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ice_transport.F90
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ice_transport.F90
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!***********************************************************************
!* GNU General Public License *
!* This file is a part of SIS2. *
!* *
!* SIS2 is free software; you can redistribute it and/or modify it and *
!* are expected to follow the terms of the GNU General Public License *
!* as published by the Free Software Foundation; either version 2 of *
!* the License, or (at your option) any later version. *
!* *
!* SIS2 is distributed in the hope that it will be useful, but WITHOUT *
!* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY *
!* or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public *
!* License for more details. *
!* *
!* For the full text of the GNU General Public License, *
!* write to: Free Software Foundation, Inc., *
!* 675 Mass Ave, Cambridge, MA 02139, USA. *
!* or see: http://www.gnu.org/licenses/gpl.html *
!***********************************************************************
!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~!
! This module does the transport and redistribution between thickness !
! categories for the SIS2 sea ice model. !
!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~!
module ice_transport_mod
use SIS_diag_mediator, only : post_SIS_data, query_SIS_averaging_enabled, SIS_diag_ctrl
use SIS_diag_mediator, only : register_diag_field=>register_SIS_diag_field, time_type
use MOM_coms, only : reproducing_sum, EFP_type, EFP_to_real, EFP_real_diff
use MOM_domains, only : pass_var, pass_vector, BGRID_NE, CGRID_NE
use MOM_error_handler, only : SIS_error=>MOM_error, FATAL, WARNING
use MOM_error_handler, only : SIS_mesg=>MOM_mesg, is_root_pe
use MOM_file_parser, only : get_param, log_param, read_param, log_version, param_file_type
use MOM_obsolete_params, only : obsolete_logical
use SIS_tracer_registry, only : SIS_tracer_registry_type, get_SIS_tracer_pointer
use SIS_tracer_registry, only : update_SIS_tracer_halos, set_massless_SIS_tracers
use SIS_tracer_advect, only : advect_tracers_thicker, SIS_tracer_advect_CS
use SIS_tracer_advect, only : advect_SIS_tracers, SIS_tracer_advect_init, SIS_tracer_advect_end
use SIS_tracer_advect, only : advect_scalar
use SIS_continuity, only : SIS_continuity_init, SIS_continuity_end
use SIS_continuity, only : continuity=>ice_continuity, SIS_continuity_CS
use SIS_hor_grid, only : SIS_hor_grid_type
use ice_grid, only : ice_grid_type
use ice_ridging_mod, only : ice_ridging
implicit none ; private
#include <SIS2_memory.h>
public :: ice_transport_init, ice_transport, ice_transport_end !, ice_transport_register_restarts
public :: adjust_ice_categories
type, public :: ice_transport_CS ; private
! parameters for doing advective and parameterized advection.
logical :: SLAB_ICE = .false. ! should we do old style GFDL slab ice?
real :: chan_visc = 0. ! viscosity used in one-cell wide channels to parameterize transport (m^2/s)
real :: smag_ocn = 0.15 ! Smagorinksy coefficient for viscosity (dimensionless)
real :: chan_cfl_limit = 0.25 ! CFL limit for channel viscosity parameterization (dimensionless)
real :: Rho_ice = 905.0 ! The nominal density of sea ice, in kg m-3.
real :: Rho_snow = 330.0 ! The nominal density of snow on sea ice, in
! kg m-3.
real :: Roll_factor ! A factor by which the propensity of small
! amounts of thick sea-ice to become thinner by
! rolling is increased, or 0 to disable rolling.
! Sensible values are 0 or larger than 1.
logical :: readjust_categories ! If true, readjust the distribution into
! ice thickness categories after advection.
logical :: specified_ice ! If true, the sea ice is specified and there is
! no need for ice dynamics.
logical :: check_conservation ! If true, write out verbose diagnostics of conservation.
integer :: adv_sub_steps ! The number of advective iterations for each slow
! time step.
type(time_type), pointer :: Time ! A pointer to the ice model's clock.
type(SIS_diag_ctrl), pointer :: diag ! A structure that is used to regulate the
! timing of diagnostic output.
logical :: do_ridging
type(SIS_continuity_CS), pointer :: continuity_CSp => NULL()
type(SIS_tracer_advect_CS), pointer :: SIS_tr_adv_CSp => NULL()
type(SIS_tracer_advect_CS), pointer :: SIS_thick_adv_CSp => NULL()
integer :: id_ustar = -1, id_uocean = -1, id_uchan = -1
integer :: id_vstar = -1, id_vocean = -1, id_vchan = -1
integer :: id_ix_trans = -1, id_iy_trans = -1
end type ice_transport_CS
contains
!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~!
! transport - do ice transport and thickness class redistribution !
!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~!
subroutine ice_transport(part_sz, mH_ice, mH_snow, mH_pond, uc, vc, tsurf, TrReg, sea_lev, &
dt_slow, G, IG, CS, rdg_hice, snow2ocn, &
rdg_rate, rdg_open, rdg_vosh)
type(SIS_hor_grid_type), intent(inout) :: G
type(ice_grid_type), intent(inout) :: IG
real, dimension(SZI_(G),SZJ_(G),0:SZCAT_(IG)), intent(inout) :: part_sz
real, dimension(SZI_(G),SZJ_(G),SZCAT_(IG)), intent(inout) :: mH_ice, mH_snow, mH_pond
real, dimension(SZI_(G),SZJ_(G),0:SZCAT_(IG)), intent(inout) :: tsurf
type(SIS_tracer_registry_type), pointer :: TrReg
real, dimension(SZIB_(G),SZJ_(G)), intent(inout) :: uc
real, dimension(SZI_(G),SZJB_(G)), intent(inout) :: vc
real, dimension(SZI_(G),SZJ_(G)), intent(in) :: sea_lev
real, intent(in) :: dt_slow
type(ice_transport_CS), pointer :: CS
real, dimension(SZI_(G),SZJ_(G),SZCAT_(IG)), intent(inout) :: rdg_hice
real, dimension(SZI_(G),SZJ_(G)), intent(inout) :: snow2ocn ! snow volume [m] dumped into ocean during ridging
real, dimension(SZI_(G),SZJ_(G)), intent(inout) :: rdg_rate
real, dimension(SZI_(G),SZJ_(G)), intent(inout) :: rdg_open ! formation rate of open water due to ridging
real, dimension(SZI_(G),SZJ_(G)), intent(inout) :: rdg_vosh ! rate of ice volume shifted from level to ridged ice
! Arguments: part_sz - The fractional ice concentration within a cell in each
! thickness category, nondimensional, 0-1, in/out.
! (inout) mH_ice - The mass per unit area of the ice in each category in H (often kg m-2).
! (inout) mH_snow - The mass per unit area of the snow atop the ice in each
! category in H (often kg m-2).
! (inout) mH_pond - The mass per unit area of the pond on the ice in each category
! (in) uc - The zonal ice velocity, in m s-1.
! (in) vc - The meridional ice velocity, in m s-1.
! (inout) tsurf - The surface skin temperature in deg K.
! (inout) TrReg - The registry of registered SIS ice and snow tracers.
! (in) mH_lim - The lower ice-loading limit of each category, in H (often kg m-2).
! (in) sea_lev - The height of the sea level, including contributions
! from non-levitating ice from an earlier time step, in m.
! (in) dt_slow - The amount of time over which the ice dynamics are to be
! advanced, in s.
! (in) G - The ocean's grid structure.
! (in) IG - The sea-ice-specific grid structure.
