, jbot, jtop, K, K, eosType, |
1362 |
I bi, bj, 1, sNx, 1, sNy, K, K, eosType, |
I theta, salt, |
|
#else |
|
|
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, K, K, eosType, |
|
|
#endif |
|
1363 |
O RHOK, |
O RHOK, |
1364 |
I myThid ) |
I myThid ) |
1365 |
|
|
1366 |
call FIND_RHO( |
call FIND_RHO( |
1367 |
#ifdef FRUGAL_KPP |
I bi, bj, ibot, itop, jbot, jtop, K-1, K, eosType, |
1368 |
I bi, bj, 1, sNx, 1, sNy, K-1, K, eosType, |
I theta, salt, |
|
#else |
|
|
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, K-1, K, eosType, |
|
|
#endif |
|
1369 |
O RHOKM1, |
O RHOKM1, |
1370 |
I myThid ) |
I myThid ) |
1371 |
|
|
1372 |
call FIND_RHO( |
call FIND_RHO( |
1373 |
#ifdef FRUGAL_KPP |
I bi, bj, ibot, itop, jbot, jtop, 1, K, eosType, |
1374 |
I bi, bj, 1, sNx, 1, sNy, 1, K, eosType, |
I theta, salt, |
|
#else |
|
|
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, K, eosType, |
|
|
#endif |
|
1375 |
O RHO1K, |
O RHO1K, |
1376 |
I myThid ) |
I myThid ) |
1377 |
|
|
1378 |
call FIND_ALPHA( |
call FIND_ALPHA( |
1379 |
#ifdef FRUGAL_KPP |
I bi, bj, ibot, itop, jbot, jtop, K, K, eosType, |
|
I bi, bj, 1, sNx, 1, sNy, K, K, eosType, |
|
|
#else |
|
|
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, K, K, eosType, |
|
|
#endif |
|
1380 |
O WORK1 ) |
O WORK1 ) |
1381 |
|
|
1382 |
call FIND_BETA( |
call FIND_BETA( |
1383 |
#ifdef FRUGAL_KPP |
I bi, bj, ibot, itop, jbot, jtop, K, K, eosType, |
|
I bi, bj, 1, sNx, 1, sNy, K, K, eosType, |
|
|
#else |
|
|
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, K, K, eosType, |
|
|
#endif |
|
1384 |
O WORK2 ) |
O WORK2 ) |
1385 |
|
|
1386 |
#ifdef FRUGAL_KPP |
DO J = jbot, jtop |
1387 |
DO J = 1, sNy |
DO I = ibot, itop |
|
DO I = 1, sNx |
|
|
#else |
|
|
DO J = 1-OLy, sNy+OLy |
|
|
DO I = 1-OLx, sNx+OLx |
|
|
#endif |
|
1388 |
TTALPHA(I,J,K) = WORK1 (I,J) |
TTALPHA(I,J,K) = WORK1 (I,J) |
1389 |
SSBETA(I,J,K) = WORK2 (I,J) |
SSBETA(I,J,K) = WORK2 (I,J) |
1390 |
DBLOC(I,J,K-1) = gravity * (RHOK(I,J) - RHOKM1(I,J)) / |
DBLOC(I,J,K-1) = gravity * (RHOK(I,J) - RHOKM1(I,J)) / |
1397 |
END DO |
END DO |
1398 |
|
|
1399 |
c compute arrays for K = Nrp1 |
c compute arrays for K = Nrp1 |
1400 |
#ifdef FRUGAL_KPP |
DO J = jbot, jtop |
1401 |
DO J = 1, sNy |
DO I = ibot, itop |
|
DO I = 1, sNx |
|
|
#else |
|
|
DO J = 1-OLy, sNy+OLy |
|
|
DO I = 1-OLx, sNx+OLx |
|
|
#endif |
|
1402 |
TTALPHA(I,J,Nrp1) = TTALPHA(I,J,Nr) |
TTALPHA(I,J,Nrp1) = TTALPHA(I,J,Nr) |
1403 |
SSBETA(I,J,Nrp1) = SSBETA(I,J,Nr) |
SSBETA(I,J,Nrp1) = SSBETA(I,J,Nr) |
1404 |
DBLOC(I,J,Nr) = 0. |
DBLOC(I,J,Nr) = 0. |