!!****f* HYCOM_2.1.03/icemodels_advect !! !! NAME !! icemodels_advect - Step ice model one time step forward !! !! SYNOPSIS !! subroutine icemodels_advect() !! !! !! DESCRIPTION !! This is the ice advection routine in NERSC-HYCOM. It is the top- !! level logic for advectong scalar fields (hicem, ficem etc). !! !! !! INPUTS !! !! SIDE EFFECTS !! called. !! !! WARNINGS !! Different CPP options will change this routine. CPP options currently !! implemented are ICE, EVP_MPI and ICESTATE. !! !! !! PARAMETERS !! fice_max Maximum allowed ice concentration. From module !! mod_common_ice, set in subroutine icedat. !! !! fice_min Set locally. !! !! !! AUTHOR !! Knut Arild Liseter !! !! CREATION DATE !! 25th Feb 2008 !! !! MODIFICATIONS !! 9th Jun 2008 - Bug fix in diffusion !! 9th Jun 2008 - multiplied advection variables with tenm to get !! advected variables on order of 1 !! SOURCE !! module m_icemodels_advect use mod_xc contains subroutine icemodels_advect() #if defined (ICE) use mod_common_ice #elif defined (ICESTATE) use mod_icestate , only: icestate, nthick, nlaymax, epsil1, & epsil0,itst,jtst, & rhosnwmin, tice_m, albi_mlt, nlay #if defined (SSNOWD) & ,cvsnw #endif #if defined(ICEAGE) & ,age_max #endif use mod_icestate_tools , only: clear_ice #endif use mod_common_ice, only: iceu,icev,iceadv use mod_advem implicit none integer :: i,j,l,k,oldmargin,hk,hl,its,jts real, dimension(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) :: & dummy1, dummy2, snwvol, icevol, snwvol0, & iuflx, ivflx,newicevol, farea, & ifld, ficem_old, s_iuflx, s_ivflx #if defined(ALBSNW_EVOL) & ,albsnw #endif #if defined(SSNOWD_ICE) & ,hmlt,hpcp #endif #if defined (TEST_ICE_AGE) & ,crdg, c_l, ridgearea, fyage, fyageold, fyarea real, parameter :: kridge=4. #endif #if defined (ICESTATE) real, dimension(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) :: & rhosnw, qbrine, albs, tsrf, ficem, farea0, icevol0, & c_iuflx, c_ivflx, v_ivflx, v_iuflx #if defined (SSNOWD) & ,prcp,melt #endif #if defined (ICEAGE) & ,age #endif real, dimension(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,nlaymax) :: & vtp #endif real :: offset,flxdiv,factor, icedf real, parameter :: fice_min=0.05 ! Should be gotten from mod_common_ice include 'common_blocks.h' C --- define step function; step=1 if xx1.ge.xx2 ; =0 if xx1.lt.xx2 real :: xx1, xx2, step step(xx1,xx2)=(1.+sign(1.,xx1-xx2))*.5 c --- Keep old margin - reset at end of routine oldmargin=margin c --- ------------------------------------------------------------------- c --- Setup of advection fluxes c --- ------------------------------------------------------------------- c c --- Ice flux variables are now initialized on the full margin - we tile later margin=nbdy C$OMP PARALLEL DO PRIVATE(j,l,i) C$OMP&SCHEDULE(STATIC,jblk) do j=1-nbdy,jdm+nbdy do i=1-nbdy,idm+nbdy dummy1(i,j)=tenm dummy2(i,j)=dummy1(i,j) iuflx(i,j)=0. ivflx(i,j)=0. end do end do C$OMP END PARALLEL DO c --- Set up ice variables as "layered" - so that integrating variable c --- over a layer retrieves origial fields. iuflx and ivflux Set up c --- here margin=nbdy-1 ! due to i+1,i-1 C$OMP PARALLEL DO PRIVATE(j,l,i) C$OMP&SCHEDULE(STATIC,jblk) do j=1-margin,jj+margin C c --- Set up u-fluxes do l=1,isu(j) do i=max(1-margin,ifu(j,l)),min(ii+margin,ilu(j,l)) iuflx(i,j)=iceu(i,j)*scuy(i,j)*dummy1(i-1,j) end do end do c --- Set up v-fluxes do l=1,isv(j) do i=max(1-margin,ifv(j,l)),min(ii+margin,ilv(j,l)) ivflx(i,j)=icev(i,j)*scvx(i,j)*dummy1(i,j-1) end do end do end do c --- Set up before and after fake layer thickness margin=nbdy-1 ! due to i+1,i-1 C$OMP PARALLEL DO PRIVATE(j,l,i,flxdiv,offset) C$OMP&SCHEDULE(STATIC,jblk) do j=1-margin,jj+margin do l=1,isp(j) do i=max(1-margin,ifp(j,l)),min(ii+margin,ilp(j,l)) flxdiv=((iuflx(i+1,j) -iuflx(i,j) ) & +(ivflx(i,j+1) -ivflx(i,j) ))*baclin*scp2i(i,j) dummy2(i,j)=dummy1(i,j)-flxdiv