7 |
C !ROUTINE: GGL90_CALC |
C !ROUTINE: GGL90_CALC |
8 |
|
|
9 |
C !INTERFACE: ====================================================== |
C !INTERFACE: ====================================================== |
10 |
subroutine GGL90_CALC( |
SUBROUTINE GGL90_CALC( |
11 |
I bi, bj, myTime, myThid ) |
I bi, bj, sigmaR, myTime, myIter, myThid ) |
12 |
|
|
13 |
|
|
14 |
C !DESCRIPTION: \bv |
C !DESCRIPTION: \bv |
15 |
C /==========================================================\ |
C *==========================================================* |
16 |
C | SUBROUTINE GGL90_CALC | |
C | SUBROUTINE GGL90_CALC | |
17 |
C | o Compute all GGL90 fields defined in GGL90.h | |
C | o Compute all GGL90 fields defined in GGL90.h | |
18 |
C |==========================================================| |
C *==========================================================* |
19 |
C | Equation numbers refer to | |
C | Equation numbers refer to | |
20 |
C | Gaspar et al. (1990), JGR 95 (C9), pp 16,179 | |
C | Gaspar et al. (1990), JGR 95 (C9), pp 16,179 | |
21 |
C | Some parts of the implementation follow Blanke and | |
C | Some parts of the implementation follow Blanke and | |
22 |
C | Delecuse (1993), JPO, and OPA code, in particular the | |
C | Delecuse (1993), JPO, and OPA code, in particular the | |
23 |
C | computation of the | |
C | computation of the | |
24 |
C | mixing length = max(min(lk,depth),lkmin) | |
C | mixing length = max(min(lk,depth),lkmin) | |
25 |
C \==========================================================/ |
C *==========================================================* |
|
IMPLICIT NONE |
|
|
C |
|
|
C-------------------------------------------------------------------- |
|
26 |
|
|
27 |
C global parameters updated by ggl90_calc |
C global parameters updated by ggl90_calc |
28 |
C GGL90TKE - sub-grid turbulent kinetic energy (m^2/s^2) |
C GGL90TKE :: sub-grid turbulent kinetic energy (m^2/s^2) |
29 |
C GGL90viscAz - GGL90 eddy viscosity coefficient (m^2/s) |
C GGL90viscAz :: GGL90 eddy viscosity coefficient (m^2/s) |
30 |
C GGL90diffKzT - GGL90 diffusion coefficient for temperature (m^2/s) |
C GGL90diffKzT :: GGL90 diffusion coefficient for temperature (m^2/s) |
|
C |
|
31 |
C \ev |
C \ev |
32 |
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33 |
C !USES: ============================================================ |
C !USES: ============================================================ |
34 |
|
IMPLICIT NONE |
35 |
#include "SIZE.h" |
#include "SIZE.h" |
36 |
#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
37 |
#include "PARAMS.h" |
#include "PARAMS.h" |
41 |
#include "GRID.h" |
#include "GRID.h" |
42 |
|
|
43 |
C !INPUT PARAMETERS: =================================================== |
C !INPUT PARAMETERS: =================================================== |
44 |
c Routine arguments |
C Routine arguments |
45 |
c bi, bj - array indices on which to apply calculations |
C bi, bj :: Current tile indices |
46 |
c myTime - Current time in simulation |
C sigmaR :: Vertical gradient of iso-neutral density |
47 |
|
C myTime :: Current time in simulation |
48 |
|
C myIter :: Current time-step number |
49 |
|
C myThid :: My Thread Id number |
50 |
INTEGER bi, bj |
INTEGER bi, bj |
51 |
INTEGER myThid |
_RL sigmaR(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
52 |
_RL myTime |
_RL myTime |
53 |
|
INTEGER myIter |
54 |
|
INTEGER myThid |
55 |
|
CEOP |
56 |
|
|
57 |
#ifdef ALLOW_GGL90 |
#ifdef ALLOW_GGL90 |
58 |
|
|
59 |
C !LOCAL VARIABLES: ==================================================== |
C !LOCAL VARIABLES: ==================================================== |
60 |
c Local constants |
C Local constants |
61 |
C iMin, iMax, jMin, jMax, I, J - array computation indices |
C iMin,iMax,jMin,jMax :: index boundaries of computation domain |
62 |
C K, Kp1, km1, kSurf, kBottom - vertical loop indices |
C i, j, k, kp1,km1 :: array computation indices |
63 |
C ab15, ab05 - weights for implicit timestepping |
C kSurf, kBottom :: vertical indices of domain boundaries |
64 |
C uStarSquare - square of friction velocity |
C explDissFac :: explicit Dissipation Factor (in [0-1]) |
65 |
C verticalShear - (squared) vertical shear of horizontal velocity |
C implDissFac :: implicit Dissipation Factor (in [0-1]) |
66 |
C Nsquare - squared buoyancy freqency |
