/[MITgcm]/MITgcm/pkg/seaice/seaice_calc_strainrates.F
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revision 1.13 by mlosch, Wed Jun 3 08:48:07 2009 UTC revision 1.15 by mlosch, Fri Oct 23 08:10:16 2009 UTC
# Line 7  CStartOfInterface Line 7  CStartOfInterface
7        SUBROUTINE SEAICE_CALC_STRAINRATES(        SUBROUTINE SEAICE_CALC_STRAINRATES(
8       I     uFld, vFld,       I     uFld, vFld,
9       O     e11Loc, e22Loc, e12Loc,       O     e11Loc, e22Loc, e12Loc,
10       I     kSize, iStep, myTime, myIter, myThid )       I     iStep, myTime, myIter, myThid )
11  C     /==========================================================\  C     /==========================================================\
12  C     | SUBROUTINE  SEAICE_CALC_STRAINRATES                      |  C     | SUBROUTINE  SEAICE_CALC_STRAINRATES                      |
13  C     | o compute strain rates from ice velocities               |  C     | o compute strain rates from ice velocities               |
# Line 33  C     iStep  :: Sub-time-step number Line 33  C     iStep  :: Sub-time-step number
33  C     myTime :: Simulation time  C     myTime :: Simulation time
34  C     myIter :: Simulation timestep number  C     myIter :: Simulation timestep number
35  C     myThid :: My Thread Id. number  C     myThid :: My Thread Id. number
 C     kSize  :: length of 3rd dimension of velocity variables  
36        INTEGER iStep        INTEGER iStep
37        _RL     myTime        _RL     myTime
38        INTEGER myIter        INTEGER myIter
39        INTEGER myThid        INTEGER myThid
       INTEGER kSize  
40  C     ice velocities  C     ice velocities
41        _RL uFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,kSize,nSx,nSy)        _RL uFld   (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy)
42        _RL vFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,kSize,nSx,nSy)        _RL vFld   (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy)
43  C     strain rate tensor  C     strain rate tensor
44        _RL e11Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL e11Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
45        _RL e22Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL e22Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
# Line 53  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
# Line 64  C Line 70  C
70  #ifndef SEAICE_OLD_AND_BAD_DISCRETIZATION  #ifndef SEAICE_OLD_AND_BAD_DISCRETIZATION
71        DO bj=myByLo(myThid),myByHi(myThid)        DO bj=myByLo(myThid),myByHi(myThid)
72         DO bi=myBxLo(myThid),myBxHi(myThid)         DO bi=myBxLo(myThid),myBxHi(myThid)
73    C     abbreviations on C-points, need to do them in separate loops
74    C     for vectorization
75          DO j=1-Oly,sNy+Oly-1          DO j=1-Oly,sNy+Oly-1
76           DO i=1-Olx,sNx+Olx-1           DO i=1-Olx,sNx+Olx-1
77  C     evaluate strain rates            dudx(I,J) = _recip_dxF(I,J,bi,bj) *
78            e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *       &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))
79       &         (uFld(I+1,J,1,bi,bj)-uFld(I,J,1,bi,bj))            uave(I,J) = 0.5 _d 0 * (uFld(I,J,bi,bj)+uFld(I+1,J,bi,bj))
80       &         +HALF*           ENDDO
81       &         (vFld(I,J,1,bi,bj)+vFld(I,J+1,1,bi,bj))          ENDDO
82       &         * k2AtC(I,J,bi,bj)          DO j=1-Oly,sNy+Oly-1
83            e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *           DO i=1-Olx,sNx+Olx-1
84       &         (vFld(I,J+1,1,bi,bj)-vFld(I,J,1,bi,bj))            dvdy(I,J) = _recip_dyF(I,J,bi,bj) *
85       &         +HALF*       &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))