! (in/out) CS - A pointer to the control structure for this module.
real, dimension(:,:,:,:), pointer :: &
heat_ice=>NULL(), & ! Pointers to the enth_ice and enth_snow arrays from the
heat_snow=>NULL() ! SIS tracer registry. enth_ice is the enthalpy of the
! ice in each category and layer, while enth_snow is the
! enthalpy of the snow atop the ice in each category.
! Both are in enth_units (J or rescaled).
real, dimension(SZIB_(G),SZJ_(G),SZCAT_(IG)) :: &
uh_ice, & ! Zonal fluxes of ice in H m2 s-1.
uh_snow, & ! Zonal fluxes of snow in H m2 s-1.
uh_pond ! Zonal fluxes of melt pond water in H m2 s-1.
real, dimension(SZIB_(G),SZJ_(G)) :: &
uf, & ! Zonal fluxes in m3 s-1 and kg s-1.
ustar, ustaro, ustarv ! Local variables, transporting velocities
real, dimension(SZI_(G),SZJB_(G),SZCAT_(IG)) :: &
vh_ice, & ! Meridional fluxes of ice in H m2 s-1.
vh_snow, & ! Meridional fluxes of snow in H m2 s-1.
vh_pond ! Meridional fluxes of melt pond water in H m2 s-1.
real, dimension(SZI_(G),SZJB_(G)) :: &
vf, & ! Meridional fluxes in m3 s-1 and kg s-1.
vstar, vstaro, vstarv ! Local variables, transporting velocities
real, dimension(SZI_(G),SZJ_(G),SZCAT_(IG)) :: &
mca_ice, mca_snow, & ! The mass of snow and ice per unit total area in a
! cell, in units of H (often kg m-2). "mca" stands
! for "mass cell averaged"
mca0_ice, mca0_snow,& ! The initial mass of snow and ice per unit total
! area in a cell, in units of H (often kg m-2).
mca_pond, mca0_pond ! As for ice and snow above but for melt ponds, in H.
real :: h_in_m ! The ice thickness in m.
real :: hca_in_m ! The ice thickness averaged over the whole cell in m.
real, dimension(SZI_(G),SZJ_(G)) :: opnwtr
real, dimension(SZI_(G),SZJ_(G)) :: ice_cover ! The summed fractional ice concentration, ND.
real, dimension(SZI_(G),SZJ_(G)) :: mHi_avg ! The average ice mass-thickness in kg m-2.
real :: u_visc, u_ocn, cnn, grad_eta ! Variables for channel parameterization
real, parameter :: T_0degC = 273.15 ! 0 degrees C in Kelvin
real :: I_mca_ice
type(EFP_type) :: tot_ice(2), tot_snow(2), enth_ice(2), enth_snow(2)
real :: I_tot_ice, I_tot_snow
real :: C1_3 = 1.0/3.0
real :: dt_adv
character(len=200) :: mesg
integer :: i, j, k, m, bad, isc, iec, jsc, jec, isd, ied, jsd, jed, nL, nCat
integer :: iTransportSubcycles ! For transport sub-cycling
isc = G%isc ; iec = G%iec ; jsc = G%jsc ; jec = G%jec
isd = G%isd ; ied = G%ied ; jsd = G%jsd ; jed = G%jed
nCat = IG%CatIce
if (CS%slab_ice) then
call pass_vector(uc, vc, G%Domain, stagger=CGRID_NE)
call slab_ice_advect(uc, vc, mH_ice(:,:,1), 4.0*IG%kg_m2_to_H, dt_slow, G, CS)
call pass_var(mH_ice(:,:,2), G%Domain)
do j=G%jsd,G%jed ; do i=G%isd,G%ied
if (mH_ice(i,j,1) > 0.0) then
part_sz(i,j,1) = 1.0
else
part_sz(i,j,1) = 0.0
endif
enddo ; enddo
return
endif
! Make sure that ice is in the right thickness category before advection.
! call adjust_ice_categories(mH_ice, mH_snow, part_sz, TrReg, G, CS) !Niki: add ridging?
if (CS%chan_visc>0. .and. CS%adv_sub_steps>0) then
! This block of code is a parameterization of either (or both)
! i) the pressure driven oceanic flow in a narrow channel, or
! ii) pressure driven flow of ice itself.
! The latter is a speculative but both are missing due to
! masking of velocities to zero in a single-cell wide channel.
dt_adv = dt_slow/CS%adv_sub_steps
ice_cover(:,:) = min(sum(part_sz(:,:,1:nCat),dim=3),1.0)
ustar(:,:) = 0. ; vstar(:,:) = 0.
ustaro(:,:) = 0. ; vstaro(:,:) = 0.
ustarv(:,:) = 0. ; vstarv(:,:) = 0.
!$OMP parallel do default(none) shared(isc,iec,jsc,jec,G,CS,uc,sea_lev,ice_cover,dt_adv, &
!$OMP ustar,ustaro,ustarv) &
!$OMP private(grad_eta,u_visc,u_ocn,cnn)
do j=jsc,jec ; do I=isc-1,iec
if ((uc(I,j)==0.) .and. & ! this is a redundant test due to following line
(G%mask2dBu(I,J)+G%mask2dBu(I,J-1)==0.) .and. & ! =0 => no vels
(G%mask2dT(i,j)*G%mask2dT(i+1,j)>0.)) then ! >0 => open for transport
grad_eta=(sea_lev(i+1,j)-sea_lev(i,j)) * G%IdxCu(I,j) ! delta_i eta/dx
u_visc=-G%g_Earth*((G%dy_Cu(I,j)*G%dy_Cu(I,j))/(12.*CS%chan_visc)) & ! -g*dy^2/(12*visc)
*grad_eta ! d/dx eta
u_ocn=sqrt( G%g_Earth*G%dy_Cu(I,j)*abs(grad_eta)/(36.*CS%smag_ocn) ) ! Magnitude of ocean current
u_ocn=sign(u_ocn, -grad_eta) ! Direct down the ssh gradient
cnn=max(ice_cover(i,j),ice_cover(i+1,j))**2. ! Use the larger concentration
uc(I,j)=cnn*u_visc+(1.-cnn)*u_ocn
! Limit flow to be stable for fully divergent flow
if (uc(I,j)>0.) then
uc(I,j)=min( uc(I,j), CS%chan_cfl_limit*G%dxT(i,j)/dt_adv)
else
uc(I,j)=max( uc(I,j),(-1*CS%chan_cfl_limit)*G%dxT(i+1,j)/dt_adv)
endif
if (CS%id_ustar>0) ustar(I,j)=uc(I,j)
if (CS%id_uocean>0) ustaro(I,j)=u_ocn
if (CS%id_uchan>0) ustarv(I,j)=u_visc
endif
enddo ; enddo
!$OMP parallel do default(none) shared(isc,iec,jsc,jec,G,CS,vc,sea_lev,ice_cover,dt_adv, &
!$OMP vstar,vstaro,vstarv) &
!$OMP private(grad_eta,u_visc,u_ocn,cnn)
do J=jsc-1,jec ; do i=isc,iec
if ((vc(i,J)==0.) .and. & ! this is a redundant test due to following line
(G%mask2dBu(I,J)+G%mask2dBu(I-1,J)==0.) .and. & ! =0 => no vels
(G%mask2dT(i,j)*G%mask2dT(i,j+1)>0.)) then ! >0 => open for transport
grad_eta=(sea_lev(i,j+1)-sea_lev(i,j)) * G%IdyCv(i,J) ! delta_i eta/dy
u_visc=-G%g_Earth*((G%dx_Cv(i,J)*G%dx_Cv(i,J))/(12.*CS%chan_visc)) & ! -g*dy^2/(12*visc)
*grad_eta ! d/dx eta
u_ocn=sqrt( G%g_Earth*G%dx_Cv(i,J)*abs(grad_eta)/(36.*CS%smag_ocn) ) ! Magnitude of ocean current
u_ocn=sign(u_ocn, -grad_eta) ! Direct down the ssh gradient
cnn=max(ice_cover(i,j),ice_cover(i,j+1))**2. ! Use the larger concentration
vc(i,J)=cnn*u_visc+(1.-cnn)*u_ocn
! Limit flow to be stable for fully divergent flow
if (vc(i,J)>0.) then
vc(i,J)=min( vc(i,J), CS%chan_cfl_limit*G%dyT(i,j)/dt_adv)
else
vc(i,J)=max( vc(i,J),(-1*CS%chan_cfl_limit)*G%dyT(i,j+1)/dt_adv)
endif
if (CS%id_vstar>0) vstar(i,J)=vc(i,J)
if (CS%id_vocean>0) vstaro(i,J)=u_ocn
if (CS%id_vchan>0) vstarv(i,J)=u_visc
endif
enddo ; enddo
endif
call pass_vector(uc, vc, G%Domain, stagger=CGRID_NE)
if (CS%check_conservation) then ! mw/new - need to update this for pond ?
