/[MITgcm]/MITgcm/pkg/seaice/seaice_calc_strainrates.F
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revision 1.14 by mlosch, Wed Jun 24 08:23:38 2009 UTC revision 1.17 by mlosch, Fri Nov 5 08:13:03 2010 UTC
# Line 51  CEndOfInterface Line 51  CEndOfInterface
51  C     === Local variables ===  C     === Local variables ===
52  C     i,j,bi,bj - Loop counters  C     i,j,bi,bj - Loop counters
53        INTEGER i, j, bi, bj        INTEGER i, j, bi, bj
54  C  hFacU, hFacV - determine the no-slip boundary condition  C     hFacU, hFacV - determine the no-slip boundary condition
55        INTEGER k        INTEGER k
56        _RS hFacU, hFacV, noSlipFac        _RS hFacU, hFacV, noSlipFac
57    C     auxillary variables that help writing code that
58    C     vectorizes even after TAFization
59          _RL dudx (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
60          _RL dvdy (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
61          _RL dudy (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
62          _RL dvdx (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
63          _RL uave (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
64          _RL vave (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
65    
66        k = 1        k = 1
67        noSlipFac = 0. _d 0        noSlipFac = 0. _d 0
68        IF ( SEAICE_no_slip ) noSlipFac = 1. _d 0        IF ( SEAICE_no_slip ) noSlipFac = 1. _d 0
69  C  C
 #ifndef SEAICE_OLD_AND_BAD_DISCRETIZATION  
70        DO bj=myByLo(myThid),myByHi(myThid)        DO bj=myByLo(myThid),myByHi(myThid)
71         DO bi=myBxLo(myThid),myBxHi(myThid)         DO bi=myBxLo(myThid),myBxHi(myThid)
72    C     abbreviations on C-points, need to do them in separate loops
73    C     for vectorization
74          DO j=1-Oly,sNy+Oly-1          DO j=1-Oly,sNy+Oly-1
75           DO i=1-Olx,sNx+Olx-1           DO i=1-Olx,sNx+Olx-1
76  C     evaluate strain rates            dudx(I,J) = _recip_dxF(I,J,bi,bj) *
           e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *  
77       &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))       &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))
78       &         +HALF*            uave(I,J) = 0.5 _d 0 * (uFld(I,J,bi,bj)+uFld(I+1,J,bi,bj))
79       &         (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))           ENDDO
80       &         * k2AtC(I,J,bi,bj)          ENDDO
81            e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *          DO j=1-Oly,sNy+Oly-1
82             DO i=1-Olx,sNx+Olx-1
83              dvdy(I,J) = _recip_dyF(I,J,bi,bj) *
84       &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))       &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))
85       &         +HALF*            vave(I,J) = 0.5 _d 0 * (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))
86       &         (uFld(I,J,bi,bj)+uFld(I+1,J,bi,bj))           ENDDO
87       &         * k1AtC(I,J,bi,bj)          ENDDO
88    C     evaluate strain rates at C-points
89            DO j=1-Oly,sNy+Oly-1
90             DO i=1-Olx,sNx+Olx-1
91              e11Loc(I,J,bi,bj) = dudx(I,J) + vave(I,J) * k2AtC(I,J,bi,bj)
92              e22Loc(I,J,bi,bj) = dvdy(I,J) + uave(I,J) * k1AtC(I,J,bi,bj)
93           ENDDO           ENDDO
94          ENDDO          ENDDO
95    C     abbreviations at Z-points, need to do them in separate loops
