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 *==========================================================* |
35 |
#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
36 |
#include "PARAMS.h" |
#include "PARAMS.h" |
37 |
#include "DYNVARS.h" |
#include "DYNVARS.h" |
|
#include "GGL90.h" |
|
38 |
#include "FFIELDS.h" |
#include "FFIELDS.h" |
39 |
#include "GRID.h" |
#include "GRID.h" |
40 |
|
#include "GGL90.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 sigmaR :: Vertical gradient of iso-neutral density |
46 |
C myTime :: Current time in simulation |
C myTime :: Current time in simulation |
47 |
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C myIter :: Current time-step number |
48 |
C myThid :: My Thread Id number |
C myThid :: My Thread Id number |
49 |
INTEGER bi, bj |
INTEGER bi, bj |
50 |
|
_RL sigmaR(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
51 |
_RL myTime |
_RL myTime |
52 |
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INTEGER myIter |
53 |
INTEGER myThid |
INTEGER myThid |
|
CEOP |
|
54 |
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|
55 |
#ifdef ALLOW_GGL90 |
#ifdef ALLOW_GGL90 |
56 |
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|
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 hFac/hFacI :: fractional thickness of W-cell |
63 |
C verticalShear - (squared) vertical shear of horizontal velocity |
C explDissFac :: explicit Dissipation Factor (in [0-1]) |
64 |
C Nsquare - squared buoyancy freqency |
C implDissFac :: implicit Dissipation Factor (in [0-1]) |
65 |
C RiNumber - local Richardson number |
C uStarSquare :: square of friction velocity |
66 |
C KappaM - (local) viscosity parameter (eq.10) |
C verticalShear :: (squared) vertical shear of horizontal velocity |
67 |
C KappaH - (local) diffusivity parameter for temperature (eq.11) |
C Nsquare :: squared buoyancy freqency |
68 |
C KappaE - (local) diffusivity parameter for TKE (eq.15) |
C RiNumber :: local Richardson number |
69 |
C TKEdissipation - dissipation of TKE |
C KappaM :: (local) viscosity parameter (eq.10) |
70 |
C GGL90mixingLength- mixing length of scheme following Banke+Delecuse |
C KappaH :: (local) diffusivity parameter for temperature (eq.11) |
71 |
C rMixingLength- inverse of mixing length |
C KappaE :: (local) diffusivity parameter for TKE (eq.15) |
72 |
C totalDepth - thickness of water column (inverse of recip_Rcol) |
C TKEdissipation :: dissipation of TKE |
73 |
C TKEPrandtlNumber - here, an empirical function of the Richardson number |
C GGL90mixingLength:: mixing length of scheme following Banke+Delecuse |
74 |
C rhoK, rhoKm1 - density at layer K and Km1 (relative to K) |
C rMixingLength:: inverse of mixing length |
75 |
C gTKE - right hand side of implicit equation |
C totalDepth :: thickness of water column (inverse of recip_Rcol) |
76 |
|
C TKEPrandtlNumber :: here, an empirical function of the Richardson number |
77 |
INTEGER iMin ,iMax ,jMin ,jMax |
INTEGER iMin ,iMax ,jMin ,jMax |
78 |
INTEGER I, J, K, Kp1, Km1, kSurf, kBottom |
INTEGER i, j, k, kp1, km1, kSurf, kBottom |
79 |
_RL ab15, ab05 |
_RL explDissFac, implDissFac |
80 |
_RL uStarSquare |
_RL uStarSquare |
81 |
_RL verticalShear |
_RL verticalShear(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
82 |
_RL KappaM, KappaH |
_RL KappaM(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
83 |
|
_RL KappaH |
84 |
c _RL Nsquare |
c _RL Nsquare |
85 |
_RL Nsquare(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL Nsquare(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
86 |
_RL deltaTggl90 |
_RL deltaTggl90 |
87 |
c _RL SQRTTKE |
c _RL SQRTTKE |
88 |
_RL SQRTTKE(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL SQRTTKE(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
89 |
_RL RiNumber |
_RL RiNumber |
90 |
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#ifdef ALLOW_GGL90_IDEMIX |
91 |
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_RL IDEMIX_RiNumber |
92 |
|
#endif |
93 |
_RL TKEdissipation |
_RL TKEdissipation |
94 |
_RL tempU, tempV, prTemp |
_RL tempU, tempV, prTemp |
95 |
_RL MaxLength, tmpmlx, tmpVisc |
_RL MaxLength, tmpmlx, tmpVisc |
98 |
_RL rMixingLength (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL rMixingLength (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
99 |
_RL mxLength_Dn (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL mxLength_Dn (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
100 |
_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) |
|
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_RL rhoKm1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
101 |
_RL totalDepth (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL totalDepth (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
_RL gTKE (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
|
102 |
