1 |
C $Header: /u/gcmpack/MITgcm/model/src/timestep.F,v 1.27 2001/09/26 18:09:16 cnh Exp $ |
2 |
C $Name: $ |
3 |
|
4 |
#include "CPP_OPTIONS.h" |
5 |
|
6 |
CBOP |
7 |
C !ROUTINE: TIMESTEP |
8 |
C !INTERFACE: |
9 |
SUBROUTINE TIMESTEP( bi, bj, iMin, iMax, jMin, jMax, K, |
10 |
I phiHyd, phiSurfX, phiSurfY, |
11 |
I myIter, myThid ) |
12 |
C !DESCRIPTION: \bv |
13 |
C *==========================================================* |
14 |
C | S/R TIMESTEP |
15 |
C | o Step model fields forward in time |
16 |
C *==========================================================* |
17 |
C \ev |
18 |
|
19 |
C !USES: |
20 |
IMPLICIT NONE |
21 |
C == Global variables == |
22 |
#include "SIZE.h" |
23 |
#include "DYNVARS.h" |
24 |
#include "EEPARAMS.h" |
25 |
#include "PARAMS.h" |
26 |
#include "GRID.h" |
27 |
#include "SURFACE.h" |
28 |
|
29 |
C !INPUT/OUTPUT PARAMETERS: |
30 |
C == Routine Arguments == |
31 |
C phiHyd - Hydrostatic Potential (ocean: pressure/rho) |
32 |
C (atmos: geopotentiel) |
33 |
C phiSurfX, - gradient of Surface potentiel (Pressure/rho, ocean) |
34 |
C phiSurfY or geopotentiel (atmos) in X and Y direction |
35 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
36 |
INTEGER K |
37 |
_RL phiHyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
38 |
_RL phiSurfX(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
39 |
_RL phiSurfY(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
40 |
INTEGER myIter, myThid |
41 |
|
42 |
C !LOCAL VARIABLES: |
43 |
C == Local variables == |
44 |
INTEGER i,j |
45 |
_RL ab15,ab05 |
46 |
_RL phxFac,phyFac, psFac |
47 |
_RL gUtmp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
48 |
_RL gVtmp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
49 |
CEOP |
50 |
|
51 |
C Adams-Bashforth timestepping weights |
52 |
IF (myIter .EQ. 0) THEN |
53 |
ab15=1.0 |
54 |
ab05=0.0 |
55 |
ELSE |
56 |
ab15=1.5+abeps |
57 |
ab05=-0.5-abeps |
58 |
ENDIF |
59 |
|
60 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
61 |
C- Compute effective gU term (including Adams-Bashforth weights) : |
62 |
DO j=jMin,jMax |
63 |
DO i=iMin,iMax |
64 |
gUtmp(i,j) = ab15*gU(i,j,k,bi,bj) |
65 |
& + ab05*gUNm1(i,j,k,bi,bj) |
66 |
#ifdef INCLUDE_CD_CODE |
67 |
& + guCD(i,j,k,bi,bj) |
68 |
#endif |
69 |
ENDDO |
70 |
ENDDO |
71 |
|
72 |
#ifdef NONLIN_FRSURF |
73 |
IF (.NOT. vectorInvariantMomentum |
74 |
& .AND. nonlinFreeSurf.GT.1) THEN |
75 |
IF (select_rStar.GT.0) THEN |
76 |
DO j=jMin,jMax |
77 |
DO i=iMin,iMax |
78 |
gUtmp(i,j) = gUtmp(i,j)/rStarExpW(i,j,bi,bj) |
79 |
ENDDO |
80 |
ENDDO |
81 |
ELSE |
82 |
DO j=jMin,jMax |
83 |
DO i=iMin,iMax |
84 |
IF ( k.EQ.ksurfW(i,j,bi,bj) ) THEN |
