/[MITgcm]/MITgcm/pkg/seaice/seaice_calc_strainrates.F
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revision 1.9 by mlosch, Wed Nov 14 15:55:48 2007 UTC revision 1.12 by mlosch, Fri May 29 10:18:02 2009 UTC
# Line 6  C $Name$ Line 6  C $Name$
6  CStartOfInterface  CStartOfInterface
7        SUBROUTINE SEAICE_CALC_STRAINRATES(        SUBROUTINE SEAICE_CALC_STRAINRATES(
8       I     uFld, vFld,       I     uFld, vFld,
9       O     e11, e22, e12,       O     e11Loc, e22Loc, e12Loc,
10       I     kSize, iStep, myTime, myIter, myThid )       I     kSize, iStep, myTime, myIter, myThid )
11  C     /==========================================================\  C     /==========================================================\
12  C     | SUBROUTINE  SEAICE_CALC_STRAINRATES                      |  C     | SUBROUTINE  SEAICE_CALC_STRAINRATES                      |
# Line 22  C     === Global variables === Line 22  C     === Global variables ===
22  #include "PARAMS.h"  #include "PARAMS.h"
23  #include "GRID.h"  #include "GRID.h"
24  #include "SEAICE_PARAMS.h"  #include "SEAICE_PARAMS.h"
25    #include "SEAICE.h"
26    
27  #ifdef ALLOW_AUTODIFF_TAMC  #ifdef ALLOW_AUTODIFF_TAMC
28  # include "tamc.h"  # include "tamc.h"
# Line 42  C     ice velocities Line 43  C     ice velocities
43        _RL uFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,kSize,nSx,nSy)        _RL uFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,kSize,nSx,nSy)
44        _RL vFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,kSize,nSx,nSy)        _RL vFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,kSize,nSx,nSy)
45  C     strain rate tensor  C     strain rate tensor
46        _RL e11 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL e11Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
47        _RL e22 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL e22Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
48        _RL e12 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL e12Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
49  CEndOfInterface  CEndOfInterface
50    
51  #ifdef SEAICE_CGRID  #ifdef SEAICE_CGRID
# Line 54  C     i,j,bi,bj - Loop counters Line 55  C     i,j,bi,bj - Loop counters
55        INTEGER i, j, bi, bj        INTEGER i, j, bi, bj
56  C  hFacU, hFacV - determine the no-slip boundary condition  C  hFacU, hFacV - determine the no-slip boundary condition
57        INTEGER k        INTEGER k
58        _RS hFacU, hFacV        _RS hFacU, hFacV, noSlipFac
59    
60        k = 1        k = 1
61          noSlipFac = 0. _d 0
62          IF ( SEAICE_no_slip ) noSlipFac = 1. _d 0
63  C  C
64    #ifndef SEAICE_OLD_AND_BAD_DISCRETIZATION
65        DO bj=myByLo(myThid),myByHi(myThid)        DO bj=myByLo(myThid),myByHi(myThid)
66         DO bi=myBxLo(myThid),myBxHi(myThid)         DO bi=myBxLo(myThid),myBxHi(myThid)
67          DO j=1-Oly,sNy+Oly-1          DO j=1-Oly,sNy+Oly-1
68           DO i=1-Olx,sNx+Olx-1           DO i=1-Olx,sNx+Olx-1
69  C     evaluate strain rates  C     evaluate strain rates
70            e11(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *            e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *
71         &         (uFld(I+1,J,1,bi,bj)-uFld(I,J,1,bi,bj))
72         &         +HALF*
73         &         (vFld(I,J,1,bi,bj)+vFld(I,J+1,1,bi,bj))
74         &         * k2AtC(I,J,bi,bj)
75              e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *
76         &         (vFld(I,J+1,1,bi,bj)-vFld(I,J,1,bi,bj))
77         &         +HALF*
78         &         (uFld(I,J,1,bi,bj)+uFld(I+1,J,1,bi,bj))
79         &         * k1AtC(I,J,bi,bj)
80    C     one metric term is missing
81             ENDDO
82            ENDDO
83            DO j=1-Oly+1,sNy+Oly
84             DO i=1-Olx+1,sNx+Olx
85              hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)
86              hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)
87              e12Loc(I,J,bi,bj) = HALF*(
88         &           ( uFld(I,J,1,bi,bj) - uFld(I  ,J-1,1,bi,bj) )
89         &         * _recip_dyU(I,J,bi,bj)
90         &         + ( vFld(I,J,1,bi,bj) - vFld(I-1,J  ,1,bi,bj) )
91         &         * _recip_dxV(I,J,bi,bj)
92         &         - k1AtZ(I,J,bi,bj)
93         &         * 0.5 _d 0 * (vFld(I,J,1,bi,bj)+vFld(I-1,J  ,1,bi,bj))
94         &         - k2AtZ(I,J,bi,bj)
95         &         * 0.5 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I  ,J-1,1,bi,bj))
96         &         )
97         &         *maskC(I  ,J  ,k,bi,bj)*maskC(I-1,J  ,k,bi,bj)
98         &         *maskC(I  ,J-1,k,bi,bj)*maskC(I-1,J-1,k,bi,bj)