C uStarSquare :: square of friction velocity |
67 |
C RiNumber - local Richardson number |
C verticalShear :: (squared) vertical shear of horizontal velocity |
68 |
C KappaM - (local) viscosity parameter (eq.10) |
C Nsquare :: squared buoyancy freqency |
69 |
C KappaH - (local) diffusivity parameter for temperature (eq.11) |
C RiNumber :: local Richardson number |
70 |
C KappaE - (local) diffusivity parameter for TKE (eq.15) |
C KappaM :: (local) viscosity parameter (eq.10) |
71 |
C buoyFreq - buoyancy freqency |
C KappaH :: (local) diffusivity parameter for temperature (eq.11) |
72 |
C TKEdissipation - dissipation of TKE |
C KappaE :: (local) diffusivity parameter for TKE (eq.15) |
73 |
C GGL90mixingLength- mixing length of scheme following Banke+Delecuse |
C TKEdissipation :: dissipation of TKE |
74 |
C rMixingLength- inverse of mixing length |
C GGL90mixingLength:: mixing length of scheme following Banke+Delecuse |
75 |
C totalDepth - thickness of water column (inverse of recip_Rcol) |
C rMixingLength:: inverse of mixing length |
76 |
C TKEPrandtlNumber - here, an empirical function of the Richardson number |
C totalDepth :: thickness of water column (inverse of recip_Rcol) |
77 |
C rhoK, rhoKm1 - density at layer K and Km1 (relative to K) |
C TKEPrandtlNumber :: here, an empirical function of the Richardson number |
|
C gTKE - right hand side of implicit equation |
|
78 |
INTEGER iMin ,iMax ,jMin ,jMax |
INTEGER iMin ,iMax ,jMin ,jMax |
79 |
INTEGER I, J, K, Kp1, Km1, kSurf, kBottom |
INTEGER i, j, k, kp1, km1, kSurf, kBottom |
80 |
_RL ab15, ab05 |
_RL explDissFac, implDissFac |
81 |
_RL uStarSquare |
_RL uStarSquare |
82 |
_RL verticalShear |
_RL verticalShear |
83 |
_RL KappaM, KappaH |
_RL KappaM, KappaH |
84 |
_RL Nsquare |
c _RL Nsquare |
85 |
|
_RL Nsquare(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
86 |
_RL deltaTggl90 |
_RL deltaTggl90 |
87 |
_RL SQRTTKE |
c _RL SQRTTKE |
88 |
|
_RL SQRTTKE(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
89 |
_RL RiNumber |
_RL RiNumber |
90 |
_RL TKEdissipation |
_RL TKEdissipation |
91 |
_RL tempU, tempV, prTemp |
_RL tempU, tempV, prTemp |
92 |
|
_RL MaxLength, tmpmlx, tmpVisc |
93 |
_RL TKEPrandtlNumber (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL TKEPrandtlNumber (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
94 |
_RL GGL90mixingLength(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL GGL90mixingLength(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
95 |
_RL rMixingLength(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL rMixingLength (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
96 |
|
_RL mxLength_Dn (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
97 |
_RL KappaE (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL KappaE (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
|
_RL rhoK (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
|
_RL rhoKm1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
98 |
_RL totalDepth (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL totalDepth (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
99 |
_RL gTKE (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL GGL90visctmp (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
100 |
C tri-diagonal matrix |
C- tri-diagonal matrix |
101 |
_RL a(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL a3d(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
102 |
_RL b(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL b3d(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
103 |
_RL c(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL c3d(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
104 |
|
INTEGER errCode |
105 |
#ifdef ALLOW_GGL90_HORIZDIFF |
#ifdef ALLOW_GGL90_HORIZDIFF |
106 |
C xA, yA - area of lateral faces |
C xA, yA :: area of lateral faces |
107 |
C dfx, dfy - diffusive flux across lateral faces |
C dfx, dfy :: diffusive flux across lateral faces |
108 |
|
C gTKE :: right hand side of diffusion equation |
109 |
_RL xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
110 |
_RL yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
111 |
_RL dfx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL dfx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
112 |
