/[MITgcm]/MITgcm/pkg/seaice/seaice_calc_strainrates.F
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revision 1.7 by mlosch, Wed Sep 19 08:48:21 2007 UTC revision 1.14 by mlosch, Wed Jun 24 08:23:38 2009 UTC
# Line 4  C $Name$ Line 4  C $Name$
4  #include "SEAICE_OPTIONS.h"  #include "SEAICE_OPTIONS.h"
5    
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     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 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"
29  #endif  #endif
30    
31  C     === Routine arguments ===  C     === Routine arguments ===
32  C     myThid - Thread no. that called this routine.  C     iStep  :: Sub-time-step number
33    C     myTime :: Simulation time
34    C     myIter :: Simulation timestep number
35    C     myThid :: My Thread Id. number
36          INTEGER iStep
37          _RL     myTime
38          INTEGER myIter
39        INTEGER myThid        INTEGER myThid
40  C     ice velocities  C     ice velocities
41        _RL uFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,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,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 e11 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL e11Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
45        _RL e22 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL e22Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
46        _RL e12 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL e12Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
47  CEndOfInterface  CEndOfInterface
48    
49  #ifdef SEAICE_CGRID  #ifdef SEAICE_CGRID
# Line 46  C     i,j,bi,bj - Loop counters Line 53  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        _RS hFacU, hFacV, noSlipFac
57    
58        k = 1        k = 1
59          noSlipFac = 0. _d 0
60          IF ( SEAICE_no_slip ) noSlipFac = 1. _d 0
61  C  C
62    #ifndef SEAICE_OLD_AND_BAD_DISCRETIZATION
63        DO bj=myByLo(myThid),myByHi(myThid)        DO bj=myByLo(myThid),myByHi(myThid)
64         DO bi=myBxLo(myThid),myBxHi(myThid)         DO bi=myBxLo(myThid),myBxHi(myThid)
65          DO j=1-Oly,sNy+Oly-1          DO j=1-Oly,sNy+Oly-1
66           DO i=1-Olx,sNx+Olx-1           DO i=1-Olx,sNx+Olx-1
67  C     evaluate strain rates  C     evaluate strain rates
68            e11(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *            e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *
69         &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))
70         &         +HALF*
71         &         (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))
72         &         * k2AtC(I,J,bi,bj)
73              e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *
74         &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))
75         &         +HALF*
76         &         (uFld(I,J,bi,bj)+uFld(I+1,J,bi,bj))
77         &         * k1AtC(I,J,bi,bj)
78             ENDDO
79            ENDDO
80            DO j=1-Oly+1,sNy+Oly
81             DO i=1-Olx+1,sNx+Olx
82              hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)
83              hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)
84              e12Loc(I,J,bi,bj) = HALF*(
85         &           ( uFld(I,J,bi,bj) - uFld(I  ,J-1,bi,bj) )
86         &         * _recip_dyU(I,J,bi,bj)
87         &         + ( vFld(I,J,bi,bj) - vFld(I-1,J  ,bi,bj) )
88         &         * _recip_dxV(I,J,bi,bj)
89         &         - k1AtZ(I,J,bi,bj)
90         &         * 0.5 _d 0 * (vFld(I,J,bi,bj)+vFld(I-1,J  ,bi,bj))
91         &         - k2AtZ(I,J,bi,bj)
92         &         * 0.5 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))
93         &         )
94         &         *maskC(I  ,J  ,k,bi,bj)*maskC(I-1,J  ,k,bi,bj)
95         &         *maskC(I  ,J-1,k,bi,bj)*maskC(I-1,J-1,k,bi,bj)
96         &         + 2.0 _d 0 * noSlipFac * (
97         &           ( uFld(I,J,bi,bj) + uFld(I  ,J-1,bi,bj) )
98         &         * _recip_dyU(I,J,bi,bj) * hFacU
99         &         + ( vFld(I,J,bi,bj) + vFld(I-1,J  ,bi,bj) )
100         &         * _recip_dxV(I,J,bi,bj) * hFacV
101         &         )
102    C     no slip at the boundary implies u(j)+u(j-1)=0 and v(i)+v(i-1)=0
103    C     accross the boundary; this is already accomplished by masking so