offset=min(0.,dummy1(i,j),dummy2(i,j)) dummy2(i,j)=dummy2(i,j)-offset dummy1(i,j)=dummy1(i,j)-offset end do end do end do C$OMP END PARALLEL DO call xctilr(dummy1(1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call xctilr(dummy2(1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call xctilr(iuflx (1-nbdy,1-nbdy),1,1, 6,6, halo_uv) call xctilr(ivflx (1-nbdy,1-nbdy),1,1, 6,6, halo_vv) ! --- ------------------------------------------------------------------- ! --- Standard ice model advection + diffusion follows. ! --- ------------------------------------------------------------------- #if defined (ICE) ! APPROACH 1 : ice advection using MPDATA ! APPROACH 2 : ice advection using WENO c ! WENO is the default advection sceheme #if ! defined (APPROACH_1) #define APPROACH_2 #endif #if defined(APPROACH_1) c c --- Ice variables are now initialized on the full margin - we tile later margin=nbdy C$OMP PARALLEL DO PRIVATE(j,l,i) C$OMP&SCHEDULE(STATIC,jblk) do j=1-nbdy,jdm+nbdy do i=1-nbdy,idm+nbdy icevol(i,j)=0. snwvol(i,j)=0. farea (i,j)=0. #if defined (TEST_ICE_AGE) fyarea(i,j)=0. fyage (i,j)=0. fyageold(i,j)=0. #endif end do end do C$OMP END PARALLEL DO c --- Set up ice variables as "layered" - so that integrating variable c --- over a layer retrieves origial fields. Also correct for flux c --- divergence. Note that this may be better stated in terms of ice c --- volume rather than a fake layer thickness. margin=nbdy-1 ! due to i+1,i-1 C$OMP PARALLEL DO PRIVATE(j,l,i) C$OMP&SCHEDULE(STATIC,jblk) do j=1-margin,jj+margin C c --- Set up advection variables do l=1,isp(j) do i=max(1-margin,ifp(j,l)),min(ii+margin,ilp(j,l)) C c --- Now these are "layered", eg farea*dummy1 gives ice conc. icevol(i,j)=ficem(i,j)*hicem(i,j)*tenm/dummy1(i,j) snwvol(i,j)=ficem(i,j)*hsnwm(i,j)*tenm/dummy1(i,j) farea (i,j)=ficem(i,j)*tenm/dummy1(i,j) #if defined (TEST_ICE_AGE) fyarea (i,j)=fy_frac (i,j)*tenm/dummy1(i,j) fyage (i,j)=fy_age (i,j)*fy_frac(i,j)*tenm/dummy1(i,j) fyageold (i,j)=fy_age (i,j) ridgearea(i,j)=rdg_frac(i,j)*tenm/dummy1(i,j) #endif /*TEST_ICE_AGE*/ end do end do end do C$OMP END PARALLEL DO C c --- Tile and advect variables. For now use the mpdata routine - c --- which does not use middle time step. After advection "integrate" c --- field to recover margin=nbdy call xctilr(icevol(1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call xctilr(snwvol(1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call xctilr(farea (1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call advem(1,farea,farea,iuflx,ivflx, & dummy1,dummy2,0.,scp2,scp2i,baclin ) call advem(1,icevol,icevol,iuflx,ivflx, & dummy1,dummy2,0.,scp2,scp2i,baclin ) call advem(1,snwvol,snwvol,iuflx,ivflx, & dummy1,dummy2,0.,scp2,scp2i,baclin ) ficem=farea*dummy2/tenm icevol=icevol*dummy2/tenm snwvol=snwvol*dummy2/tenm #if defined (TEST_ICE_AGE) call xctilr(ridgearea(1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call xctilr(fyarea (1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call xctilr(fyage (1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call advem(1,fyarea,fyarea,iuflx,ivflx, & dummy1,dummy2,0.,scp2,scp2i,baclin) call advem(1,fyage,fyage,iuflx,ivflx, & dummy1,dummy2,0.,scp2,scp2i,baclin) call advem(1,ridgearea,ridgearea,iuflx,ivflx, & dummy1,dummy2,0.,scp2,scp2i,baclin) ridgearea=ridgearea*dummy2/tenm fyarea =fyarea *dummy2/tenm fyage =fyage *dummy2/tenm #endif /*TEST_ICE_AGE*/ ! Artificial ridging Cdiag tmp_new_icearea=ficem*scp2 where (ficem > fice_max ) #if defined (TEST_ICE_AGE) ! This is the fraction to be ridged crdg=ficem-fice_max ! This is the level ice to be removed. ! k*h_level is the thickness of ice ridged in this way. ! h_level is unknown. We only operate with mean ice thickness ! here. c_l=crdg*kridge/(kridge-1) ! Remove