_RL dfy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL dfy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
113 |
|
_RL gTKE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
114 |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
115 |
CEOP |
#ifdef ALLOW_GGL90_SMOOTH |
116 |
|
_RL p4, p8, p16 |
117 |
|
p4=0.25 _d 0 |
118 |
|
p8=0.125 _d 0 |
119 |
|
p16=0.0625 _d 0 |
120 |
|
#endif |
121 |
iMin = 2-OLx |
iMin = 2-OLx |
122 |
iMax = sNx+OLx-1 |
iMax = sNx+OLx-1 |
123 |
jMin = 2-OLy |
jMin = 2-OLy |
125 |
|
|
126 |
C set separate time step (should be deltaTtracer) |
C set separate time step (should be deltaTtracer) |
127 |
deltaTggl90 = dTtracerLev(1) |
deltaTggl90 = dTtracerLev(1) |
128 |
C |
|
129 |
kSurf = 1 |
kSurf = 1 |
130 |
C implicit timestepping weights for dissipation |
C explicit/implicit timestepping weights for dissipation |
131 |
ab15 = 1.5 _d 0 |
explDissFac = 0. _d 0 |
132 |
ab05 = -0.5 _d 0 |
implDissFac = 1. _d 0 - explDissFac |
|
ab15 = 1. _d 0 |
|
|
ab05 = 0. _d 0 |
|
133 |
|
|
134 |
C Initialize local fields |
C Initialize local fields |
135 |
DO K = 1, Nr |
DO k = 1, Nr |
136 |
DO J=1-Oly,sNy+Oly |
DO j=1-OLy,sNy+OLy |
137 |
DO I=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
138 |
gTKE(I,J,K) = 0. _d 0 |
KappaE(i,j,k) = 0. _d 0 |
139 |
KappaE(I,J,K) = 0. _d 0 |
TKEPrandtlNumber(i,j,k) = 1. _d 0 |
140 |
TKEPrandtlNumber(I,J,K) = 0. _d 0 |
GGL90mixingLength(i,j,k) = GGL90mixingLengthMin |
141 |
GGL90mixingLength(I,J,K) = GGL90mixingLengthMin |
GGL90visctmp(i,j,k) = 0. _d 0 |
142 |
rMixingLength(I,J,K) = 0. _d 0 |
#ifndef SOLVE_DIAGONAL_LOWMEMORY |
143 |
|
a3d(i,j,k) = 0. _d 0 |
144 |
|
b3d(i,j,k) = 1. _d 0 |
145 |
|
c3d(i,j,k) = 0. _d 0 |
146 |
|
#endif |
147 |
ENDDO |
ENDDO |
148 |
ENDDO |
ENDDO |
149 |
ENDDO |
ENDDO |
150 |
DO J=1-Oly,sNy+Oly |
DO j=1-OLy,sNy+OLy |
151 |
DO I=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
152 |
rhoK (I,J) = 0. _d 0 |
totalDepth(i,j) = Ro_surf(i,j,bi,bj) - R_low(i,j,bi,bj) |
153 |
rhoKm1 (I,J) = 0. _d 0 |
rMixingLength(i,j,1) = 0. _d 0 |
154 |
totalDepth(I,J) = 0. _d 0 |
mxLength_Dn(i,j,1) = GGL90mixingLengthMin |
155 |
IF ( recip_Rcol(I,J,bi,bj) .NE. 0. ) |
SQRTTKE(i,j,1) = SQRT( GGL90TKE(i,j,1,bi,bj) ) |
|
& totalDepth(I,J) = 1./recip_Rcol(I,J,bi,bj) |
|
156 |
ENDDO |
ENDDO |
157 |
ENDDO |
ENDDO |
158 |
|
|
159 |
C start k-loop |
C start k-loop |
160 |
DO K = 2, Nr |
DO k = 2, Nr |
161 |
Km1 = K-1 |
c km1 = k-1 |
162 |
Kp1 = MIN(Nr,K+1) |
c kp1 = MIN(Nr,k+1) |
163 |
CALL FIND_RHO_2D( |
DO j=jMin,jMax |
164 |
I iMin, iMax, jMin, jMax, K, |
DO i=iMin,iMax |
165 |
I theta(1-OLx,1-OLy,Km1,bi,bj), salt(1-OLx,1-OLy,Km1,bi,bj), |
SQRTTKE(i,j,k)=SQRT( GGL90TKE(i,j,k,bi,bj) ) |
166 |
O rhoKm1, |
|
|
I Km1, bi, bj, myThid ) |
|
|
|
|
|
CALL FIND_RHO_2D( |
|
|
I iMin, iMax, jMin, jMax, K, |
|
|
I theta(1-OLx,1-OLy,K,bi,bj), salt(1-OLx,1-OLy,K,bi,bj), |
|
|
O rhoK, |
|
|
I K, bi, bj, myThid ) |
|
|
DO J=jMin,jMax |
|
|
DO I=iMin,iMax |
|
|
SQRTTKE=SQRT( GGL90TKE(I,J,K,bi,bj) ) |
|
|
C |
|
167 |
C buoyancy frequency |
C buoyancy frequency |
168 |
C |
Nsquare(i,j,k) = gravity*gravitySign*recip_rhoConst |
169 |
Nsquare = - gravity*recip_rhoConst*recip_drC(K) |
& * sigmaR(i,j,k) |
170 |
& * ( rhoKm1(I,J) - rhoK(I,J) )*maskC(I,J,K,bi,bj) |
cC vertical shear term (dU/dz)^2+(dV/dz)^2 |
171 |
C vertical shear term (dU/dz)^2+(dV/dz)^2 |
c tempU= .5 _d 0*( uVel(i,j,km1,bi,bj)+uVel(i+1,j,km1,bi,bj) |
172 |
tempu= .5*( uVel(I,J,Km1,bi,bj)+uVel(I+1,J,Km1,bi,bj) |
c & -( uVel(i,j,k ,bi,bj)+uVel(i+1,j,k ,bi,bj)) ) |
173 |
& - (uVel(I,J,K ,bi,bj)+uVel(I+1,J,K ,bi,bj)) ) |
c & *recip_drC(k) |
174 |
& *recip_drC(K) |
c tempV= .5 _d 0*( vVel(i,j,km1,bi,bj)+vVel(i,j+1,km1,bi,bj) |
175 |
tempv= .5*( vVel(I,J,Km1,bi,bj)+vVel(I,J+1,Km1,bi,bj) |
c & -( vVel(i,j,k ,bi,bj)+vVel(i,j+1,k ,bi,bj)) ) |
176 |
& - (vVel(I,J,K ,bi,bj)+vVel(I,J+1,K ,bi,bj)) ) |
c & *recip_drC(k) |
177 |
& *recip_drC(K) |
c verticalShear = tempU*tempU + tempV*tempV |
178 |
verticalShear = tempU*tempU + tempV*tempV |
c RiNumber = MAX(Nsquare(i,j,k),0. _d 0)/(verticalShear+GGL90eps) |
179 |
RiNumber = MAX(Nsquare,0. _d 0)/(verticalShear+GGL90eps) |
cC compute Prandtl number (always greater than 0) |
180 |
C compute Prandtl number (always greater than 0) |
c prTemp = 1. _d 0 |
181 |
prTemp = 1. _d 0 |
c IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
182 |