call get_total_amounts(mH_ice, mH_snow, part_sz, G, IG, tot_ice(1), tot_snow(1))
call get_total_enthalpy(mH_ice, mH_snow, part_sz, TrReg, G, IG, enth_ice(1), &
enth_snow(1))
endif
! Determine the whole-cell averaged mass of snow and ice.
mca_ice(:,:,:) = 0.0 ; mca_snow(:,:,:) = 0.0 ; mca_pond(:,:,:) = 0.0
ice_cover(:,:) = 0.0 ; mHi_avg(:,:) = 0.0
!$OMP parallel do default(none) shared(isc,iec,jsc,jec,G,IG,mH_ice,mca_ice,part_sz, &
!$OMP mca_snow,mH_snow,mca_pond,mH_pond,ice_cover, &
!$OMP mHi_avg,nCat)
do j=jsc,jec
do k=1,nCat ; do i=isc,iec
if (mH_ice(i,j,k)>0.0) then
mca_ice(i,j,k) = part_sz(i,j,k)*mH_ice(i,j,k)
mca_snow(i,j,k) = part_sz(i,j,k)*mH_snow(i,j,k)
mca_pond(i,j,k) = part_sz(i,j,k)*mH_pond(i,j,k)
ice_cover(i,j) = ice_cover(i,j) + part_sz(i,j,k)
mHi_avg(i,j) = mHi_avg(i,j) + mca_ice(i,j,k)
else
if (part_sz(i,j,k)*mH_snow(i,j,k) > 0.0) then
call SIS_error(FATAL, "Input to ice_transport, non-zero snow mass rests atop no ice.")
endif
if (part_sz(i,j,k)*mH_pond(i,j,k) > 0.0) then
call SIS_error(FATAL, "Input to ice_transport, non-zero pond mass rests atop no ice.")
endif
part_sz(i,j,k) = 0.0 ; mca_ice(i,j,k) = 0.0
mca_snow(i,j,k) = 0.0
mca_pond(i,j,k) = 0.0
endif
enddo ; enddo
do i=isc,iec ; if (ice_cover(i,j) > 0.0) then
mHi_avg(i,j) = mHi_avg(i,j) / ice_cover(i,j)
endif ; enddo
! Handle massless categories.
do k=1,nCat ; do i=isc,iec
if (mca_ice(i,j,k)<=0.0 .and. (G%mask2dT(i,j) > 0.0)) then
if (mHi_avg(i,j) <= IG%mH_cat_bound(k)) then
mH_ice(i,j,k) = IG%mH_cat_bound(k)
elseif (mHi_avg(i,j) >= IG%mH_cat_bound(k+1)) then
mH_ice(i,j,k) = IG%mH_cat_bound(k+1)
else
mH_ice(i,j,k) = mHi_avg(i,j)
endif
endif
enddo ; enddo
enddo
call set_massless_SIS_tracers(mca_snow, TrReg, G, IG, compute_domain=.true., do_ice=.false.)
call set_massless_SIS_tracers(mca_ice, TrReg, G, IG, compute_domain=.true., do_snow=.false.)
! Do the transport via the continuity equations and tracer conservation
! equations for mH_ice and tracers, inverting for the fractional size of
! each partition.
call pass_var(part_sz, G%Domain) ! cannot be combined with updates below
call update_SIS_tracer_halos(TrReg, G, complete=.false.)
call pass_var(mca_ice, G%Domain, complete=.false.)
call pass_var(mca_snow, G%Domain, complete=.false.)
call pass_var(mca_pond, G%Domain, complete=.false.)
call pass_var(mH_ice, G%Domain, complete=.true.)
dt_adv = dt_slow / real(CS%adv_sub_steps)
do iTransportSubcycles = 1, CS%adv_sub_steps
if (iTransportSubcycles>1) then ! Do not need to update on first iteration
call update_SIS_tracer_halos(TrReg, G, complete=.false.)
call pass_var(mca_ice, G%Domain, complete=.false.)
call pass_var(mca_snow, G%Domain, complete=.false.)
call pass_var(mca_pond, G%Domain, complete=.false.)
call pass_var(mH_ice, G%Domain, complete=.true.)
endif
do k=1,nCat ; do j=jsd,jed ; do i=isd,ied
mca0_ice(i,j,k) = mca_ice(i,j,k)
mca0_snow(i,j,k) = mca_snow(i,j,k)
mca0_pond(i,j,k) = mca_pond(i,j,k)
enddo ; enddo ; enddo
call continuity(uc, vc, mca0_ice, mca_ice, uh_ice, vh_ice, dt_adv, G, IG, CS%continuity_CSp)
call continuity(uc, vc, mca0_snow, mca_snow, uh_snow, vh_snow, dt_adv, G, IG, CS%continuity_CSp)
call continuity(uc, vc, mca0_pond, mca_pond, uh_pond, vh_pond, dt_adv, G, IG, CS%continuity_CSp)
call advect_scalar(mH_ice, mca0_ice, mca_ice, uh_ice, vh_ice, dt_adv, G, IG, CS%SIS_thick_adv_CSp)
call advect_SIS_tracers(mca0_ice, mca_ice, uh_ice, vh_ice, dt_adv, G, IG, &
CS%SIS_tr_adv_CSp, TrReg, snow_tr=.false.)
call advect_SIS_tracers(mca0_snow, mca_snow, uh_snow, vh_snow, dt_adv, G, IG, &
CS%SIS_tr_adv_CSp, TrReg, snow_tr=.true.)
enddo ! iTransportSubcycles
! Add code to make sure that mH_ice(i,j,1) > IG%mH_cat_bound(1).
do j=jsc,jec ; do i=isc,iec
if ((mca_ice(i,j,1) > 0.0) .and. (mH_ice(i,j,1) < IG%mH_cat_bound(1))) then
mH_ice(i,j,1) = IG%mH_cat_bound(1)
endif
enddo ; enddo
! Convert mca_ice and mca_snow back to part_sz and mH_snow.