104    C     that the following lines are not necessary
105    c$$$     &         - hFacV * k1AtZ(I,J,bi,bj)
106    c$$$     &         * 0.5 _d 0 * (vFld(I,J,bi,bj)+vFld(I-1,J  ,bi,bj))
107    c$$$     &         - hFacU * k2AtZ(I,J,bi,bj)
108    c$$$     &         * 0.5 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))
109             ENDDO
110            ENDDO
111    
112    c$$$        ENDIF
113           ENDDO
114          ENDDO
115    #else
116    C     this the old and incomplete discretization, here I also erroneously
117    C     used finite-volumes to discretize the strain rates
118          DO bj=myByLo(myThid),myByHi(myThid)
119           DO bi=myBxLo(myThid),myBxHi(myThid)
120            DO j=1-Oly,sNy+Oly-1
121             DO i=1-Olx,sNx+Olx-1
122    C     evaluate strain rates
123              e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *
124       &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))       &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))
125       &         -HALF*       &         -HALF*
126       &         (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))       &         (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))
127       &         * _tanPhiAtU(I,J,bi,bj)*recip_rSphere       &         * _tanPhiAtU(I,J,bi,bj)*recip_rSphere
128            e22(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *            e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *
129       &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))       &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))
130  C     one metric term is missing  C     one metric term is missing
131           ENDDO           ENDDO
132          ENDDO          ENDDO
133          DO j=1-Oly+1,sNy+Oly          DO j=1-Oly+1,sNy+Oly
134           DO i=1-Olx+1,sNx+Olx           DO i=1-Olx+1,sNx+Olx
135            e12(I,J,bi,bj) = HALF*(            e12Loc(I,J,bi,bj) = HALF*(
136       &         (uFld(I  ,J  ,bi,bj) * _dxC(I  ,J  ,bi,bj)       &         (uFld(I  ,J  ,bi,bj) * _dxC(I  ,J  ,bi,bj)
137       &         -uFld(I  ,J-1,bi,bj) * _dxC(I  ,J-1,bi,bj)       &         -uFld(I  ,J-1,bi,bj) * _dxC(I  ,J-1,bi,bj)
138       &         +vFld(I  ,J  ,bi,bj) * _dyC(I  ,J  ,bi,bj)       &         +vFld(I  ,J  ,bi,bj) * _dyC(I  ,J  ,bi,bj)
# Line 84  C     one metric term is missing Line 149  C     one metric term is missing
149           ENDDO           ENDDO
150          ENDDO          ENDDO
151          IF ( SEAICE_no_slip ) THEN          IF ( SEAICE_no_slip ) THEN
152  C     no slip boundary conditions apply only to e12  C     no slip boundary conditions apply only to e12Loc
153           DO j=1-Oly+1,sNy+Oly           DO j=1-Oly+1,sNy+Oly
154            DO i=1-Olx+1,sNx+Olx            DO i=1-Olx+1,sNx+Olx
155             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)
156             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)
157    
158             e12(I,J,bi,bj) = e12(I,J,bi,bj)             e12Loc(I,J,bi,bj) = e12Loc(I,J,bi,bj)
159       &          + recip_rAz(i,j,bi,bj) *       &          + recip_rAz(i,j,bi,bj) * 2. _d 0 *
160       &          ( hFacU * ( _dxC(i,j-1,bi,bj)*uFld(i,j  ,bi,bj)       &          ( hFacU * ( _dxC(i,j-1,bi,bj)*uFld(i,j  ,bi,bj)
161       &                    + _dxC(i,j,  bi,bj)*uFld(i,j-1,bi,bj) )       &                    + _dxC(i,j,  bi,bj)*uFld(i,j-1,bi,bj) )
162       &          + hFacV * ( _dyC(i-1,j,bi,bj)*vFld(i  ,j,bi,bj)       &          + hFacV * ( _dyC(i-1,j,bi,bj)*vFld(i  ,j,bi,bj)
163       &                    + _dyC(i,  j,bi,bj)*vFld(i-1,j,bi,bj) ) )       &                    + _dyC(i,  j,bi,bj)*vFld(i-1,j,bi,bj) ) )
164       &         - hFacU       &         - hFacU
165       &         * 0.25 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-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
# Line 107  C     one metric term is missing Line 172  C     one metric term is missing
172          ENDIF          ENDIF
173         ENDDO         ENDDO
174        ENDDO        ENDDO
175    #endif /* SEAICE_OLD_AND_BAD_DISCRETIZATION */
176  #endif /* SEAICE_ALLOW_DYNAMICS */  #endif /* SEAICE_ALLOW_DYNAMICS */
177  #endif /* SEAICE_CGRID */  #endif /* SEAICE_CGRID */
178        RETURN        RETURN
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