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 |
C !DESCRIPTION: \bv |
C !DESCRIPTION: \bv |
14 |
C /==========================================================\ |
C *==========================================================* |
15 |
C | SUBROUTINE GGL90_CALC | |
C | SUBROUTINE GGL90_CALC | |
16 |
C | o Compute all GGL90 fields defined in GGL90.h | |
C | o Compute all GGL90 fields defined in GGL90.h | |
17 |
C |==========================================================| |
C *==========================================================* |
18 |
C | Equation numbers refer to | |
C | Equation numbers refer to | |
19 |
C | Gaspar et al. (1990), JGR 95 (C9), pp 16,179 | |
C | Gaspar et al. (1990), JGR 95 (C9), pp 16,179 | |
20 |
C | Some parts of the implementation follow Blanke and | |
C | Some parts of the implementation follow Blanke and | |
21 |
C | Delecuse (1993), JPO, and OPA code, in particular the | |
C | Delecuse (1993), JPO, and OPA code, in particular the | |
22 |
C | computation of the | |
C | computation of the | |
23 |
C | mixing length = max(min(lk,depth),lkmin) | |
C | mixing length = max(min(lk,depth),lkmin) | |
24 |
C \==========================================================/ |
C *==========================================================* |
|
IMPLICIT NONE |
|
|
C |
|
|
C-------------------------------------------------------------------- |
|
25 |
|
|
26 |
C global parameters updated by ggl90_calc |
C global parameters updated by ggl90_calc |
27 |
C GGL90TKE - sub-grid turbulent kinetic energy (m^2/s^2) |
C GGL90TKE :: sub-grid turbulent kinetic energy (m^2/s^2) |
28 |
C GGL90viscAz - GGL90 eddy viscosity coefficient (m^2/s) |
C GGL90viscAz :: GGL90 eddy viscosity coefficient (m^2/s) |
29 |
C GGL90diffKzT - GGL90 diffusion coefficient for temperature (m^2/s) |
C GGL90diffKzT :: GGL90 diffusion coefficient for temperature (m^2/s) |
|
C |
|
30 |
C \ev |
C \ev |
31 |
|
|
32 |
C !USES: ============================================================ |
C !USES: ============================================================ |
33 |
|
IMPLICIT NONE |
34 |
#include "SIZE.h" |
#include "SIZE.h" |
35 |
#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
36 |
#include "PARAMS.h" |
#include "PARAMS.h" |
40 |
#include "GRID.h" |
#include "GRID.h" |
41 |
|
|
42 |
C !INPUT PARAMETERS: =================================================== |
C !INPUT PARAMETERS: =================================================== |
43 |
c Routine arguments |
C Routine arguments |
44 |
c bi, bj - array indices on which to apply calculations |
C bi, bj :: Current tile indices |
45 |
c myTime - Current time in simulation |
C sigmaR :: Vertical gradient of iso-neutral density |
46 |
|
C myTime :: Current time in simulation |
47 |
|
C myIter :: Current time-step number |
48 |
|
C myThid :: My Thread Id number |
49 |
INTEGER bi, bj |
INTEGER bi, bj |
50 |
INTEGER myThid |
_RL sigmaR(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
51 |
_RL myTime |
_RL myTime |
52 |
|
INTEGER myIter |
53 |
|
INTEGER myThid |
54 |
|
|
55 |
#ifdef ALLOW_GGL90 |
#ifdef ALLOW_GGL90 |
56 |
|
|
57 |
C !LOCAL VARIABLES: ==================================================== |
C !LOCAL VARIABLES: ==================================================== |
58 |
c Local constants |
C Local constants |
59 |
C iMin, iMax, jMin, jMax, I, J - array computation indices |
C iMin,iMax,jMin,jMax :: index boundaries of computation domain |
60 |
C K, Kp1, km1, kSurf, kBottom - vertical loop indices |
C i, j, k, kp1,km1 :: array computation indices |
61 |
C ab15, ab05 - weights for implicit timestepping |
C kSurf, kBottom :: vertical indices of domain boundaries |
62 |
C uStarSquare - square of friction velocity |
C explDissFac :: explicit Dissipation Factor (in [0-1]) |
63 |
C verticalShear - (squared) vertical shear of horizontal velocity |
C implDissFac :: implicit Dissipation Factor (in [0-1]) |
64 |
C Nsquare - squared buoyancy freqency |
C uStarSquare :: square of friction velocity |
65 |
C RiNumber - local Richardson number |
C verticalShear :: (squared) vertical shear of horizontal velocity |
66 |
C KappaM - (local) viscosity parameter (eq.10) |
C Nsquare :: squared buoyancy freqency |
67 |
C KappaH - (local) diffusivity parameter for temperature (eq.11) |
C RiNumber :: local Richardson number |
68 |
C KappaE - (local) diffusivity parameter for TKE (eq.15) |
C KappaM :: (local) viscosity parameter (eq.10) |
69 |
C buoyFreq - buoyancy freqency |
C KappaH :: (local) diffusivity parameter for temperature (eq.11) |