ice_cover(:,:) = 0.0
!$OMP parallel do default(none) shared(isc,iec,jsc,jec,G,IG,CS,mca_ice,mH_ice,part_sz, &
!$OMP mH_snow,mH_pond,ice_cover,mca_snow,mca_pond,nCat)
do j=jsc,jec ; do k=1,nCat ; do i=isc,iec
if (mca_ice(i,j,k) > 0.0) then
if (CS%roll_factor * (mH_ice(i,j,k)*IG%H_to_kg_m2/CS%Rho_Ice)**3 > &
(mca_ice(i,j,k)*IG%H_to_kg_m2/CS%Rho_Ice)*G%areaT(i,j)) then
! This ice is thicker than it is wide even if all the ice in a grid
! cell is collected into a single cube, so it will roll. Any snow on
! top will simply be redistributed into a thinner layer, although it
! should probably be dumped into the ocean. Rolling makes the ice
! thinner so that it melts faster, but it should never be made thinner
! than IG%mH_cat_bound(1).
mH_ice(i,j,k) = max((CS%Rho_ice*IG%kg_m2_to_H) * &
sqrt((mca_ice(i,j,k)*G%areaT(i,j)) / &
(CS%roll_factor * mH_ice(i,j,k)) ), IG%mH_cat_bound(1))
endif
! Make sure that mH_ice(i,j,k) > IG%mH_cat_bound(1).
if (mH_ice(i,j,k) < IG%mH_cat_bound(1)) mH_ice(i,j,k) = IG%mH_cat_bound(1)
part_sz(i,j,k) = mca_ice(i,j,k) / mH_ice(i,j,k)
mH_snow(i,j,k) = mH_ice(i,j,k) * (mca_snow(i,j,k) / mca_ice(i,j,k))
mH_pond(i,j,k) = mH_ice(i,j,k) * (mca_pond(i,j,k) / mca_ice(i,j,k))
ice_cover(i,j) = ice_cover(i,j) + part_sz(i,j,k)
else
part_sz(i,j,k) = 0.0 ; mH_ice(i,j,k) = 0.0
if (mca_snow(i,j,k) > 0.0) &
call SIS_error(FATAL, &
"Positive mca_snow values should not exist without ice.")
if (mca_pond(i,j,k) > 0.0) &
call SIS_error(FATAL, &
"Something needs to be done with positive mca_pond values without ice.")
mH_snow(i,j,k) = 0.0 ; mH_pond(i,j,k) = 0.0
endif
enddo ; enddo ; enddo
do j=jsc,jec ; do i=isc,iec
part_sz(i,j,0) = 1.0-ice_cover(i,j)
enddo ; enddo
! Compress the ice where the fractional coverage exceeds 1, starting with
! ridging scheme. A more complete ridging scheme would also compress
! thicker ice and allow the fractional ice coverage to drop below 1.
call compress_ice(part_sz, mca_ice, mca_snow, mca_pond, &
mH_ice, mH_snow, mH_pond, tsurf, TrReg, G, IG, CS)
if (CS%readjust_categories) then
call adjust_ice_categories(mH_ice, mH_snow, mH_pond, part_sz, &
tsurf, TrReg, G, IG, CS)
endif
! Handle massless categories.
do k=1,nCat ; do j=jsc,jec ; do i=isc,iec
if (mca_ice(i,j,k)<=0.0) then
part_sz(i,j,k) = 0.0 ; mH_ice(i,j,k) = 0.0
mH_snow(i,j,k) = 0.0
endif
! Recalculating mca_ice and mca_snow for consistency.
mca_ice(i,j,k) = part_sz(i,j,k)*mH_ice(i,j,k)
mca_snow(i,j,k) = part_sz(i,j,k)*mH_snow(i,j,k)
enddo ; enddo ; enddo
call set_massless_SIS_tracers(mca_snow, TrReg, G, IG, compute_domain=.true., do_ice=.false.)
call set_massless_SIS_tracers(mca_ice, TrReg, G, IG, compute_domain=.true., do_snow=.false.)
! Niki: TOM does the ridging after redistribute which would need age_ice and rdg_hice below.
! ! ### THIS IS HARD-CODED ONLY TO WORK WITH 2 LAYERS.
! ! ### heat_snow AND OTHER TRACERS ARE OMITTED.
! if (CS%do_ridging) then
! do j=jsc,jec ; do i=isc,iec
! snow2ocn(i,j) = 0.0 !TOM> initializing snow2ocean
! if (sum(mH_ice(i,j,:)) > 1.e-10*CS%Rho_ice .and. &
! sum(part_sz(i,j,1:nCat)) > 0.01) &
! call ice_ridging(nCat, part_sz(i,j,:), mH_ice(i,j,:), &
! mH_snow(i,j,:), &
! heat_ice(i,j,:,1), heat_ice(i,j,:,2), & !Niki: Is this correct? Bob: No, 2-layers hard-coded.
! age_ice(i,j,:), snow2ocn(i,j), rdg_rate(i,j), rdg_hice(i,j,:), &
! dt_slow, IG%mH_cat_bound, rdg_open(i,j), rdg_vosh(i,j))
! enddo ; enddo
! endif ! do_ridging
if ((CS%id_ix_trans>0) .or. (CS%id_iy_trans>0)) then
uf(:,:) = 0.0; vf(:,:) = 0.0
do k=1,nCat
do j=jsc,jec ; do I=isc-1,iec
uf(I,j) = uf(I,j) + ((uh_pond(I,j,k) + uh_snow(I,j,k)) + uh_ice(I,j,k))
enddo ; enddo
do J=jsc-1,jec ; do i=isc,iec
vf(i,J) = vf(i,J) + ((vh_pond(i,J,k) + vh_snow(i,J,k)) + vh_ice(i,J,k))
enddo ; enddo
enddo
endif
call pass_var(part_sz, G%Domain) ! cannot be combined with the two updates below
call pass_var(mH_pond, G%Domain, complete=.false.)
call pass_var(mH_snow, G%Domain, complete=.false.)
call pass_var(mH_ice, G%Domain, complete=.true.)
! Recalculate part_sz(:,:,0) to ensure that the sum of part_sz adds up to 1.
! Compress_ice should already have taken care of this within the computational
! domain, but with a slightly different order of arithmetic. The max is here
! to avoid tiny negative values of order -1e-16 from round-off in the
! difference between ice_cover and 1.
ice_cover(:,:) = 0.0
do k=1,nCat ; ice_cover(:,:) = ice_cover(:,:) + part_sz(:,:,k) ; enddo
part_sz(:,:,0) = max(1.0 - ice_cover(:,:), 0.0)
if (CS%check_conservation) then
call get_total_amounts(mH_ice, mH_snow, part_sz, G, IG, tot_ice(2), tot_snow(2))
call get_total_enthalpy(mH_ice, mH_snow, part_sz, TrReg, G, IG, enth_ice(2), &
enth_snow(2))
if (is_root_pe()) then
I_tot_ice = abs(EFP_to_real(tot_ice(1)))
if (I_tot_ice > 0.0) I_tot_ice = 1.0 / I_tot_ice ! Adcroft's rule inverse.
