!||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||| module barotropic !BOP ! !MODULE: barotropic ! ! !DESCRIPTION: ! This module contains the routine for solving the barotropic ! equations. ! ! !REVISION HISTORY: ! SVN:$Id: barotropic.F90 70788 2015-05-20 21:09:18Z mlevy@ucar.edu $ ! !USES: use POP_KindsMod use POP_ErrorMod use POP_CommMod use POP_FieldMod use POP_GridHorzMod use POP_HaloMod use POP_SolversMod use kinds_mod, only: int_kind, i4, r8 use blocks, only: nx_block, ny_block, block, get_block ! use distribution, only: use domain_size use domain, only: distrb_clinic, blocks_clinic, nblocks_clinic, & POP_haloClinic use constants, only: field_type_vector, field_type_scalar, & grav, c1, c0, c2,field_loc_NEcorner, field_loc_center use prognostic, only: max_blocks_clinic, GRADPX, GRADPY, UBTROP, VBTROP, & PSURF, curtime, oldtime, newtime, PGUESS use operators, only: grad, div use grid, only: sfc_layer_type, sfc_layer_varthick, TAREA, REGION_MASK, & KMT, FCOR, HU, CALCT, sfc_layer_rigid, sfc_layer_oldfree use time_management, only: mix_pass, leapfrogts, impcor, c2dtu, theta, & gamma, alpha,f_euler_ts, beta, c2dtp, dtp use global_reductions, only: global_sum use forcing_fields, only: ATM_PRESS, FW use forcing_ap, only: ap_data_type use tavg, only: define_tavg_field, accumulate_tavg_field, accumulate_tavg_now use overflows use overflow_type implicit none private save ! !PUBLIC MEMBER FUNCTIONS: public :: init_barotropic, & barotropic_driver !EOP !BOC !----------------------------------------------------------------------- ! ! module variables ! !----------------------------------------------------------------------- integer (int_kind) :: & tavg_SU, &! tavg id for vertically-integrated U tavg_SV ! tavg id for vertically-integrated V !----------------------------------------------------------------------- ! ! nullspace removal ! ! CHECKER +/- checkerboard field for removing global ! checkerboard nullspace from surface pressure field. ! zero on land and marginal seas. ! CONSTNT constant field for removing constant nullspace ! from surface presure field. zero on land and in marginal ! seas, one in open ocean. ! ! sum_check = sum(CHECKER) ! sum_const = sum(CONSTNT) ! ! acheck = sum(CHECKER*TAREA)/sum(CONSTNT*TAREA) ! ! rcheck = acheck/(sum_const - acheck*sum_check) ! rconst = 1/(sum_const - acheck*sum_check) ! !----------------------------------------------------------------------- integer (i4), dimension (:,:,:), allocatable :: & CHECKER, &! checkerboard nullspace field CONSTNT ! constant nullspace field real (r8) :: & rcheck, rconst ! scalar constants for checkboard removal !EOC !*********************************************************************** contains !*********************************************************************** !BOP ! !IROUTINE: init_barotropic ! !INTERFACE: subroutine init_barotropic ! !DESCRIPTION: ! This routine initializes barotropic quantities - mostly tavg ! diagnostics related to barotropic velocities. ! ! !REVISION HISTORY: ! same as module !EOP !BOC !----------------------------------------------------------------------- ! ! local variables ! !----------------------------------------------------------------------- integer (int_kind) :: & i,j,n, &! loop indices iblock, &! local block index sum_check, &! global sum of checkboard field sum_const ! global sum of constant field real (r8) :: & acheck ! sum(CHECKER*TAREA)/sum(CONSTNT*TAREA) real (r8), dimension(nx_block,ny_block) :: & diagonalCorrection ! time dependent correction to operator real (r8), dimension(:,:,:), allocatable :: & CHECK_AREA, &! TAREA*CHEKER CONST_AREA ! TAREA*CONSTNT type (block) :: & this_block ! block information for this block integer (POP_i4) :: & errorCode ! returned error code !