70 |
C TKEdissipation - dissipation of TKE |
C KappaE :: (local) diffusivity parameter for TKE (eq.15) |
71 |
C GGL90mixingLength- mixing length of scheme following Banke+Delecuse |
C TKEdissipation :: dissipation of TKE |
72 |
C rMixingLength- inverse of mixing length |
C GGL90mixingLength:: mixing length of scheme following Banke+Delecuse |
73 |
C totalDepth - thickness of water column (inverse of recip_Rcol) |
C rMixingLength:: inverse of mixing length |
74 |
C TKEPrandtlNumber - here, an empirical function of the Richardson number |
C totalDepth :: thickness of water column (inverse of recip_Rcol) |
75 |
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 |
|
76 |
INTEGER iMin ,iMax ,jMin ,jMax |
INTEGER iMin ,iMax ,jMin ,jMax |
77 |
INTEGER I, J, K, Kp1, Km1, kSurf, kBottom |
INTEGER i, j, k, kp1, km1, kSurf, kBottom |
78 |
_RL ab15, ab05 |
_RL explDissFac, implDissFac |
79 |
_RL uStarSquare |
_RL uStarSquare |
80 |
_RL verticalShear |
_RL verticalShear |
81 |
_RL KappaM, KappaH |
_RL KappaM, KappaH |
82 |
_RL Nsquare |
c _RL Nsquare |
83 |
|
_RL Nsquare(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
84 |
_RL deltaTggl90 |
_RL deltaTggl90 |
85 |
_RL SQRTTKE |
c _RL SQRTTKE |
86 |
|
_RL SQRTTKE(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
87 |
_RL RiNumber |
_RL RiNumber |
88 |
|
#ifdef ALLOW_GGL90_IDEMIX |
89 |
|
_RL IDEMIX_RiNumber |
90 |
|
#endif |
91 |
_RL TKEdissipation |
_RL TKEdissipation |
92 |
_RL tempU, tempV, prTemp |
_RL tempU, tempV, prTemp |
93 |
|
_RL MaxLength, tmpmlx, tmpVisc |
94 |
_RL TKEPrandtlNumber (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL TKEPrandtlNumber (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
95 |
_RL GGL90mixingLength(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL GGL90mixingLength(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
96 |
_RL rMixingLength(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL rMixingLength (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
97 |
|
_RL mxLength_Dn (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
98 |
_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) |
|
99 |
_RL totalDepth (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL totalDepth (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
100 |
_RL gTKE (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL GGL90visctmp (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
101 |
C tri-diagonal matrix |
#ifdef ALLOW_DIAGNOSTICS |
102 |
_RL a(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL surf_flx_tke (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
103 |
_RL b(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
#endif /* ALLOW_DIAGNOSTICS */ |
104 |
_RL c(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
C- tri-diagonal matrix |
105 |
|
_RL a3d(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
106 |
|
_RL b3d(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
107 |
|
_RL c3d(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
108 |
|
INTEGER errCode |
109 |
#ifdef ALLOW_GGL90_HORIZDIFF |
#ifdef ALLOW_GGL90_HORIZDIFF |
110 |
C xA, yA - area of lateral faces |
C hFac :: fractional thickness of W-cell |
111 |
C dfx, dfy - diffusive flux across lateral faces |
C xA, yA :: area of lateral faces |
112 |
|
C dfx, dfy :: diffusive flux across lateral faces |
113 |
|
C gTKE :: right hand side of diffusion equation |
114 |
|
_RL hFac |
115 |
_RL xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
116 |
_RL yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
117 |
_RL dfx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL dfx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
118 |
_RL dfy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL dfy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
119 |
|
_RL gTKE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
120 |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
121 |
|
#ifdef ALLOW_GGL90_SMOOTH |
122 |
|
_RL p4, p8, p16 |
123 |
CEOP |
CEOP |
124 |
|
p4=0.25 _d 0 |
125 |
|
p8=0.125 _d 0 |
126 |
|
p16=0.0625 _d 0 |
127 |
|
#endif |
128 |
iMin = 2-OLx |
iMin = 2-OLx |
129 |
iMax = sNx+OLx-1 |
iMax = sNx+OLx-1 |
130 |
jMin = 2-OLy |
jMin = 2-OLy |
132 |
|
|
133 |
C set separate time step (should be deltaTtracer) |
C set separate time step (should be deltaTtracer) |
134 |
deltaTggl90 = dTtracerLev(1) |
deltaTggl90 = dTtracerLev(1) |
135 |
C |
|
136 |
kSurf = 1 |
kSurf = 1 |
137 |
C implicit timestepping weights for dissipation |