I_tot_snow = abs(EFP_to_real(tot_snow(1)))
if (I_tot_snow > 0.0) I_tot_snow = 1.0 / I_tot_snow ! Adcroft's rule inverse.
write(*,'(" Total Ice mass: ",ES24.16,", Error: ",ES12.5," (",ES8.1,")")') &
EFP_to_real(tot_ice(2)), EFP_real_diff(tot_ice(2),tot_ice(1)), &
EFP_real_diff(tot_ice(2),tot_ice(1)) * I_tot_ice
write(*,'(" Total Snow mass: ",ES24.16,", Error: ",ES12.5," (",ES8.1,")")') &
EFP_to_real(tot_snow(2)), EFP_real_diff(tot_snow(2),tot_snow(1)), &
EFP_real_diff(tot_snow(2),tot_snow(1)) * I_tot_snow
I_tot_ice = abs(EFP_to_real(enth_ice(1)))
if (I_tot_ice > 0.0) I_tot_ice = 1.0 / I_tot_ice ! Adcroft's rule inverse.
I_tot_snow = abs(EFP_to_real(enth_snow(1)))
if (I_tot_snow > 0.0) I_tot_snow = 1.0 / I_tot_snow ! Adcroft's rule inverse.
write(*,'(" Enthalpy Ice: ",ES24.16,", Error: ",ES12.5," (",ES8.1,")")') &
EFP_to_real(enth_ice(2)), EFP_real_diff(enth_ice(2),enth_ice(1)), &
EFP_real_diff(enth_ice(2),enth_ice(1)) * I_tot_ice
write(*,'(" Enthalpy Snow: ",ES24.16,", Error: ",ES12.5," (",ES8.1,")")') &
EFP_to_real(enth_snow(2)), EFP_real_diff(enth_snow(2),enth_snow(1)), &
EFP_real_diff(enth_snow(2),enth_snow(1)) * I_tot_snow
endif
endif
if (CS%id_ix_trans>0) call post_SIS_data(CS%id_ix_trans, uf, CS%diag)
if (CS%id_iy_trans>0) call post_SIS_data(CS%id_iy_trans, vf, CS%diag)
if (CS%id_ustar >0) call post_SIS_data(CS%id_ustar, ustar, CS%diag)
if (CS%id_vstar >0) call post_SIS_data(CS%id_vstar , vstar, CS%diag)
if (CS%id_vocean>0) call post_SIS_data(CS%id_vocean, vstaro, CS%diag)
if (CS%id_uocean>0) call post_SIS_data(CS%id_uocean, ustaro, CS%diag)
if (CS%id_vchan>0) call post_SIS_data(CS%id_vchan, vstarv, CS%diag)
if (CS%id_uchan>0) call post_SIS_data(CS%id_uchan, ustarv, CS%diag)
end subroutine ice_transport
subroutine adjust_ice_categories(mH_ice, mH_snow, mH_pond, part_sz, tsurf, TrReg, G, IG, CS)
type(SIS_hor_grid_type), intent(inout) :: G
type(ice_grid_type), intent(inout) :: IG
real, dimension(SZI_(G),SZJ_(G),SZCAT_(IG)), intent(inout) :: mH_ice, mH_snow, mH_pond
real, dimension(SZI_(G),SZJ_(G),0:SZCAT_(IG)), intent(inout) :: part_sz
real, dimension(SZI_(G),SZJ_(G),0:SZCAT_(IG)), intent(inout) :: tsurf
type(SIS_tracer_registry_type), pointer :: TrReg
type(ice_transport_CS), pointer :: CS
! This subroutine moves mass between thickness categories if it is thinner or
! thicker than the bounding limits of each category.
! Arguments: part_sz - The fractional ice concentration within a cell in each
! thickness category, nondimensional, 0-1 at the end, in/out.
! (inout) mca_ice - The mass per unit grid-cell area of the ice in each
! category in H (often kg m-2).
! (inout) mca_snow - The mass per unit grid-cell area of the snow atop the
! ice in each category in H (often kg m-2).
! (inout) mca_pond - The mass per unit grid-cell area of the melt ponds atop
! the ice in each category in H (often kg m-2).
! (inout) mH_ice - The thickness of the ice in each category in H (often kg m-2).
! (inout) tsurf - The surface skin temperature in deg K.
! (inout) TrReg - The registry of registered SIS ice and snow tracers.
! (in) G - The ocean's grid structure.
! (in) IG - The sea-ice-specific grid structure.
! (in/out) CS - A pointer to the control structure for this module.
real :: mca_trans ! The cell-averaged ice mass transfered between categories, in kg m-2.
real :: part_trans ! The fractional area transfered between categories, nondim.
real :: snow_trans ! The cell-averaged snow transfered between categories, in kg m-2.
real :: pond_trans ! The cell-averaged pond transfered between categories, in kg m-2.
real :: I_mH_lim1 ! The inverse of the lower thickness limit, in m2 kg-1.
real, dimension(SZI_(G),SZCAT_(IG)) :: &
! The mass of snow, pond and ice per unit total area in a cell, in units of H
! (often kg m-2). "mca" stands for "mass cell averaged"
mca_ice, mca_snow, mca_pond, &
! Initial ice, snow and pond masses per unit cell area, in kg m-2.
mca0_ice, mca0_snow, mca0_pond, &
! Cross-catagory transfers of ice, snow and pond mass, in kg m-2.
trans_ice, trans_snow, trans_pond
logical :: do_any, do_j(SZJ_(G))
integer :: i, j, k, m, is, ie, js, je, nCat
is = G%isc ; ie = G%iec ; js = G%jsc ; je = G%jec
nCat = IG%CatIce
I_mH_lim1 = 1.0 / IG%mH_cat_bound(1)
! Zero out the part_size of any massless categories.
do k=1,nCat ; do j=js,je ; do i=is,ie ; if (mH_ice(i,j,k) <= 0.0) then
if (mH_ice(i,j,k) < 0.0) then
call SIS_error(FATAL, "Input to adjust_ice_categories, negative ice mass.")
endif
if (mH_snow(i,j,k) > 0.0) then
call SIS_error(FATAL, "Input to adjust_ice_categories, non-zero snow mass rests atop no ice.")
endif
if (mH_pond(i,j,k) > 0.0) then
call SIS_error(FATAL, "Input to adjust_ice_categories, non-zero pond mass rests atop no ice.")
endif
part_sz(i,j,k) = 0.0
endif ; enddo ; enddo ; enddo
! Only work on rows that have any sea ice at all.
do j=js,je
do_j(j) = .false.
do k=1,nCat
do i=is,ie ; if (part_sz(i,j,k)*mH_ice(i,j,k) > 0.0) then
do_j(j) = .true. ; exit
endif ; enddo
if (do_j(j)) exit
enddo
enddo
do j=js,je ; if (do_j(j)) then
do k=1,nCat ; do i=is,ie
mca_ice(i,k) = part_sz(i,j,k)*mH_ice(i,j,k)
mca_snow(i,k) = part_sz(i,j,k)*mH_snow(i,j,k)
mca_pond(i,k) = part_sz(i,j,k)*mH_pond(i,j,k)
mca0_ice(i,k) = mca_ice(i,k)
mca0_snow(i,k) = mca_snow(i,k)
mca0_pond(i,k) = mca_pond(i,k)
enddo ; enddo
trans_ice(:,:) = 0.0 ; trans_snow(:,:) = 0.0 ; trans_pond(:,:) = 0.0
do_any = .false.
do k=1,nCat-1 ; do i=is,ie
if ((mca_ice(i,k) > 0.0) .and. (mH_ice(i,j,k) > IG%mH_cat_bound(k+1))) then
! Move some or all of the ice to a thicker category.