IF ( RiNumber .GE. 0.2 ) prTemp = 5.0 * RiNumber |
c TKEPrandtlNumber(i,j,k) = MIN(10. _d 0,prTemp) |
|
TKEPrandtlNumber(I,J,K) = MIN(10.0 _d 0,prTemp) |
|
183 |
C mixing length |
C mixing length |
184 |
GGL90mixingLength(I,J,K) = |
GGL90mixingLength(i,j,k) = SQRTTWO * |
185 |
& SQRTTKE/SQRT( MAX(Nsquare,GGL90eps) ) |
& SQRTTKE(i,j,k)/SQRT( MAX(Nsquare(i,j,k),GGL90eps) ) |
|
C impose upper bound for mixing length (total depth) |
|
|
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
|
|
& totalDepth(I,J)) |
|
|
C impose minimum mixing length (to avoid division by zero) |
|
|
GGL90mixingLength(I,J,K) = MAX(GGL90mixingLength(I,J,K), |
|
|
& GGL90mixingLengthMin) |
|
|
rMixingLength(I,J,K) = 1. _d 0 /GGL90mixingLength(I,J,K) |
|
|
C viscosity of last timestep |
|
|
KappaM = GGL90ck*GGL90mixingLength(I,J,K)*SQRTTKE |
|
|
KappaE(I,J,K) = KappaM*GGL90alpha |
|
|
C dissipation term |
|
|
TKEdissipation = ab05*GGL90ceps |
|
|
& *SQRTTKE*rMixingLength(I,J,K) |
|
|
& *GGL90TKE(I,J,K,bi,bj) |
|
|
C sum up contributions to form the right hand side |
|
|
gTKE(I,J,K) = GGL90TKE(I,J,K,bi,bj) |
|
|
& + deltaTggl90*( |
|
|
& + KappaM*verticalShear |
|
|
& - KappaM*Nsquare/TKEPrandtlNumber(I,J,K) |
|
|
& - TKEdissipation |
|
|
& ) |
|
186 |
ENDDO |
ENDDO |
187 |
ENDDO |
ENDDO |
188 |
ENDDO |
ENDDO |
189 |
|
|
190 |
|
C- Impose upper and lower bound for mixing length |
191 |
|
IF ( mxlMaxFlag .EQ. 0 ) THEN |
192 |
|
|
193 |
|
DO k=2,Nr |
194 |
|
DO j=jMin,jMax |
195 |
|
DO i=iMin,iMax |
196 |
|
MaxLength=totalDepth(i,j) |
197 |
|
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
198 |
|
& MaxLength) |
199 |
|
ENDDO |
200 |
|
ENDDO |
201 |
|
ENDDO |
202 |
|
|
203 |
|
DO k=2,Nr |
204 |
|
DO j=jMin,jMax |
205 |
|
DO i=iMin,iMax |
206 |
|
GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
207 |
|
& GGL90mixingLengthMin) |
208 |
|
rMixingLength(i,j,k) = 1. _d 0 / GGL90mixingLength(i,j,k) |
209 |
|
ENDDO |
210 |
|
ENDDO |
211 |
|
ENDDO |
212 |
|
|
213 |
|
ELSEIF ( mxlMaxFlag .EQ. 1 ) THEN |
214 |
|
|
215 |
|
DO k=2,Nr |
216 |
|
DO j=jMin,jMax |
217 |
|
DO i=iMin,iMax |
218 |
|
MaxLength=MIN(Ro_surf(i,j,bi,bj)-rF(k),rF(k)-R_low(i,j,bi,bj)) |
219 |
|
c MaxLength=MAX(MaxLength,20. _d 0) |
220 |
|
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
221 |
|
& MaxLength) |
222 |
|
ENDDO |
223 |
|
ENDDO |
224 |
|
ENDDO |
225 |
|
|
226 |
|
DO k=2,Nr |
227 |
|
DO j=jMin,jMax |
228 |
|
DO i=iMin,iMax |
229 |
|
GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
230 |
|
& GGL90mixingLengthMin) |
231 |
|
rMixingLength(i,j,k) = 1. _d 0 / GGL90mixingLength(i,j,k) |
232 |
|
ENDDO |
233 |
|
ENDDO |
234 |
|
ENDDO |
235 |
|
|
236 |
|
ELSEIF ( mxlMaxFlag .EQ. 2 ) THEN |
237 |
|
|
238 |
|
cgf ensure mixing between first and second level |
239 |
|
c DO j=jMin,jMax |
240 |
|
c DO i=iMin,iMax |
241 |
|
c GGL90mixingLength(i,j,2)=drF(1) |
242 |
|
c ENDDO |
243 |
|
c ENDDO |
244 |
|
cgf |
245 |
|
DO k=2,Nr |
246 |
|
DO j=jMin,jMax |
247 |
|
DO i=iMin,iMax |
248 |
|
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
249 |
|
& GGL90mixingLength(i,j,k-1)+drF(k-1)) |
250 |
|
ENDDO |
251 |
|
ENDDO |
252 |
|
ENDDO |
253 |
|
DO j=jMin,jMax |
254 |
|
DO i=iMin,iMax |
255 |
|
GGL90mixingLength(i,j,Nr) = MIN(GGL90mixingLength(i,j,Nr), |
256 |
|
& GGL90mixingLengthMin+drF(Nr)) |
257 |
|
ENDDO |
258 |
|
ENDDO |
259 |
|
DO k=Nr-1,2,-1 |
260 |
|
DO j=jMin,jMax |
261 |
|
DO i=iMin,iMax |
262 |
|
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
263 |
|
& GGL90mixingLength(i,j,k+1)+drF(k)) |
264 |
|
ENDDO |
265 |
|
ENDDO |
266 |
|
ENDDO |
267 |
|
|
268 |
|
DO k=2,Nr |
269 |
|
DO j=jMin,jMax |
270 |
|
DO i=iMin,iMax |
271 |
|
GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
272 |
|
& GGL90mixingLengthMin) |
273 |
|
rMixingLength(i,j,k) = 1. _d 0 / GGL90mixingLength(i,j,k) |
274 |
|
ENDDO |
275 |
|
ENDDO |
276 |
|
ENDDO |
277 |
|
|
278 |
|
ELSEIF ( mxlMaxFlag .EQ. 3 ) THEN |
279 |
|
|
280 |
|
DO k=2,Nr |
281 |
|
DO j=jMin,jMax |
282 |
|
DO i=iMin,iMax |
283 |
|
mxLength_Dn(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
284 |
|
& mxLength_Dn(i,j,k-1)+drF(k-1)) |
285 |
|
ENDDO |
286 |
|
ENDDO |
287 |
|
ENDDO |
288 |
|
DO j=jMin,jMax |
289 |
|
DO i=iMin,iMax |
290 |
|
GGL90mixingLength(i,j,Nr) = MIN(GGL90mixingLength(i,j,Nr), |
291 |
|
& GGL90mixingLengthMin+drF(Nr)) |
292 |
|