86       &         (uFld(I,J,1,bi,bj)+uFld(I+1,J,1,bi,bj))            vave(I,J) = 0.5 _d 0 * (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))
87       &         * k1AtC(I,J,bi,bj)           ENDDO
88            ENDDO
89    C     evaluate strain rates at C-points
90            DO j=1-Oly,sNy+Oly-1
91             DO i=1-Olx,sNx+Olx-1
92              e11Loc(I,J,bi,bj) = dudx(I,J) + vave(I,J) * k2AtC(I,J,bi,bj)
93              e22Loc(I,J,bi,bj) = dvdy(I,J) + uave(I,J) * k1AtC(I,J,bi,bj)
94           ENDDO           ENDDO
95          ENDDO          ENDDO
96    C     abbreviations at Z-points, need to do them in separate loops
97    C     for vectorization
98          DO j=1-Oly+1,sNy+Oly          DO j=1-Oly+1,sNy+Oly
99           DO i=1-Olx+1,sNx+Olx           DO i=1-Olx+1,sNx+Olx
100            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,1,bi,bj) - uFld(I  ,J-1,1,bi,bj) )  
101       &         * _recip_dyU(I,J,bi,bj)       &         * _recip_dyU(I,J,bi,bj)
102       &         + ( vFld(I,J,1,bi,bj) - vFld(I-1,J  ,1,bi,bj) )            uave(I,J) = 0.5 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))
103             ENDDO
104            ENDDO
105            DO j=1-Oly+1,sNy+Oly
106             DO i=1-Olx+1,sNx+Olx
107              dvdx(I,J) = ( vFld(I,J,bi,bj) - vFld(I-1,J  ,bi,bj) )
108       &         * _recip_dxV(I,J,bi,bj)       &         * _recip_dxV(I,J,bi,bj)
109       &         - k1AtZ(I,J,bi,bj)            vave(I,J) = 0.5 _d 0 * (vFld(I,J,bi,bj)+vFld(I-1,J  ,bi,bj))
110       &         * 0.5 _d 0 * (vFld(I,J,1,bi,bj)+vFld(I-1,J  ,1,bi,bj))           ENDDO
111       &         - k2AtZ(I,J,bi,bj)          ENDDO
112       &         * 0.5 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I  ,J-1,1,bi,bj))  C     evaluate strain rates at Z-points
113            DO j=1-Oly+1,sNy+Oly
114             DO i=1-Olx+1,sNx+Olx
115              hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)
116              hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)
117              e12Loc(I,J,bi,bj) = 0.5 _d 0 * (
118         &         dudy(I,J) + dvdx(I,J)
119         &         - k1AtZ(I,J,bi,bj) * vave(I,J)
120         &         - k2AtZ(I,J,bi,bj) * uave(I,J)
121       &         )       &         )
122       &         *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)
123       &         *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)
124       &         + 2.0 _d 0 * noSlipFac * (       &         + 2.0 _d 0 * noSlipFac * (
125       &           ( uFld(I,J,1,bi,bj) + uFld(I  ,J-1,1,bi,bj) )       &           2.0 _d 0 * uave(I,J) * _recip_dyU(I,J,bi,bj) * hFacU
126       &         * _recip_dyU(I,J,bi,bj) * hFacU       &         + 2.0 _d 0 * vave(I,J) * _recip_dxV(I,J,bi,bj) * hFacV
      &         + ( vFld(I,J,1,bi,bj) + vFld(I-1,J  ,1,bi,bj) )  
      &         * _recip_dxV(I,J,bi,bj) * hFacV  
127       &         )       &         )
128  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
129  C     accross the boundary; this is already accomplished by masking so  C     accross the boundary; this is already accomplished by masking so
130  C     that the following lines are not necessary  C     that the following lines are not necessary
131  c$$$     &         - hFacV * k1AtZ(I,J,bi,bj)  c$$$     &         - hFacV * k1AtZ(I,J,bi,bj) * vave(I,J)
132  c$$$     &         * 0.5 _d 0 * (vFld(I,J,1,bi,bj)+vFld(I-1,J  ,1,bi,bj))  c$$$     &         - hFacU * k2AtZ(I,J,bi,bj) * uave(I,J)
 c$$$     &         - hFacU * k2AtZ(I,J,bi,bj)  
 c$$$     &         * 0.5 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I  ,J-1,1,bi,bj))  
133           ENDDO           ENDDO
134          ENDDO          ENDDO
135    
 c$$$        ENDIF  
136         ENDDO         ENDDO
137        ENDDO        ENDDO
138  #else  #else