! For now move all of it.
mca_trans = mca_ice(i,k)
part_trans = part_sz(i,j,k) ! * (mca_trans / mca_ice) * (mH_ice / h_trans)
snow_trans = mca_snow(i,k) ! * (part_trans / part_sz) = 1
pond_trans = mca_pond(i,k) ! * (part_trans / part_sz) = 1
trans_ice(i,K) = mca_trans
trans_snow(i,K) = snow_trans
trans_pond(i,K) = pond_trans
do_any = .true.
! Use area-weighted remapped thicknesses so that the total ice area and
! mass are both conserved in the remapping operation. Using a mass-
! weighted average thickness instead would cause the ice to systematically
! contract in area.
mH_ice(i,j,k+1) = (part_trans*mH_ice(i,j,k) + &
part_sz(i,j,k+1)*mH_ice(i,j,k+1)) / &
(part_trans + part_sz(i,j,k+1))
! h should be the first thing to correct via a non-constant profile, and
! can be improved independent of T & S.
mH_ice(i,j,k) = IG%mH_cat_bound(k+1)
part_sz(i,j,k+1) = part_sz(i,j,k+1) + part_trans
part_sz(i,j,k) = part_sz(i,j,k) - part_trans
mca_ice(i,k+1) = mca_ice(i,k+1) + mca_trans
mca_ice(i,k) = mca_ice(i,k) - mca_trans
mca_snow(i,k+1) = mca_snow(i,k+1) + snow_trans
mca_snow(i,k) = mca_snow(i,k) - snow_trans
mH_snow(i,j,k) = 0.0 ; mH_snow(i,j,k+1) = 0.0
if (part_sz(i,j,k)>0.0) mH_snow(i,j,k) = mca_snow(i,k) / part_sz(i,j,k)
if (part_sz(i,j,k+1)>0.0) mH_snow(i,j,k+1) = mca_snow(i,k+1) / part_sz(i,j,k+1)
mca_pond(i,k+1) = mca_pond(i,k+1) + pond_trans
mca_pond(i,k) = mca_pond(i,k) - pond_trans
mH_pond(i,j,k) = 0.0 ; mH_pond(i,j,k+1) = 0.0
if (part_sz(i,j,k)>0.0) mH_pond(i,j,k) = mca_pond(i,k) / part_sz(i,j,k)
if (part_sz(i,j,k+1)>0.0) mH_pond(i,j,k+1) = mca_pond(i,k+1) / part_sz(i,j,k+1)
endif
enddo ; enddo
if (do_any) then ! no pond tracers yet - mw
call advect_tracers_thicker(mca0_ice, trans_ice, G, IG, CS%SIS_tr_adv_CSp, &
TrReg, .false., j, is, ie)
call advect_tracers_thicker(mca0_snow, trans_snow, G, IG, CS%SIS_tr_adv_CSp, &
TrReg, .true., j, is, ie)
endif
do k=1,nCat ; do i=is,ie
mca0_ice(i,k) = mca_ice(i,k)
mca0_snow(i,k) = mca_snow(i,k)
mca0_pond(i,k) = mca_pond(i,k)
enddo ; enddo
trans_ice(:,:) = 0.0 ; trans_snow(:,:) = 0.0 ; trans_pond(:,:) = 0.0
do_any = .false.
do k=nCat,2,-1 ; do i=is,ie
if ((mca_ice(i,k) > 0.0) .and. (mH_ice(i,j,k) < IG%mH_cat_bound(k))) then
! Move some or all of the ice to a thinner category.
! For now move all of it.
mca_trans = mca_ice(i,k)
part_trans = part_sz(i,j,k) ! * (mca_trans / mca_ice) * (mH_ice / h_trans)
snow_trans = mca_snow(i,k) ! * (part_trans / part_sz) = 1
pond_trans = mca_pond(i,k) ! * (part_trans / part_sz) = 1
do_any = .true.
trans_ice(i,K-1) = -mca_trans ! Note the shifted index conventions!
trans_snow(i,K-1) = -snow_trans
trans_pond(i,K-1) = -pond_trans
! Use area-weighted remapped thicknesses so that the total ice area and
! mass are both conserved in the remapping operation.
mH_ice(i,j,k-1) = (part_trans*mH_ice(i,j,k) + &
part_sz(i,j,k-1)*mH_ice(i,j,k-1)) / &
(part_trans + part_sz(i,j,k-1))
! h should be the first thing to correct via a non-constant profile, and
! can be improved independently from T & S.
mH_ice(i,j,k) = IG%mH_cat_bound(k)
part_sz(i,j,k-1) = part_sz(i,j,k-1) + part_trans
part_sz(i,j,k) = part_sz(i,j,k) - part_trans
mca_ice(i,k-1) = mca_ice(i,k-1) + mca_trans
mca_ice(i,k) = mca_ice(i,k) - mca_trans
mca_snow(i,k-1) = mca_snow(i,k-1) + snow_trans
mca_snow(i,k) = mca_snow(i,k) - snow_trans
mH_snow(i,j,k) = 0.0 ; mH_snow(i,j,k-1) = 0.0
if (part_sz(i,j,k)>0.0) mH_snow(i,j,k) = mca_snow(i,k) / part_sz(i,j,k)
if (part_sz(i,j,k-1)>0.0) mH_snow(i,j,k-1) = mca_snow(i,k-1) / part_sz(i,j,k-1)
mca_pond(i,k-1) = mca_pond(i,k-1) + pond_trans
mca_pond(i,k) = mca_pond(i,k) - pond_trans
mH_pond(i,j,k) = 0.0 ; mH_pond(i,j,k-1) = 0.0
if (part_sz(i,j,k)>0.0) mH_pond(i,j,k) = mca_pond(i,k) / part_sz(i,j,k)
if (part_sz(i,j,k-1)>0.0) mH_pond(i,j,k-1) = mca_pond(i,k-1) / part_sz(i,j,k-1)
endif
enddo ; enddo
if (do_any) then
call advect_tracers_thicker(mca0_ice, trans_ice, G, IG, CS%SIS_tr_adv_CSp, &
TrReg, .false., j, is, ie)
call advect_tracers_thicker(mca0_snow, trans_snow, G, IG, CS%SIS_tr_adv_CSp, &
TrReg, .true., j, is, ie)
endif
! Compress the ice in category 1 if it is thinner than the minimum. This
! does not affect any tracer concentrations.
if (IG%mH_cat_bound(1) > 0.0) then
do i=is,ie
if ((mH_ice(i,j,1)*part_sz(i,j,1) > 0.0) .and. &
(mH_ice(i,j,1) < IG%mH_cat_bound(1))) then
! Compress the ice in this category to the minimum thickness.
part_sz(i,j,1) = part_sz(i,j,1) * (mH_ice(i,j,1) * I_mH_lim1)
mH_snow(i,j,1) = mH_snow(i,j,1) * (IG%mH_cat_bound(1) / mH_ice(i,j,1))
mH_pond(i,j,1) = mH_pond(i,j,1) * (IG%mH_cat_bound(1) / mH_ice(i,j,1))
! This is equivalent to mH_snow(i,j,1) = mca_snow(i,1) / part_sz(i,j,1)
mH_ice(i,j,1) = IG%mH_cat_bound(1)
endif
enddo
endif
endif ; enddo ! j-loop and do_j
end subroutine adjust_ice_categories
subroutine compress_ice(part_sz, mca_ice, mca_snow, mca_pond, &
mH_ice, mH_snow, mH_pond, tsurf, TrReg, G, IG, CS)
type(SIS_hor_grid_type), intent(inout) :: G
type(ice_grid_type), intent(inout) :: IG
real, dimension(SZI_(G),SZJ_(G),0:SZCAT_(IG)), intent(inout) :: part_sz
real, dimension(SZI_(G),SZJ_(G),SZCAT_(IG)), intent(inout) :: mca_ice, mca_snow, mca_pond
real, dimension(SZI_(G),SZJ_(G),SZCAT_(IG)), intent(inout) :: mH_ice, mH_snow, mH_pond
real, dimension(SZI_(G),SZJ_(G),0:SZCAT_(IG)), intent(inout) :: tsurf
type(SIS_tracer_registry_type), pointer :: TrReg
type(ice_transport_CS), pointer :: CS
! This subroutine compresses the ice, starting with the thinnest category, if
! the total fractional ice coverage exceeds 1. It is assumed at the start that
! the sum over all categories (including ice free) of part_sz is 1, but that the
! part_sz of the ice free category may be negative to make this so. In this
! routine, the mass (volume) is conserved, while the fractional coverage is
! solved for, while the new thicknesses are diagnosed.