----------------------------------------------------------------------- ! ! define tavg diagnostics related to barotropic velocities ! !----------------------------------------------------------------------- call define_tavg_field(tavg_SU,'SU',2, & long_name='Vertically Integrated Velocity in grid-x direction', & units='centimeter^2/s', grid_loc='2221', & field_type = field_type_vector, & coordinates='ULONG ULAT time') call define_tavg_field(tavg_SV,'SV',2, & long_name='Vertically Integrated Velocity in grid-y direction', & units='centimeter^2/s', grid_loc='2221', & field_type = field_type_vector, & coordinates='ULONG ULAT time') !----------------------------------------------------------------------- ! ! initialize nullspace removal fields ! !----------------------------------------------------------------------- if (sfc_layer_type == sfc_layer_varthick) then allocate ( CHECKER(nx_block,ny_block,max_blocks_clinic), & CONSTNT(nx_block,ny_block,max_blocks_clinic), & CHECK_AREA(nx_block,ny_block,max_blocks_clinic), & CONST_AREA(nx_block,ny_block,max_blocks_clinic)) !$OMP PARALLEL DO PRIVATE(iblock, this_block, i, j, n) do iblock = 1,nblocks_clinic this_block = get_block(blocks_clinic(iblock),iblock) do j = 1,ny_block do i = 1,nx_block n = this_block%i_glob(i) + abs(this_block%j_glob(j)) CHECKER(i,j,iblock) = 2*mod(n,2) - 1 CHECK_AREA(i,j,iblock) = CHECKER(i,j,iblock)* & TAREA(i,j,iblock) enddo enddo if (allocated(REGION_MASK)) then where(KMT(:,:,iblock) > 0 .and. & REGION_MASK(:,:,iblock) > 0) CONSTNT(:,:,iblock) = 1 CONST_AREA(:,:,iblock) = TAREA(:,:,iblock) elsewhere CHECKER(:,:,iblock) = 0 CONSTNT(:,:,iblock) = 0 CHECK_AREA(:,:,iblock) = 0 CONST_AREA(:,:,iblock) = 0 endwhere else where(KMT(:,:,iblock) > 0) CONSTNT(:,:,iblock) = 1 CONST_AREA(:,:,iblock) = TAREA(:,:,iblock) elsewhere CHECKER(:,:,iblock) = 0 CONSTNT(:,:,iblock) = 0 CHECK_AREA(:,:,iblock) = 0 CONST_AREA(:,:,iblock) = 0 endwhere endif end do !$OMP END PARALLEL DO sum_check = global_sum(CHECKER,distrb_clinic,field_loc_center) sum_const = global_sum(CONSTNT,distrb_clinic,field_loc_center) acheck = global_sum(CHECK_AREA,distrb_clinic,field_loc_center) & /global_sum(CONST_AREA,distrb_clinic,field_loc_center) rcheck = acheck/(sum_const - acheck*sum_check) rconst = c1/(sum_const - acheck*sum_check) deallocate(CHECK_AREA, CONST_AREA) endif ! varthick ! prepare for solver preprocessing do iblock = 1,nblocks_clinic select case (sfc_layer_type) case(sfc_layer_varthick) diagonalCorrection(:,:) = & merge(TAREA(:,:,iblock)/(alpha*c2*dtp*dtp*grav), & c0,CALCT(:,:,iblock)) case(sfc_layer_rigid) diagonalCorrection(:,:) = 0.0_POP_r8 case(sfc_layer_oldfree) diagonalCorrection(:,:) = & merge(TAREA(:,:,iblock)/(alpha*c2*dtp*dtp*grav), & c0,CALCT(:,:,iblock)) end select call POP_SolversDiagonal(diagonalCorrection, iblock, errorCode) end do ! iblock !----------------------------------------------------------------------- !EOC end subroutine init_barotropic !