ENDDO |
293 |
|
ENDDO |
294 |
|
DO k=Nr-1,2,-1 |
295 |
|
DO j=jMin,jMax |
296 |
|
DO i=iMin,iMax |
297 |
|
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
298 |
|
& GGL90mixingLength(i,j,k+1)+drF(k)) |
299 |
|
ENDDO |
300 |
|
ENDDO |
301 |
|
ENDDO |
302 |
|
|
303 |
|
DO k=2,Nr |
304 |
|
DO j=jMin,jMax |
305 |
|
DO i=iMin,iMax |
306 |
|
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
307 |
|
& mxLength_Dn(i,j,k)) |
308 |
|
tmpmlx = SQRT( GGL90mixingLength(i,j,k)*mxLength_Dn(i,j,k) ) |
309 |
|
tmpmlx = MAX( tmpmlx, GGL90mixingLengthMin) |
310 |
|
rMixingLength(i,j,k) = 1. _d 0 / tmpmlx |
311 |
|
ENDDO |
312 |
|
ENDDO |
313 |
|
ENDDO |
314 |
|
|
315 |
|
ELSE |
316 |
|
STOP 'GGL90_CALC: Wrong mxlMaxFlag (mixing length limit)' |
317 |
|
ENDIF |
318 |
|
|
319 |
|
C- Impose minimum mixing length (to avoid division by zero) |
320 |
|
c DO k=2,Nr |
321 |
|
c DO j=jMin,jMax |
322 |
|
c DO i=iMin,iMax |
323 |
|
c GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
324 |
|
c & GGL90mixingLengthMin) |
325 |
|
c rMixingLength(i,j,k) = 1. _d 0 /GGL90mixingLength(i,j,k) |
326 |
|
c ENDDO |
327 |
|
c ENDDO |
328 |
|
c ENDDO |
329 |
|
|
330 |
|
DO k=2,Nr |
331 |
|
km1 = k-1 |
332 |
|
|
333 |
|
#ifdef ALLOW_GGL90_HORIZDIFF |
334 |
|
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
335 |
C horizontal diffusion of TKE (requires an exchange in |
C horizontal diffusion of TKE (requires an exchange in |
336 |
C do_fields_blocking_exchanges) |
C do_fields_blocking_exchanges) |
|
#ifdef ALLOW_GGL90_HORIZDIFF |
|
|
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
|
|
DO K=2,Nr |
|
337 |
C common factors |
C common factors |
338 |
DO j=1-Oly,sNy+Oly |
DO j=1-OLy,sNy+OLy |
339 |
DO i=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
340 |
xA(i,j) = _dyG(i,j,bi,bj) |
xA(i,j) = _dyG(i,j,bi,bj) |
341 |
& *drF(k)*_hFacW(i,j,k,bi,bj) |
& *drF(k)*_hFacW(i,j,k,bi,bj) |
342 |
yA(i,j) = _dxG(i,j,bi,bj) |
yA(i,j) = _dxG(i,j,bi,bj) |
345 |
ENDDO |
ENDDO |
346 |
C Compute diffusive fluxes |
C Compute diffusive fluxes |
347 |
C ... across x-faces |
C ... across x-faces |
348 |
DO j=1-Oly,sNy+Oly |
DO j=1-OLy,sNy+OLy |
349 |
dfx(1-Olx,j)=0. |
dfx(1-OLx,j)=0. _d 0 |
350 |
DO i=1-Olx+1,sNx+Olx |
DO i=1-OLx+1,sNx+OLx |
351 |
dfx(i,j) = -GGL90diffTKEh*xA(i,j) |
dfx(i,j) = -GGL90diffTKEh*xA(i,j) |
352 |
& *_recip_dxC(i,j,bi,bj) |
& *_recip_dxC(i,j,bi,bj) |
353 |
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i-1,j,k,bi,bj)) |
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i-1,j,k,bi,bj)) |
355 |
ENDDO |
ENDDO |
356 |
ENDDO |
ENDDO |
357 |
C ... across y-faces |
C ... across y-faces |
358 |
DO i=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
359 |
dfy(i,1-Oly)=0. |
dfy(i,1-OLy)=0. _d 0 |
360 |
ENDDO |
ENDDO |
361 |
DO j=1-Oly+1,sNy+Oly |
DO j=1-OLy+1,sNy+OLy |
362 |
DO i=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
363 |
dfy(i,j) = -GGL90diffTKEh*yA(i,j) |
dfy(i,j) = -GGL90diffTKEh*yA(i,j) |
364 |
& *_recip_dyC(i,j,bi,bj) |
& *_recip_dyC(i,j,bi,bj) |
365 |
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i,j-1,k,bi,bj)) |
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i,j-1,k,bi,bj)) |
369 |
ENDDO |
ENDDO |
370 |
ENDDO |
ENDDO |
371 |
C Compute divergence of fluxes |
C Compute divergence of fluxes |
372 |
DO j=1-Oly,sNy+Oly-1 |
DO j=1-OLy,sNy+OLy-1 |
373 |
DO i=1-Olx,sNx+Olx-1 |
DO i=1-OLx,sNx+OLx-1 |
374 |
gTKE(i,j,k)=gTKE(i,j,k) |
gTKE(i,j) = |
375 |
& -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k)*recip_rA(i,j,bi,bj) |
& -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k)*recip_rA(i,j,bi,bj) |
376 |
& *( (dfx(i+1,j)-dfx(i,j)) |
& *( (dfx(i+1,j)-dfx(i,j)) |
377 |
& +(dfy(i,j+1)-dfy(i,j)) |
& +(dfy(i,j+1)-dfy(i,j)) |
378 |
& ) |
& ) |
379 |
ENDDO |
ENDDO |
380 |
ENDDO |
ENDDO |
381 |
C end of k-loop |
C end if GGL90diffTKEh .eq. 0. |
382 |
|
ENDIF |
383 |
|
#endif /* ALLOW_GGL90_HORIZDIFF */ |
384 |
|
|
385 |
|
DO j=jMin,jMax |
386 |
|
DO i=iMin,iMax |
387 |
|
C vertical shear term (dU/dz)^2+(dV/dz)^2 |
388 |
|
tempU= .5 _d 0*( uVel(i,j,km1,bi,bj)+uVel(i+1,j,km1,bi,bj) |
389 |
|
& -( uVel(i,j,k ,bi,bj)+uVel(i+1,j,k ,bi,bj)) ) |
390 |
|
& *recip_drC(k) |
391 |
|
tempV= .5 _d 0*( vVel(i,j,km1,bi,bj)+vVel(i,j+1,km1,bi,bj) |
392 |
|
& -( vVel(i,j,k ,bi,bj)+vVel(i,j+1,k ,bi,bj)) ) |
393 |
|
& *recip_drC(k) |
394 |
|