C explicit/implicit timestepping weights for dissipation |
138 |
ab15 = 1.5 _d 0 |
explDissFac = 0. _d 0 |
139 |
ab05 = -0.5 _d 0 |
implDissFac = 1. _d 0 - explDissFac |
|
ab15 = 1. _d 0 |
|
|
ab05 = 0. _d 0 |
|
140 |
|
|
141 |
C Initialize local fields |
C Initialize local fields |
142 |
DO K = 1, Nr |
DO k = 1, Nr |
143 |
DO J=1-Oly,sNy+Oly |
DO j=1-OLy,sNy+OLy |
144 |
DO I=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
145 |
gTKE(I,J,K) = 0. _d 0 |
rMixingLength(i,j,k) = 0. _d 0 |
146 |
KappaE(I,J,K) = 0. _d 0 |
mxLength_Dn(i,j,k) = 0. _d 0 |
147 |
TKEPrandtlNumber(I,J,K) = 0. _d 0 |
GGL90visctmp(i,j,k) = 0. _d 0 |
148 |
GGL90mixingLength(I,J,K) = GGL90mixingLengthMin |
KappaE(i,j,k) = 0. _d 0 |
149 |
rMixingLength(I,J,K) = 0. _d 0 |
TKEPrandtlNumber(i,j,k) = 1. _d 0 |
150 |
|
GGL90mixingLength(i,j,k) = GGL90mixingLengthMin |
151 |
|
GGL90visctmp(i,j,k) = 0. _d 0 |
152 |
|
#ifndef SOLVE_DIAGONAL_LOWMEMORY |
153 |
|
a3d(i,j,k) = 0. _d 0 |
154 |
|
b3d(i,j,k) = 1. _d 0 |
155 |
|
c3d(i,j,k) = 0. _d 0 |
156 |
|
#endif |
157 |
|
Nsquare(i,j,k) = 0. _d 0 |
158 |
|
SQRTTKE(i,j,k) = 0. _d 0 |
159 |
ENDDO |
ENDDO |
160 |
ENDDO |
ENDDO |
161 |
ENDDO |
ENDDO |
162 |
DO J=1-Oly,sNy+Oly |
DO j=1-OLy,sNy+OLy |
163 |
DO I=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
164 |
rhoK (I,J) = 0. _d 0 |
totalDepth(i,j) = Ro_surf(i,j,bi,bj) - R_low(i,j,bi,bj) |
165 |
rhoKm1 (I,J) = 0. _d 0 |
rMixingLength(i,j,1) = 0. _d 0 |
166 |
totalDepth(I,J) = 0. _d 0 |
mxLength_Dn(i,j,1) = GGL90mixingLengthMin |
167 |
IF ( recip_Rcol(I,J,bi,bj) .NE. 0. ) |
SQRTTKE(i,j,1) = SQRT( GGL90TKE(i,j,1,bi,bj) ) |
168 |
& totalDepth(I,J) = 1./recip_Rcol(I,J,bi,bj) |
#ifdef ALLOW_GGL90_HORIZDIFF |
169 |
|
xA(i,j) = 0. _d 0 |
170 |
|
yA(i,j) = 0. _d 0 |
171 |
|
dfx(i,j) = 0. _d 0 |
172 |
|
dfy(i,j) = 0. _d 0 |
173 |
|
gTKE(i,j) = 0. _d 0 |
174 |
|
#endif /* ALLOW_GGL90_HORIZDIFF */ |
175 |
ENDDO |
ENDDO |
176 |
ENDDO |
ENDDO |
177 |
|
|
178 |
|
#ifdef ALLOW_GGL90_IDEMIX |
179 |
|
IF ( useIDEMIX) CALL GGL90_IDEMIX( |
180 |
|
& bi, bj, sigmaR, myTime, myIter, myThid ) |
181 |
|
#endif /* ALLOW_GGL90_IDEMIX */ |
182 |
|
|
183 |
C start k-loop |
C start k-loop |
184 |
DO K = 2, Nr |
DO k = 2, Nr |
185 |
Km1 = K-1 |
c km1 = k-1 |
186 |
Kp1 = MIN(Nr,K+1) |
c kp1 = MIN(Nr,k+1) |
187 |
CALL FIND_RHO_2D( |
DO j=jMin,jMax |
188 |
I iMin, iMax, jMin, jMax, K, |
DO i=iMin,iMax |
189 |
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) ) |
190 |
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 |
|
191 |
C buoyancy frequency |
C buoyancy frequency |
192 |
C |
Nsquare(i,j,k) = gravity*gravitySign*recip_rhoConst |
193 |
Nsquare = - gravity*recip_rhoConst*recip_drC(K) |
& * sigmaR(i,j,k) |
194 |
& * ( rhoKm1(I,J) - rhoK(I,J) )*maskC(I,J,K,bi,bj) |
cC vertical shear term (dU/dz)^2+(dV/dz)^2 |
195 |
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) |
196 |
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)) ) |
197 |
& - (uVel(I,J,K ,bi,bj)+uVel(I+1,J,K ,bi,bj)) ) |
c & *recip_drC(k) |
198 |
& *recip_drC(K) |
c tempV= .5 _d 0*( vVel(i,j,km1,bi,bj)+vVel(i,j+1,km1,bi,bj) |
199 |
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)) ) |
200 |
& - (vVel(I,J,K ,bi,bj)+vVel(I,J+1,K ,bi,bj)) ) |
c & *recip_drC(k) |
201 |
& *recip_drC(K) |
c verticalShear = tempU*tempU + tempV*tempV |
202 |
verticalShear = tempU*tempU + tempV*tempV |
c RiNumber = MAX(Nsquare(i,j,k),0. _d 0)/(verticalShear+GGL90eps) |
203 |
RiNumber = MAX(Nsquare,0. _d 0)/(verticalShear+GGL90eps) |
cC compute Prandtl number (always greater than 0) |
204 |
C compute Prandtl number (always greater than 0) |
c prTemp = 1. _d 0 |
205 |
prTemp = 1. _d 0 |
c IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
206 |
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) |
|
207 |
C mixing length |
C mixing length |
208 |
GGL90mixingLength(I,J,K) = SQRTTWO * |
GGL90mixingLength(i,j,k) = SQRTTWO * |
209 |
& 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 |
|
|
& ) |
|
210 |
ENDDO |
ENDDO |
211 |
ENDDO |
ENDDO |
212 |
ENDDO |
ENDDO |
213 |
C horizontal diffusion of TKE (requires an exchange in |
|
214 |
C do_fields_blocking_exchanges) |
C- ensure mixing between first and second level |
215 |
|
IF (mxlSurfFlag) THEN |
216 |
|
DO j=jMin,jMax |
217 |
|
DO i=iMin,iMax |
218 |
|
GGL90mixingLength(i,j,2)=drF(1) |
219 |
|
ENDDO |
220 |
|
ENDDO |
221 |
|
ENDIF |
222 |
|
|
223 |
|
C- Impose upper and lower bound for mixing length |
224 |
|
IF ( mxlMaxFlag .EQ. 0 ) THEN |
225 |
|
|
226 |
|
DO k=2,Nr |
227 |