# Line 123  C     used finite-volumes to discretize Line 144  C     used finite-volumes to discretize
144           DO i=1-Olx,sNx+Olx-1           DO i=1-Olx,sNx+Olx-1
145  C     evaluate strain rates  C     evaluate strain rates
146            e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *            e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *
147       &         (uFld(I+1,J,1,bi,bj)-uFld(I,J,1,bi,bj))       &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))
148       &         -HALF*       &         -HALF*
149       &         (vFld(I,J,1,bi,bj)+vFld(I,J+1,1,bi,bj))       &         (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))
150       &         * _tanPhiAtU(I,J,bi,bj)*recip_rSphere       &         * _tanPhiAtU(I,J,bi,bj)*recip_rSphere
151            e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *            e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *
152       &         (vFld(I,J+1,1,bi,bj)-vFld(I,J,1,bi,bj))       &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))
153  C     one metric term is missing  C     one metric term is missing
154           ENDDO           ENDDO
155          ENDDO          ENDDO
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            e12Loc(I,J,bi,bj) = HALF*(            e12Loc(I,J,bi,bj) = HALF*(
159       &         (uFld(I  ,J  ,1,bi,bj) * _dxC(I  ,J  ,bi,bj)       &         (uFld(I  ,J  ,bi,bj) * _dxC(I  ,J  ,bi,bj)
160       &         -uFld(I  ,J-1,1,bi,bj) * _dxC(I  ,J-1,bi,bj)       &         -uFld(I  ,J-1,bi,bj) * _dxC(I  ,J-1,bi,bj)
161       &         +vFld(I  ,J  ,1,bi,bj) * _dyC(I  ,J  ,bi,bj)       &         +vFld(I  ,J  ,bi,bj) * _dyC(I  ,J  ,bi,bj)
162       &         -vFld(I-1,J  ,1,bi,bj) * _dyC(I-1,J  ,bi,bj))       &         -vFld(I-1,J  ,bi,bj) * _dyC(I-1,J  ,bi,bj))
163       &         * recip_rAz(I,J,bi,bj)       &         * recip_rAz(I,J,bi,bj)
164       &         +       &         +
165       &         0.25 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I  ,J-1,1,bi,bj))       &         0.25 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))
166       &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )       &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )
167       &         *recip_rSphere       &         *recip_rSphere
168       &         )       &         )
# Line 159  C     no slip boundary conditions apply Line 180  C     no slip boundary conditions apply
180    
181             e12Loc(I,J,bi,bj) = e12Loc(I,J,bi,bj)             e12Loc(I,J,bi,bj) = e12Loc(I,J,bi,bj)
182       &          + recip_rAz(i,j,bi,bj) * 2. _d 0 *       &          + recip_rAz(i,j,bi,bj) * 2. _d 0 *
183       &          ( hFacU * ( _dxC(i,j-1,bi,bj)*uFld(i,j  ,1,bi,bj)       &          ( hFacU * ( _dxC(i,j-1,bi,bj)*uFld(i,j  ,bi,bj)
184       &                    + _dxC(i,j,  bi,bj)*uFld(i,j-1,1,bi,bj) )       &                    + _dxC(i,j,  bi,bj)*uFld(i,j-1,bi,bj) )
185       &          + hFacV * ( _dyC(i-1,j,bi,bj)*vFld(i  ,j,1,bi,bj)       &          + hFacV * ( _dyC(i-1,j,bi,bj)*vFld(i  ,j,bi,bj)
186       &                    + _dyC(i,  j,bi,bj)*vFld(i-1,j,1,bi,bj) ) )       &                    + _dyC(i,  j,bi,bj)*vFld(i-1,j,bi,bj) ) )
187       &         - hFacU       &         - hFacU
188       &         * 0.25 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I  ,J-1,1,bi,bj))       &         * 0.25 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))
189       &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )       &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )
190       &         *recip_rSphere       &         *recip_rSphere
191  C     one metric term is missing  C     one metric term is missing
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