*********************************************************************** !BOP ! !IROUTINE: barotropic_driver ! !INTERFACE: subroutine barotropic_driver(ZX,ZY,errorCode) ! !DESCRIPTION: ! This routine solves the barotropic equations for the surface ! pressure and barotropic velocity field using the implicit ! free-surface formulation. ! ! For leapfrog steps, the momentum equations for the auxiliary ! velocity $(u',v')$ are ! \begin{eqnarray} ! (u' - u^{n-1}) - 2 \Delta t \alpha f(v' - v^{n-1}) ! &=& 2 \Delta t [F_x - \gamma \nabla_x p - ! (1-\gamma)\nabla_x p^{n-1}] \\ ! (v' - v^{n-1}) + 2 \Delta t \alpha f(u' - u^{n-1}) ! &=& 2 \Delta t [F_y - \gamma \nabla_y p - ! (1-\gamma)\nabla_y p^{n-1}]. ! \end{eqnarray} ! The elliptic equation for new pressure $p^{n+1}$ is ! \begin{equation} ! \nabla\cdot(H \nabla(p^{n+1}) - p^{n+1}/(\alpha 2 \Delta t^2 g) ! = \nabla\cdot(H(u',v')/(\alpha 2\Delta t) + \nabla p^{n-1}) ! - p^n/(\alpha 2\Delta t^2 g - F_w/(\alpha 2\Delta t) ! \end{equation} ! New velocities $(U^{n+1},V^{n+1})$ are then constructed using ! \begin{eqnarray} ! U^{n+1} & = & u' - \alpha 2\Delta t \nabla_x(p^{n+1} - p^{n-1}) \\ ! V^{n+1} & = & v' - \alpha 2\Delta t \nabla_y(p^{n+1} - p^{n-1}) ! \end{eqnarray} ! ! On the first pass of Matsuno steps, the auxiliary velocity is ! \begin{eqnarray} ! (u' - u^n) - \Delta t\theta f(v' - v^n) ! &=& \Delta t (F_x - \nabla_x p^n) \\ ! (v' - v^n) + \Delta t\theta f(u' - u^n) ! &=& \Delta t (F_y - \nabla_y p^n), ! \end{eqnarray} ! the elliptic equation for new pressure is ! \begin{equation} ! \nabla\cdot(H\nabla({p`}^{n+1}) - ! {p`}^{n+1}/(\theta\Delta t^2 g) ! = \nabla\cdot(H[(u',v')/(\theta\Delta t) + \nabla p^n]) ! - p^n/(\theta*\Delta t^2 g) - F_w/(\theta\Delta t), ! \end{equation} ! and the velocities are constructed using ! \begin{eqnarray} ! U^{n+1} &=& u' - \theta\Delta t \nabla_x(p^{n+1} - p) \\ ! V^{n+1} &=& v' - \theta\Delta t \nabla_y(p^{n+1} - p) ! \end{eqnarray} ! ! On the second pass of Matsuno steps, the auxiliary velocity is ! \begin{eqnarray} ! (u' - u^n) - \Delta t \theta f(v' - v^n) ! &=& \Delta t (F_x' - \theta\nabla_x {p'}^{n+1} - ! (1-\theta)\nabla_x p^n) \\ ! (v' - v^n) + \Delta t \theta f(u' - u^n) ! &=& \Delta t (F_y' - \theta\nabla_y {p'}^{n+1} - ! (1-\theta)\nabla_y p^n), ! \end{eqnarray} ! the elliptic equation for new pressure is ! \begin{equation} ! \nabla\cdot(H\nabla p^{n+1}) - p^{n+1}/(\theta\Delta t^2 g) ! = \nabla\cdot(H[(u',v')/(\theta\Delta t) + \nabla p^{n+1}]) ! - p^n/(\theta\Delta t^2 g) - F_w/(\theta\Delta t) ! \end{equation} ! and the velocities are constructed using ! \begin{eqnarray} ! U^{n+1} &=& u' - \theta\Delta t\nabla_x(p^{n+1} - {p'}^{n+1})\\ ! V^{n+1} &=& v' - \theta\Delta t\nabla_y(p^{n+1} - {p'}^{n+1}) ! \end{eqnarray} ! ! The above equations are written for the case of implicit treatment ! of the coriolis terms. The parameters $\alpha$ and $\gamma$ are ! used to vary the time-centering of the coriolis terms and surface ! pressure gradients, which enter the equations centered in time ! as follows: ! \begin{eqnarray} ! \alpha Q^{n+1} + \gamma Q^n + (1-\alpha-\gamma)Q^{n-1} & & ! {\rm (leapfrog\ timesteps)} \\ ! \theta Q^{n+1} + (1-\theta)Q^n & & {\rm (matsuno\ timesteps)} ! \end{eqnarray} ! where Q is the coriolis term or surface-pressure gradient. ! The force terms $(F_x,F_y)$ contain r.h.s. coriolis terms which ! vary depending on the type of timestep (see comments in clinic). ! If the coriolis terms are treated explicitly, then they are ! simply evaluated at time (n), and appear only in the force terms. ! ! In the 2nd pass of a matsuno timestep, the force terms ! $(F_x',F_y')$ are constructed in baroclinic using the predicted ! prognostic fields $({U'}^{n+1},{V'}^{n+1}),T^{n+1}$ from the first ! pass. ! ! The auxiliary velocities $(u',v')$ are solutions