--- MITgcm/pkg/seaice/seaice_calc_strainrates.F 2007/04/20 18:29:58 1.1 +++ MITgcm/pkg/seaice/seaice_calc_strainrates.F 2009/03/18 12:58:17 1.11 @@ -1,13 +1,13 @@ -C $Header: /home/ubuntu/mnt/e9_copy/MITgcm/pkg/seaice/seaice_calc_strainrates.F,v 1.1 2007/04/20 18:29:58 mlosch Exp $ +C $Header: /home/ubuntu/mnt/e9_copy/MITgcm/pkg/seaice/seaice_calc_strainrates.F,v 1.11 2009/03/18 12:58:17 mlosch Exp $ C $Name: $ #include "SEAICE_OPTIONS.h" CStartOfInterface - SUBROUTINE SEAICE_CALC_STRAINRATES( + SUBROUTINE SEAICE_CALC_STRAINRATES( I uFld, vFld, O e11, e22, e12, - I myThid ) + I kSize, iStep, myTime, myIter, myThid ) C /==========================================================\ C | SUBROUTINE SEAICE_CALC_STRAINRATES | C | o compute strain rates from ice velocities | @@ -22,17 +22,26 @@ #include "PARAMS.h" #include "GRID.h" #include "SEAICE_PARAMS.h" +#include "SEAICE.h" #ifdef ALLOW_AUTODIFF_TAMC # include "tamc.h" #endif C === Routine arguments === -C myThid - Thread no. that called this routine. +C iStep :: Sub-time-step number +C myTime :: Simulation time +C myIter :: Simulation timestep number +C myThid :: My Thread Id. number +C kSize :: length of 3rd dimension of velocity variables + INTEGER iStep + _RL myTime + INTEGER myIter INTEGER myThid + INTEGER kSize C ice velocities - _RL uFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) - _RL vFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) + _RL uFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,kSize,nSx,nSy) + _RL vFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,kSize,nSx,nSy) C strain rate tensor _RL e11 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) _RL e22 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) @@ -44,48 +53,129 @@ C === Local variables === C i,j,bi,bj - Loop counters INTEGER i, j, bi, bj - +C hFacU, hFacV - determine the no-slip boundary condition + INTEGER k + _RS hFacU, hFacV, noSlipFac + + k = 1 + noSlipFac = 0. _d 0 + IF ( SEAICE_no_slip ) noSlipFac = 1. _d 0 C +#ifndef SEAICE_OLD_AND_BAD_DISCRETIZATION + 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 + e11(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) * + & (uFld(I+1,J,1,bi,bj)-uFld(I,J,1,bi,bj)) + & +HALF* + & (vFld(I,J,1,bi,bj)+vFld(I,J+1,1,bi,bj)) + & * k2AtC(I,J,bi,bj) + e22(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) * + & (vFld(I,J+1,1,bi,bj)-vFld(I,J,1,bi,bj)) + & +HALF* + & (uFld(I,J,1,bi,bj)+uFld(I+1,J,1,bi,bj)) + & * k1AtC(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 + 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) + e12(I,J,bi,bj) = HALF*( + & ( uFld(I,J,1,bi,bj) - uFld(I ,J-1,1,bi,bj) ) + & * _recip_dyU(I,J,bi,bj) + & + ( vFld(I,J,1,bi,bj) - vFld(I-1,J ,1,bi,bj) ) + & * _recip_dxV(I,J,bi,bj) + & - k1AtZ(I,J,bi,bj) + & * 0.5 _d 0 * (vFld(I,J,1,bi,bj)+vFld(I-1,J ,1,bi,bj)) + & - k2AtZ(I,J,bi,bj) + & * 0.5 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I ,J-1,1,bi,bj)) + & ) + & *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) + & + 2.0 _d 0 * noSlipFac * ( + & ( uFld(I,J,1,bi,bj) + uFld(I ,J-1,1,bi,bj) ) + & * _recip_dyU(I,J,bi,bj) * hFacU + & + ( vFld(I,J,1,bi,bj) + vFld(I-1,J ,1,bi,bj) ) + & * _recip_dxV(I,J,bi,bj) * hFacV + & ) +C no slip at the boundary implies u(j)+u(j-1)=0 and v(i)+v(i-1)=0 +C accross the boundary; this is already accomplished by masking so +C that the following lines are not necessary +c$$$ & - hFacV * k1AtZ(I,J,bi,bj) +c$$$ & * 0.5 _d 0 * (vFld(I,J,1,bi,bj)+vFld(I-1,J ,1,bi,bj)) +c$$$ & - hFacU * k2AtZ(I,J,bi,bj) +c$$$ & * 0.5 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I ,J-1,1,bi,bj)) + ENDDO + ENDDO + +c$$$ ENDIF + 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+1,sNy+Oly-1 - DO i=1-Olx+1,sNx+Olx-1 -C NOW EVALUATE STRAIN RATES - e11(I,J,bi,bj)= _recip_dxF(I,J,bi,bj) * - & (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj)) + DO j=1-Oly,sNy+Oly-1 + DO i=1-Olx,sNx+Olx-1 +C evaluate strain rates + e11(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) * + & (uFld(I+1,J,1,bi,bj)-uFld(I,J,1,bi,bj)) & -HALF* - & (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj)) + & (vFld(I,J,1,bi,bj)+vFld(I,J+1,1,bi,bj)) & * _tanPhiAtU(I,J,bi,bj)*recip_rSphere - e22(I,J,bi,bj)= _recip_dyF(I,J,bi,bj) * - & (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj)) + e22(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) * + & (vFld(I,J+1,1,bi,bj)-vFld(I,J,1,bi,bj)) C one metric term is missing - e12(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)) + ENDDO + ENDDO + DO j=1-Oly+1,sNy+Oly + DO i=1-Olx+1,sNx+Olx + e12(I,J,bi,bj) = HALF*( + & (uFld(I ,J ,1,bi,bj) * _dxC(I ,J ,bi,bj) + & -uFld(I ,J-1,1,bi,bj) * _dxC(I ,J-1,bi,bj) + & +vFld(I ,J ,1,bi,bj) * _dyC(I ,J ,bi,bj) + & -vFld(I-1,J ,1,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)) + & 0.25 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I ,J-1,1,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 -CML e12(I,J,bi,bj)=HALF*( -CML & (uFld(I,J+1,bi,bj)+uFld(I+1,J+1,bi,bj) -CML & -uFld(I,J-1,bi,bj)-uFld(I+1,J-1,bi,bj)) -CML & * 1. _d 0 / (dyC(I,J,bi,bj) + dyC(I,J-1,bi,bj)) -CML & + -CML & (vFld(I+1,J+1,bi,bj)+vFld(I+1,J,bi,bj) -CML & -vFld(I-1,J+1,bi,bj)-vFld(I-1,J,bi,bj)) -CML & * 1. _d 0 / (dxC(I,J,bi,bj) + dxC(I-1,J,bi,bj)) -CML & +HALF* -CML & (uFld(I, J, bi,bj)+uFld(I+1,J, bi,bj)) -CML & * _tanPhiAtU(I,J,bi,bj)*recip_rSphere) ENDDO ENDDO + IF ( SEAICE_no_slip ) THEN +C no slip boundary conditions apply only to e12 + 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) + + e12(I,J,bi,bj) = e12(I,J,bi,bj) + & + recip_rAz(i,j,bi,bj) * 2. _d 0 * + & ( hFacU * ( _dxC(i,j-1,bi,bj)*uFld(i,j ,1,bi,bj) + & + _dxC(i,j, bi,bj)*uFld(i,j-1,1,bi,bj) ) + & + hFacV * ( _dyC(i-1,j,bi,bj)*vFld(i ,j,1,bi,bj) + & + _dyC(i, j,bi,bj)*vFld(i-1,j,1,bi,bj) ) ) + & - hFacU + & * 0.25 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I ,J-1,1,bi,bj)) + & * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) ) + & *recip_rSphere +C one metric term is missing + ENDDO + ENDDO + + ENDIF ENDDO ENDDO +#endif /* SEAICE_OLD_AND_BAD_DISCRETIZATION */ #endif /* SEAICE_ALLOW_DYNAMICS */ #endif /* SEAICE_CGRID */ RETURN