_RL GGL90visctmp (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL GGL90visctmp (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
103 |
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#ifdef ALLOW_DIAGNOSTICS |
104 |
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_RL surf_flx_tke (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
105 |
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#endif /* ALLOW_DIAGNOSTICS */ |
106 |
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C hFac(I) :: fractional thickness of W-cell |
107 |
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_RL hFac |
108 |
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#ifdef ALLOW_GGL90_IDEMIX |
109 |
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_RL hFacI(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
110 |
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#endif /* ALLOW_GGL90_IDEMIX */ |
111 |
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_RL recip_hFacI(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
112 |
C- tri-diagonal matrix |
C- tri-diagonal matrix |
113 |
_RL a(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL a3d(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
114 |
_RL b(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL b3d(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
115 |
_RL c(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL c3d(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
116 |
INTEGER errCode |
INTEGER errCode |
117 |
#ifdef ALLOW_GGL90_HORIZDIFF |
#ifdef ALLOW_GGL90_HORIZDIFF |
118 |
C- xA, yA - area of lateral faces |
C xA, yA :: area of lateral faces |
119 |
C- dfx, dfy - diffusive flux across lateral faces |
C dfx, dfy :: diffusive flux across lateral faces |
120 |
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C gTKE :: right hand side of diffusion equation |
121 |
_RL xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
122 |
_RL yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
123 |
_RL dfx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL dfx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
124 |
_RL dfy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL dfy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
125 |
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_RL gTKE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
126 |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
127 |
#ifdef ALLOW_GGL90_SMOOTH |
#ifdef ALLOW_GGL90_SMOOTH |
128 |
_RL p4, p8, p16 |
_RL p4, p8, p16 |
129 |
|
CEOP |
130 |
p4=0.25 _d 0 |
p4=0.25 _d 0 |
131 |
p8=0.125 _d 0 |
p8=0.125 _d 0 |
132 |
p16=0.0625 _d 0 |
p16=0.0625 _d 0 |
140 |
deltaTggl90 = dTtracerLev(1) |
deltaTggl90 = dTtracerLev(1) |
141 |
|
|
142 |
kSurf = 1 |
kSurf = 1 |
143 |
C implicit timestepping weights for dissipation |
C explicit/implicit timestepping weights for dissipation |
144 |
ab15 = 1.5 _d 0 |
explDissFac = 0. _d 0 |
145 |
ab05 = -0.5 _d 0 |
implDissFac = 1. _d 0 - explDissFac |
146 |
ab15 = 1. _d 0 |
|
147 |
ab05 = 0. _d 0 |
C For nonlinear free surface and especially with r*-coordinates, the |
148 |
|
C hFacs change every timestep, so we need to update them here in the |
149 |
|
C case of using IDEMIX. |
150 |
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DO K=1,Nr |
151 |
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Km1 = MAX(K-1,1) |
152 |
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DO j=1-OLy,sNy+OLy |
153 |
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DO i=1-OLx,sNx+OLx |
154 |
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hFac = |
155 |
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& MIN(.5 _d 0,_hFacC(i,j,km1,bi,bj) ) + |
156 |
|
& MIN(.5 _d 0,_hFacC(i,j,k ,bi,bj) ) |
157 |
|
recip_hFacI(I,J,K)=0. _d 0 |
158 |
|
IF ( hFac .NE. 0. _d 0 ) |
159 |
|
& recip_hFacI(I,J,K)=1. _d 0/hFac |
160 |
|
#ifdef ALLOW_GGL90_IDEMIX |
161 |
|
hFacI(i,j,k) = hFac |
162 |
|
#endif /* ALLOW_GGL90_IDEMIX */ |
163 |
|
ENDDO |
164 |
|
ENDDO |
165 |
|
ENDDO |
166 |
|
|
167 |
C Initialize local fields |
C Initialize local fields |
168 |
DO K = 1, Nr |
DO k = 1, Nr |
169 |
DO J=1-Oly,sNy+Oly |
DO j=1-OLy,sNy+OLy |
170 |
DO I=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
171 |
gTKE(I,J,K) = 0. _d 0 |
rMixingLength(i,j,k) = 0. _d 0 |
172 |
KappaE(I,J,K) = 0. _d 0 |
mxLength_Dn(i,j,k) = 0. _d 0 |
173 |
TKEPrandtlNumber(I,J,K) = 1. _d 0 |
GGL90visctmp(i,j,k) = 0. _d 0 |
174 |
GGL90mixingLength(I,J,K) = GGL90mixingLengthMin |
KappaE(i,j,k) = 0. _d 0 |
175 |
GGL90visctmp(I,J,K) = 0. _d 0 |
TKEPrandtlNumber(i,j,k) = 1. _d 0 |
176 |
|
GGL90mixingLength(i,j,k) = GGL90mixingLengthMin |
177 |
|
GGL90visctmp(i,j,k) = 0. _d 0 |
178 |
|
#ifndef SOLVE_DIAGONAL_LOWMEMORY |
179 |
|
a3d(i,j,k) = 0. _d 0 |
180 |
|
b3d(i,j,k) = 1. _d 0 |
181 |
|
c3d(i,j,k) = 0. _d 0 |
182 |
|
#endif |
183 |
|
Nsquare(i,j,k) = 0. _d 0 |