verticalShear = tempU*tempU + tempV*tempV |
395 |
|
RiNumber = MAX(Nsquare(i,j,k),0. _d 0)/(verticalShear+GGL90eps) |
396 |
|
C compute Prandtl number (always greater than 0) |
397 |
|
prTemp = 1. _d 0 |
398 |
|
IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
399 |
|
TKEPrandtlNumber(i,j,k) = MIN(10. _d 0,prTemp) |
400 |
|
c TKEPrandtlNumber(i,j,k) = 1. _d 0 |
401 |
|
|
402 |
|
C viscosity and diffusivity |
403 |
|
KappaM = GGL90ck*GGL90mixingLength(i,j,k)*SQRTTKE(i,j,k) |
404 |
|
GGL90visctmp(i,j,k) = MAX(KappaM,diffKrNrT(k)) |
405 |
|
& * maskC(i,j,k,bi,bj) |
406 |
|
c note: storing GGL90visctmp like this, and using it later to compute |
407 |
|
c GGL9rdiffKr etc. is robust in case of smoothing (e.g. see OPA) |
408 |
|
KappaM = MAX(KappaM,viscArNr(k)) * maskC(i,j,k,bi,bj) |
409 |
|
KappaH = KappaM/TKEPrandtlNumber(i,j,k) |
410 |
|
KappaE(i,j,k) = GGL90alpha * KappaM * maskC(i,j,k,bi,bj) |
411 |
|
|
412 |
|
C dissipation term |
413 |
|
TKEdissipation = explDissFac*GGL90ceps |
414 |
|
& *SQRTTKE(i,j,k)*rMixingLength(i,j,k) |
415 |
|
& *GGL90TKE(i,j,k,bi,bj) |
416 |
|
C partial update with sum of explicit contributions |
417 |
|
GGL90TKE(i,j,k,bi,bj) = GGL90TKE(i,j,k,bi,bj) |
418 |
|
& + deltaTggl90*( |
419 |
|
& + KappaM*verticalShear |
420 |
|
& - KappaH*Nsquare(i,j,k) |
421 |
|
& - TKEdissipation |
422 |
|
& ) |
423 |
|
ENDDO |
424 |
ENDDO |
ENDDO |
425 |
C end if GGL90diffTKEh .eq. 0. |
|
426 |
ENDIF |
#ifdef ALLOW_GGL90_HORIZDIFF |
427 |
|
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
428 |
|
C-- Add horiz. diffusion tendency |
429 |
|
DO j=jMin,jMax |
430 |
|
DO i=iMin,iMax |
431 |
|
GGL90TKE(i,j,k,bi,bj) = GGL90TKE(i,j,k,bi,bj) |
432 |
|
& + gTKE(i,j)*deltaTggl90 |
433 |
|
ENDDO |
434 |
|
ENDDO |
435 |
|
ENDIF |
436 |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
437 |
|
|
438 |
|
C-- end of k loop |
439 |
|
ENDDO |
440 |
|
|
441 |
C ============================================ |
C ============================================ |
442 |
C Implicit time step to update TKE for k=1,Nr; |
C Implicit time step to update TKE for k=1,Nr; |
443 |
C TKE(Nr+1)=0 by default |
C TKE(Nr+1)=0 by default |
446 |
C-- Lower diagonal |
C-- Lower diagonal |
447 |
DO j=jMin,jMax |
DO j=jMin,jMax |
448 |
DO i=iMin,iMax |
DO i=iMin,iMax |
449 |
a(i,j,1) = 0. _d 0 |
a3d(i,j,1) = 0. _d 0 |
450 |
ENDDO |
ENDDO |
451 |
ENDDO |
ENDDO |
452 |
DO k=2,Nr |
DO k=2,Nr |
453 |
km1=MAX(1,k-1) |
km1=MAX(2,k-1) |
454 |
DO j=jMin,jMax |
DO j=jMin,jMax |
455 |
DO i=iMin,iMax |
DO i=iMin,iMax |
456 |
a(i,j,k) = -deltaTggl90 |
C- We keep recip_hFacC in the diffusive flux calculation, |
457 |
& *recip_drF(km1)*recip_hFacI(i,j,k,bi,bj) |
C- but no hFacC in TKE volume control |
458 |
& *.5*(KappaE(i,j, k )+KappaE(i,j,km1)) |
C- No need for maskC(k-1) with recip_hFacC(k-1) |
459 |
& *recip_drC(k) |
a3d(i,j,k) = -deltaTggl90 |
460 |
IF (recip_hFacI(i,j,km1,bi,bj).EQ.0.) a(i,j,k)=0. |
& *recip_drF(k-1)*recip_hFacC(i,j,k-1,bi,bj) |
461 |
|
& *.5 _d 0*(KappaE(i,j, k )+KappaE(i,j,km1)) |
462 |
|
& *recip_drC(k)*maskC(i,j,k,bi,bj) |
463 |
ENDDO |
ENDDO |
464 |
ENDDO |
ENDDO |
465 |
ENDDO |
ENDDO |
466 |
C-- Upper diagonal |
C-- Upper diagonal |
467 |
DO j=jMin,jMax |
DO j=jMin,jMax |
468 |
DO i=iMin,iMax |
DO i=iMin,iMax |
469 |
c(i,j,1) = 0. _d 0 |
c3d(i,j,1) = 0. _d 0 |
|
c(i,j,Nr) = 0. _d 0 |
|
470 |
ENDDO |
ENDDO |
471 |
ENDDO |
ENDDO |
472 |
CML DO k=1,Nr-1 |
DO k=2,Nr |
|
DO k=2,Nr-1 |
|
|
kp1=min(Nr,k+1) |
|
473 |
DO j=jMin,jMax |
DO j=jMin,jMax |
474 |
DO i=iMin,iMax |
DO i=iMin,iMax |
475 |
c(i,j,k) = -deltaTggl90 |
kp1=MAX(1,MIN(klowC(i,j,bi,bj),k+1)) |
476 |
& *recip_drF( k )*recip_hFacI(i,j,k,bi,bj) |
C- We keep recip_hFacC in the diffusive flux calculation, |
477 |
& *.5*(KappaE(i,j,k)+KappaE(i,j,kp1)) |
C- but no hFacC in TKE volume control |
478 |
& *recip_drC(k) |
C- No need for maskC(k) with recip_hFacC(k) |
479 |
IF (recip_hFacI(i,j,kp1,bi,bj).EQ.0.) c(i,j,k)=0. |
c3d(i,j,k) = -deltaTggl90 |
480 |
|
& *recip_drF( k ) * recip_hFacC(i,j,k,bi,bj) |
481 |
|
& *.5 _d 0*(KappaE(i,j,k)+KappaE(i,j,kp1)) |
482 |
|
& *recip_drC(k)*maskC(i,j,k-1,bi,bj) |
483 |
ENDDO |
ENDDO |
484 |
ENDDO |
ENDDO |
485 |
ENDDO |
ENDDO |
486 |
C-- Center diagonal |
C-- Center diagonal |
487 |
DO k=1,Nr |
DO k=1,Nr |
488 |
|
km1 = MAX(k-1,1) |
489 |
DO j=jMin,jMax |
DO j=jMin,jMax |
490 |