of the momentum ! equation using an earlier known pressure. The elliptic equation ! solves for the correction to this pressure, and its gradient is ! added to $(u',v')$ to obtain the new velocites $(U^{n+1},V^{n+1})$. ! ! The elliptic equation is multiplied by the T-cell area to make ! the operator matrix used by the cg solver symmetric. ! $F_w$ is the surface freshwater flux in cm/s for the variable ! thickness surface layer option. ! ! !REVISION HISTORY: ! same as module ! !INPUT PARAMETERS: real (r8), dimension(nx_block,ny_block,max_blocks_clinic), & intent(inout) :: & ZX, ZY ! vertical integrals of forcing ! !INPUT PARAMETERS: integer (POP_i4), intent(out) :: & errorCode ! returned error code !EOP !BOC !----------------------------------------------------------------------- ! ! local variables ! !----------------------------------------------------------------------- integer (int_kind) :: iblock real (r8) :: & xcheck ! global sum of checkerboard real (r8), dimension(nx_block,ny_block,max_blocks_clinic) :: & RHS, &! r.h.s. of elliptic eqn times T-cell area UH,VH, &! auxiliary velocities (see description above) PCHECK, &! array for computing null space WORKX,WORKY ! local temp space real (r8), dimension(nx_block,ny_block) :: & diagonalCorrection, &! time dependent correction to operator WORK1,WORK2,WORK3,WORK4 ! local work space type (block) :: & this_block ! block information for current block !----------------------------------------------------------------------- ! ! calculate r.h.s. of barotropic momentum equations. ! !----------------------------------------------------------------------- !$OMP PARALLEL DO PRIVATE(iblock, this_block, diagonalCorrection, & !$OMP WORK1, WORK2, WORK3, WORK4) do iblock = 1,nblocks_clinic this_block = get_block(blocks_clinic(iblock),iblock) if (leapfrogts) then ! leapfrog WORK3 = c2dtp*(ZX(:,:,iblock) - & gamma *GRADPX(:,:,curtime,iblock) - & (c1 - gamma)*GRADPX(:,:,oldtime,iblock)) WORK4 = c2dtp*(ZY(:,:,iblock) - & gamma *GRADPY(:,:,curtime,iblock) - & (c1 - gamma)*GRADPY(:,:,oldtime,iblock)) elseif (mix_pass == 1 .or. f_euler_ts) then ! matsuno 1st pass WORK3 = c2dtp*(ZX(:,:,iblock) - GRADPX(:,:,curtime,iblock)) WORK4 = c2dtp*(ZY(:,:,iblock) - GRADPY(:,:,curtime,iblock)) else ! (mix_pass == 2) ! matsuno 2nd pass WORK3 = c2dtp*(ZX(:,:,iblock) - & theta *GRADPX(:,:,newtime,iblock) - & (c1 - theta)*GRADPX(:,:,curtime,iblock)) WORK4 = c2dtp*(ZY(:,:,iblock) - & theta *GRADPY(:,:,newtime,iblock) - & (c1 - theta)*GRADPY(:,:,curtime,iblock)) endif !----------------------------------------------------------------------- ! ! calculate negative gradient of surface atmospheric pressure ! and add it to r.h.s. forcing ! !----------------------------------------------------------------------- if (ap_data_type /= 'none') then call grad(1, WORK1, WORK2, ATM_PRESS(:,:,iblock), this_block) WORK3 = WORK3 - c2dtp*WORK1 WORK4 = WORK4 - c2dtp*WORK2 endif !----------------------------------------------------------------------- ! ! solve for auxiliary velocities ([Uh],[Vh]) ! !----------------------------------------------------------------------- if (impcor) then ! implicit coriolis WORK1 = c2dtp*beta*FCOR(:,:,iblock) WORK2 = c1/(c1 + WORK1**2) UH(:,:,iblock) = WORK2*(WORK3 + WORK1*WORK4) + & UBTROP(:,:,oldtime,iblock) VH(:,:,iblock) = WORK2*(WORK4 - WORK1*WORK3) + & VBTROP(:,:,oldtime,iblock) else ! explicit coriolis UH(:,:,iblock) = WORK3 + UBTROP(:,:,oldtime,iblock) VH(:,:,iblock) = WORK4 + VBTROP(:,:,oldtime,iblock) endif !