96    C     for vectorization
97          DO j=1-Oly+1,sNy+Oly          DO j=1-Oly+1,sNy+Oly
98           DO i=1-Olx+1,sNx+Olx           DO i=1-Olx+1,sNx+Olx
99            hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)            dudy(I,J) = ( uFld(I,J,bi,bj) - uFld(I  ,J-1,bi,bj) )
           hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)  
           e12Loc(I,J,bi,bj) = HALF*(  
      &           ( uFld(I,J,bi,bj) - uFld(I  ,J-1,bi,bj) )  
100       &         * _recip_dyU(I,J,bi,bj)       &         * _recip_dyU(I,J,bi,bj)
101       &         + ( vFld(I,J,bi,bj) - vFld(I-1,J  ,bi,bj) )            uave(I,J) = 0.5 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))
102             ENDDO
103            ENDDO
104            DO j=1-Oly+1,sNy+Oly
105             DO i=1-Olx+1,sNx+Olx
106              dvdx(I,J) = ( vFld(I,J,bi,bj) - vFld(I-1,J  ,bi,bj) )
107       &         * _recip_dxV(I,J,bi,bj)       &         * _recip_dxV(I,J,bi,bj)
108       &         - k1AtZ(I,J,bi,bj)            vave(I,J) = 0.5 _d 0 * (vFld(I,J,bi,bj)+vFld(I-1,J  ,bi,bj))
109       &         * 0.5 _d 0 * (vFld(I,J,bi,bj)+vFld(I-1,J  ,bi,bj))           ENDDO
110       &         - k2AtZ(I,J,bi,bj)          ENDDO
111       &         * 0.5 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))  C     evaluate strain rates at Z-points
112            DO j=1-Oly+1,sNy+Oly
113             DO i=1-Olx+1,sNx+Olx
114              hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)
115              hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)
116              e12Loc(I,J,bi,bj) = 0.5 _d 0 * (
117         &         dudy(I,J) + dvdx(I,J)
118         &         - k1AtZ(I,J,bi,bj) * vave(I,J)
119         &         - k2AtZ(I,J,bi,bj) * uave(I,J)
120       &         )       &         )
121       &         *maskC(I  ,J  ,k,bi,bj)*maskC(I-1,J  ,k,bi,bj)       &         *maskC(I  ,J  ,k,bi,bj)*maskC(I-1,J  ,k,bi,bj)
122       &         *maskC(I  ,J-1,k,bi,bj)*maskC(I-1,J-1,k,bi,bj)       &         *maskC(I  ,J-1,k,bi,bj)*maskC(I-1,J-1,k,bi,bj)
123       &         + 2.0 _d 0 * noSlipFac * (       &         + 2.0 _d 0 * noSlipFac * (
124       &           ( uFld(I,J,bi,bj) + uFld(I  ,J-1,bi,bj) )       &           2.0 _d 0 * uave(I,J) * _recip_dyU(I,J,bi,bj) * hFacU
125       &         * _recip_dyU(I,J,bi,bj) * hFacU       &         + 2.0 _d 0 * vave(I,J) * _recip_dxV(I,J,bi,bj) * hFacV
      &         + ( vFld(I,J,bi,bj) + vFld(I-1,J  ,bi,bj) )  
      &         * _recip_dxV(I,J,bi,bj) * hFacV  
126       &         )       &         )
127  C     no slip at the boundary implies u(j)+u(j-1)=0 and v(i)+v(i-1)=0  C     no slip at the boundary implies u(j)+u(j-1)=0 and v(i)+v(i-1)=0
128  C     accross the boundary; this is already accomplished by masking so  C     accross the boundary; this is already accomplished by masking so
129  C     that the following lines are not necessary  C     that the following lines are not necessary
130  c$$$     &         - hFacV * k1AtZ(I,J,bi,bj)  c$$$     &         - hFacV * k1AtZ(I,J,bi,bj) * vave(I,J)
131  c$$$     &         * 0.5 _d 0 * (vFld(I,J,bi,bj)+vFld(I-1,J  ,bi,bj))  c$$$     &         - hFacU * k2AtZ(I,J,bi,bj) * uave(I,J)
 c$$$     &         - hFacU * k2AtZ(I,J,bi,bj)  
 c$$$     &         * 0.5 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))  
132           ENDDO           ENDDO