|
DO j=jMin,jMax |
228 |
|
DO i=iMin,iMax |
229 |
|
MaxLength=totalDepth(i,j) |
230 |
|
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
231 |
|
& MaxLength) |
232 |
|
ENDDO |
233 |
|
ENDDO |
234 |
|
ENDDO |
235 |
|
|
236 |
|
DO k=2,Nr |
237 |
|
DO j=jMin,jMax |
238 |
|
DO i=iMin,iMax |
239 |
|
GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
240 |
|
& GGL90mixingLengthMin) |
241 |
|
rMixingLength(i,j,k) = 1. _d 0 / GGL90mixingLength(i,j,k) |
242 |
|
ENDDO |
243 |
|
ENDDO |
244 |
|
ENDDO |
245 |
|
|
246 |
|
ELSEIF ( mxlMaxFlag .EQ. 1 ) THEN |
247 |
|
|
248 |
|
DO k=2,Nr |
249 |
|
DO j=jMin,jMax |
250 |
|
DO i=iMin,iMax |
251 |
|
MaxLength=MIN(Ro_surf(i,j,bi,bj)-rF(k),rF(k)-R_low(i,j,bi,bj)) |
252 |
|
c MaxLength=MAX(MaxLength,20. _d 0) |
253 |
|
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
254 |
|
& MaxLength) |
255 |
|
ENDDO |
256 |
|
ENDDO |
257 |
|
ENDDO |
258 |
|
|
259 |
|
DO k=2,Nr |
260 |
|
DO j=jMin,jMax |
261 |
|
DO i=iMin,iMax |
262 |
|
GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
263 |
|
& GGL90mixingLengthMin) |
264 |
|
rMixingLength(i,j,k) = 1. _d 0 / GGL90mixingLength(i,j,k) |
265 |
|
ENDDO |
266 |
|
ENDDO |
267 |
|
ENDDO |
268 |
|
|
269 |
|
ELSEIF ( mxlMaxFlag .EQ. 2 ) THEN |
270 |
|
|
271 |
|
DO k=2,Nr |
272 |
|
DO j=jMin,jMax |
273 |
|
DO i=iMin,iMax |
274 |
|
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
275 |
|
& GGL90mixingLength(i,j,k-1)+drF(k-1)) |
276 |
|
ENDDO |
277 |
|
ENDDO |
278 |
|
ENDDO |
279 |
|
DO j=jMin,jMax |
280 |
|
DO i=iMin,iMax |
281 |
|
GGL90mixingLength(i,j,Nr) = MIN(GGL90mixingLength(i,j,Nr), |
282 |
|
& GGL90mixingLengthMin+drF(Nr)) |
283 |
|
ENDDO |
284 |
|
ENDDO |
285 |
|
DO k=Nr-1,2,-1 |
286 |
|
DO j=jMin,jMax |
287 |
|
DO i=iMin,iMax |
288 |
|
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
289 |
|
& GGL90mixingLength(i,j,k+1)+drF(k)) |
290 |
|
ENDDO |
291 |
|
ENDDO |
292 |
|
ENDDO |
293 |
|
|
294 |
|
DO k=2,Nr |
295 |
|
DO j=jMin,jMax |
296 |
|
DO i=iMin,iMax |
297 |
|
GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
298 |
|
& GGL90mixingLengthMin) |
299 |
|
rMixingLength(i,j,k) = 1. _d 0 / GGL90mixingLength(i,j,k) |
300 |
|
ENDDO |
301 |
|
ENDDO |
302 |
|
ENDDO |
303 |
|
|
304 |
|
ELSEIF ( mxlMaxFlag .EQ. 3 ) THEN |
305 |
|
|
306 |
|
DO k=2,Nr |
307 |
|
DO j=jMin,jMax |
308 |
|
DO i=iMin,iMax |
309 |
|
mxLength_Dn(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
310 |
|
& mxLength_Dn(i,j,k-1)+drF(k-1)) |
311 |
|
ENDDO |
312 |
|
ENDDO |
313 |
|
ENDDO |
314 |
|
DO j=jMin,jMax |
315 |
|
DO i=iMin,iMax |
316 |
|
GGL90mixingLength(i,j,Nr) = MIN(GGL90mixingLength(i,j,Nr), |
317 |
|
& GGL90mixingLengthMin+drF(Nr)) |
318 |
|
ENDDO |
319 |
|
ENDDO |
320 |
|
DO k=Nr-1,2,-1 |
321 |
|
DO j=jMin,jMax |
322 |
|
DO i=iMin,iMax |
323 |
|
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
324 |
|
& GGL90mixingLength(i,j,k+1)+drF(k)) |
325 |
|
ENDDO |
326 |
|
ENDDO |
327 |
|
ENDDO |
328 |
|
|
329 |
|
DO k=2,Nr |
330 |
|
DO j=jMin,jMax |
331 |
|
DO i=iMin,iMax |
332 |
|
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
333 |
|
& mxLength_Dn(i,j,k)) |
334 |
|
tmpmlx = SQRT( GGL90mixingLength(i,j,k)*mxLength_Dn(i,j,k) ) |
335 |
|
tmpmlx = MAX( tmpmlx, GGL90mixingLengthMin) |
336 |
|
rMixingLength(i,j,k) = 1. _d 0 / tmpmlx |
337 |
|
ENDDO |
338 |
|
ENDDO |
339 |
|
ENDDO |
340 |
|
|
341 |
|
ELSE |
342 |
|
STOP 'GGL90_CALC: Wrong mxlMaxFlag (mixing length limit)' |
343 |
|
ENDIF |
344 |
|
|
345 |
|
C- Impose minimum mixing length (to avoid division by zero) |
346 |
|
c DO k=2,Nr |
347 |
|
c DO j=jMin,jMax |
348 |
|
c DO i=iMin,iMax |
349 |
|
c GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
350 |
|
c & GGL90mixingLengthMin) |
351 |
|
c rMixingLength(i,j,k) = 1. _d 0 /GGL90mixingLength(i,j,k) |
352 |
|
c ENDDO |
353 |
|
c ENDDO |
354 |
|
c ENDDO |
355 |
|
|
356 |
|
DO k=2,Nr |
357 |
|
km1 = k-1 |
358 |
|
|
359 |
#ifdef ALLOW_GGL90_HORIZDIFF |
#ifdef ALLOW_GGL90_HORIZDIFF |
360 |
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
361 |
DO K=2,Nr |
C horizontal diffusion of TKE (requires an exchange in |
362 |
|
C do_fields_blocking_exchanges) |
363 |
C common factors |
C common factors |
364 |
DO j=1-Oly,sNy+Oly |
DO j=1-OLy,sNy+OLy |
365 |
DO i=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
366 |
xA(i,j) = _dyG(i,j,bi,bj) |
xA(i,j) = _dyG(i,j,bi,bj)*drC(k)* |
367 |
& *drF(k)*_hFacW(i,j,k,bi,bj) |
& (min(.5 _d 0,_hFacW(i,j,k-1,bi,bj) ) + |
368 |
yA(i,j) = _dxG(i,j,bi,bj) |
& min(.5 _d 0,_hFacW(i,j,k ,bi,bj) ) ) |
369 |
& *drF(k)*_hFacS(i,j,k,bi,bj) |