----------------------------------------------------------------------- ! ! calculate r.h.s. of elliptic equation ! !----------------------------------------------------------------------- if (leapfrogts) then ! leapfrog WORK3 = HU(:,:,iblock)*(UH(:,:,iblock) + & beta*c2dtp*GRADPX(:,:,oldtime,iblock)) WORK4 = HU(:,:,iblock)*(VH(:,:,iblock) + & beta*c2dtp*GRADPY(:,:,oldtime,iblock)) elseif (mix_pass == 1 .or. f_euler_ts) then ! matsuno 1st pass WORK3 = HU(:,:,iblock)*(UH(:,:,iblock) + & beta*c2dtp*GRADPX(:,:,curtime,iblock)) WORK4 = HU(:,:,iblock)*(VH(:,:,iblock) + & beta*c2dtp*GRADPY(:,:,curtime,iblock)) else ! (mix_pass == 2) ! matsuno 2nd pass WORK3 = HU(:,:,iblock)*(UH(:,:,iblock) + & beta*c2dtp*GRADPX(:,:,newtime,iblock)) WORK4 = HU(:,:,iblock)*(VH(:,:,iblock) + & beta*c2dtp*GRADPY(:,:,newtime,iblock)) endif if ( overflows_on .and. overflows_interactive ) then call ovf_brtrpc_renorm(WORK3,WORK4,iblock) endif !*** div returns T-cell area * divergence call div(1,RHS(:,:,iblock),WORK3,WORK4,this_block) RHS(:,:,iblock) = RHS(:,:,iblock)/(beta*c2dtp) if ( overflows_on .and. overflows_interactive ) then call ovf_rhs_brtrpc_continuity(RHS,iblock) endif !----------------------------------------------------------------------- ! ! add diagonal term to central coefficient in implicit free-surface ! formulation, and add correction to r.h.s. ! !----------------------------------------------------------------------- select case (sfc_layer_type) case(sfc_layer_varthick) diagonalCorrection(:,:) = & merge(TAREA(:,:,iblock)/(beta*c2dtp*dtp*grav), & c0,CALCT(:,:,iblock)) RHS(:,:,iblock) = RHS(:,:,iblock) - & diagonalCorrection(:,:)*PSURF(:,:,curtime,iblock) - & FW(:,:,iblock)*TAREA(:,:,iblock)/(beta*c2dtp) case(sfc_layer_rigid) diagonalCorrection(:,:) = 0.0_POP_r8 case(sfc_layer_oldfree) diagonalCorrection(:,:) = & merge(TAREA(:,:,iblock)/(beta*c2dtp*dtp*grav), & c0,CALCT(:,:,iblock)) RHS(:,:,iblock) = RHS(:,:,iblock) - & diagonalCorrection(:,:)*PSURF(:,:,curtime,iblock) end select call POP_SolversDiagonal(diagonalCorrection, iblock, errorCode) !----------------------------------------------------------------------- ! ! initial guess for solver ! in matsuno 2nd pass, temporarily store press gradient from ! 1st pass ! !----------------------------------------------------------------------- PSURF(:,:,newtime,iblock) = PGUESS(:,:,iblock) if (mix_pass == 2) then WORKX(:,:,iblock) = GRADPX(:,:,newtime,iblock) WORKY(:,:,iblock) = GRADPY(:,:,newtime,iblock) endif end do ! block loop !$OMP END PARALLEL DO call POP_HaloUpdate(RHS,POP_haloClinic, & POP_gridHorzLocCenter, & POP_fieldKindScalar, errorCode, & fillValue = 0.0_POP_r8) if (errorCode /= POP_Success) then call POP_ErrorSet(errorCode, & 'POP_BarotropicDriver: error updating RHS halo') return endif !----------------------------------------------------------------------- ! ! solve elliptic equation for surface pressure ! !----------------------------------------------------------------------- call POP_SolversRun(PSURF(:,:,newtime,:), RHS, errorCode) if (errorCode /= POP_Success) then call POP_ErrorSet(errorCode, & 'POP_BarotropicDriver: error in solver') return endif !----------------------------------------------------------------------- ! ! calculate global sum of checkerboard nullspace ! !----------------------------------------------------------------------- if (sfc_layer_type == sfc_layer_varthick) then !$OMP PARALLEL DO PRIVATE(iblock) do iblock = 1,nblocks_clinic PCHECK(:,:,iblock) = PSURF(:,:,newtime,iblock)* & CHECKER(:,:,iblock) end do !