fy area. c_l is removed. max is needed in case ! my level ice (or ridged ice) is removed as well. ! Note that both my and fy level ! ice is assumed to have the same thickness in this ! approximation. fyarea =max(0.,fyarea - c_l) ! increase in ridged area. min is needed in case ridged ice is ! re-ridged. (In this case ridged ice is not conserved) ridgearea =min(1.,ridgearea + c_l/kridge) #endif ficem =fice_max else where (ficem0.) #if defined (TEST_ICE_AGE) fyarea =fyarea * (1. + fice_min-ficem) ridgearea=ridgearea * (1. + fice_min-ficem) #endif /*TEST_ICE_AGE*/ ficem=fice_min end where ! NB - Should check the logic here where (ficem >= fice_min ) hicem=icevol/ficem hsnwm=snwvol/ficem end where #if defined (TEST_ICE_AGE) fy_frac=fyarea rdg_frac=ridgearea where (fy_frac>1e-3) fy_age = fyage/fy_frac elsewhere fy_age = fyageold end where #endif /*TEST_ICE_AGE*/ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! Diffusion of variables starts here .. !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! Use 1/5 "temdf2" as diffusion velocity icedf=temdf2*0.2 icevol=hicem*ficem snwvol=hsnwm*ficem ficem_old=ficem margin=nbdy-1 ! due to i+1, i-1 do k=1,3 if (k==1) then ifld=ficem elseif (k==2) then ifld=icevol elseif (k==3) then ifld=snwvol end if !$OMP PARALLEL DO PRIVATE(j,l,i,factor) !$OMP& SCHEDULE(STATIC,jblk) do j=1-margin,jj+margin do l=1,isu(j) do i=max(1-margin,ifu(j,l)),min(ii+margin,ilu(j,l)) factor=icedf*aspux(i,j)*scuy(i,j)* & min(step(ficem_old(i ,j),fice_min), & step(ficem_old(i-1,j),fice_min)) iuflx(i,j)=factor*(ifld(i-1,j)-ifld(i, j)) enddo enddo do l=1,isv(j) do i=max(1-margin,ifv(j,l)),min(ii+margin,ilv(j,l)) factor=icedf*aspvy(i,j)*scvx(i,j)* & min(step(ficem_old(i,j ),fice_min), & step(ficem_old(i,j-1),fice_min)) ivflx(i,j)=factor*(ifld(i,j-1)-ifld(i,j)) enddo enddo enddo C$OMP END PARALLEL DO !$OMP PARALLEL DO PRIVATE(j,l,i,factor) !$OMP& SCHEDULE(STATIC,jblk) do j=1-margin,jj+margin do l=1,isp(j) do i=max(1-margin,ifp(j,l)),min(ii+margin,ilp(j,l)) factor=-delt1/scp2(i,j) util1(i,j)=(iuflx(i+1,j)-iuflx(i,j) & +ivflx(i,j+1)-ivflx(i,j))*factor ifld(i,j)=ifld(i,j)+util1(i,j) enddo enddo enddo C$OMP END PARALLEL DO if (k==1) then ficem=ifld elseif (k==2) then icevol=ifld elseif (k==3) then snwvol=ifld end if end do !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! Final adjustment of fields !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! Adjustment for small numbers after diffusion !where (ficemfice_tol) ! ficem=fice_min !elsewhere (ficem<=fice_tol) ! ficem=0. ! hsnwm=0. ! hicem=0. !end where where (ficem0.) ficem=fice_min end where where (ficem >= fice_min ) hicem=icevol/ficem hsnwm=snwvol/ficem end where ! Tile final variables call xctilr(ficem( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) call xctilr(hicem( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) call xctilr(hsnwm( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) #if defined (TEST_ICE_AGE) call xctilr(fy_age ( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) call xctilr(fy_frac ( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) call xctilr(rdg_frac( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) #endif /*TEST_ICE_AGE*/ ! WENO : no diffusion is added to the transport fields #elif defined (APPROACH_2) do j=1-nbdy,jdm+nbdy do i=1-nbdy,idm+nbdy icevol(i,j)=0. snwvol(i,j)=0. farea (i,j)=0. #if defined (TEST_ICE_AGE) fyarea(i,j)=0. fyage (i,j)=0. fyageold(i,j)=0. #endif #if defined(ALBSNW_EVOL) albsnw(i,j)=0. #endif #if defined(SSNOWD_ICE) hmlt(i,j) =0. hpcp(i,j) =0. #endif end do end do margin=nbdy-1 ! due to i+1,i-1 C$OMP PARALLEL DO PRIVATE(j,l,i) C$OMP&SCHEDULE(STATIC,jblk) do j=1-margin,jj+margin C c --- Set up advection variables do l=1,isp(j) do i=max(1-margin,ifp(j,l)),min(ii+margin,ilp(j,l)) C icevol(i,j)=ficem(i,j)*hicem(i,j) snwvol(i,j)=ficem(i,j)*hsnwm(i,j) farea (i,j)=ficem(i,j) #if defined (TEST_ICE_AGE) fyarea (i,j)=fy_frac (i,j) fyage (i,j)=fy_age (i,j) * fy_frac(i,j) fyageold (i,j)=fy_age (i,j) ridgearea(i,j)=rdg_frac(i,j) #endif #if defined(ALBSNW_EVOL) albsnw(i,j)=ficem(i,j)*albsnwm(i,j) #endif #if defined(SSNOWD_ICE) !if(.not.