yA(i,j) = _dxG(i,j,bi,bj)*drC(k)* |
370 |
|
& (min(.5 _d 0,_hFacS(i,j,k-1,bi,bj) ) + |
371 |
|
& min(.5 _d 0,_hFacS(i,j,k ,bi,bj) ) ) |
372 |
ENDDO |
ENDDO |
373 |
ENDDO |
ENDDO |
374 |
C Compute diffusive fluxes |
C Compute diffusive fluxes |
375 |
C ... across x-faces |
C ... across x-faces |
376 |
DO j=1-Oly,sNy+Oly |
DO j=1-OLy,sNy+OLy |
377 |
dfx(1-Olx,j)=0. |
dfx(1-OLx,j)=0. _d 0 |
378 |
DO i=1-Olx+1,sNx+Olx |
DO i=1-OLx+1,sNx+OLx |
379 |
dfx(i,j) = -GGL90diffTKEh*xA(i,j) |
dfx(i,j) = -GGL90diffTKEh*xA(i,j) |
380 |
& *_recip_dxC(i,j,bi,bj) |
& *_recip_dxC(i,j,bi,bj) |
381 |
& *(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)) |
382 |
|
#ifdef ISOTROPIC_COS_SCALING |
383 |
& *CosFacU(j,bi,bj) |
& *CosFacU(j,bi,bj) |
384 |
|
#endif /* ISOTROPIC_COS_SCALING */ |
385 |
ENDDO |
ENDDO |
386 |
ENDDO |
ENDDO |
387 |
C ... across y-faces |
C ... across y-faces |
388 |
DO i=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
389 |
dfy(i,1-Oly)=0. |
dfy(i,1-OLy)=0. _d 0 |
390 |
ENDDO |
ENDDO |
391 |
DO j=1-Oly+1,sNy+Oly |
DO j=1-OLy+1,sNy+OLy |
392 |
DO i=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
393 |
dfy(i,j) = -GGL90diffTKEh*yA(i,j) |
dfy(i,j) = -GGL90diffTKEh*yA(i,j) |
394 |
& *_recip_dyC(i,j,bi,bj) |
& *_recip_dyC(i,j,bi,bj) |
395 |
& *(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)) |
399 |
ENDDO |
ENDDO |
400 |
ENDDO |
ENDDO |
401 |
C Compute divergence of fluxes |
C Compute divergence of fluxes |
402 |
DO j=1-Oly,sNy+Oly-1 |
DO j=1-OLy,sNy+OLy-1 |
403 |
DO i=1-Olx,sNx+Olx-1 |
DO i=1-OLx,sNx+OLx-1 |
404 |
gTKE(i,j,k)=gTKE(i,j,k) |
#ifdef ALLOW_GGL90_IDEMIX |
405 |
& -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k)*recip_rA(i,j,bi,bj) |
gTKE(i,j) = -recip_drC(k)*recip_rA(i,j,bi,bj) |
406 |
& *( (dfx(i+1,j)-dfx(i,j)) |
& *recip_hFacI(i,j,k,bi,bj) |
407 |
& +(dfy(i,j+1)-dfy(i,j)) |
#else |
408 |
& ) |
hFac = MIN(.5 _d 0,_hFacC(i,j,k-1,bi,bj) ) + |
409 |
|
& MIN(.5 _d 0,_hFacC(i,j,k ,bi,bj) ) |
410 |
|
gTKE(i,j) = 0.0 |
411 |
|
IF ( hFac .ne. 0.0 ) |
412 |
|
& gTKE(i,j) = -recip_drC(k)*recip_rA(i,j,bi,bj)/hFac |
413 |
|
#endif |
414 |
|
& *((dfx(i+1,j)-dfx(i,j)) |
415 |
|
& +(dfy(i,j+1)-dfy(i,j)) ) |
416 |
ENDDO |
ENDDO |
417 |
ENDDO |
ENDDO |
418 |
C end of k-loop |
C end if GGL90diffTKEh .eq. 0. |
419 |
|
ENDIF |
420 |
|
#endif /* ALLOW_GGL90_HORIZDIFF */ |
421 |
|
|
422 |
|
DO j=jMin,jMax |
423 |
|
DO i=iMin,iMax |
424 |
|
C vertical shear term (dU/dz)^2+(dV/dz)^2 |
425 |
|
tempU= .5 _d 0*( uVel(i,j,km1,bi,bj)+uVel(i+1,j,km1,bi,bj) |
426 |
|
& -( uVel(i,j,k ,bi,bj)+uVel(i+1,j,k ,bi,bj)) ) |
427 |
|
& *recip_drC(k) |
428 |
|
#ifdef ALLOW_GGL90_IDEMIX |
429 |
|
& *recip_hFacI(i,j,k,bi,bj) |
430 |
|
#endif |
431 |
|
tempV= .5 _d 0*( vVel(i,j,km1,bi,bj)+vVel(i,j+1,km1,bi,bj) |
432 |
|
& -( vVel(i,j,k ,bi,bj)+vVel(i,j+1,k ,bi,bj)) ) |
433 |
|
& *recip_drC(k) |
434 |
|
#ifdef ALLOW_GGL90_IDEMIX |
435 |
|
& *recip_hFacI(i,j,k,bi,bj) |
436 |
|
#endif |
437 |
|
verticalShear = tempU*tempU + tempV*tempV |
438 |
|
|
439 |
|
C viscosity and diffusivity |
440 |
|
KappaM = GGL90ck*GGL90mixingLength(i,j,k)*SQRTTKE(i,j,k) |
441 |
|
GGL90visctmp(i,j,k) = MAX(KappaM,diffKrNrT(k)) |
442 |
|
& * maskC(i,j,k,bi,bj) |
443 |
|
C note: storing GGL90visctmp like this, and using it later to compute |
444 |
|
C GGL9rdiffKr etc. is robust in case of smoothing (e.g. see OPA) |
445 |
|
KappaM = MAX(KappaM,viscArNr(k)) * maskC(i,j,k,bi,bj) |
446 |
|
|
447 |
|
C compute Prandtl number (always greater than 0) |
448 |
|
RiNumber = MAX(Nsquare(i,j,k),0. _d 0)/(verticalShear+GGL90eps) |
449 |
|
#ifdef ALLOW_GGL90_IDEMIX |
450 |
|
CML IDEMIX_RiNumber = 1./GGL90eps |
451 |
|
IDEMIX_RiNumber = MAX( KappaM*Nsquare(i,j,k), 0. _d 0)/ |
452 |
|
& (GGL90eps+IDEMIX_tau_d(i,j,k,bi,bj)*IDEMIX_E(i,j,k,bi,bj)**2) |
453 |
|
prTemp = MIN(5.*RiNumber, 6.6 _d 0*IDEMIX_RiNumber) |
454 |
|
#else |
455 |
|
prTemp = 1. _d 0 |
456 |
|
IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
457 |
|
#endif /* ALLOW_GGL90_IDEMIX */ |
458 |
|
TKEPrandtlNumber(i,j,k) = MIN(10. _d 0,prTemp) |
459 |
|
TKEPrandtlNumber(i,j,k) = MAX( 1. _d 0,TKEPrandtlNumber(i,j,k)) |
460 |
|
|
461 |
|
C diffusivity |
462 |
|
KappaH = KappaM/TKEPrandtlNumber(i,j,k) |
463 |
|
KappaE(i,j,k) = GGL90alpha * KappaM * maskC(i,j,k,bi,bj) |
464 |
|
|
465 |
|
C dissipation term |
466 |
|
TKEdissipation = explDissFac*GGL90ceps |
467 |
|
& *SQRTTKE(i,j,k)*rMixingLength(i,j,k) |
468 |
|
& *GGL90TKE(i,j,k,bi,bj) |
469 |
|
C partial update with sum of explicit contributions |
470 |
