| 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               | | 
| 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) | 
| 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 | e11Loc(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,1,bi,bj)-uFld(I,J,1,bi,bj)) | &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj)) | 
| 70 | &         +HALF* | &         +HALF* | 
| 71 | &         (vFld(I,J,1,bi,bj)+vFld(I,J+1,1,bi,bj)) | &         (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj)) | 
| 72 | &         * k2AtC(I,J,bi,bj) | &         * k2AtC(I,J,bi,bj) | 
| 73 | e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) * | e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) * | 
| 74 | &         (vFld(I,J+1,1,bi,bj)-vFld(I,J,1,bi,bj)) | &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj)) | 
| 75 | &         +HALF* | &         +HALF* | 
| 76 | &         (uFld(I,J,1,bi,bj)+uFld(I+1,J,1,bi,bj)) | &         (uFld(I,J,bi,bj)+uFld(I+1,J,bi,bj)) | 
| 77 | &         * k1AtC(I,J,bi,bj) | &         * k1AtC(I,J,bi,bj) | 
| 78 | ENDDO | ENDDO | 
| 79 | ENDDO | ENDDO | 
| 82 | 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) | 
| 83 | 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) | 
| 84 | e12Loc(I,J,bi,bj) = HALF*( | e12Loc(I,J,bi,bj) = HALF*( | 
| 85 | &           ( uFld(I,J,1,bi,bj) - uFld(I  ,J-1,1,bi,bj) ) | &           ( uFld(I,J,bi,bj) - uFld(I  ,J-1,bi,bj) ) | 
| 86 | &         * _recip_dyU(I,J,bi,bj) | &         * _recip_dyU(I,J,bi,bj) | 
| 87 | &         + ( vFld(I,J,1,bi,bj) - vFld(I-1,J  ,1,bi,bj) ) | &         + ( vFld(I,J,bi,bj) - vFld(I-1,J  ,bi,bj) ) | 
| 88 | &         * _recip_dxV(I,J,bi,bj) | &         * _recip_dxV(I,J,bi,bj) | 
| 89 | &         - k1AtZ(I,J,bi,bj) | &         - k1AtZ(I,J,bi,bj) | 
| 90 | &         * 0.5 _d 0 * (vFld(I,J,1,bi,bj)+vFld(I-1,J  ,1,bi,bj)) | &         * 0.5 _d 0 * (vFld(I,J,bi,bj)+vFld(I-1,J  ,bi,bj)) | 
| 91 | &         - k2AtZ(I,J,bi,bj) | &         - k2AtZ(I,J,bi,bj) | 
| 92 | &         * 0.5 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I  ,J-1,1,bi,bj)) | &         * 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) | &         *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) | &         *maskC(I  ,J-1,k,bi,bj)*maskC(I-1,J-1,k,bi,bj) | 
| 96 | &         + 2.0 _d 0 * noSlipFac * ( | &         + 2.0 _d 0 * noSlipFac * ( | 
| 97 | &           ( uFld(I,J,1,bi,bj) + uFld(I  ,J-1,1,bi,bj) ) | &           ( uFld(I,J,bi,bj) + uFld(I  ,J-1,bi,bj) ) | 
| 98 | &         * _recip_dyU(I,J,bi,bj) * hFacU | &         * _recip_dyU(I,J,bi,bj) * hFacU | 
| 99 | &         + ( vFld(I,J,1,bi,bj) + vFld(I-1,J  ,1,bi,bj) ) | &         + ( vFld(I,J,bi,bj) + vFld(I-1,J  ,bi,bj) ) | 
| 100 | &         * _recip_dxV(I,J,bi,bj) * hFacV | &         * _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 | 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 | C     accross the boundary; this is already accomplished by masking so | 
| 104 | C     that the following lines are not necessary | C     that the following lines are not necessary | 
| 105 | c$$$     &         - hFacV * k1AtZ(I,J,bi,bj) | c$$$     &         - hFacV * k1AtZ(I,J,bi,bj) | 
| 106 | c$$$     &         * 0.5 _d 0 * (vFld(I,J,1,bi,bj)+vFld(I-1,J  ,1,bi,bj)) | c$$$     &         * 0.5 _d 0 * (vFld(I,J,bi,bj)+vFld(I-1,J  ,bi,bj)) | 
| 107 | c$$$     &         - hFacU * k2AtZ(I,J,bi,bj) | c$$$     &         - hFacU * k2AtZ(I,J,bi,bj) | 
| 108 | c$$$     &         * 0.5 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I  ,J-1,1,bi,bj)) | c$$$     &         * 0.5 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj)) | 
| 109 | ENDDO | ENDDO | 
| 110 | ENDDO | ENDDO | 
| 111 |  |  | 
| 121 | DO i=1-Olx,sNx+Olx-1 | DO i=1-Olx,sNx+Olx-1 | 
| 122 | C     evaluate strain rates | C     evaluate strain rates | 
| 123 | e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) * | e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) * | 
| 124 | &         (uFld(I+1,J,1,bi,bj)-uFld(I,J,1,bi,bj)) | &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj)) | 
| 125 | &         -HALF* | &         -HALF* | 
| 126 | &         (vFld(I,J,1,bi,bj)+vFld(I,J+1,1,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 | e22Loc(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+1,1,bi,bj)-vFld(I,J,1,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 | e12Loc(I,J,bi,bj) = HALF*( | e12Loc(I,J,bi,bj) = HALF*( | 
| 136 | &         (uFld(I  ,J  ,1,bi,bj) * _dxC(I  ,J  ,bi,bj) | &         (uFld(I  ,J  ,bi,bj) * _dxC(I  ,J  ,bi,bj) | 
| 137 | &         -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) | 
| 138 | &         +vFld(I  ,J  ,1,bi,bj) * _dyC(I  ,J  ,bi,bj) | &         +vFld(I  ,J  ,bi,bj) * _dyC(I  ,J  ,bi,bj) | 
| 139 | &         -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)) | 
| 140 | &         * recip_rAz(I,J,bi,bj) | &         * recip_rAz(I,J,bi,bj) | 
| 141 | &         + | &         + | 
| 142 | &         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)) | 
| 143 | &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) ) | &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) ) | 
| 144 | &         *recip_rSphere | &         *recip_rSphere | 
| 145 | &         ) | &         ) | 
| 157 |  |  | 
| 158 | e12Loc(I,J,bi,bj) = e12Loc(I,J,bi,bj) | e12Loc(I,J,bi,bj) = e12Loc(I,J,bi,bj) | 
| 159 | &          + recip_rAz(i,j,bi,bj) * 2. _d 0 * | &          + recip_rAz(i,j,bi,bj) * 2. _d 0 * | 
| 160 | &          ( 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) | 
| 161 | &                    + _dxC(i,j,  bi,bj)*uFld(i,j-1,1,bi,bj) ) | &                    + _dxC(i,j,  bi,bj)*uFld(i,j-1,bi,bj) ) | 
| 162 | &          + hFacV * ( _dyC(i-1,j,bi,bj)*vFld(i  ,j,1,bi,bj) | &          + hFacV * ( _dyC(i-1,j,bi,bj)*vFld(i  ,j,bi,bj) | 
| 163 | &                    + _dyC(i,  j,bi,bj)*vFld(i-1,j,1,bi,bj) ) ) | &                    + _dyC(i,  j,bi,bj)*vFld(i-1,j,bi,bj) ) ) | 
| 164 | &         - hFacU | &         - hFacU | 
| 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 | C     one metric term is missing | C     one metric term is missing |