(hmelt(i,j).ge.0)) then ! write(*,*) 'hmelt NaN av ad',i0+i,j0+j ! write(*,*) 'hmelt NaN av ad',hmelt(i,j) !endif hmlt(i,j) =ficem(i,j)*hmelt(i,j) hpcp(i,j) =ficem(i,j)*hprcp(i,j) #endif end do end do end do C$OMP END PARALLEL DO c --- Tile and advect variables. Use the WENO routine - c --- which does not use middle time step. margin=nbdy call xctilr(icevol(1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call xctilr(snwvol(1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call xctilr(farea (1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call iceadv(farea ,iceu,icev,scuy,scvx,scp2i,scp2,baclin) call iceadv(icevol,iceu,icev,scuy,scvx,scp2i,scp2,baclin) call iceadv(snwvol,iceu,icev,scuy,scvx,scp2i,scp2,baclin) #if defined (TEST_ICE_AGE) call xctilr(ridgearea(1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call xctilr(fyarea (1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call xctilr(fyage (1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call iceadv(ridgearea,iceu,icev,scuy,scvx,scp2i,scp2,baclin) call iceadv(fyarea ,iceu,icev,scuy,scvx,scp2i,scp2,baclin) call iceadv(fyage ,iceu,icev,scuy,scvx,scp2i,scp2,baclin) #endif #if defined(ALBSNW_EVOL) call xctilr(albsnw(1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call iceadv(albsnw,iceu,icev,scuy,scvx,scp2i,scp2,baclin) #endif #if defined(SSNOWD_ICE) call xctilr(hmlt (1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call iceadv(hmlt ,iceu,icev,scuy,scvx,scp2i,scp2,baclin) call xctilr(hpcp (1-nbdy,1-nbdy),1,1, 6,6, halo_ps) call iceadv(hpcp ,iceu,icev,scuy,scvx,scp2i,scp2,baclin) #endif ficem=farea where (ficem > fice_max ) #if defined (TEST_ICE_AGE) ! This is the fraction to be ridged crdg=ficem-fice_max ! This is the level ice to be removed. ! k*h_level is the thickness of ice ridged in this way. ! h_level is unknown. We only operate with mean ice thickness ! here. c_l=crdg*kridge/(kridge-1) ! Remove fy area. c_l is removed. max is needed in case ! my level ice (or ridged ice) is removed as well. ! Note that both my and fy level ! ice is assumed to have the same thickness in this ! approximation. fyarea =max(0.,fyarea - c_l) ! increase in ridged area. min is needed in case ridged ice is ! re-ridged. (In this case ridged ice is not conserved) ridgearea =min(1.,ridgearea + c_l/kridge) #endif ficem =fice_max else where (ficem0.) #if defined (TEST_ICE_AGE) fyarea =fyarea * (1. + fice_min-ficem) ridgearea=ridgearea * (1. + fice_min-ficem) #endif ficem=fice_min end where ! NB - Should check the logic here where (ficem >= fice_min ) hicem=icevol/ficem hsnwm=snwvol/ficem #if defined(ALBSNW_EVOL) albsnwm=albsnw/ficem #endif #if defined(SSNOWD_ICE) hmelt =max(hmlt/ficem,0.) hprcp =max(hpcp/ficem,0.) #endif end where #if defined (TEST_ICE_AGE) fy_frac=fyarea rdg_frac=ridgearea where (fy_frac>1e-3) fy_age = fyage/fy_frac elsewhere fy_age = fyageold end where #endif !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! Final adjustment of fields !