|
GGL90TKE(i,j,k,bi,bj) = GGL90TKE(i,j,k,bi,bj) |
471 |
|
& + deltaTggl90*( |
472 |
|
& + KappaM*verticalShear |
473 |
|
& - KappaH*Nsquare(i,j,k) |
474 |
|
& - TKEdissipation |
475 |
|
#ifdef ALLOW_GGL90_IDEMIX |
476 |
|
& + IDEMIX_tau_d(i,j,k,bi,bj)*IDEMIX_E(i,j,k,bi,bj)**2 |
477 |
|
#endif |
478 |
|
& ) |
479 |
|
ENDDO |
480 |
ENDDO |
ENDDO |
481 |
C end if GGL90diffTKEh .eq. 0. |
|
482 |
ENDIF |
#ifdef ALLOW_GGL90_HORIZDIFF |
483 |
|
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
484 |
|
C-- Add horiz. diffusion tendency |
485 |
|
DO j=jMin,jMax |
486 |
|
DO i=iMin,iMax |
487 |
|
GGL90TKE(i,j,k,bi,bj) = GGL90TKE(i,j,k,bi,bj) |
488 |
|
& + gTKE(i,j)*deltaTggl90 |
489 |
|
ENDDO |
490 |
|
ENDDO |
491 |
|
ENDIF |
492 |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
493 |
|
|
494 |
|
C-- end of k loop |
495 |
|
ENDDO |
496 |
|
|
497 |
C ============================================ |
C ============================================ |
498 |
C Implicit time step to update TKE for k=1,Nr; |
C Implicit time step to update TKE for k=1,Nr; |
499 |
C TKE(Nr+1)=0 by default |
C TKE(Nr+1)=0 by default |
502 |
C-- Lower diagonal |
C-- Lower diagonal |
503 |
DO j=jMin,jMax |
DO j=jMin,jMax |
504 |
DO i=iMin,iMax |
DO i=iMin,iMax |
505 |
a(i,j,1) = 0. _d 0 |
a3d(i,j,1) = 0. _d 0 |
506 |
ENDDO |
ENDDO |
507 |
ENDDO |
ENDDO |
508 |
DO k=2,Nr |
DO k=2,Nr |
509 |
km1=MAX(1,k-1) |
km1=MAX(2,k-1) |
510 |
DO j=jMin,jMax |
DO j=jMin,jMax |
511 |
DO i=iMin,iMax |
DO i=iMin,iMax |
512 |
a(i,j,k) = -deltaTggl90 |
C- We keep recip_hFacC in the diffusive flux calculation, |
513 |
& *recip_drF(km1)*recip_hFacI(i,j,k,bi,bj) |
C- but no hFacC in TKE volume control |
514 |
& *.5*(KappaE(i,j, k )+KappaE(i,j,km1)) |
C- No need for maskC(k-1) with recip_hFacC(k-1) |
515 |
& *recip_drC(k) |
a3d(i,j,k) = -deltaTggl90 |
516 |
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) |
517 |
|
& *.5 _d 0*(KappaE(i,j, k )+KappaE(i,j,km1)) |
518 |
|
& *recip_drC(k)*maskC(i,j,k,bi,bj) |
519 |
|
#ifdef ALLOW_GGL90_IDEMIX |
520 |
|
& *recip_hFacI(i,j,k,bi,bj) |
521 |
|
#endif |
522 |
ENDDO |
ENDDO |
523 |
ENDDO |
ENDDO |
524 |
ENDDO |
ENDDO |
525 |
C-- Upper diagonal |
C-- Upper diagonal |
526 |
DO j=jMin,jMax |
DO j=jMin,jMax |
527 |
DO i=iMin,iMax |
DO i=iMin,iMax |
528 |
c(i,j,1) = 0. _d 0 |
c3d(i,j,1) = 0. _d 0 |
|
c(i,j,Nr) = 0. _d 0 |
|
529 |
ENDDO |
ENDDO |
530 |
ENDDO |
ENDDO |
531 |
CML DO k=1,Nr-1 |
DO k=2,Nr |
|
DO k=2,Nr-1 |
|
|
kp1=min(Nr,k+1) |
|
532 |
DO j=jMin,jMax |
DO j=jMin,jMax |
533 |
DO i=iMin,iMax |
DO i=iMin,iMax |
534 |
c(i,j,k) = -deltaTggl90 |
kp1=MAX(1,MIN(klowC(i,j,bi,bj),k+1)) |
535 |
& *recip_drF( k )*recip_hFacI(i,j,k,bi,bj) |
C- We keep recip_hFacC in the diffusive flux calculation, |
536 |
& *.5*(KappaE(i,j,k)+KappaE(i,j,kp1)) |
C- but no hFacC in TKE volume control |
537 |
& *recip_drC(k) |
C- No need for maskC(k) with recip_hFacC(k) |
538 |
IF (recip_hFacI(i,j,kp1,bi,bj).EQ.0.) c(i,j,k)=0. |
c3d(i,j,k) = -deltaTggl90 |
539 |
|
& *recip_drF( k ) * recip_hFacC(i,j,k,bi,bj) |
540 |
|
& *.5 _d 0*(KappaE(i,j,k)+KappaE(i,j,kp1)) |
541 |
|
& *recip_drC(k)*maskC(i,j,k-1,bi,bj) |
542 |
|
#ifdef ALLOW_GGL90_IDEMIX |
543 |
|
& *recip_hFacI(i,j,k,bi,bj) |
544 |
|
#endif |
545 |
ENDDO |
ENDDO |
546 |
ENDDO |
ENDDO |
547 |
ENDDO |
ENDDO |
548 |
|
|
549 |
|
IF (.NOT.GGL90_dirichlet) THEN |
550 |
|
C Neumann bottom boundary condition for TKE: no flux from bottom |
551 |
|
DO j=jMin,jMax |
552 |
|
DO i=iMin,iMax |
553 |
|
kBottom = MAX(kLowC(i,j,bi,bj),1) |
554 |
|
c3d(i,j,kBottom) = 0. _d 0 |
555 |
|
ENDDO |
556 |
|
ENDDO |
557 |
|
ENDIF |
558 |
|
|
559 |
C-- Center diagonal |
C-- Center diagonal |
560 |
DO k=1,Nr |
DO k=1,Nr |
561 |
|
km1 = MAX(k-1,1) |
562 |
DO j=jMin,jMax |
DO j=jMin,jMax |
563 |
DO i=iMin,iMax |
DO i=iMin,iMax |
564 |
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) |
565 |
& + ab15*deltaTggl90*GGL90ceps*SQRT(GGL90TKE(I,J,K,bi,bj)) |
& + implDissFac*deltaTggl90*GGL90ceps*SQRTTKE(i,j,k) |
566 |
& *rMixingLength(I,J,K) |
& * rMixingLength(i,j,k) |
567 |
|
& * maskC(i,j,k,bi,bj)*maskC(i,j,km1,bi,bj) |
568 |
ENDDO |
ENDDO |
569 |
ENDDO |
ENDDO |
570 |
ENDDO |
ENDDO |
571 |
C end set up matrix |
C end set up matrix |
572 |
|
|
|
C |
|
573 |
C Apply boundary condition |
C Apply boundary condition |
574 |
C |
kp1 = MIN(Nr,kSurf+1) |
575 |
DO J=jMin,jMax |
DO j=jMin,jMax |
576 |
DO I=iMin,iMax |
DO i=iMin,iMax |
577 |
C estimate friction velocity uStar from surface forcing |
C estimate friction velocity uStar from surface forcing |