! This subroutine is effectively a minimalist version of a sea-ice ridging
! scheme. A more complete ridging scheme would also compress thicker ice and
! allow the fractional ice coverage to drop below 1.
! Arguments: part_sz - The fractional ice concentration within a cell in each
! thickness category, nondimensional, 0-1 at the end, in/out.
! (inout) mca_ice - The mass per unit grid-cell area of the ice in each
! category in H (often kg m-2).
! (inout) mca_snow - The mass per unit grid-cell area of the snow atop the
! ice in each category in H.
! (inout) mca_pond - The mass per unit grid-cell area of the melt ponds atop
! the ice in each category in H.
! (inout) mH_ice - The thickness of the ice in each category in H.
! (inout) mH_snow - The thickness of the snow atop the ice in each category
! in H.
! (inout) mH_pond - The thickness of the pond atop the ice in each category
! in H.
! (inout) tsurf - The surface skin temperature in deg K.
! (inout) TrReg - The registry of registered SIS ice and snow tracers.
! (in) G - The ocean's grid structure.
! (in) IG - The sea-ice-specific grid structure.
! (in/out) CS - A pointer to the control structure for this module.
real, dimension(SZI_(G),SZJ_(G)) :: excess_cover
real :: compression_ratio
real :: Icompress_here
real :: mca_trans, mca_old
real :: snow_trans, snow_old
real :: pond_trans, pond_old
real :: Imca_new
real :: part_trans ! The fractional area transfered into a thicker category, nondim.
real, dimension(SZI_(G),SZCAT_(IG)) :: &
mca0_ice, mca0_snow, mca0_pond, trans_ice, trans_snow, trans_pond
logical :: do_any, do_j(SZJ_(G))
character(len=200) :: mesg
integer :: i, j, k, m, isc, iec, jsc, jec, nCat
isc = G%isc ; iec = G%iec ; jsc = G%jsc ; jec = G%jec
nCat = IG%CatIce
do_j(:) = .false.
!$OMP parallel do default(none) shared(isc,iec,jsc,jec,do_j,G,IG,part_sz,excess_cover, &
!$OMP mca_ice,mca_snow,mca_pond,mH_ice,mH_snow,mH_pond,&
!$OMP CS,TrReg,nCat,tsurf) &
!$OMP private(mca0_ice,do_any,mca0_snow,trans_ice,trans_snow, &
!$OMP mca0_pond,trans_pond,compression_ratio,Icompress_here, &
!$OMP mca_old,mca_trans,Imca_new,snow_trans,snow_old, &
!$OMP pond_trans,pond_old,part_trans)
do j=jsc,jec
do i=isc,iec
if (part_sz(i,j,0) < 0.0) then
excess_cover(i,j) = -part_sz(i,j,0) ; part_sz(i,j,0) = 0.0
do_j(j) = .true.
else
excess_cover(i,j) = 0.0
endif
enddo
if (do_j(j)) then
do k=1,nCat ; do i=isc,iec
mca0_ice(i,k) = mca_ice(i,j,k)
mca0_snow(i,k) = mca_snow(i,j,k)
mca0_pond(i,k) = mca_pond(i,j,k)
enddo ; enddo
trans_ice(:,:) = 0.0 ; trans_snow(:,:) = 0.0 ; trans_pond(:,:) = 0.0
do_any = .false.
do k=1,nCat-1 ; do i=isc,iec
if ((excess_cover(i,j) > 0.0) .and. (mca_ice(i,j,k) > 0.0)) then
compression_ratio = mH_ice(i,j,k) / IG%mH_cat_bound(k+1)
if (part_sz(i,j,k)*(1.0-compression_ratio) >= excess_cover(i,j)) then
! This category is compacted, but not to the point that it needs to
! be transferred to a thicker layer.
Icompress_here = part_sz(i,j,k) / (part_sz(i,j,k) - excess_cover(i,j))
mH_ice(i,j,k) = mH_ice(i,j,k) * Icompress_here
mH_snow(i,j,k) = mH_snow(i,j,k) * Icompress_here
mH_pond(i,j,k) = mH_pond(i,j,k) * Icompress_here
part_sz(i,j,k) = part_sz(i,j,k) - excess_cover(i,j)
excess_cover(i,j) = 0.0
else
! Mass from this category needs to be transfered to the next thicker
! category after being compacted to thickness IG%mH_cat_bound(k+1).
excess_cover(i,j) = excess_cover(i,j) - part_sz(i,j,k)*(1.0-compression_ratio)
part_sz(i,j,k+1) = part_sz(i,j,k+1) + part_sz(i,j,k)*compression_ratio
mca_trans = mca_ice(i,j,k) ; mca_old = mca_ice(i,j,k+1)
trans_ice(i,K) = mca_trans ; do_any = .true.
mca_ice(i,j,k+1) = mca_ice(i,j,k+1) + mca_trans
Imca_new = 1.0 / mca_ice(i,j,k+1)
! This is not quite right, or at least not consistent.
! mH_ice(i,j,k+1) = (mca_trans*IG%mH_cat_bound(k+1) + &
! mca_old*mH_ice(i,j,k+1)) * Imca_new
mH_ice(i,j,k+1) = mca_ice(i,j,k+1) / part_sz(i,j,k+1)
if (mca_snow(i,j,k) > 0.0) then
snow_trans = mca_snow(i,j,k) ; snow_old = mca_snow(i,j,k+1)
trans_snow(i,K) = snow_trans
mca_snow(i,j,k+1) = mca_snow(i,j,k+1) + mca_snow(i,j,k)
endif
mH_snow(i,j,k+1) = mca_snow(i,j,k+1) / part_sz(i,j,k+1)
if (mca_pond(i,j,k) > 0.0) then
pond_trans = mca_pond(i,j,k) ; pond_old = mca_pond(i,j,k+1)
trans_pond(i,K) = pond_trans
mca_pond(i,j,k+1) = mca_pond(i,j,k+1) + mca_pond(i,j,k)
endif
mH_pond(i,j,k+1) = mca_pond(i,j,k+1) / part_sz(i,j,k+1)
mca_ice(i,j,k) = 0.0 ; mca_snow(i,j,k) = 0.0 ; mca_pond(i,j,k) = 0.0
mH_ice(i,j,k) = 0.0 ; mH_snow(i,j,k) = 0.0 ; mH_pond(i,j,k) = 0.0
part_sz(i,j,k) = 0.0
endif
endif
enddo ; enddo
if (do_any) then
!The following subroutine calls are not thread-safe. There is a pointer in the subroutine
!(Tr) that could be redirected from underneath a thread when another goes in.