184 |
|
SQRTTKE(i,j,k) = 0. _d 0 |
185 |
ENDDO |
ENDDO |
186 |
ENDDO |
ENDDO |
187 |
ENDDO |
ENDDO |
188 |
DO J=1-Oly,sNy+Oly |
DO j=1-OLy,sNy+OLy |
189 |
DO I=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
190 |
rhoK(I,J) = 0. _d 0 |
KappaM(i,j) = 0. _d 0 |
191 |
rhoKm1(I,J) = 0. _d 0 |
verticalShear(i,j) = 0. _d 0 |
192 |
totalDepth(I,J) = Ro_surf(i,j,bi,bj) - R_low(i,j,bi,bj) |
totalDepth(i,j) = Ro_surf(i,j,bi,bj) - R_low(i,j,bi,bj) |
193 |
rMixingLength(i,j,1) = 0. _d 0 |
rMixingLength(i,j,1) = 0. _d 0 |
194 |
mxLength_Dn(I,J,1) = GGL90mixingLengthMin |
mxLength_Dn(i,j,1) = GGL90mixingLengthMin |
195 |
SQRTTKE(i,j,1) = SQRT( GGL90TKE(i,j,1,bi,bj) ) |
SQRTTKE(i,j,1) = SQRT( GGL90TKE(i,j,1,bi,bj) ) |
196 |
|
#ifdef ALLOW_GGL90_HORIZDIFF |
197 |
|
xA(i,j) = 0. _d 0 |
198 |
|
yA(i,j) = 0. _d 0 |
199 |
|
dfx(i,j) = 0. _d 0 |
200 |
|
dfy(i,j) = 0. _d 0 |
201 |
|
gTKE(i,j) = 0. _d 0 |
202 |
|
#endif /* ALLOW_GGL90_HORIZDIFF */ |
203 |
ENDDO |
ENDDO |
204 |
ENDDO |
ENDDO |
205 |
|
|
206 |
C start k-loop |
#ifdef ALLOW_GGL90_IDEMIX |
207 |
DO K = 2, Nr |
IF ( useIDEMIX) CALL GGL90_IDEMIX( |
208 |
Km1 = K-1 |
& bi, bj, hFacI, recip_hFacI, sigmaR, myTime, myIter, myThid ) |
209 |
c Kp1 = MIN(Nr,K+1) |
#endif /* ALLOW_GGL90_IDEMIX */ |
210 |
CALL FIND_RHO_2D( |
|
211 |
I iMin, iMax, jMin, jMax, K, |
DO k = 2, Nr |
212 |
I theta(1-OLx,1-OLy,Km1,bi,bj), salt(1-OLx,1-OLy,Km1,bi,bj), |
DO j=jMin,jMax |
213 |
O rhoKm1, |
DO i=iMin,iMax |
214 |
I Km1, bi, bj, myThid ) |
SQRTTKE(i,j,k)=SQRT( GGL90TKE(i,j,k,bi,bj) ) |
|
|
|
|
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(i,j,k)=SQRT( GGL90TKE(I,J,K,bi,bj) ) |
|
215 |
|
|
216 |
C buoyancy frequency |
C buoyancy frequency |
217 |
Nsquare(i,j,k) = - gravity*recip_rhoConst*recip_drC(K) |
Nsquare(i,j,k) = gravity*gravitySign*recip_rhoConst |
218 |
& * ( rhoKm1(I,J) - rhoK(I,J) )*maskC(I,J,K,bi,bj) |
& * sigmaR(i,j,k) |
219 |
cC vertical shear term (dU/dz)^2+(dV/dz)^2 |
C vertical shear term (dU/dz)^2+(dV/dz)^2 is computed later |
220 |
c tempU= .5 _d 0*( uVel(I,J,Km1,bi,bj)+uVel(I+1,J,Km1,bi,bj) |
C to save some memory |
|
c & -( uVel(I,J,K ,bi,bj)+uVel(I+1,J,K ,bi,bj)) ) |
|
|
c & *recip_drC(K) |
|
|
c tempV= .5 _d 0*( 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)) ) |
|
|
c & *recip_drC(K) |
|
|
c verticalShear = tempU*tempU + tempV*tempV |
|
|
c RiNumber = MAX(Nsquare(i,j,k),0. _d 0)/(verticalShear+GGL90eps) |
|
|
cC compute Prandtl number (always greater than 0) |
|
|
c prTemp = 1. _d 0 |
|
|
c IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
|
|
c TKEPrandtlNumber(I,J,K) = MIN(10. _d 0,prTemp) |
|
221 |
C mixing length |
C mixing length |
222 |
GGL90mixingLength(I,J,K) = SQRTTWO * |
GGL90mixingLength(i,j,k) = SQRTTWO * |
223 |
& SQRTTKE(i,j,k)/SQRT( MAX(Nsquare(i,j,k),GGL90eps) ) |
& SQRTTKE(i,j,k)/SQRT( MAX(Nsquare(i,j,k),GGL90eps) ) |
224 |
ENDDO |
ENDDO |
225 |
ENDDO |
ENDDO |
226 |
ENDDO |
ENDDO |
227 |
|
|
228 |
C- Impose upper and lower bound for mixing length |
C- ensure mixing between first and second level |
229 |
|
IF (mxlSurfFlag) THEN |
230 |
|
DO j=jMin,jMax |
231 |
|
DO i=iMin,iMax |
232 |
|
GGL90mixingLength(i,j,2)=drF(1) |
233 |
|
ENDDO |
234 |
|
ENDDO |
235 |
|
ENDIF |
236 |
|
|
237 |
|
C-- Impose upper and lower bound for mixing length |
238 |
|
C-- Impose minimum mixing length to avoid division by zero |
239 |
IF ( mxlMaxFlag .EQ. 0 ) THEN |
IF ( mxlMaxFlag .EQ. 0 ) THEN |
240 |
C- |
|
241 |
DO k=2,Nr |
DO k=2,Nr |
242 |
DO J=jMin,jMax |
DO j=jMin,jMax |
243 |
DO I=iMin,iMax |
DO i=iMin,iMax |
244 |
MaxLength=totalDepth(I,J) |
MaxLength=totalDepth(i,j) |
245 |
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
246 |
& MaxLength) |
& MaxLength) |
247 |
ENDDO |
ENDDO |
248 |
ENDDO |
ENDDO |
249 |
ENDDO |
ENDDO |
250 |
|
|
251 |
DO k=2,Nr |
DO k=2,Nr |
252 |
DO J=jMin,jMax |
DO j=jMin,jMax |
253 |
DO I=iMin,iMax |
DO i=iMin,iMax |
254 |
GGL90mixingLength(I,J,K) = MAX(GGL90mixingLength(I,J,K), |
GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
255 |
& GGL90mixingLengthMin) |
& GGL90mixingLengthMin) |
256 |
rMixingLength(I,J,K) = 1. _d 0 / GGL90mixingLength(I,J,K) |
rMixingLength(i,j,k) = 1. _d 0 / GGL90mixingLength(i,j,k) |
257 |
ENDDO |
ENDDO |
258 |
ENDDO |
ENDDO |
259 |
ENDDO |
ENDDO |
260 |
|
|
261 |
ELSEIF ( mxlMaxFlag .EQ. 1 ) THEN |
ELSEIF ( mxlMaxFlag .EQ. 1 ) THEN |
262 |
C- |
|
263 |
DO k=2,Nr |
DO k=2,Nr |
264 |
DO J=jMin,jMax |
DO j=jMin,jMax |
265 |
DO I=iMin,iMax |
DO i=iMin,iMax |
266 |
MaxLength=MIN(Ro_surf(I,J,bi,bj)-rF(k),rF(k)-R_low(I,J,bi,bj)) |
MaxLength=MIN(Ro_surf(i,j,bi,bj)-rF(k),rF(k)-R_low(i,j,bi,bj)) |
267 |
c MaxLength=MAX(MaxLength,20. _d 0) |
c MaxLength=MAX(MaxLength,20. _d 0) |
268 |
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
269 |
& MaxLength) |
& MaxLength) |
270 |
ENDDO |
ENDDO |
271 |
ENDDO |
ENDDO |
272 |
ENDDO |
ENDDO |
273 |
|
|
274 |
DO k=2,Nr |