85 |
gUtmp(i,j) = gUtmp(i,j) |
86 |
& *hFacW(i,j,k,bi,bj)/hFac_surfW(i,j,bi,bj) |
87 |
ENDIF |
88 |
ENDDO |
89 |
ENDDO |
90 |
ENDIF |
91 |
ENDIF |
92 |
#endif |
93 |
|
94 |
C Step forward zonal velocity (store in Gu) |
95 |
psFac = pfFacMom*(1. _d 0 - implicSurfPress) |
96 |
DO j=jMin,jMax |
97 |
DO i=iMin,iMax |
98 |
gUNm1(i,j,k,bi,bj) = uVel(i,j,k,bi,bj) |
99 |
& +deltaTmom*( |
100 |
& gUtmp(i,j) |
101 |
& - psFac*phiSurfX(i,j) |
102 |
& )*_maskW(i,j,k,bi,bj) |
103 |
ENDDO |
104 |
ENDDO |
105 |
|
106 |
IF (staggerTimeStep) THEN |
107 |
C-- -grad Phi_Hyd has not been incorporated to gU and is added here: |
108 |
phxFac = pfFacMom*deltaTmom |
109 |
DO j=jMin,jMax |
110 |
DO i=iMin,iMax |
111 |
gUNm1(i,j,k,bi,bj)=gUNm1(i,j,k,bi,bj) |
112 |
& - _recip_dxC(i,j,bi,bj) |
113 |
& *(phiHyd(i,j,k)-phiHyd(i-1,j,k))*phxFac |
114 |
& *_maskW(i,j,k,bi,bj) |
115 |
ENDDO |
116 |
ENDDO |
117 |
ENDIF |
118 |
|
119 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
120 |
C- Compute effective gV term (including Adams-Bashforth weights) : |
121 |
DO j=jMin,jMax |
122 |
DO i=iMin,iMax |
123 |
gVtmp(i,j) = ab15*gV(i,j,k,bi,bj) |
124 |
& + ab05*gVNm1(i,j,k,bi,bj) |
125 |
#ifdef INCLUDE_CD_CODE |
126 |
& + gvCD(i,j,k,bi,bj) |
127 |
#endif |
128 |
ENDDO |
129 |
ENDDO |
130 |
|
131 |
#ifdef NONLIN_FRSURF |
132 |
IF (.NOT. vectorInvariantMomentum |
133 |
& .AND. nonlinFreeSurf.GT.1) THEN |
134 |
IF (select_rStar.GT.0) THEN |
135 |
DO j=jMin,jMax |
136 |
DO i=iMin,iMax |
137 |
gVtmp(i,j) = gVtmp(i,j)/rStarExpS(i,j,bi,bj) |
138 |
ENDDO |
139 |
ENDDO |
140 |
ELSE |
141 |
DO j=jMin,jMax |
142 |
DO i=iMin,iMax |
143 |
IF ( k.EQ.ksurfS(i,j,bi,bj) ) THEN |
144 |
gVtmp(i,j) = gVtmp(i,j) |
145 |
& *hFacS(i,j,k,bi,bj)/hFac_surfS(i,j,bi,bj) |
146 |
ENDIF |
147 |
ENDDO |
148 |
ENDDO |
149 |
ENDIF |
150 |
ENDIF |
151 |
#endif |
152 |
|
153 |
C Step forward meridional velocity (store in Gv) |
154 |
psFac = pfFacMom*(1. _d 0 - implicSurfPress) |
155 |
DO j=jMin,jMax |
156 |
DO i=iMin,iMax |
157 |
gVNm1(i,j,k,bi,bj) = vVel(i,j,k,bi,bj) |
158 |
& +deltaTmom*( |
159 |
& gVtmp(i,j) |
160 |
& - psFac*phiSurfY(i,j) |
161 |
& )*_maskS(i,j,k,bi,bj) |
162 |
ENDDO |
163 |
ENDDO |
164 |
|
165 |
IF (staggerTimeStep) THEN |
166 |
C-- -grad Phi_Hyd has not been incorporated to gV and is added here: |
167 |
phyFac = pfFacMom*deltaTmom |
168 |
DO j=jMin,jMax |
169 |
DO i=iMin,iMax |
170 |
gVNm1(i,j,k,bi,bj)=gVNm1(i,j,k,bi,bj) |
171 |
& - _recip_dyC(i,j,bi,bj) |
172 |
& *(phiHyd(i,j,k)-phiHyd(i,j-1,k))*phyFac |
173 |
& *_maskS(i,j,k,bi,bj) |
174 |
ENDDO |
175 |
ENDDO |
176 |
ENDIF |
177 |
|
178 |
RETURN |
179 |
END |