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! Adjustment for small numbers after diffusion !where (ficemfice_tol) ! ficem=fice_min !elsewhere (ficem<=fice_tol) ! ficem=0. ! hsnwm=0. ! hicem=0. !end where where (ficem0.) ficem=fice_min end where where (ficem >= fice_min ) hicem=icevol/ficem hsnwm=snwvol/ficem #if defined(ALBSNW_EVOL) albsnwm=albsnw/ficem #endif #if defined(SSNOWD_ICE) hmelt =max(hmlt/ficem,0.) hprcp =max(hpcp/ficem,0.) #endif end where ! Tile final variables call xctilr(ficem( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) call xctilr(hicem( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) call xctilr(hsnwm( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) #if defined (TEST_ICE_AGE) call xctilr(fy_age ( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) call xctilr(fy_frac ( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) call xctilr(rdg_frac( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) #endif #if defined(ALBSNW_EVOL) call xctilr(albsnwm( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) #endif #if defined(SSNOWD_ICE) call xctilr(hmelt ( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) call xctilr(hprcp ( 1-nbdy,1-nbdy),1, 1, 6,6, halo_ps) #endif #endif #elif defined (ICESTATE) c --- ------------------------------------------------------------------- c --- ICESTATE ice model advection + diffusion follows. c --- ------------------------------------------------------------------- c ! APPROACH 1 and 2 : uses MPADATA. Do not work with ICESTATE. ! APPROACH 3 : WENO. Must be used with ICESTATE #define ADV_APPROACH_3 #if defined (ADV_APPROACH_1) vtp=0.0 do hk=1,nthick c --- NB: In this approach we use ice concentration as ``layer'' variable in c --- the HYCOM advection routines. c margin=nbdy C$OMP PARALLEL DO PRIVATE(j,l,i) C$OMP&SCHEDULE(STATIC,jblk) do j=1-nbdy,jj+nbdy do i=1-nbdy,ii+nbdy c --- Used in advection farea0(i,j) =icestate(i,j)%ice(hk)%fice icevol0(i,j)=icestate(i,j)%ice(hk)%hice* & icestate(i,j)%ice(hk)%fice snwvol0(i,j)=icestate(i,j)%ice(hk)%hsnw* & icestate(i,j)%ice(hk)%fice c --- Conservation of snow mass rhosnw(i,j)=icestate(i,j)%ice(hk)%rhosnw c --- Conservation of energy vtp (i,j,1:nlay(hk))= & icestate(i,j)%ice(hk)%vtp(1:nlay(hk)) qbrine(i,j)=icestate(i,j)%ice(hk)%qstore c --- Properties of the surface state. albs (i,j)=icestate(i,j)%ice(hk)%albs tsrf (i,j)=icestate(i,j)%ice(hk)%tsrf end do end do C$OMP END PARALLEL DO c --- Calculate fluxes needed for ice concentration, ice volume and c --- snow volume - related advecton. margin=nbdy-1 ! due to i+1,i-1 C$OMP PARALLEL DO PRIVATE(j,l,i) C$OMP&SCHEDULE(STATIC,jblk) do j=1-margin,jj+margin C c --- Set up u-fluxes do l=1,isu(j) do i=max(1-margin,ifu(j,l)),min(ii+margin,ilu(j,l)) iuflx(i,j)=iceu(i,j)*scuy(i,j) c_iuflx(i,j)=iceu(i,j)*scuy(i,j)*farea0 (i-1,j) v_iuflx(i,j)=iceu(i,j)*scuy(i,j)*icevol0(i-1,j) s_iuflx(i,j)=iceu(i,j)*scuy(i,j)*snwvol0(i-1,j) end do end do c --- Set up v-fluxes do l=1,isv(j) do i=max(1-margin,ifv(j,l)),min(ii+margin,ilv(j,l)) ivflx(i,j)=icev(i,j)*scvx(i,j) c_ivflx(i,j)=icev(i,j)*scvx(i,j)*farea0(i,j-1) v_ivflx(i,j)=icev(i,j)*scvx(i,j)*icevol0(i,j-1) s_ivflx(i,j)=icev(i,j)*scvx(i,j)*snwvol0(i,j-1) end do end do end do c --- No need to limit fluxes here, done in adv schemes. Probably need c --- explicit diffusion at some stage. !c --- Set up before and after fake layer thickness ! margin=nbdy-1 ! due to i+1,i-1 !C$OMP PARALLEL DO PRIVATE(j,l,i,flxdiv,offset) !C$OMP&SCHEDULE(STATIC,jblk) ! do j=1-margin,jj+margin ! do l=1,isp(j) ! do i=max(1-margin,ifp(j,l)),min(ii+margin,ilp(j,l)) ! flxdiv=((c_iuflx(i+1,j) -c_iuflx(i,j) ) ! & +(c_ivflx(i,j+1) -c_ivflx(i,j) ))*baclin*scp2i(i,j) ! dummy2(i,j)=dummy1(i,j)-flxdiv ! offset=min(0.,dummy1(i,j),dummy2(i,j)) ! dummy2(i,j)=dummy2(i,j)-offset ! dummy1(i,j)=dummy1(i,j)-offset ! end do ! end do ! end do !C$OMP END PARALLEL DO dummy1=1. dummy2=1. call xctilr(farea0 (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(icevol0 (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(snwvol0 (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) c --- Set up before and after ice thickness and ice volume farea =farea0 icevol=icevol0 snwvol=snwvol0 c --- 1) Advect the main conserved variables. call advem(1,snwvol,snwvol,c_iuflx,c_ivflx,dummy1,dummy2, & 0.,scp2,scp2i,baclin ) call