DO k=2,Nr |
275 |
DO J=jMin,jMax |
DO j=jMin,jMax |
276 |
DO I=iMin,iMax |
DO i=iMin,iMax |
277 |
GGL90mixingLength(I,J,K) = MAX(GGL90mixingLength(I,J,K), |
GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
278 |
& GGL90mixingLengthMin) |
& GGL90mixingLengthMin) |
279 |
rMixingLength(I,J,K) = 1. _d 0 / GGL90mixingLength(I,J,K) |
rMixingLength(i,j,k) = 1. _d 0 / GGL90mixingLength(i,j,k) |
280 |
ENDDO |
ENDDO |
281 |
ENDDO |
ENDDO |
282 |
ENDDO |
ENDDO |
283 |
|
|
284 |
ELSEIF ( mxlMaxFlag .EQ. 2 ) THEN |
ELSEIF ( mxlMaxFlag .EQ. 2 ) THEN |
285 |
C- |
|
|
cgf ensure mixing between first and second level |
|
|
c DO J=jMin,jMax |
|
|
c DO I=iMin,iMax |
|
|
c GGL90mixingLength(I,J,2)=drF(1) |
|
|
c ENDDO |
|
|
c ENDDO |
|
|
cgf |
|
286 |
DO k=2,Nr |
DO k=2,Nr |
287 |
DO J=jMin,jMax |
DO j=jMin,jMax |
288 |
DO I=iMin,iMax |
DO i=iMin,iMax |
289 |
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
290 |
& GGL90mixingLength(I,J,K-1)+drF(k-1)) |
& GGL90mixingLength(i,j,k-1)+drF(k-1)) |
291 |
ENDDO |
ENDDO |
292 |
ENDDO |
ENDDO |
293 |
ENDDO |
ENDDO |
294 |
DO J=jMin,jMax |
DO j=jMin,jMax |
295 |
DO I=iMin,iMax |
DO i=iMin,iMax |
296 |
GGL90mixingLength(I,J,Nr) = MIN(GGL90mixingLength(I,J,Nr), |
GGL90mixingLength(i,j,Nr) = MIN(GGL90mixingLength(i,j,Nr), |
297 |
& GGL90mixingLengthMin+drF(Nr)) |
& GGL90mixingLengthMin+drF(Nr)) |
298 |
ENDDO |
ENDDO |
299 |
ENDDO |
ENDDO |
300 |
DO k=Nr-1,2,-1 |
DO k=Nr-1,2,-1 |
301 |
DO J=jMin,jMax |
DO j=jMin,jMax |
302 |
DO I=iMin,iMax |
DO i=iMin,iMax |
303 |
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
304 |
& GGL90mixingLength(I,J,K+1)+drF(k)) |
& GGL90mixingLength(i,j,k+1)+drF(k)) |
305 |
ENDDO |
ENDDO |
306 |
ENDDO |
ENDDO |
307 |
ENDDO |
ENDDO |
308 |
|
|
309 |
DO k=2,Nr |
DO k=2,Nr |
310 |
DO J=jMin,jMax |
DO j=jMin,jMax |
311 |
DO I=iMin,iMax |
DO i=iMin,iMax |
312 |
GGL90mixingLength(I,J,K) = MAX(GGL90mixingLength(I,J,K), |
GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
313 |
& GGL90mixingLengthMin) |
& GGL90mixingLengthMin) |
314 |
rMixingLength(I,J,K) = 1. _d 0 / GGL90mixingLength(I,J,K) |
rMixingLength(i,j,k) = 1. _d 0 / GGL90mixingLength(i,j,k) |
315 |
ENDDO |
ENDDO |
316 |
ENDDO |
ENDDO |
317 |
ENDDO |
ENDDO |
318 |
|
|
319 |
ELSEIF ( mxlMaxFlag .EQ. 3 ) THEN |
ELSEIF ( mxlMaxFlag .EQ. 3 ) THEN |
320 |
C- |
|
321 |
DO k=2,Nr |
DO k=2,Nr |
322 |
DO J=jMin,jMax |
DO j=jMin,jMax |
323 |
DO I=iMin,iMax |
DO i=iMin,iMax |
324 |
mxLength_Dn(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
mxLength_Dn(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
325 |
& mxLength_Dn(I,J,K-1)+drF(k-1)) |
& mxLength_Dn(i,j,k-1)+drF(k-1)) |
326 |
ENDDO |
ENDDO |
327 |
ENDDO |
ENDDO |
328 |
ENDDO |
ENDDO |
329 |
DO J=jMin,jMax |
DO j=jMin,jMax |
330 |
DO I=iMin,iMax |
DO i=iMin,iMax |
331 |
GGL90mixingLength(I,J,Nr) = MIN(GGL90mixingLength(I,J,Nr), |
GGL90mixingLength(i,j,Nr) = MIN(GGL90mixingLength(i,j,Nr), |
332 |
& GGL90mixingLengthMin+drF(Nr)) |
& GGL90mixingLengthMin+drF(Nr)) |
333 |
ENDDO |
ENDDO |
334 |
ENDDO |
ENDDO |
335 |
DO k=Nr-1,2,-1 |
DO k=Nr-1,2,-1 |
336 |
DO J=jMin,jMax |
DO j=jMin,jMax |
337 |
DO I=iMin,iMax |
DO i=iMin,iMax |
338 |
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
339 |
& GGL90mixingLength(I,J,K+1)+drF(k)) |
& GGL90mixingLength(i,j,k+1)+drF(k)) |
340 |
ENDDO |
ENDDO |
341 |
ENDDO |
ENDDO |
342 |
ENDDO |
ENDDO |
343 |
|
|
344 |
DO k=2,Nr |
DO k=2,Nr |
345 |
DO J=jMin,jMax |
DO j=jMin,jMax |
346 |
DO I=iMin,iMax |
DO i=iMin,iMax |
347 |
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
348 |
& mxLength_Dn(I,J,K)) |
& mxLength_Dn(i,j,k)) |
349 |
tmpmlx = SQRT( GGL90mixingLength(I,J,K)*mxLength_Dn(I,J,K) ) |
tmpmlx = SQRT( GGL90mixingLength(i,j,k)*mxLength_Dn(i,j,k) ) |
350 |
tmpmlx = MAX( tmpmlx, GGL90mixingLengthMin) |
tmpmlx = MAX( tmpmlx, GGL90mixingLengthMin) |
351 |
rMixingLength(I,J,K) = 1. _d 0 / tmpmlx |
rMixingLength(i,j,k) = 1. _d 0 / tmpmlx |
352 |
ENDDO |
ENDDO |
353 |
ENDDO |
ENDDO |
354 |
ENDDO |
ENDDO |
357 |
STOP 'GGL90_CALC: Wrong mxlMaxFlag (mixing length limit)' |
STOP 'GGL90_CALC: Wrong mxlMaxFlag (mixing length limit)' |
358 |
ENDIF |
ENDIF |
359 |
|
|
360 |
C- Impose minimum mixing length (to avoid division by zero) |
C start "proper" k-loop (the code above was moved out and up to |
361 |
c DO k=2,Nr |
C implemement various mixing parameters efficiently) |
|
c DO J=jMin,jMax |
|
|
c DO I=iMin,iMax |
|
|
c GGL90mixingLength(I,J,K) = MAX(GGL90mixingLength(I,J,K), |
|
|
c & GGL90mixingLengthMin) |
|
|
c rMixingLength(I,J,K) = 1. _d 0 /GGL90mixingLength(I,J,K) |
|
|
c ENDDO |
|
|
c ENDDO |
|
|
c ENDDO |
|
|
|
|
|
|
|
362 |
DO k=2,Nr |
DO k=2,Nr |
363 |
Km1 = K-1 |
km1 = k-1 |
|
DO J=jMin,jMax |
|
|
DO I=iMin,iMax |
|
|
C vertical shear term (dU/dz)^2+(dV/dz)^2 |
|
|
tempU= .5 _d 0*( uVel(I,J,Km1,bi,bj)+uVel(I+1,J,Km1,bi,bj) |
|
|
& -( uVel(I,J,K ,bi,bj)+uVel(I+1,J,K ,bi,bj)) ) |