!$OMP CRITICAL (safepointer)
call advect_tracers_thicker(mca0_ice, trans_ice, G, IG, CS%SIS_tr_adv_CSp, &
TrReg, .false., j, isc, iec)
call advect_tracers_thicker(mca0_snow, trans_snow, G, IG, CS%SIS_tr_adv_CSp, &
TrReg, .true., j, isc, iec)
!$OMP END CRITICAL (safepointer)
endif
k=nCat
do i=isc,iec
if (excess_cover(i,j) > 0.0) then
if (part_sz(i,j,k) <= 1.0) &
call SIS_error(FATAL, &
"Category CatIce part_sz inconsistent with excess cover.")
Icompress_here = part_sz(i,j,k) / (part_sz(i,j,k) - excess_cover(i,j))
mH_ice(i,j,k) = mH_ice(i,j,k) * Icompress_here
mH_snow(i,j,k) = mH_snow(i,j,k) * Icompress_here
mH_pond(i,j,k) = mH_pond(i,j,k) * Icompress_here
part_sz(i,j,k) = part_sz(i,j,k) - excess_cover(i,j)
excess_cover(i,j) = 0.0
endif
enddo
endif
enddo
if (CS%check_conservation) then
! Check for consistency between mca_ice, mH_ice, and part_sz.
do k=1,nCat ; do j=jsc,jec ; do i=isc,iec
if ((mca_ice(i,j,k) == 0.0) .and. (mH_ice(i,j,k)*part_sz(i,j,k) /= 0.0)) then
write(mesg,'("Compress mismatch at ",3(i8),": mca, h, part, hxp = zero, ",3(1pe15.6))') &
i, j, k, mH_ice(i,j,k), part_sz(i,j,k), mH_ice(i,j,k)*part_sz(i,j,k)
call SIS_error(WARNING, mesg, all_print=.true.)
endif
if (abs(mca_ice(i,j,k) - mH_ice(i,j,k)*part_sz(i,j,k)) > 1e-12*mca_ice(i,j,k)) then
write(mesg,'("Compress mismatch at ",3(i8),": mca, h, part, hxp = ",4(1pe15.6))') &
i, j, k, mca_ice(i,j,k), mH_ice(i,j,k), part_sz(i,j,k), mH_ice(i,j,k)*part_sz(i,j,k)
call SIS_error(WARNING, mesg, all_print=.true.)
endif
enddo ; enddo ; enddo
endif
end subroutine compress_ice
!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~!
subroutine slab_ice_advect(uc, vc, trc, stop_lim, dt_slow, G, CS)
type(SIS_hor_grid_type), intent(inout) :: G
real, dimension(SZIB_(G),SZJ_(G)), intent(in ) :: uc ! x-face advecting velocity
real, dimension(SZI_(G),SZJB_(G)), intent(in ) :: vc ! y-face advecting velocity
real, dimension(SZI_(G),SZJ_(G)), intent(inout) :: trc ! tracer to advect
real, intent(in ) :: stop_lim
real, intent(in ) :: dt_slow
type(ice_transport_CS), pointer :: CS
! Arguments: uc - The zonal ice velocity, in m s-1.
! (in) vc - The meridional ice velocity, in m s-1.
! (inout) trc - A tracer concentration times thickness, in m kg kg-1 or
! other units.
! (in) stop_lim - ?
! (in) dt_slow - The amount of time over which the ice dynamics are to be
! advanced, in s.
! (in) G - The ocean's grid structure.
! (in/out) CS - A pointer to the control structure for this module.
real, dimension(SZIB_(G),SZJ_(G)) :: uflx
real, dimension(SZI_(G),SZJB_(G)) :: vflx
real :: avg, dif
real :: dt_adv
integer :: l, i, j, isc, iec, jsc, jec
isc = G%isc ; iec = G%iec ; jsc = G%jsc ; jec = G%jec
if (CS%adv_sub_steps==0) return;
dt_adv = dt_slow/CS%adv_sub_steps
do l=1,CS%adv_sub_steps
do j=jsc,jec ; do I=isc-1,iec
avg = ( trc(i,j) + trc(i+1,j) )/2
dif = trc(i+1,j) - trc(i,j)
if( avg > stop_lim .and. uc(I,j) * dif > 0.0) then
uflx(I,j) = 0.0
else if( uc(i,j) > 0.0 ) then
uflx(I,j) = uc(I,j) * trc(i,j) * G%dy_Cu(I,j)
else
uflx(I,j) = uc(I,j) * trc(i+1,j) * G%dy_Cu(I,j)
endif
enddo ; enddo
do J=jsc-1,jec ; do i=isc,iec
avg = ( trc(i,j) + trc(i,j+1) )/2
dif = trc(i,j+1) - trc(i,j)
if( avg > stop_lim .and. vc(i,J) * dif > 0.0) then
vflx(i,J) = 0.0
else if( vc(i,J) > 0.0 ) then
vflx(i,J) = vc(i,J) * trc(i,j) * G%dx_Cv(i,J)
else
vflx(i,J) = vc(i,J) * trc(i,j+1) * G%dx_Cv(i,J)
endif
enddo ; enddo
do j=jsc,jec ; do i=isc,iec
trc(i,j) = trc(i,j) + dt_adv * ((uflx(I-1,j) - uflx(I,j)) + &
(vflx(i,J-1) - vflx(i,J)) ) * G%IareaT(i,j)
enddo ; enddo
call pass_var(trc, G%Domain)
enddo
end subroutine slab_ice_advect
subroutine get_total_amounts(mH_ice, mH_snow, part_sz, G, IG, tot_ice, tot_snow)
type(SIS_hor_grid_type), intent(inout) :: G
type(ice_grid_type), intent(inout) :: IG
real, dimension(SZI_(G),SZJ_(G),SZCAT_(IG)), intent(in) :: mH_ice, mH_snow
real, dimension(SZI_(G),SZJ_(G),0:SZCAT_(IG)), intent(in) :: part_sz
type(EFP_type), intent(out) :: tot_ice, tot_snow
! Arguments: part_sz - The fractional ice concentration within a cell in each
! thickness category, nondimensional, 0-1 at the end, in/out.
! (in) mH_ice - The mass per unit area of the ice in each
! category in units of H (often kg m-2).
! (in) mH_snow - The mass per unit area of the snow atop the
! ice in each category in units of H (often kg m-2).
! (in) G - The ocean's grid structure.
! (out) tot_ice - The globally integrated total ice, in kg.
! (out) tot_snow - The globally integrated total snow, in kg.
real, dimension(G%isc:G%iec, G%jsc:G%jec) :: sum_mca_ice, sum_mca_snow
real :: total
integer :: i, j, k, m, isc, iec, jsc, jec
isc = G%isc ; iec = G%iec ; jsc = G%jsc ; jec = G%jec
sum_mca_ice(:,:) = 0.0
sum_mca_snow(:,:) = 0.0
do k=1,IG%CatIce ; do j=jsc,jec ; do i=isc,iec
sum_mca_ice(i,j) = sum_mca_ice(i,j) + G%areaT(i,j) * (part_sz(i,j,k)*mH_ice(i,j,k))
sum_mca_snow(i,j) = sum_mca_snow(i,j) + G%areaT(i,j) * (part_sz(i,j,k)*mH_snow(i,j,k))
enddo ; enddo ; enddo