$OMP END PARALLEL DO xcheck = global_sum(PCHECK,distrb_clinic,field_loc_center) endif !$OMP PARALLEL DO PRIVATE(iblock,this_block) do iblock = 1,nblocks_clinic this_block = get_block(blocks_clinic(iblock),iblock) !----------------------------------------------------------------------- ! ! remove checkerboard nullspace from solution ! !----------------------------------------------------------------------- if (sfc_layer_type == sfc_layer_varthick) then PSURF(:,:,newtime,iblock) = PSURF(:,:,newtime,iblock) + & CONSTNT(:,:,iblock)*rcheck*xcheck - & CHECKER(:,:,iblock)*rconst*xcheck endif !----------------------------------------------------------------------- ! ! calculate gradient of PSURF(:,:,newtime) ! !----------------------------------------------------------------------- call grad(1,GRADPX(:,:,newtime,iblock), & GRADPY(:,:,newtime,iblock), & PSURF(:,:,newtime,iblock),this_block) !----------------------------------------------------------------------- ! ! update new barotropic velocity, pressure, pressure gradient ! !----------------------------------------------------------------------- if (leapfrogts) then ! leapfrog UBTROP(:,:,newtime,iblock) = UH(:,:,iblock) - & beta*c2dtp*(GRADPX(:,:,newtime,iblock) - & GRADPX(:,:,oldtime,iblock)) VBTROP(:,:,newtime,iblock) = VH(:,:,iblock) - & beta*c2dtp*(GRADPY(:,:,newtime,iblock) - & GRADPY(:,:,oldtime,iblock)) elseif (mix_pass == 1 .or. f_euler_ts) then ! matsuno 1st pass UBTROP(:,:,newtime,iblock) = UH(:,:,iblock) - & beta*c2dtp*(GRADPX(:,:,newtime,iblock) - & GRADPX(:,:,curtime,iblock)) VBTROP(:,:,newtime,iblock) = VH(:,:,iblock) - & beta*c2dtp*(GRADPY(:,:,newtime,iblock) - & GRADPY(:,:,curtime,iblock)) else ! (mix_pass == 2) ! matsuno 2nd pass UBTROP(:,:,newtime,iblock) = UH(:,:,iblock) - & beta*c2dtp*(GRADPX(:,:,newtime,iblock) - & WORKX(:,:,iblock)) VBTROP(:,:,newtime,iblock) = VH(:,:,iblock) - & beta*c2dtp*(GRADPY(:,:,newtime,iblock) - & WORKY(:,:,iblock)) endif !----------------------------------------------------------------------- ! ! accumulate tavg diagnostics for barotropic velocities ! !----------------------------------------------------------------------- call accumulate_tavg_field(HU(:,:,iblock)* & UBTROP(:,:,curtime,iblock), & tavg_SU, iblock, 1) call accumulate_tavg_field(HU(:,:,iblock)* & VBTROP(:,:,curtime,iblock), & tavg_SV, iblock, 1) end do ! block loop !$OMP END PARALLEL DO call POP_HaloUpdate(PSURF(:,:,newtime,:),POP_haloClinic, & POP_gridHorzLocCenter, & POP_fieldKindScalar, errorCode, & fillValue = 0.0_POP_r8) if (errorCode /= POP_Success) then call POP_ErrorSet(errorCode, & 'POP_BarotropicDriver: error updating PSURF halo') return endif call POP_HaloUpdate(GRADPX(:,:,newtime,:),POP_haloClinic, & POP_gridHorzLocNECorner, & POP_fieldKindVector, errorCode, & fillValue = 0.0_POP_r8) if (errorCode /= POP_Success) then call POP_ErrorSet(errorCode, & 'POP_BarotropicDriver: error updating GRADPX halo') return endif call POP_HaloUpdate(GRADPY(:,:,newtime,:),POP_haloClinic, & POP_gridHorzLocNECorner, & POP_fieldKindVector, errorCode, & fillValue = 0.0_POP_r8) if (errorCode /= POP_Success) then call POP_ErrorSet(errorCode, & 'POP_BarotropicDriver: error updating GRADPY halo') return endif !----------------------------------------------------------------------- !EOC end subroutine barotropic_driver !*********************************************************************** end module barotropic !|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||