|
|
& *recip_drC(K) |
|
|
tempV= .5 _d 0*( vVel(I,J,Km1,bi,bj)+vVel(I,J+1,Km1,bi,bj) |
|
|
& -( vVel(I,J,K ,bi,bj)+vVel(I,J+1,K ,bi,bj)) ) |
|
|
& *recip_drC(K) |
|
|
verticalShear = tempU*tempU + tempV*tempV |
|
|
RiNumber = MAX(Nsquare(i,j,k),0. _d 0)/(verticalShear+GGL90eps) |
|
|
C compute Prandtl number (always greater than 0) |
|
|
prTemp = 1. _d 0 |
|
|
IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
|
|
TKEPrandtlNumber(I,J,K) = MIN(10. _d 0,prTemp) |
|
|
c TKEPrandtlNumber(I,J,K) = 1. _d 0 |
|
|
|
|
|
C viscosity and diffusivity |
|
|
KappaM = GGL90ck*GGL90mixingLength(I,J,K)*SQRTTKE(i,j,k) |
|
|
GGL90visctmp(I,J,K) = MAX(KappaM,diffKrNrT(k)) |
|
|
& * maskC(I,J,K,bi,bj) |
|
|
c note: storing GGL90visctmp like this, and using it later to compute |
|
|
c GGL9rdiffKr etc. is robust in case of smoothing (e.g. see OPA) |
|
|
KappaM = MAX(KappaM,viscArNr(k)) * maskC(I,J,K,bi,bj) |
|
|
KappaH = KappaM/TKEPrandtlNumber(I,J,K) |
|
|
KappaE(I,J,K) = GGL90alpha * KappaM * maskC(I,J,K,bi,bj) |
|
|
|
|
|
C dissipation term |
|
|
TKEdissipation = ab05*GGL90ceps |
|
|
& *SQRTTKE(i,j,k)*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 |
|
|
& - KappaH*Nsquare(i,j,k) |
|
|
& - TKEdissipation |
|
|
& ) |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDDO |
|
364 |
|
|
|
C horizontal diffusion of TKE (requires an exchange in |
|
|
C do_fields_blocking_exchanges) |
|
365 |
#ifdef ALLOW_GGL90_HORIZDIFF |
#ifdef ALLOW_GGL90_HORIZDIFF |
366 |
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
367 |
DO K=2,Nr |
C horizontal diffusion of TKE (requires an exchange in |
368 |
|
C do_fields_blocking_exchanges) |
369 |
C common factors |
C common factors |
370 |
DO j=1-Oly,sNy+Oly |
DO j=1-OLy,sNy+OLy |
371 |
DO i=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
372 |
xA(i,j) = _dyG(i,j,bi,bj) |
xA(i,j) = _dyG(i,j,bi,bj)*drC(k)* |
373 |
& *drF(k)*_hFacW(i,j,k,bi,bj) |
& (min(.5 _d 0,_hFacW(i,j,k-1,bi,bj) ) + |
374 |
yA(i,j) = _dxG(i,j,bi,bj) |
& min(.5 _d 0,_hFacW(i,j,k ,bi,bj) ) ) |
375 |
& *drF(k)*_hFacS(i,j,k,bi,bj) |
yA(i,j) = _dxG(i,j,bi,bj)*drC(k)* |
376 |
|
& (min(.5 _d 0,_hFacS(i,j,k-1,bi,bj) ) + |
377 |
|
& min(.5 _d 0,_hFacS(i,j,k ,bi,bj) ) ) |
378 |
ENDDO |
ENDDO |
379 |
ENDDO |
ENDDO |
380 |
C Compute diffusive fluxes |
C Compute diffusive fluxes |
381 |
C ... across x-faces |
C ... across x-faces |
382 |
DO j=1-Oly,sNy+Oly |
DO j=1-OLy,sNy+OLy |
383 |
dfx(1-Olx,j)=0. _d 0 |
dfx(1-OLx,j)=0. _d 0 |
384 |
DO i=1-Olx+1,sNx+Olx |
DO i=1-OLx+1,sNx+OLx |
385 |
dfx(i,j) = -GGL90diffTKEh*xA(i,j) |
dfx(i,j) = -GGL90diffTKEh*xA(i,j) |
386 |
& *_recip_dxC(i,j,bi,bj) |
& *_recip_dxC(i,j,bi,bj) |
387 |
& *(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)) |
388 |
|
#ifdef ISOTROPIC_COS_SCALING |
389 |
& *CosFacU(j,bi,bj) |
& *CosFacU(j,bi,bj) |
390 |
|
#endif /* ISOTROPIC_COS_SCALING */ |
391 |
ENDDO |
ENDDO |
392 |
ENDDO |
ENDDO |
393 |
C ... across y-faces |
C ... across y-faces |
394 |
DO i=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
395 |
dfy(i,1-Oly)=0. _d 0 |
dfy(i,1-OLy)=0. _d 0 |
396 |
ENDDO |
ENDDO |
397 |
DO j=1-Oly+1,sNy+Oly |
DO j=1-OLy+1,sNy+OLy |
398 |
DO i=1-Olx,sNx+Olx |
DO i=1-OLx,sNx+OLx |
399 |
dfy(i,j) = -GGL90diffTKEh*yA(i,j) |
dfy(i,j) = -GGL90diffTKEh*yA(i,j) |
400 |
& *_recip_dyC(i,j,bi,bj) |
& *_recip_dyC(i,j,bi,bj) |
401 |
& *(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)) |
405 |
ENDDO |
ENDDO |
406 |
ENDDO |
ENDDO |
407 |
C Compute divergence of fluxes |
C Compute divergence of fluxes |
408 |
DO j=1-Oly,sNy+Oly-1 |
DO j=1-OLy,sNy+OLy-1 |
409 |
DO i=1-Olx,sNx+Olx-1 |
DO i=1-OLx,sNx+OLx-1 |
410 |
gTKE(i,j,k)=gTKE(i,j,k) |
gTKE(i,j) = -recip_drC(k)*recip_rA(i,j,bi,bj) |
411 |
& -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k)*recip_rA(i,j,bi,bj) |
& *recip_hFacI(i,j,k) |
412 |
& *( (dfx(i+1,j)-dfx(i,j)) |
& *((dfx(i+1,j)-dfx(i,j)) |
413 |
& +(dfy(i,j+1)-dfy(i,j)) |
& + (dfy(i,j+1)-dfy(i,j)) ) |
|
& )*deltaTggl90 |
|
414 |
ENDDO |
ENDDO |
415 |
ENDDO |
ENDDO |
|
C end of k-loop |
|
|
ENDDO |
|
416 |
C end if GGL90diffTKEh .eq. 0. |
C end if GGL90diffTKEh .eq. 0. |
417 |
ENDIF |
ENDIF |
418 |
|
#endif /* ALLOW_GGL90_HORIZDIFF */ |
419 |
|
|
420 |
|
C viscosity and diffusivity |
421 |
|
DO j=jMin,jMax |
422 |
|
DO i=iMin,iMax |
423 |
|
KappaM(i,j) = GGL90ck*GGL90mixingLength(i,j,k)*SQRTTKE(i,j,k) |
424 |
|
GGL90visctmp(i,j,k) = MAX(KappaM(i,j),diffKrNrS(k)) |
425 |
|
& * maskC(i,j,k,bi,bj) |
426 |
|
C note: storing GGL90visctmp like this, and using it later to compute |
427 |
|
C GGL9rdiffKr etc. is robust in case of smoothing (e.g. see OPA) |
428 |
|
KappaM(i,j) = MAX(KappaM(i,j),viscArNr(k)) * maskC(i,j,k,bi,bj) |
429 |
|
ENDDO |
430 |
|
ENDDO |
431 |
|
|
432 |
|
C compute Prandtl number (always greater than 0) |
433 |
|
#ifdef ALLOW_GGL90_IDEMIX |
434 |
|
IF ( useIDEMIX ) THEN |
435 |
|
DO j=jMin,jMax |
436 |
|
DO i=iMin,iMax |