578 |
uStarSquare = SQRT( |
uStarSquare = SQRT( |
579 |
& ( .5*( surfaceForcingU(I, J, bi,bj) |
& ( .5 _d 0*( surfaceForcingU(i, j, bi,bj) |
580 |
& + surfaceForcingU(I+1,J, bi,bj) ) )**2 |
& + surfaceForcingU(i+1,j, bi,bj) ) )**2 |
581 |
& + ( .5*( surfaceForcingV(I, J, bi,bj) |
& + ( .5 _d 0*( surfaceForcingV(i, j, bi,bj) |
582 |
& + surfaceForcingV(I, J+1,bi,bj) ) )**2 |
& + surfaceForcingV(i, j+1,bi,bj) ) )**2 |
583 |
& ) |
& ) |
584 |
C Dirichlet surface boundary condition for TKE |
C Dirichlet surface boundary condition for TKE |
585 |
gTKE(I,J,kSurf) = MAX(GGL90TKEsurfMin,GGL90m2*uStarSquare) |
GGL90TKE(i,j,kSurf,bi,bj) = maskC(i,j,kSurf,bi,bj) |
586 |
& *maskC(I,J,kSurf,bi,bj) |
& *MAX(GGL90TKEsurfMin,GGL90m2*uStarSquare) |
587 |
C Dirichlet bottom boundary condition for TKE = GGL90TKEbottom |
GGL90TKE(i,j,kp1,bi,bj) = GGL90TKE(i,j,kp1,bi,bj) |
588 |
kBottom = MIN(MAX(kLowC(I,J,bi,bj),1),Nr) |
& - a3d(i,j,kp1)*GGL90TKE(i,j,kSurf,bi,bj) |
589 |
gTKE(I,J,kBottom) = gTKE(I,J,kBottom) |
a3d(i,j,kp1) = 0. _d 0 |
590 |
& - GGL90TKEbottom*c(I,J,kBottom) |
ENDDO |
591 |
ENDDO |
ENDDO |
592 |
ENDDO |
|
593 |
C |
IF (GGL90_dirichlet) THEN |
594 |
C solve tri-diagonal system, and store solution on gTKE (previously rhs) |
C Dirichlet bottom boundary condition for TKE = GGL90TKEbottom |
595 |
C |
DO j=jMin,jMax |
596 |
CALL GGL90_SOLVE( bi, bj, iMin, iMax, jMin, jMax, |
DO i=iMin,iMax |
597 |
I a, b, c, |
kBottom = MAX(kLowC(i,j,bi,bj),1) |
598 |
U gTKE, |
GGL90TKE(i,j,kBottom,bi,bj) = GGL90TKE(i,j,kBottom,bi,bj) |
599 |
I myThid ) |
& - GGL90TKEbottom*c3d(i,j,kBottom) |
600 |
C |
c3d(i,j,kBottom) = 0. _d 0 |
601 |
C now update TKE |
ENDDO |
602 |
C |
ENDDO |
603 |
DO K=1,Nr |
ENDIF |
604 |
DO J=jMin,jMax |
|
605 |
DO I=iMin,iMax |
C solve tri-diagonal system |
606 |
|
CALL SOLVE_TRIDIAGONAL( iMin,iMax, jMin,jMax, |
607 |
|
I a3d, b3d, c3d, |
608 |
|
U GGL90TKE(1-OLx,1-OLy,1,bi,bj), |
609 |
|
O errCode, |
610 |
|
I bi, bj, myThid ) |
611 |
|
|
612 |
|
DO k=1,Nr |
613 |
|
DO j=jMin,jMax |
614 |
|
DO i=iMin,iMax |
615 |
C impose minimum TKE to avoid numerical undershoots below zero |
C impose minimum TKE to avoid numerical undershoots below zero |
616 |
GGL90TKE(I,J,K,bi,bj) = MAX( gTKE(I,J,K), GGL90TKEmin ) |
GGL90TKE(i,j,k,bi,bj) = maskC(i,j,k,bi,bj) |
617 |
& * maskC(I,J,K,bi,bj) |
& *MAX( GGL90TKE(i,j,k,bi,bj), GGL90TKEmin ) |
618 |
ENDDO |
ENDDO |
619 |
ENDDO |
ENDDO |
620 |
ENDDO |
ENDDO |
621 |
C |
|
622 |
C end of time step |
C end of time step |
623 |
C =============================== |
C =============================== |
624 |
C compute viscosity coefficients |
|
625 |
C |
DO k=2,Nr |
626 |
DO K=2,Nr |
DO j=1,sNy |
627 |
DO J=jMin,jMax |
DO i=1,sNx |
628 |
DO I=iMin,iMax |
#ifdef ALLOW_GGL90_SMOOTH |
629 |
C Eq. (11), (18) and (21) |
tmpVisc= |
630 |
KappaM = GGL90ck*GGL90mixingLength(I,J,K)* |
& ( |
631 |
& SQRT( GGL90TKE(I,J,K,bi,bj) ) |
& p4 * GGL90visctmp(i ,j ,k) * mskCor(i ,j ,bi,bj) |
632 |
KappaH = KappaM/TKEPrandtlNumber(I,J,K) |
& +p8 *( GGL90visctmp(i-1,j ,k) * mskCor(i-1,j ,bi,bj) |
633 |
C Set a minium (= background) value |
& + GGL90visctmp(i ,j-1,k) * mskCor(i ,j-1,bi,bj) |
634 |
KappaM = MAX(KappaM,viscAr) |
& + GGL90visctmp(i+1,j ,k) * mskCor(i+1,j ,bi,bj) |
635 |
KappaH = MAX(KappaH,diffKrNrT(k)) |
& + GGL90visctmp(i ,j+1,k) * mskCor(i ,j+1,bi,bj)) |
636 |
C Set a maximum and mask land point |
& +p16*( GGL90visctmp(i+1,j+1,k) * mskCor(i+1,j+1,bi,bj) |
637 |
GGL90viscAr(I,J,K,bi,bj) = MIN(KappaM,GGL90viscMax) |
& + GGL90visctmp(i+1,j-1,k) * mskCor(i+1,j-1,bi,bj) |
638 |
& * maskC(I,J,K,bi,bj) |
& + GGL90visctmp(i-1,j+1,k) * mskCor(i-1,j+1,bi,bj) |
639 |
GGL90diffKr(I,J,K,bi,bj) = MIN(KappaH,GGL90diffMax) |
& + GGL90visctmp(i-1,j-1,k) * mskCor(i-1,j-1,bi,bj)) |
640 |
& * maskC(I,J,K,bi,bj) |
& ) |
641 |
|
& /(p4 |
642 |
|
& +p8 *( maskC(i-1,j ,k,bi,bj) * mskCor(i-1,j ,bi,bj) |
643 |
|
& + maskC(i ,j-1,k,bi,bj) * mskCor(i ,j-1,bi,bj) |
644 |
|
& + maskC(i+1,j ,k,bi,bj) * mskCor(i+1,j ,bi,bj) |
645 |
|
& + maskC(i ,j+1,k,bi,bj) * mskCor(i ,j+1,bi,bj)) |
646 |
|
& +p16*( maskC(i+1,j+1,k,bi,bj) * mskCor(i+1,j+1,bi,bj) |
647 |
|
& + maskC(i+1,j-1,k,bi,bj) * mskCor(i+1,j-1,bi,bj) |
648 |
|
& + maskC(i-1,j+1,k,bi,bj) * mskCor(i-1,j+1,bi,bj) |
649 |
|
& + maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj)) |
650 |
|
& )*maskC(i,j,k,bi,bj)*mskCor(i,j,bi,bj) |
651 |
|
#else |
652 |
|
tmpVisc = GGL90visctmp(i,j,k) |
653 |
|
#endif |
654 |
|
tmpVisc = MIN(tmpVisc/TKEPrandtlNumber(i,j,k),GGL90diffMax) |
655 |
|