DO i=iMin,iMax |
DO i=iMin,iMax |
491 |
b(i,j,k) = 1. _d 0 - c(i,j,k) - a(i,j,k) |
b3d(i,j,k) = 1. _d 0 - c3d(i,j,k) - a3d(i,j,k) |
492 |
& + ab15*deltaTggl90*GGL90ceps*SQRT(GGL90TKE(I,J,K,bi,bj)) |
& + implDissFac*deltaTggl90*GGL90ceps*SQRTTKE(i,j,k) |
493 |
& *rMixingLength(I,J,K) |
& * rMixingLength(i,j,k) |
494 |
|
& * maskC(i,j,k,bi,bj)*maskC(i,j,km1,bi,bj) |
495 |
ENDDO |
ENDDO |
496 |
ENDDO |
ENDDO |
497 |
ENDDO |
ENDDO |
498 |
C end set up matrix |
C end set up matrix |
499 |
|
|
|
C |
|
500 |
C Apply boundary condition |
C Apply boundary condition |
501 |
C |
kp1 = MIN(Nr,kSurf+1) |
502 |
DO J=jMin,jMax |
DO j=jMin,jMax |
503 |
DO I=iMin,iMax |
DO i=iMin,iMax |
504 |
C estimate friction velocity uStar from surface forcing |
C estimate friction velocity uStar from surface forcing |
505 |
uStarSquare = SQRT( |
uStarSquare = SQRT( |
506 |
& ( .5*( surfaceForcingU(I, J, bi,bj) |
& ( .5 _d 0*( surfaceForcingU(i, j, bi,bj) |
507 |
& + surfaceForcingU(I+1,J, bi,bj) ) )**2 |
& + surfaceForcingU(i+1,j, bi,bj) ) )**2 |
508 |
& + ( .5*( surfaceForcingV(I, J, bi,bj) |
& + ( .5 _d 0*( surfaceForcingV(i, j, bi,bj) |
509 |
& + surfaceForcingV(I, J+1,bi,bj) ) )**2 |
& + surfaceForcingV(i, j+1,bi,bj) ) )**2 |
510 |
& ) |
& ) |
511 |
C Dirichlet surface boundary condition for TKE |
C Dirichlet surface boundary condition for TKE |
512 |
gTKE(I,J,kSurf) = MAX(GGL90TKEsurfMin,GGL90m2*uStarSquare) |
GGL90TKE(i,j,kSurf,bi,bj) = maskC(i,j,kSurf,bi,bj) |
513 |
& *maskC(I,J,kSurf,bi,bj) |
& *MAX(GGL90TKEsurfMin,GGL90m2*uStarSquare) |
514 |
|
GGL90TKE(i,j,kp1,bi,bj) = GGL90TKE(i,j,kp1,bi,bj) |
515 |
|
& - a3d(i,j,kp1)*GGL90TKE(i,j,kSurf,bi,bj) |
516 |
|
a3d(i,j,kp1) = 0. _d 0 |
517 |
C Dirichlet bottom boundary condition for TKE = GGL90TKEbottom |
C Dirichlet bottom boundary condition for TKE = GGL90TKEbottom |
518 |
kBottom = MIN(MAX(kLowC(I,J,bi,bj),1),Nr) |
kBottom = MAX(kLowC(i,j,bi,bj),1) |
519 |
gTKE(I,J,kBottom) = gTKE(I,J,kBottom) |
GGL90TKE(i,j,kBottom,bi,bj) = GGL90TKE(i,j,kBottom,bi,bj) |
520 |
& - GGL90TKEbottom*c(I,J,kBottom) |
& - GGL90TKEbottom*c3d(i,j,kBottom) |
521 |
ENDDO |
c3d(i,j,kBottom) = 0. _d 0 |
522 |
ENDDO |
ENDDO |
523 |
C |
ENDDO |
524 |
C solve tri-diagonal system, and store solution on gTKE (previously rhs) |
|
525 |
C |
C solve tri-diagonal system |
526 |
CALL GGL90_SOLVE( bi, bj, iMin, iMax, jMin, jMax, |
CALL SOLVE_TRIDIAGONAL( iMin,iMax, jMin,jMax, |
527 |
I a, b, c, |
I a3d, b3d, c3d, |
528 |
U gTKE, |
U GGL90TKE, |
529 |
I myThid ) |
O errCode, |
530 |
C |
I bi, bj, myThid ) |
531 |
C now update TKE |
|
532 |
C |
DO k=1,Nr |
533 |
DO K=1,Nr |
DO j=jMin,jMax |
534 |
DO J=jMin,jMax |
DO i=iMin,iMax |
|
DO I=iMin,iMax |
|
535 |
C impose minimum TKE to avoid numerical undershoots below zero |
C impose minimum TKE to avoid numerical undershoots below zero |
536 |
GGL90TKE(I,J,K,bi,bj) = MAX( gTKE(I,J,K), GGL90TKEmin ) |
GGL90TKE(i,j,k,bi,bj) = maskC(i,j,k,bi,bj) |
537 |
& * maskC(I,J,K,bi,bj) |
& *MAX( GGL90TKE(i,j,k,bi,bj), GGL90TKEmin ) |
538 |
ENDDO |
ENDDO |
539 |
ENDDO |
ENDDO |
540 |
ENDDO |
ENDDO |
541 |
C |
|
542 |
C end of time step |
C end of time step |
543 |
C =============================== |
C =============================== |
544 |
C compute viscosity coefficients |
|
545 |
C |
DO k=2,Nr |
546 |
DO K=2,Nr |
DO j=1,sNy |
547 |
DO J=jMin,jMax |
DO i=1,sNx |
548 |
DO I=iMin,iMax |
#ifdef ALLOW_GGL90_SMOOTH |
549 |
C Eq. (11), (18) and (21) |
tmpVisc= |
550 |
KappaM = GGL90ck*GGL90mixingLength(I,J,K)* |
& ( |
551 |
& SQRT( GGL90TKE(I,J,K,bi,bj) ) |
& p4 * GGL90visctmp(i ,j ,k) * mskCor(i ,j ,bi,bj) |
552 |
KappaH = KappaM/TKEPrandtlNumber(I,J,K) |
& +p8 *( GGL90visctmp(i-1,j ,k) * mskCor(i-1,j ,bi,bj) |
553 |
C Set a minium (= background) value |
& + GGL90visctmp(i ,j-1,k) * mskCor(i ,j-1,bi,bj) |
554 |
KappaM = MAX(KappaM,viscAr) |
& + GGL90visctmp(i+1,j ,k) * mskCor(i+1,j ,bi,bj) |
555 |
KappaH = MAX(KappaH,diffKrNrT(k)) |
& + GGL90visctmp(i ,j+1,k) * mskCor(i ,j+1,bi,bj)) |
556 |
C Set a maximum and mask land point |
& +p16*( GGL90visctmp(i+1,j+1,k) * mskCor(i+1,j+1,bi,bj) |
557 |
GGL90viscAr(I,J,K,bi,bj) = MIN(KappaM,GGL90viscMax) |
& + GGL90visctmp(i+1,j-1,k) * mskCor(i+1,j-1,bi,bj) |
558 |
& * maskC(I,J,K,bi,bj) |
& + GGL90visctmp(i-1,j+1,k) * mskCor(i-1,j+1,bi,bj) |
559 |
GGL90diffKr(I,J,K,bi,bj) = MIN(KappaH,GGL90diffMax) |