437 |
|
C vertical shear term (dU/dz)^2+(dV/dz)^2 |
438 |
|
tempU= .5 _d 0*( uVel(i,j,km1,bi,bj)+uVel(i+1,j,km1,bi,bj) |
439 |
|
& -( uVel(i,j,k ,bi,bj)+uVel(i+1,j,k ,bi,bj)) ) |
440 |
|
& *recip_drC(k)*recip_hFacI(i,j,k) |
441 |
|
tempV= .5 _d 0*( vVel(i,j,km1,bi,bj)+vVel(i,j+1,km1,bi,bj) |
442 |
|
& -( vVel(i,j,k ,bi,bj)+vVel(i,j+1,k ,bi,bj)) ) |
443 |
|
& *recip_drC(k)*recip_hFacI(i,j,k) |
444 |
|
verticalShear(i,j) = tempU*tempU + tempV*tempV |
445 |
|
RiNumber = MAX(Nsquare(i,j,k),0. _d 0) |
446 |
|
& /(verticalShear(i,j)+GGL90eps) |
447 |
|
CML IDEMIX_RiNumber = 1./GGL90eps |
448 |
|
IDEMIX_RiNumber = MAX( KappaM(i,j)*Nsquare(i,j,k), 0. _d 0)/ |
449 |
|
& (GGL90eps+IDEMIX_tau_d(i,j,k,bi,bj)*IDEMIX_E(i,j,k,bi,bj)**2) |
450 |
|
prTemp = MIN(5.*RiNumber, 6.6 _d 0*IDEMIX_RiNumber) |
451 |
|
TKEPrandtlNumber(i,j,k) = MIN(10. _d 0,prTemp) |
452 |
|
TKEPrandtlNumber(i,j,k) = MAX( 1. _d 0,TKEPrandtlNumber(i,j,k)) |
453 |
|
ENDDO |
454 |
|
ENDDO |
455 |
|
ELSE |
456 |
|
#else /* ndef ALLOW_GGL90_IDEMIX */ |
457 |
|
IF (.TRUE.) THEN |
458 |
|
#endif /* ALLOW_GGL90_IDEMIX */ |
459 |
|
DO j=jMin,jMax |
460 |
|
DO i=iMin,iMax |
461 |
|
tempU= .5 _d 0*( uVel(i,j,km1,bi,bj)+uVel(i+1,j,km1,bi,bj) |
462 |
|
& -( uVel(i,j,k ,bi,bj)+uVel(i+1,j,k ,bi,bj)) ) |
463 |
|
& *recip_drC(k) |
464 |
|
tempV= .5 _d 0*( vVel(i,j,km1,bi,bj)+vVel(i,j+1,km1,bi,bj) |
465 |
|
& -( vVel(i,j,k ,bi,bj)+vVel(i,j+1,k ,bi,bj)) ) |
466 |
|
& *recip_drC(k) |
467 |
|
verticalShear(i,j) = tempU*tempU + tempV*tempV |
468 |
|
RiNumber = MAX(Nsquare(i,j,k),0. _d 0) |
469 |
|
& /(verticalShear(i,j)+GGL90eps) |
470 |
|
prTemp = 1. _d 0 |
471 |
|
IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
472 |
|
TKEPrandtlNumber(i,j,k) = MIN(10. _d 0,prTemp) |
473 |
|
ENDDO |
474 |
|
ENDDO |
475 |
|
ENDIF |
476 |
|
|
477 |
|
DO j=jMin,jMax |
478 |
|
DO i=iMin,iMax |
479 |
|
C diffusivity |
480 |
|
KappaH = KappaM(i,j)/TKEPrandtlNumber(i,j,k) |
481 |
|
KappaE(i,j,k) = GGL90alpha * KappaM(i,j) * maskC(i,j,k,bi,bj) |
482 |
|
|
483 |
|
C dissipation term |
484 |
|
TKEdissipation = explDissFac*GGL90ceps |
485 |
|
& *SQRTTKE(i,j,k)*rMixingLength(i,j,k) |
486 |
|
& *GGL90TKE(i,j,k,bi,bj) |
487 |
|
C partial update with sum of explicit contributions |
488 |
|
GGL90TKE(i,j,k,bi,bj) = GGL90TKE(i,j,k,bi,bj) |
489 |
|
& + deltaTggl90*( |
490 |
|
& + KappaM(i,j)*verticalShear(i,j) |
491 |
|
& - KappaH*Nsquare(i,j,k) |
492 |
|
& - TKEdissipation |
493 |
|
& ) |
494 |
|
ENDDO |
495 |
|
ENDDO |
496 |
|
|
497 |
|
#ifdef ALLOW_GGL90_IDEMIX |
498 |
|
IF ( useIDEMIX ) THEN |
499 |
|
C add IDEMIX contribution to the turbulent kinetic energy |
500 |
|
DO j=jMin,jMax |
501 |
|
DO i=iMin,iMax |
502 |
|
GGL90TKE(i,j,k,bi,bj) = GGL90TKE(i,j,k,bi,bj) |
503 |
|
& + deltaTggl90*( |
504 |
|
& + IDEMIX_tau_d(i,j,k,bi,bj)*IDEMIX_E(i,j,k,bi,bj)**2 |
505 |
|
& ) |
506 |
|
ENDDO |
507 |
|
ENDDO |
508 |
|
ENDIF |
509 |
|
#endif /* ALLOW_GGL90_IDEMIX */ |
510 |
|
|
511 |
|
#ifdef ALLOW_GGL90_HORIZDIFF |
512 |
|
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
513 |
|
C-- Add horiz. diffusion tendency |
514 |
|
DO j=jMin,jMax |
515 |
|
DO i=iMin,iMax |
516 |
|
GGL90TKE(i,j,k,bi,bj) = GGL90TKE(i,j,k,bi,bj) |
517 |
|
& + gTKE(i,j)*deltaTggl90 |
518 |
|
ENDDO |
519 |
|
ENDDO |
520 |
|
ENDIF |
521 |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
522 |
|
|
523 |
|
C-- end of k loop |
524 |
|
ENDDO |
525 |
|
|
526 |
C ============================================ |
C ============================================ |
527 |
C Implicit time step to update TKE for k=1,Nr; |
C Implicit time step to update TKE for k=1,Nr; |
528 |
C TKE(Nr+1)=0 by default |
C TKE(Nr+1)=0 by default |
531 |
C-- Lower diagonal |
C-- Lower diagonal |
532 |
DO j=jMin,jMax |
DO j=jMin,jMax |
533 |
DO i=iMin,iMax |
DO i=iMin,iMax |
534 |
a(i,j,1) = 0. _d 0 |
a3d(i,j,1) = 0. _d 0 |
535 |
ENDDO |
ENDDO |
536 |
ENDDO |
ENDDO |
537 |
DO k=2,Nr |
DO k=2,Nr |
541 |
C- We keep recip_hFacC in the diffusive flux calculation, |
C- We keep recip_hFacC in the diffusive flux calculation, |
542 |
C- but no hFacC in TKE volume control |
C- but no hFacC in TKE volume control |
543 |
C- No need for maskC(k-1) with recip_hFacC(k-1) |
C- No need for maskC(k-1) with recip_hFacC(k-1) |
544 |
a(i,j,k) = -deltaTggl90 |
a3d(i,j,k) = -deltaTggl90 |
545 |
& *recip_drF(k-1)*recip_hFacC(i,j,k-1,bi,bj) |
& *recip_drF(k-1)*recip_hFacC(i,j,k-1,bi,bj) |
546 |
& *.5 _d 0*(KappaE(i,j, k )+KappaE(i,j,km1)) |
& *.5 _d 0*(KappaE(i,j, k )+KappaE(i,j,km1)) |
547 |
& *recip_drC(k)*maskC(i,j,k,bi,bj) |
& *recip_drC(k)*maskC(i,j,k,bi,bj) |
551 |
C-- Upper diagonal |
C-- Upper diagonal |
552 |
DO j=jMin,jMax |
DO j=jMin,jMax |
553 |
DO i=iMin,iMax |
DO i=iMin,iMax |
554 |
c(i,j,1) = 0. _d 0 |
c3d(i,j,1) = 0. _d 0 |
555 |
ENDDO |
ENDDO |
556 |
ENDDO |
ENDDO |
557 |
DO k=2,Nr |
DO k=2,Nr |
558 |
DO j=jMin,jMax |
DO j=jMin,jMax |
559 |