99         &         + 2.0 _d 0 * noSlipFac * (
100         &           ( uFld(I,J,1,bi,bj) + uFld(I  ,J-1,1,bi,bj) )
101         &         * _recip_dyU(I,J,bi,bj) * hFacU
102         &         + ( vFld(I,J,1,bi,bj) + vFld(I-1,J  ,1,bi,bj) )
103         &         * _recip_dxV(I,J,bi,bj) * hFacV
104         &         )
105    C     no slip at the boundary implies u(j)+u(j-1)=0 and v(i)+v(i-1)=0
106    C     accross the boundary; this is already accomplished by masking so
107    C     that the following lines are not necessary
108    c$$$     &         - hFacV * k1AtZ(I,J,bi,bj)
109    c$$$     &         * 0.5 _d 0 * (vFld(I,J,1,bi,bj)+vFld(I-1,J  ,1,bi,bj))
110    c$$$     &         - hFacU * k2AtZ(I,J,bi,bj)
111    c$$$     &         * 0.5 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I  ,J-1,1,bi,bj))
112             ENDDO
113            ENDDO
114    
115    c$$$        ENDIF
116           ENDDO
117          ENDDO
118    #else
119    C     this the old and incomplete discretization, here I also erroneously
120    C     used finite-volumes to discretize the strain rates
121          DO bj=myByLo(myThid),myByHi(myThid)
122           DO bi=myBxLo(myThid),myBxHi(myThid)
123            DO j=1-Oly,sNy+Oly-1
124             DO i=1-Olx,sNx+Olx-1
125    C     evaluate strain rates
126              e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *
127       &         (uFld(I+1,J,1,bi,bj)-uFld(I,J,1,bi,bj))       &         (uFld(I+1,J,1,bi,bj)-uFld(I,J,1,bi,bj))
128       &         -HALF*       &         -HALF*
129       &         (vFld(I,J,1,bi,bj)+vFld(I,J+1,1,bi,bj))       &         (vFld(I,J,1,bi,bj)+vFld(I,J+1,1,bi,bj))
130       &         * _tanPhiAtU(I,J,bi,bj)*recip_rSphere       &         * _tanPhiAtU(I,J,bi,bj)*recip_rSphere
131            e22(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *            e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *
132       &         (vFld(I,J+1,1,bi,bj)-vFld(I,J,1,bi,bj))       &         (vFld(I,J+1,1,bi,bj)-vFld(I,J,1,bi,bj))
133  C     one metric term is missing  C     one metric term is missing
134           ENDDO           ENDDO
135          ENDDO          ENDDO
136          DO j=1-Oly+1,sNy+Oly          DO j=1-Oly+1,sNy+Oly
137           DO i=1-Olx+1,sNx+Olx           DO i=1-Olx+1,sNx+Olx
138            e12(I,J,bi,bj) = HALF*(            e12Loc(I,J,bi,bj) = HALF*(
139       &         (uFld(I  ,J  ,1,bi,bj) * _dxC(I  ,J  ,bi,bj)       &         (uFld(I  ,J  ,1,bi,bj) * _dxC(I  ,J  ,bi,bj)
140       &         -uFld(I  ,J-1,1,bi,bj) * _dxC(I  ,J-1,bi,bj)       &         -uFld(I  ,J-1,1,bi,bj) * _dxC(I  ,J-1,bi,bj)
141       &         +vFld(I  ,J  ,1,bi,bj) * _dyC(I  ,J  ,bi,bj)       &         +vFld(I  ,J  ,1,bi,bj) * _dyC(I  ,J  ,bi,bj)
# Line 92  C     one metric term is missing Line 152  C     one metric term is missing
152           ENDDO           ENDDO
153          ENDDO          ENDDO
154          IF ( SEAICE_no_slip ) THEN          IF ( SEAICE_no_slip ) THEN
155  C     no slip boundary conditions apply only to e12  C     no slip boundary conditions apply only to e12Loc
156           DO j=1-Oly+1,sNy+Oly           DO j=1-Oly+1,sNy+Oly
157            DO i=1-Olx+1,sNx+Olx            DO i=1-Olx+1,sNx+Olx
158             hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)             hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)
159             hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)             hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)
160    
161             e12(I,J,bi,bj) = e12(I,J,bi,bj)             e12Loc(I,J,bi,bj) = e12Loc(I,J,bi,bj)
162       &          + recip_rAz(i,j,bi,bj) *       &          + recip_rAz(i,j,bi,bj) * 2. _d 0 *
163       &          ( hFacU * ( _dxC(i,j-1,bi,bj)*uFld(i,j  ,1,bi,bj)       &          ( hFacU * ( _dxC(i,j-1,bi,bj)*uFld(i,j  ,1,bi,bj)
164       &                    + _dxC(i,j,  bi,bj)*uFld(i,j-1,1,bi,bj) )       &                    + _dxC(i,j,  bi,bj)*uFld(i,j-1,1,bi,bj) )
165       &          + hFacV * ( _dyC(i-1,j,bi,bj)*vFld(i  ,j,1,bi,bj)       &          + hFacV * ( _dyC(i-1,j,bi,bj)*vFld(i  ,j,1,bi,bj)
# Line 115  C     one metric term is missing Line 175  C     one metric term is missing
175          ENDIF          ENDIF
176         ENDDO         ENDDO
177        ENDDO        ENDDO
178    #endif /* SEAICE_OLD_AND_BAD_DISCRETIZATION */
179  #endif /* SEAICE_ALLOW_DYNAMICS */  #endif /* SEAICE_ALLOW_DYNAMICS */
180  #endif /* SEAICE_CGRID */  #endif /* SEAICE_CGRID */
181        RETURN        RETURN
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