GGL90diffKr(i,j,k,bi,bj)= MAX( tmpVisc , diffKrNrT(k) ) |
656 |
|
ENDDO |
657 |
|
ENDDO |
658 |
|
ENDDO |
659 |
|
|
660 |
|
DO k=2,Nr |
661 |
|
DO j=1,sNy |
662 |
|
DO i=1,sNx+1 |
663 |
|
#ifdef ALLOW_GGL90_SMOOTH |
664 |
|
tmpVisc = |
665 |
|
& ( |
666 |
|
& p4 *(GGL90visctmp(i ,j ,k) * mskCor(i ,j ,bi,bj) |
667 |
|
& +GGL90visctmp(i-1,j ,k) * mskCor(i-1,j ,bi,bj)) |
668 |
|
& +p8 *(GGL90visctmp(i-1,j-1,k) * mskCor(i-1,j-1,bi,bj) |
669 |
|
& +GGL90visctmp(i-1,j+1,k) * mskCor(i-1,j+1,bi,bj) |
670 |
|
& +GGL90visctmp(i ,j-1,k) * mskCor(i ,j-1,bi,bj) |
671 |
|
& +GGL90visctmp(i ,j+1,k) * mskCor(i ,j+1,bi,bj)) |
672 |
|
& ) |
673 |
|
& /(p4 * 2. _d 0 |
674 |
|
& +p8 *( maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj) |
675 |
|
& + maskC(i-1,j+1,k,bi,bj) * mskCor(i-1,j+1,bi,bj) |
676 |
|
& + maskC(i ,j-1,k,bi,bj) * mskCor(i ,j-1,bi,bj) |
677 |
|
& + maskC(i ,j+1,k,bi,bj) * mskCor(i ,j+1,bi,bj)) |
678 |
|
& ) |
679 |
|
& *maskC(i ,j,k,bi,bj)*mskCor(i ,j,bi,bj) |
680 |
|
& *maskC(i-1,j,k,bi,bj)*mskCor(i-1,j,bi,bj) |
681 |
|
#else |
682 |
|
tmpVisc = _maskW(i,j,k,bi,bj) * |
683 |
|
& (.5 _d 0*(GGL90visctmp(i,j,k) |
684 |
|
& +GGL90visctmp(i-1,j,k)) |
685 |
|
& ) |
686 |
|
#endif |
687 |
|
tmpVisc = MIN( tmpVisc , GGL90viscMax ) |
688 |
|
GGL90viscArU(i,j,k,bi,bj) = MAX( tmpVisc, viscArNr(k) ) |
689 |
|
ENDDO |
690 |
|
ENDDO |
691 |
|
ENDDO |
692 |
|
|
693 |
|
DO k=2,Nr |
694 |
|
DO j=1,sNy+1 |
695 |
|
DO i=1,sNx |
696 |
|
#ifdef ALLOW_GGL90_SMOOTH |
697 |
|
tmpVisc = |
698 |
|
& ( |
699 |
|
& p4 *(GGL90visctmp(i ,j ,k) * mskCor(i ,j ,bi,bj) |
700 |
|
& +GGL90visctmp(i ,j-1,k) * mskCor(i ,j-1,bi,bj)) |
701 |
|
& +p8 *(GGL90visctmp(i-1,j ,k) * mskCor(i-1,j ,bi,bj) |
702 |
|
& +GGL90visctmp(i-1,j-1,k) * mskCor(i-1,j-1,bi,bj) |
703 |
|
& +GGL90visctmp(i+1,j ,k) * mskCor(i+1,j ,bi,bj) |
704 |
|
& +GGL90visctmp(i+1,j-1,k) * mskCor(i+1,j-1,bi,bj)) |
705 |
|
& ) |
706 |
|
& /(p4 * 2. _d 0 |
707 |
|
& +p8 *( maskC(i-1,j ,k,bi,bj) * mskCor(i-1,j ,bi,bj) |
708 |
|
& + maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj) |
709 |
|
& + maskC(i+1,j ,k,bi,bj) * mskCor(i+1,j ,bi,bj) |
710 |
|
& + maskC(i+1,j-1,k,bi,bj) * mskCor(i+1,j-1,bi,bj)) |
711 |
|
& ) |
712 |
|
& *maskC(i,j ,k,bi,bj)*mskCor(i,j ,bi,bj) |
713 |
|
& *maskC(i,j-1,k,bi,bj)*mskCor(i,j-1,bi,bj) |
714 |
|
#else |
715 |
|
tmpVisc = _maskS(i,j,k,bi,bj) * |
716 |
|
& (.5 _d 0*(GGL90visctmp(i,j,k) |
717 |
|
& +GGL90visctmp(i,j-1,k)) |
718 |
|
& ) |
719 |
|
|
720 |
|
#endif |
721 |
|
tmpVisc = MIN( tmpVisc , GGL90viscMax ) |
722 |
|
GGL90viscArV(i,j,k,bi,bj) = MAX( tmpVisc, viscArNr(k) ) |
723 |
ENDDO |
ENDDO |
724 |
ENDDO |
ENDDO |
|
C end third k-loop |
|
725 |
ENDDO |
ENDDO |
726 |
|
|
727 |
|
#ifdef ALLOW_DIAGNOSTICS |
728 |
|
IF ( useDiagnostics ) THEN |
729 |
|
CALL DIAGNOSTICS_FILL( GGL90TKE ,'GGL90TKE', |
730 |
|
& 0,Nr, 1, bi, bj, myThid ) |
731 |
|
CALL DIAGNOSTICS_FILL( GGL90viscArU,'GGL90ArU', |
732 |
|
& 0,Nr, 1, bi, bj, myThid ) |
733 |
|
CALL DIAGNOSTICS_FILL( GGL90viscArV,'GGL90ArV', |
734 |
|
& 0,Nr, 1, bi, bj, myThid ) |
735 |
|
CALL DIAGNOSTICS_FILL( GGL90diffKr,'GGL90Kr ', |
736 |
|
& 0,Nr, 1, bi, bj, myThid ) |
737 |
|
CALL DIAGNOSTICS_FILL( TKEPrandtlNumber ,'GGL90Prl', |
738 |
|
& 0,Nr, 2, bi, bj, myThid ) |
739 |
|
CALL DIAGNOSTICS_FILL( GGL90mixingLength,'GGL90Lmx', |
740 |
|
& 0,Nr, 2, bi, bj, myThid ) |
741 |
|
|
742 |
|
kp1 = MIN(Nr,kSurf+1) |
743 |
|
DO j=jMin,jMax |
744 |
|
DO i=iMin,iMax |
745 |
|
C diagnose surface flux of TKE |
746 |
|
surf_flx_tke(i,j) =(GGL90TKE(i,j,kSurf,bi,bj)- |
747 |
|
& GGL90TKE(i,j,kp1,bi,bj)) |
748 |
|
& *recip_drF(kSurf)*recip_hFacC(i,j,kSurf,bi,bj) |
749 |
|
& *KappaE(i,j,kp1) |
750 |
|
ENDDO |
751 |
|
ENDDO |
752 |
|
CALL DIAGNOSTICS_FILL( surf_flx_tke,'GGL90flx', |
753 |
|
& 0, 1, 2, bi, bj, myThid ) |
754 |
|
|
755 |
|
k=kSurf |
756 |
|
DO j=jMin,jMax |
757 |
|
DO i=iMin,iMax |
758 |
|
C diagnose work done by the wind |
759 |
|
surf_flx_tke(i,j) = |
760 |
|
& halfRL*( surfaceForcingU(i, j,bi,bj)*uVel(i ,j,k,bi,bj) |
761 |
|
& +surfaceForcingU(i+1,j,bi,bj)*uVel(i+1,j,k,bi,bj)) |
762 |
|
& + halfRL*( surfaceForcingV(i,j, bi,bj)*vVel(i,j ,k,bi,bj) |
763 |
|
& +surfaceForcingV(i,j+1,bi,bj)*vVel(i,j+1,k,bi,bj)) |
764 |
|
ENDDO |
765 |
|
ENDDO |
766 |
|
CALL DIAGNOSTICS_FILL( surf_flx_tke,'GGL90tau', |
767 |
|
& 0, 1, 2, bi, bj, myThid ) |
768 |
|
|
769 |
|
ENDIF |
770 |
|
#endif /* ALLOW_DIAGNOSTICS */ |
771 |
|
|
772 |
#endif /* ALLOW_GGL90 */ |
#endif /* ALLOW_GGL90 */ |
773 |
|
|
774 |
RETURN |
RETURN |
775 |
END |
END |
|
|
|