DO i=iMin,iMax |
DO i=iMin,iMax |
560 |
kp1=MAX(1,MIN(klowC(i,j,bi,bj),k+1)) |
kp1=MAX(1,MIN(klowC(i,j,bi,bj),k+1)) |
561 |
C- We keep recip_hFacC in the diffusive flux calculation, |
C- We keep recip_hFacC in the diffusive flux calculation, |
562 |
C- but no hFacC in TKE volume control |
C- but no hFacC in TKE volume control |
563 |
C- No need for maskC(k) with recip_hFacC(k) |
C- No need for maskC(k) with recip_hFacC(k) |
564 |
c(i,j,k) = -deltaTggl90 |
c3d(i,j,k) = -deltaTggl90 |
565 |
& *recip_drF( k ) * recip_hFacC(i,j,k,bi,bj) |
& *recip_drF( k ) * recip_hFacC(i,j,k,bi,bj) |
566 |
& *.5 _d 0*(KappaE(i,j,k)+KappaE(i,j,kp1)) |
& *.5 _d 0*(KappaE(i,j,k)+KappaE(i,j,kp1)) |
567 |
& *recip_drC(k)*maskC(i,j,k-1,bi,bj) |
& *recip_drC(k)*maskC(i,j,k-1,bi,bj) |
568 |
ENDDO |
ENDDO |
569 |
ENDDO |
ENDDO |
570 |
ENDDO |
ENDDO |
571 |
|
|
572 |
|
#ifdef ALLOW_GGL90_IDEMIX |
573 |
|
IF ( useIDEMIX ) THEN |
574 |
|
DO k=2,Nr |
575 |
|
DO j=jMin,jMax |
576 |
|
DO i=iMin,iMax |
577 |
|
a3d(i,j,k) = a3d(i,j,k)*recip_hFacI(i,j,k) |
578 |
|
c3d(i,j,k) = c3d(i,j,k)*recip_hFacI(i,j,k) |
579 |
|
ENDDO |
580 |
|
ENDDO |
581 |
|
ENDDO |
582 |
|
ENDIF |
583 |
|
#endif /* ALLOW_GGL90_IDEMIX */ |
584 |
|
|
585 |
|
IF (.NOT.GGL90_dirichlet) THEN |
586 |
|
C Neumann bottom boundary condition for TKE: no flux from bottom |
587 |
|
DO j=jMin,jMax |
588 |
|
DO i=iMin,iMax |
589 |
|
kBottom = MAX(kLowC(i,j,bi,bj),1) |
590 |
|
c3d(i,j,kBottom) = 0. _d 0 |
591 |
|
ENDDO |
592 |
|
ENDDO |
593 |
|
ENDIF |
594 |
|
|
595 |
C-- Center diagonal |
C-- Center diagonal |
596 |
DO k=1,Nr |
DO k=1,Nr |
597 |
km1 = MAX(k-1,1) |
km1 = MAX(k-1,1) |
598 |
DO j=jMin,jMax |
DO j=jMin,jMax |
599 |
DO i=iMin,iMax |
DO i=iMin,iMax |
600 |
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) |
601 |
& + ab15*deltaTggl90*GGL90ceps*SQRTTKE(I,J,K) |
& + implDissFac*deltaTggl90*GGL90ceps*SQRTTKE(i,j,k) |
602 |
& * rMixingLength(I,J,K) |
& * rMixingLength(i,j,k) |
603 |
& * maskC(i,j,k,bi,bj)*maskC(i,j,km1,bi,bj) |
& * maskC(i,j,k,bi,bj)*maskC(i,j,km1,bi,bj) |
604 |
ENDDO |
ENDDO |
605 |
ENDDO |
ENDDO |
606 |
ENDDO |
ENDDO |
607 |
C end set up matrix |
C end set up matrix |
608 |
|
|
609 |
C Apply boundary condition |
C Apply boundary condition |
610 |
kp1 = MIN(Nr,kSurf+1) |
kp1 = MIN(Nr,kSurf+1) |
611 |
DO J=jMin,jMax |
DO j=jMin,jMax |
612 |
DO I=iMin,iMax |
DO i=iMin,iMax |
613 |
C estimate friction velocity uStar from surface forcing |
C estimate friction velocity uStar from surface forcing |
614 |
uStarSquare = SQRT( |
uStarSquare = SQRT( |
615 |
& ( .5 _d 0*( surfaceForcingU(I, J, bi,bj) |
& ( .5 _d 0*( surfaceForcingU(i, j, bi,bj) |
616 |
& + surfaceForcingU(I+1,J, bi,bj) ) )**2 |
& + surfaceForcingU(i+1,j, bi,bj) ) )**2 |
617 |
& + ( .5 _d 0*( surfaceForcingV(I, J, bi,bj) |
& + ( .5 _d 0*( surfaceForcingV(i, j, bi,bj) |
618 |
& + surfaceForcingV(I, J+1,bi,bj) ) )**2 |
& + surfaceForcingV(i, j+1,bi,bj) ) )**2 |
619 |
& ) |
& ) |
620 |
C Dirichlet surface boundary condition for TKE |
C Dirichlet surface boundary condition for TKE |
621 |
gTKE(I,J,kSurf) = MAX(GGL90TKEsurfMin,GGL90m2*uStarSquare) |
GGL90TKE(i,j,kSurf,bi,bj) = maskC(i,j,kSurf,bi,bj) |
622 |
& *maskC(I,J,kSurf,bi,bj) |
& *MAX(GGL90TKEsurfMin,GGL90m2*uStarSquare) |
623 |
gTKE(i,j,kp1) = gTKE(i,j,kp1) |
GGL90TKE(i,j,kp1,bi,bj) = GGL90TKE(i,j,kp1,bi,bj) |
624 |
& - a(i,j,kp1)*gTKE(i,j,kSurf) |
& - a3d(i,j,kp1)*GGL90TKE(i,j,kSurf,bi,bj) |
625 |
a(i,j,kp1) = 0. _d 0 |
a3d(i,j,kp1) = 0. _d 0 |
|
C Dirichlet bottom boundary condition for TKE = GGL90TKEbottom |
|
|
kBottom = MAX(kLowC(I,J,bi,bj),1) |
|
|
gTKE(I,J,kBottom) = gTKE(I,J,kBottom) |
|
|
& - GGL90TKEbottom*c(I,J,kBottom) |
|
|
c(I,J,kBottom) = 0. _d 0 |
|
626 |
ENDDO |
ENDDO |
627 |
ENDDO |
ENDDO |
628 |
|
|
629 |
C solve tri-diagonal system, and store solution on gTKE (previously rhs) |
IF (GGL90_dirichlet) THEN |
630 |
|
C Dirichlet bottom boundary condition for TKE = GGL90TKEbottom |
631 |
|
DO j=jMin,jMax |
632 |
|
DO i=iMin,iMax |
633 |
|
kBottom = MAX(kLowC(i,j,bi,bj),1) |
634 |
|
GGL90TKE(i,j,kBottom,bi,bj) = GGL90TKE(i,j,kBottom,bi,bj) |
635 |
|
& - GGL90TKEbottom*c3d(i,j,kBottom) |
636 |
|
c3d(i,j,kBottom) = 0. _d 0 |
637 |
|
ENDDO |
638 |
|
ENDDO |
639 |
|
ENDIF |
640 |
|
|
641 |
|
C solve tri-diagonal system |
642 |
CALL SOLVE_TRIDIAGONAL( iMin,iMax, jMin,jMax, |
CALL SOLVE_TRIDIAGONAL( iMin,iMax, jMin,jMax, |
643 |
I a, b, c, |
I a3d, b3d, c3d, |
644 |
U gTKE, |
U GGL90TKE(1-OLx,1-OLy,1,bi,bj), |
645 |
O errCode, |
O errCode, |
646 |
I 1, 1, myThid ) |
I bi, bj, myThid ) |
647 |
|
|
648 |
C now update TKE |
DO k=1,Nr |
649 |
DO K=1,Nr |
DO j=jMin,jMax |
650 |
DO J=jMin,jMax |
DO i=iMin,iMax |
|
DO I=iMin,iMax |
|
651 |
C impose minimum TKE to avoid numerical undershoots below zero |
C impose minimum TKE to avoid numerical undershoots below zero |
652 |
GGL90TKE(I,J,K,bi,bj) = MAX( gTKE(I,J,K), GGL90TKEmin ) |