advem(1,icevol,icevol,c_iuflx,c_ivflx,dummy1,dummy2, & 0.,scp2,scp2i,baclin ) call advem(1,farea,farea ,c_iuflx,c_ivflx,dummy1,dummy2, & 0.,scp2,scp2i,baclin ) c --- 2) Advect different fields using conserved variables as ``layer thickness'' call xctilr(farea (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(icevol (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(snwvol (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(rhosnw (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(qbrine (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(albs (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(tsrf (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(vtp (1-nbdy,1-nbdy,1),1,nlay(hk), 6,6, halo_ps) c c --- Conservation of snow mass. "dp" is snow volume call advem(1,rhosnw,rhosnw,s_iuflx,s_ivflx, & snwvol0,snwvol,0.,scp2,scp2i,baclin ) c --- Conservation of brine store energy. "dp" is ice volume (= ice mass) call advem(1,qbrine,qbrine,v_iuflx,v_ivflx, & icevol0,icevol,0.,scp2,scp2i,baclin ) c --- "Conservation" of surface albedo. "dp" is ice area fraction call advem(1,albs ,albs ,c_iuflx,c_ivflx, & farea0,farea,0.,scp2,scp2i,baclin ) c --- "Conservation" of surface temp. "dp" is ice area fraction call advem(1,tsrf ,tsrf ,c_iuflx,c_ivflx, & farea0,farea,0.,scp2,scp2i,baclin ) do hl=1,nlay(hk) c --- "Conservation" of ice temp. "dp" is ice volume call advem(1,vtp(1,1,hl) ,vtp(1,1,hl) ,v_iuflx,v_ivflx, & icevol0,icevol,0.,scp2,scp2i,baclin ) end do c --- Convert from physically conserved quantities to icestate fields C$OMP PARALLEL DO PRIVATE(j,l,i) C$OMP&SCHEDULE(STATIC,jblk) do j=1-nbdy,jj+nbdy do i=1-nbdy,ii+nbdy if (farea(i,j)>epsil0 .and. icevol(i,j)>epsil0) then icestate(i,j)%ice(hk)%fice=farea (i,j) c --- Properties of the surface state - icestate(i,j)%ice(hk)%albs=albs(i,j) icestate(i,j)%ice(hk)%tsrf=tsrf(i,j) c --- Conservation of volume fields icestate(i,j)%ice(hk)%hice=icevol(i,j)/farea(i,j) icestate(i,j)%ice(hk)%hsnw=snwvol(i,j)/farea(i,j) c --- Conservation of mass fields icestate(i,j)%ice(hk)%rhosnw=rhosnw(i,j) c --- Conservation of energy fields icestate(i,j)%ice(hk)%qstore=qbrine(i,j) icestate(i,j)%ice(hk)%vtp(1:nlay(hk))= & vtp (i,j,1:nlay(hk)) else icestate(i,j)%ice(hk)=clear_ice(icestate(i,j)%ice(hk), & nlay(hk)) end if end do end do C$OMP END PARALLEL DO end do !hk #elif defined (ADV_APPROACH_2) vtp=0.0 do hk=1,nthick C$OMP PARALLEL DO PRIVATE(j,l,i) C$OMP&SCHEDULE(STATIC,jblk) do j=1-nbdy,jj+nbdy do i=1-nbdy,ii+nbdy farea (i,j)=icestate(i,j)%ice(hk)%fice*tenm/dummy1(i,j) c --- Conservation of volume icevol(i,j)=icestate(i,j)%ice(hk)%hice* & icestate(i,j)%ice(hk)%fice*tenm/dummy1(i,j) snwvol(i,j)=icestate(i,j)%ice(hk)%hsnw* & icestate(i,j)%ice(hk)%fice*tenm/dummy1(i,j) c --- Conservation of mass rhosnw(i,j)=icestate(i,j)%ice(hk)%rhosnw* & icestate(i,j)%ice(hk)%fice* & icestate(i,j)%ice(hk)%hsnw* & tenm/dummy1(i,j) c --- Conservation of energy vtp (i,j,1:nlay(hk))= & icestate(i,j)%ice(hk)%hice* & icestate(i,j)%ice(hk)%fice* & icestate(i,j)%ice(hk)%vtp(1:nlay(hk))* & tenm/dummy1(i,j) qbrine(i,j)=icestate(i,j)%ice(hk)%fice* c & icestate(i,j)%ice(hk)%hice* & icestate(i,j)%ice(hk)%qstore* & tenm/dummy1(i,j) c --- Properties of the surface state. albs (i,j)=icestate(i,j)%ice(hk)%albs* & icestate(i,j)%ice(hk)%fice*tenm/dummy1(i,j) tsrf (i,j)=icestate(i,j)%ice(hk)%tsrf* & icestate(i,j)%ice(hk)%fice*tenm/dummy1(i,j) end do end do C$OMP END PARALLEL DO c --- Tile and advect variables. For now use the mpdata routine - c --- which does not use middle time step. After advection "integrate" c --- field to recover margin=nbdy call xctilr(farea (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(icevol (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(snwvol (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(rhosnw (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(qbrine (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(albs (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(tsrf (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(vtp (1-nbdy,1-nbdy,1),1,nlay(hk), 6,6, halo_ps) call advem(1,farea,farea,iuflx,ivflx, & dummy1,dummy2,0.,scp2,scp2i,baclin ) call advem(1,icevol,icevol,iuflx,ivflx, & dummy1,dummy2,0.,scp2,scp2i,baclin ) call advem(1,snwvol,snwvol,iuflx,ivflx, & dummy1,dummy2,0.,scp2,scp2i,baclin ) call advem(1,rhosnw,rhosnw,iuflx,ivflx, & dummy1,dummy2,0.,scp2,scp2i,baclin ) call advem(1,qbrine,qbrine,iuflx,ivflx, & dummy1,dummy2,0.,scp2,scp2i,baclin ) call advem(1,albs ,albs ,iuflx,ivflx, & dummy1,dummy2,0.,scp2,scp2i,baclin ) call advem(1,tsrf ,tsrf ,iuflx,ivflx, & dummy1,dummy2,0.,scp2,scp2i,baclin ) do hl=1,nlay(hk) call advem(1,vtp(1,1,hl) ,vtp(1,1,hl) ,iuflx,ivflx, & dummy1,dummy2,0.,scp2,scp2i,baclin ) end do c c --- Recover from "layer-weighted" to physical farea =farea *dummy2/tenm icevol=icevol*dummy2/tenm snwvol=snwvol*dummy2/tenm rhosnw=rhosnw*dummy2/tenm qbrine=qbrine*dummy2/tenm albs =albs *dummy2/tenm tsrf =tsrf *dummy2/tenm do hl=1,nlay(hk) vtp(:,:,hl) =vtp(:,:,hl) *dummy2/tenm end do c --- Add diffusion at this point. Skipped for now c c --- Convert from physically conserved quantities to icestate fields C$OMP PARALLEL DO PRIVATE(j,l,i) C$OMP&SCHEDULE(STATIC,jblk) do j=1-nbdy,jj+nbdy do i=1-nbdy,ii+nbdy icestate(i,j)%ice(hk)%fice=farea (i,j) if (farea(i,j)>epsil0 .and. icevol(i,j)>epsil0) then c --- Properties of the surface state - icestate(i,j)%ice(hk)%albs=albs(i,j)/farea(i,j) icestate(i,j)%ice(hk)%tsrf=tsrf(i,j)/farea(i,j) c --- Conservation of volume fields icestate(i,j)%ice(hk)%hice=icevol(i,j)/farea(i,j) icestate(i,j)%ice(hk)%hsnw=snwvol(i,j)/farea(i,j) if (snwvol(i,j)>epsil0) then c --- Conservation of mass fields icestate(i,j)%ice(hk)%rhosnw=rhosnw(i,j)/snwvol(i,j) else icestate(i,j)%ice(hk)%rhosnw=rhosnwmin end if c --- Conservation of energy fields icestate(i,j)%ice(hk)%vtp(1:nlay(hk))= & vtp (i,j,1:nlay(hk))/icevol(i,j) c icestate(i,j)%ice(hk)%qstore=qbrine(i,j)/icevol(i,j) icestate(i,j)%ice(hk)%qstore=qbrine(i,j)/farea(i,j) else icestate(i,j)%ice(hk)= & clear_ice(icestate(i,j)%ice(hk),nlay(hk)) end if end do end do C$OMP END PARALLEL DO end do !hk #elif defined (ADV_APPROACH_3) c --- Ice variables are now initialized on the full margin - we tile later margin=nbdy C$OMP PARALLEL DO PRIVATE(j,l,i) C$OMP&SCHEDULE(STATIC,jblk) do j=1-nbdy,jdm+nbdy do i=1-nbdy,idm+nbdy icevol(i,j)=0. snwvol(i,j)=0. farea (i,j)=0. rhosnw(i,j)=0. qbrine(i,j)=0. albs (i,j)=0. tsrf (i,j)=0. #if defined (SSNOWD) melt (i,j)=0. prcp (i,j)=0. #endif #if defined (ICEAGE) age (i,j)=0. #endif end do end do vtp=0.0 do hk=1,nthick C$OMP PARALLEL DO PRIVATE(j,l,i) C$OMP&SCHEDULE(STATIC,jblk) do j=1-nbdy,jj+nbdy do i=1-nbdy,ii+nbdy farea (i,j)=icestate(i,j)%ice(hk)%fice c --- Conservation of volume icevol(i,j)=icestate(i,j)%ice(hk)%hice* & icestate(i,j)%ice(hk)%fice snwvol(i,j)=icestate(i,j)%ice(hk)%hsnw* & icestate(i,j)%ice(hk)%fice c --- Conservation of mass rhosnw(i,j)=icestate(i,j)%ice(hk)%rhosnw* & icestate(i,j)%ice(hk)%fice* & icestate(i,j)%ice(hk)%hsnw c --- Conservation of energy vtp (i,j,1:nlay(hk))= & icestate(i,j)%ice(hk)%hice* & icestate(i,j)%ice(hk)%fice* & icestate(i,j)%ice(hk)%vtp(1:nlay(hk)) qbrine(i,j)=icestate(i,j)%ice(hk)%fice* c & icestate(i,j)%ice(hk)%hice* & icestate(i,j)%ice(hk)%qstore c --- Properties of the surface state. albs (i,j)=icestate(i,j)%ice(hk)%albs* & icestate(i,j)%ice(hk)%fice tsrf (i,j)=icestate(i,j)%ice(hk)%tsrf* & icestate(i,j)%ice(hk)%fice #if defined (SSNOWD) prcp (i,j)=icestate(i,j)%ice(hk)%hprcp* & icestate(i,j)%ice(hk)%fice melt (i,j)=icestate(i,j)%ice(hk)%hmelt* & icestate(i,j)%ice(hk)%fice #endif #if defined (ICEAGE) age(i,j) = icestate(i,j)%ice(hk)%fice* & icestate(i,j)%ice(hk)%hice* & icestate(i,j)%ice(hk)%age #endif end do end do C$OMP END PARALLEL DO c --- Tile and advect variables. Use the WENO routine - c --- which does not use middle time step. After advection "integrate" c --- field to recover margin=nbdy call xctilr(farea (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(icevol (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(snwvol (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(rhosnw (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(qbrine (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(albs (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(tsrf (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(vtp (1-nbdy,1-nbdy,1),1,nlay(hk), 6,6, halo_ps) #if defined (SSNOWD) call xctilr(prcp (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) call xctilr(melt (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) #endif #if defined (ICEAGE) call xctilr(age (1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps) #endif c --- ------------------------------------------------------------------ c --- Advection is done with flux limited 3rd order WENO in space and c --- 2nd order Runge-Kutta in time c --- ------------------------------------------------------------------ call iceadv(farea ,iceu,icev,scuy,scvx,scp2i,scp2,baclin) call iceadv(icevol,iceu,icev,scuy,scvx,scp2i,scp2,baclin) call iceadv(snwvol,iceu,icev,scuy,scvx,scp2i,scp2,baclin) call iceadv(rhosnw,iceu,icev,scuy,scvx,scp2i,scp2,baclin) call iceadv(qbrine,iceu,icev,scuy,scvx,scp2i,scp2,baclin) call iceadv(albs ,iceu,icev,scuy,scvx,scp2i,scp2,baclin) call iceadv(tsrf ,iceu,icev,scuy,scvx,scp2i,scp2,baclin) do hl=1,nlay(hk) call iceadv(vtp(:,:,hl),iceu,icev,scuy,scvx,scp2i, & & scp2,baclin) end do #if defined (SSNOWD) call iceadv(prcp ,iceu,icev,scuy,scvx,scp2i,scp2,baclin) call iceadv(melt ,iceu,icev,scuy,scvx,scp2i,scp2,baclin) #endif #if defined (ICEAGE) call iceadv(age ,iceu,icev,scuy,scvx,scp2i,scp2,baclin) #endif c --- Convert from physically conserved quantities to icestate fields C$OMP PARALLEL DO PRIVATE(j,l,i) C$OMP&SCHEDULE(STATIC,jblk) do j=1-nbdy,jj+nbdy do i=1-nbdy,ii+nbdy icestate(i,j)%ice(hk)%fice=farea (i,j) if (farea(i,j)>epsil0 .and. icevol(i,j)>epsil0) then c --- Properties of the surface state - icestate(i,j)%ice(hk)%albs=albs(i,j)/farea(i,j) icestate(i,j)%ice(hk)%tsrf=tsrf(i,j)/farea(i,j) c --- Conservation of volume fields icestate(i,j)%ice(hk)%hice=icevol(i,j)/farea(i,j) icestate(i,j)%ice(hk)%hsnw=snwvol(i,j)/farea(i,j) if (snwvol(i,j)>epsil0) then c --- Conservation of mass fields icestate(i,j)%ice(hk)%rhosnw=rhosnw(i,j)/snwvol(i,j) else icestate(i,j)%ice(hk)%rhosnw=rhosnwmin end if c --- Conservation of energy fields icestate(i,j)%ice(hk)%vtp(1:nlay(hk))= & vtp (i,j,1:nlay(hk))/icevol(i,j) c icestate(i,j)%ice(hk)%qstore=qbrine(i,j)/icevol(i,j) icestate(i,j)%ice(hk)%qstore=qbrine(i,j)/farea(i,j) #if defined (SSNOWD) icestate(i,j)%ice(hk)%hprcp=prcp(i,j)/farea(i,j) !max avoids apparition of very small value for hmelt ! (for eks. : -1e-38) icestate(i,j)%ice(hk)%hmelt=max(0.,melt(i,j)/farea(i,j)) #endif #if defined(ICEAGE) icestate(i,j)%ice(hk)%age = min(age_max, & & max(0.,age(i,j)/icevol(i,j))) #endif else #if defined(SSNOWD) icestate(i,j)%ice(hk)= & clear_ice(icestate(i,j)%ice(hk),nlay(hk),cvsnw(hk)) #else icestate(i,j)%ice(hk)= & clear_ice(icestate(i,j)%ice(hk),nlay(hk)) #endif end if end do end do C$OMP END PARALLEL DO end do !hk #else #error - No advection method defined for ICESTATE in icemodels_advect #endif c c --- Mechanical redistribution done in mod_icestate_mechred. c --- sum(fice) may be > 1 at this point #endif /* ICE or ICESTATE */ ! Restore old margin margin=oldmargin end subroutine icemodels_advect end module m_icemodels_advect !!***