& + GGL90visctmp(i-1,j-1,k) * mskCor(i-1,j-1,bi,bj)) |
560 |
& * maskC(I,J,K,bi,bj) |
& ) |
561 |
|
& /(p4 |
562 |
|
& +p8 *( maskC(i-1,j ,k,bi,bj) * mskCor(i-1,j ,bi,bj) |
563 |
|
& + maskC(i ,j-1,k,bi,bj) * mskCor(i ,j-1,bi,bj) |
564 |
|
& + maskC(i+1,j ,k,bi,bj) * mskCor(i+1,j ,bi,bj) |
565 |
|
& + maskC(i ,j+1,k,bi,bj) * mskCor(i ,j+1,bi,bj)) |
566 |
|
& +p16*( maskC(i+1,j+1,k,bi,bj) * mskCor(i+1,j+1,bi,bj) |
567 |
|
& + maskC(i+1,j-1,k,bi,bj) * mskCor(i+1,j-1,bi,bj) |
568 |
|
& + maskC(i-1,j+1,k,bi,bj) * mskCor(i-1,j+1,bi,bj) |
569 |
|
& + maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj)) |
570 |
|
& )*maskC(i,j,k,bi,bj)*mskCor(i,j,bi,bj) |
571 |
|
#else |
572 |
|
tmpVisc = GGL90visctmp(i,j,k) |
573 |
|
#endif |
574 |
|
tmpVisc = MIN(tmpVisc/TKEPrandtlNumber(i,j,k),GGL90diffMax) |
575 |
|
GGL90diffKr(i,j,k,bi,bj)= MAX( tmpVisc , diffKrNrT(k) ) |
576 |
|
ENDDO |
577 |
|
ENDDO |
578 |
|
ENDDO |
579 |
|
|
580 |
|
DO k=2,Nr |
581 |
|
DO j=1,sNy |
582 |
|
DO i=1,sNx+1 |
583 |
|
#ifdef ALLOW_GGL90_SMOOTH |
584 |
|
tmpVisc = |
585 |
|
& ( |
586 |
|
& p4 *(GGL90visctmp(i ,j ,k) * mskCor(i ,j ,bi,bj) |
587 |
|
& +GGL90visctmp(i-1,j ,k) * mskCor(i-1,j ,bi,bj)) |
588 |
|
& +p8 *(GGL90visctmp(i-1,j-1,k) * mskCor(i-1,j-1,bi,bj) |
589 |
|
& +GGL90visctmp(i-1,j+1,k) * mskCor(i-1,j+1,bi,bj) |
590 |
|
& +GGL90visctmp(i ,j-1,k) * mskCor(i ,j-1,bi,bj) |
591 |
|
& +GGL90visctmp(i ,j+1,k) * mskCor(i ,j+1,bi,bj)) |
592 |
|
& ) |
593 |
|
& /(p4 * 2. _d 0 |
594 |
|
& +p8 *( maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj) |
595 |
|
& + maskC(i-1,j+1,k,bi,bj) * mskCor(i-1,j+1,bi,bj) |
596 |
|
& + maskC(i ,j-1,k,bi,bj) * mskCor(i ,j-1,bi,bj) |
597 |
|
& + maskC(i ,j+1,k,bi,bj) * mskCor(i ,j+1,bi,bj)) |
598 |
|
& ) |
599 |
|
& *maskC(i ,j,k,bi,bj)*mskCor(i ,j,bi,bj) |
600 |
|
& *maskC(i-1,j,k,bi,bj)*mskCor(i-1,j,bi,bj) |
601 |
|
#else |
602 |
|
tmpVisc = _maskW(i,j,k,bi,bj) * |
603 |
|
& (.5 _d 0*(GGL90visctmp(i,j,k) |
604 |
|
& +GGL90visctmp(i-1,j,k)) |
605 |
|
& ) |
606 |
|
#endif |
607 |
|
tmpVisc = MIN( tmpVisc , GGL90viscMax ) |
608 |
|
GGL90viscArU(i,j,k,bi,bj) = MAX( tmpVisc, viscArNr(k) ) |
609 |
ENDDO |
ENDDO |
610 |
ENDDO |
ENDDO |
|
C end third k-loop |
|
611 |
ENDDO |
ENDDO |
612 |
|
|
613 |
|
DO k=2,Nr |
614 |
|
DO j=1,sNy+1 |
615 |
|
DO i=1,sNx |
616 |
|
#ifdef ALLOW_GGL90_SMOOTH |
617 |
|
tmpVisc = |
618 |
|
& ( |
619 |
|
& p4 *(GGL90visctmp(i ,j ,k) * mskCor(i ,j ,bi,bj) |
620 |
|
& +GGL90visctmp(i ,j-1,k) * mskCor(i ,j-1,bi,bj)) |
621 |
|
& +p8 *(GGL90visctmp(i-1,j ,k) * mskCor(i-1,j ,bi,bj) |
622 |
|
& +GGL90visctmp(i-1,j-1,k) * mskCor(i-1,j-1,bi,bj) |
623 |
|
& +GGL90visctmp(i+1,j ,k) * mskCor(i+1,j ,bi,bj) |
624 |
|
& +GGL90visctmp(i+1,j-1,k) * mskCor(i+1,j-1,bi,bj)) |
625 |
|
& ) |
626 |
|
& /(p4 * 2. _d 0 |
627 |
|
& +p8 *( maskC(i-1,j ,k,bi,bj) * mskCor(i-1,j ,bi,bj) |
628 |
|
& + maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj) |
629 |
|
& + maskC(i+1,j ,k,bi,bj) * mskCor(i+1,j ,bi,bj) |
630 |
|
& + maskC(i+1,j-1,k,bi,bj) * mskCor(i+1,j-1,bi,bj)) |
631 |
|
& ) |
632 |
|
& *maskC(i,j ,k,bi,bj)*mskCor(i,j ,bi,bj) |
633 |
|
& *maskC(i,j-1,k,bi,bj)*mskCor(i,j-1,bi,bj) |
634 |
|
#else |
635 |
|
tmpVisc = _maskS(i,j,k,bi,bj) * |
636 |
|
& (.5 _d 0*(GGL90visctmp(i,j,k) |
637 |
|
& +GGL90visctmp(i,j-1,k)) |
638 |
|
& ) |
639 |
|
|
640 |
|
#endif |
641 |
|
tmpVisc = MIN( tmpVisc , GGL90viscMax ) |
642 |
|
GGL90viscArV(i,j,k,bi,bj) = MAX( tmpVisc, viscArNr(k) ) |
643 |
|
ENDDO |
644 |
|
ENDDO |
645 |
|
ENDDO |
646 |
|
|
647 |
|
#ifdef ALLOW_DIAGNOSTICS |
648 |
|
IF ( useDiagnostics ) THEN |
649 |
|
CALL DIAGNOSTICS_FILL( GGL90TKE ,'GGL90TKE', |
650 |
|
& 0,Nr, 1, bi, bj, myThid ) |
651 |
|
CALL DIAGNOSTICS_FILL( GGL90viscArU,'GGL90ArU', |
652 |
|
& 0,Nr, 1, bi, bj, myThid ) |
653 |
|
CALL DIAGNOSTICS_FILL( GGL90viscArV,'GGL90ArV', |
654 |
|
& 0,Nr, 1, bi, bj, myThid ) |
655 |
|
CALL DIAGNOSTICS_FILL( GGL90diffKr,'GGL90Kr ', |
656 |
|
& 0,Nr, 1, bi, bj, myThid ) |
657 |
|
CALL DIAGNOSTICS_FILL( TKEPrandtlNumber ,'GGL90Prl', |
658 |
|
& 0,Nr, 2, bi, bj, myThid ) |
659 |
|
CALL DIAGNOSTICS_FILL( GGL90mixingLength,'GGL90Lmx', |
660 |
|
& 0,Nr, 2, bi, bj, myThid ) |
661 |
|
ENDIF |
662 |
|
#endif |
663 |
|
|
664 |
#endif /* ALLOW_GGL90 */ |
#endif /* ALLOW_GGL90 */ |
665 |
|
|
666 |
RETURN |
RETURN |
667 |
END |
END |
|
|
|