GGL90TKE(i,j,k,bi,bj) = maskC(i,j,k,bi,bj) |
653 |
& * maskC(I,J,K,bi,bj) |
& *MAX( GGL90TKE(i,j,k,bi,bj), GGL90TKEmin ) |
654 |
ENDDO |
ENDDO |
655 |
ENDDO |
ENDDO |
656 |
ENDDO |
ENDDO |
658 |
C end of time step |
C end of time step |
659 |
C =============================== |
C =============================== |
660 |
|
|
661 |
DO K=2,Nr |
DO k=2,Nr |
662 |
DO J=1,sNy |
DO j=1,sNy |
663 |
DO I=1,sNx |
DO i=1,sNx |
664 |
#ifdef ALLOW_GGL90_SMOOTH |
#ifdef ALLOW_GGL90_SMOOTH |
665 |
tmpVisc= |
tmpVisc= |
666 |
& ( |
& ( |
685 |
& + maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj)) |
& + maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj)) |
686 |
& )*maskC(i,j,k,bi,bj)*mskCor(i,j,bi,bj) |
& )*maskC(i,j,k,bi,bj)*mskCor(i,j,bi,bj) |
687 |
#else |
#else |
688 |
tmpVisc = GGL90visctmp(I,J,K) |
tmpVisc = GGL90visctmp(i,j,k) |
689 |
#endif |
#endif |
690 |
tmpVisc = MIN(tmpVisc/TKEPrandtlNumber(i,j,k),GGL90diffMax) |
tmpVisc = MIN(tmpVisc/TKEPrandtlNumber(i,j,k),GGL90diffMax) |
691 |
GGL90diffKr(I,J,K,bi,bj)= MAX( tmpVisc , diffKrNrT(k) ) |
GGL90diffKr(i,j,k,bi,bj)= MAX( tmpVisc , diffKrNrS(k) ) |
692 |
ENDDO |
ENDDO |
693 |
ENDDO |
ENDDO |
694 |
ENDDO |
ENDDO |
695 |
|
|
696 |
|
DO k=2,Nr |
697 |
|
DO j=1,sNy |
698 |
DO K=2,Nr |
DO i=1,sNx+1 |
|
DO J=1,sNy |
|
|
DO I=1,sNx+1 |
|
699 |
#ifdef ALLOW_GGL90_SMOOTH |
#ifdef ALLOW_GGL90_SMOOTH |
700 |
tmpVisc = |
tmpVisc = |
701 |
& ( |
& ( |
702 |
& p4 *(GGL90visctmp(i ,j ,k) * mskCor(i ,j ,bi,bj) |
& p4 *(GGL90visctmp(i ,j ,k) * mskCor(i ,j ,bi,bj) |
703 |
& +GGL90visctmp(i-1,j ,k) * mskCor(i-1,j ,bi,bj)) |
& +GGL90visctmp(i-1,j ,k) * mskCor(i-1,j ,bi,bj)) |
720 |
& +GGL90visctmp(i-1,j,k)) |
& +GGL90visctmp(i-1,j,k)) |
721 |
& ) |
& ) |
722 |
#endif |
#endif |
723 |
tmpVisc = MIN( tmpVisc , GGL90viscMax ) |
tmpVisc = MIN( tmpVisc , GGL90viscMax ) |
724 |
GGL90viscArU(i,j,k,bi,bj) = MAX( tmpVisc , viscArNr(k) ) |
GGL90viscArU(i,j,k,bi,bj) = MAX( tmpVisc, viscArNr(k) ) |
725 |
ENDDO |
ENDDO |
726 |
ENDDO |
ENDDO |
727 |
ENDDO |
ENDDO |
728 |
|
|
729 |
|
DO k=2,Nr |
730 |
DO K=2,Nr |
DO j=1,sNy+1 |
731 |
DO J=1,sNy+1 |
DO i=1,sNx |
|
DO I=1,sNx |
|
732 |
#ifdef ALLOW_GGL90_SMOOTH |
#ifdef ALLOW_GGL90_SMOOTH |
733 |
tmpVisc = |
tmpVisc = |
734 |
& ( |
& ( |
755 |
|
|
756 |
#endif |
#endif |
757 |
tmpVisc = MIN( tmpVisc , GGL90viscMax ) |
tmpVisc = MIN( tmpVisc , GGL90viscMax ) |
758 |
GGL90viscArV(i,j,k,bi,bj) = MAX( tmpVisc , viscArNr(k) ) |
GGL90viscArV(i,j,k,bi,bj) = MAX( tmpVisc, viscArNr(k) ) |
759 |
ENDDO |
ENDDO |
760 |
ENDDO |
ENDDO |
761 |
ENDDO |
ENDDO |
762 |
|
|
763 |
#ifdef ALLOW_DIAGNOSTICS |
#ifdef ALLOW_DIAGNOSTICS |
764 |
IF ( useDiagnostics ) THEN |
IF ( useDiagnostics ) THEN |
765 |
CALL DIAGNOSTICS_FILL( GGL90TKE ,'GGL90TKE', |
CALL DIAGNOSTICS_FILL( GGL90TKE ,'GGL90TKE', |
766 |
& 0,Nr, 1, bi, bj, myThid ) |
& 0,Nr, 1, bi, bj, myThid ) |
767 |
CALL DIAGNOSTICS_FILL( GGL90viscArU,'GGL90ArU', |
CALL DIAGNOSTICS_FILL( GGL90viscArU,'GGL90ArU', |
768 |
& 0,Nr, 1, bi, bj, myThid ) |
& 0,Nr, 1, bi, bj, myThid ) |
769 |
CALL DIAGNOSTICS_FILL( GGL90viscArV,'GGL90ArV', |
CALL DIAGNOSTICS_FILL( GGL90viscArV,'GGL90ArV', |
770 |
& 0,Nr, 1, bi, bj, myThid ) |
& 0,Nr, 1, bi, bj, myThid ) |
771 |
CALL DIAGNOSTICS_FILL( GGL90diffKr,'GGL90Kr ', |
CALL DIAGNOSTICS_FILL( GGL90diffKr,'GGL90Kr ', |
772 |
& 0,Nr, 1, bi, bj, myThid ) |
& 0,Nr, 1, bi, bj, myThid ) |
773 |
CALL DIAGNOSTICS_FILL( TKEPrandtlNumber ,'GGL90Prl', |
CALL DIAGNOSTICS_FILL( TKEPrandtlNumber ,'GGL90Prl', |
774 |
& 0,Nr, 2, bi, bj, myThid ) |
& 0,Nr, 2, bi, bj, myThid ) |
775 |
CALL DIAGNOSTICS_FILL( GGL90mixingLength,'GGL90Lmx', |
CALL DIAGNOSTICS_FILL( GGL90mixingLength,'GGL90Lmx', |
776 |
& 0,Nr, 2, bi, bj, myThid ) |
& 0,Nr, 2, bi, bj, myThid ) |
777 |
|
|
778 |
|
kp1 = MIN(Nr,kSurf+1) |
779 |
|
DO j=jMin,jMax |
780 |
|
DO i=iMin,iMax |
781 |
|
C diagnose surface flux of TKE |
782 |
|
surf_flx_tke(i,j) =(GGL90TKE(i,j,kSurf,bi,bj)- |
783 |
|
& GGL90TKE(i,j,kp1,bi,bj)) |
784 |
|
& *recip_drF(kSurf)*recip_hFacC(i,j,kSurf,bi,bj) |
785 |
|
& *KappaE(i,j,kp1) |
786 |
|
ENDDO |
787 |
|
ENDDO |
788 |
|
CALL DIAGNOSTICS_FILL( surf_flx_tke,'GGL90flx', |
789 |
|
& 0, 1, 2, bi, bj, myThid ) |
790 |
|
|
791 |
|
k=kSurf |
792 |
|
DO j=jMin,jMax |
793 |
|
DO i=iMin,iMax |
794 |
|
C diagnose work done by the wind |
795 |
|
surf_flx_tke(i,j) = |
796 |
|
& halfRL*( surfaceForcingU(i, j,bi,bj)*uVel(i ,j,k,bi,bj) |
797 |
|
& +surfaceForcingU(i+1,j,bi,bj)*uVel(i+1,j,k,bi,bj)) |
798 |
|
& + halfRL*( surfaceForcingV(i,j, bi,bj)*vVel(i,j ,k,bi,bj) |
799 |
|
& +surfaceForcingV(i,j+1,bi,bj)*vVel(i,j+1,k,bi,bj)) |
800 |
|
ENDDO |
801 |
|
ENDDO |
802 |
|
CALL DIAGNOSTICS_FILL( surf_flx_tke,'GGL90tau', |
803 |
|
& 0, 1, 2, bi, bj, myThid ) |
804 |
|
|
805 |
ENDIF |
ENDIF |
806 |
#endif |
#endif /* ALLOW_DIAGNOSTICS */ |
807 |
|
|
808 |
#endif /* ALLOW_GGL90 */ |
#endif /* ALLOW_GGL90 */ |
809 |
|
|