133          ENDDO          ENDDO
134    
 c$$$        ENDIF  
135         ENDDO         ENDDO
136        ENDDO        ENDDO
 #else  
 C     this the old and incomplete discretization, here I also erroneously  
 C     used finite-volumes to discretize the strain rates  
       DO bj=myByLo(myThid),myByHi(myThid)  
        DO bi=myBxLo(myThid),myBxHi(myThid)  
         DO j=1-Oly,sNy+Oly-1  
          DO i=1-Olx,sNx+Olx-1  
 C     evaluate strain rates  
           e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *  
      &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))  
      &         -HALF*  
      &         (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))  
      &         * _tanPhiAtU(I,J,bi,bj)*recip_rSphere  
           e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *  
      &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))  
 C     one metric term is missing  
          ENDDO  
         ENDDO  
         DO j=1-Oly+1,sNy+Oly  
          DO i=1-Olx+1,sNx+Olx  
           e12Loc(I,J,bi,bj) = HALF*(  
      &         (uFld(I  ,J  ,bi,bj) * _dxC(I  ,J  ,bi,bj)  
      &         -uFld(I  ,J-1,bi,bj) * _dxC(I  ,J-1,bi,bj)  
      &         +vFld(I  ,J  ,bi,bj) * _dyC(I  ,J  ,bi,bj)  
      &         -vFld(I-1,J  ,bi,bj) * _dyC(I-1,J  ,bi,bj))  
      &         * recip_rAz(I,J,bi,bj)  
      &         +  
      &         0.25 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))  
      &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )  
      &         *recip_rSphere  
      &         )  
      &         *maskC(I  ,J  ,k,bi,bj)*maskC(I-1,J  ,k,bi,bj)  
      &         *maskC(I  ,J-1,k,bi,bj)*maskC(I-1,J-1,k,bi,bj)  
 C     one metric term is missing  
          ENDDO  
         ENDDO  
         IF ( SEAICE_no_slip ) THEN  
 C     no slip boundary conditions apply only to e12Loc  
          DO j=1-Oly+1,sNy+Oly  
           DO i=1-Olx+1,sNx+Olx  
            hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)  
            hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)  
137    
138             e12Loc(I,J,bi,bj) = e12Loc(I,J,bi,bj)  #ifdef ALLOW_AUTODIFF_TAMC
139       &          + recip_rAz(i,j,bi,bj) * 2. _d 0 *  #ifdef SEAICE_DYN_STABLE_ADJOINT
140       &          ( hFacU * ( _dxC(i,j-1,bi,bj)*uFld(i,j  ,bi,bj)  cgf zero out adjoint fields to stabilize pkg/seaice dyna. adjoint
141       &                    + _dxC(i,j,  bi,bj)*uFld(i,j-1,bi,bj) )        CALL ZERO_ADJ( 1, e11Loc, myThid)
142       &          + hFacV * ( _dyC(i-1,j,bi,bj)*vFld(i  ,j,bi,bj)        CALL ZERO_ADJ( 1, e12Loc, myThid)
143       &                    + _dyC(i,  j,bi,bj)*vFld(i-1,j,bi,bj) ) )        CALL ZERO_ADJ( 1, e22Loc, myThid)
144       &         - hFacU  #endif
145       &         * 0.25 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))  #endif /* ALLOW_AUTODIFF_TAMC */
      &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )  
      &         *recip_rSphere  
 C     one metric term is missing  
           ENDDO  
          ENDDO  
146    
         ENDIF  
        ENDDO  
       ENDDO  
 #endif /* SEAICE_OLD_AND_BAD_DISCRETIZATION */  
147  #endif /* SEAICE_ALLOW_DYNAMICS */  #endif /* SEAICE_ALLOW_DYNAMICS */
148  #endif /* SEAICE_CGRID */  #endif /* SEAICE_CGRID */
149        RETURN        RETURN
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