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DO jl = 1, jpl
pt_i (:,jl) = ptmi (:)
pt_s (:,jl) = ptms (:)
pt_su(:,jl) = ptmsu(:)
ps_i (:,jl) = psmi (:)
END DO
!
! == ponds == !
ALLOCATE( zfra(idim) )
! keep the same pond fraction atip/ati for each category
WHERE( pati(:) /= 0._wp ) ; zfra(:) = patip(:) / pati(:)
ELSEWHERE ; zfra(:) = 0._wp
END WHERE
DO jl = 1, jpl
pa_ip(:,jl) = zfra(:) * pa_i(:,jl)
END DO
! keep the same v_ip/v_i ratio for each category
WHERE( ( phti(:) * pati(:) ) /= 0._wp ) ; zfra(:) = ( phtip(:) * patip(:) ) / ( phti(:) * pati(:) )
ELSEWHERE ; zfra(:) = 0._wp
END WHERE
DO jl = 1, jpl
WHERE( pa_ip(:,jl) /= 0._wp ) ; ph_ip(:,jl) = zfra(:) * ( ph_i(:,jl) * pa_i(:,jl) ) / pa_ip(:,jl)
ELSEWHERE ; ph_ip(:,jl) = 0._wp
END WHERE
END DO
! keep the same v_il/v_i ratio for each category
WHERE( ( phti(:) * pati(:) ) /= 0._wp ) ; zfra(:) = ( phtil(:) * patip(:) ) / ( phti(:) * pati(:) )
ELSEWHERE ; zfra(:) = 0._wp
END WHERE
DO jl = 1, jpl
WHERE( pa_ip(:,jl) /= 0._wp ) ; ph_il(:,jl) = zfra(:) * ( ph_i(:,jl) * pa_i(:,jl) ) / pa_ip(:,jl)
ELSEWHERE ; ph_il(:,jl) = 0._wp
END WHERE
END DO
DEALLOCATE( zfra )
!
END SUBROUTINE ice_var_itd_1cMc
SUBROUTINE ice_var_itd_NcMc( phti, phts, pati , ph_i, ph_s, pa_i, &
& ptmi, ptms, ptmsu, psmi, patip, phtip, phtil, pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il )
!!-------------------------------------------------------------------
!!
!! ** Purpose : converting N-cat ice to jpl ice categories
!!
!! ice thickness distribution follows a gaussian law
!! around the concentration of the most likely ice thickness
!! (similar as iceistate.F90)
!!
!! ** Method: Iterative procedure
!!
!! 1) Fill ice cat that correspond to input thicknesses
!! Find the lowest(jlmin) and highest(jlmax) cat that are filled
!!
!! 2) Expand the filling to the cat jlmin-1 and jlmax+1
!! by removing 25% ice area from jlmin and jlmax (resp.)
!!
!! 3) Expand the filling to the empty cat between jlmin and jlmax
!! by a) removing 25% ice area from the lower cat (ascendant loop jlmin=>jlmax)
!! b) removing 25% ice area from the higher cat (descendant loop jlmax=>jlmin)
!!
!! ** Arguments : phti: N-cat ice thickness
!! phts: N-cat snow depth
!! pati: N-cat ice concentration
!!
!! ** Output : jpl-cat
!!
!! (Example of application: BDY forcings when inputs have N-cat /= jpl)
!!-------------------------------------------------------------------
REAL(wp), DIMENSION(:,:), INTENT(in) :: phti, phts, pati ! input ice/snow variables
REAL(wp), DIMENSION(:,:), INTENT(inout) :: ph_i, ph_s, pa_i ! output ice/snow variables
REAL(wp), DIMENSION(:,:), INTENT(in) :: ptmi, ptms, ptmsu, psmi, patip, phtip, phtil ! input ice/snow temp & sal & ponds
REAL(wp), DIMENSION(:,:), INTENT(inout) :: pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ! output ice/snow temp & sal & ponds
!
INTEGER , ALLOCATABLE, DIMENSION(:,:) :: jlfil, jlfil2
INTEGER , ALLOCATABLE, DIMENSION(:) :: jlmax, jlmin
REAL(wp), ALLOCATABLE, DIMENSION(:) :: z1_ai, z1_vi, z1_vs, ztmp, zfra
!
REAL(wp), PARAMETER :: ztrans = 0.25_wp
INTEGER :: ji, jl, jl1, jl2
INTEGER :: idim, icat
!!-------------------------------------------------------------------
!
idim = SIZE( phti, 1 )
icat = SIZE( phti, 2 )
!
! == thickness and concentration == !
! ! ---------------------- !
IF( icat == jpl ) THEN ! input cat = output cat !
! ! ---------------------- !
ph_i(:,:) = phti(:,:)
ph_s(:,:) = phts(:,:)
pa_i(:,:) = pati(:,:)
!
! == temperature and salinity and ponds == !
pt_i (:,:) = ptmi (:,:)
pt_s (:,:) = ptms (:,:)
pt_su(:,:) = ptmsu(:,:)
ps_i (:,:) = psmi (:,:)
pa_ip(:,:) = patip(:,:)
ph_ip(:,:) = phtip(:,:)
ph_il(:,:) = phtil(:,:)
! ! ---------------------- !
ELSEIF( icat == 1 ) THEN ! input cat = 1 !
! ! ---------------------- !
CALL ice_var_itd_1cMc( phti(:,1), phts(:,1), pati (:,1), &
& ph_i(:,:), ph_s(:,:), pa_i (:,:), &
& ptmi(:,1), ptms(:,1), ptmsu(:,1), psmi(:,1), patip(:,1), phtip(:,1), phtil(:,1), &
& pt_i(:,:), pt_s(:,:), pt_su(:,:), ps_i(:,:), pa_ip(:,:), ph_ip(:,:), ph_il(:,:) )
! ! ---------------------- !
ELSEIF( jpl == 1 ) THEN ! output cat = 1 !
! ! ---------------------- !
CALL ice_var_itd_Nc1c( phti(:,:), phts(:,:), pati (:,:), &
& ph_i(:,1), ph_s(:,1), pa_i (:,1), &
& ptmi(:,:), ptms(:,:), ptmsu(:,:), psmi(:,:), patip(:,:), phtip(:,:), phtil(:,:), &
& pt_i(:,1), pt_s(:,1), pt_su(:,1), ps_i(:,1), pa_ip(:,1), ph_ip(:,1), ph_il(:,1) )
! ! ----------------------- !
ELSE ! input cat /= output cat !
! ! ----------------------- !
ALLOCATE( jlfil(idim,jpl), jlfil2(idim,jpl) ) ! allocate arrays
ALLOCATE( jlmin(idim), jlmax(idim) )
! --- initialize output fields to 0 --- !
ph_i(1:idim,1:jpl) = 0._wp
ph_s(1:idim,1:jpl) = 0._wp
pa_i(1:idim,1:jpl) = 0._wp
!
! --- fill the categories --- !
! find where cat-input = cat-output and fill cat-output fields
jlmax(:) = 0
jlmin(:) = 999
jlfil(:,:) = 0
DO jl1 = 1, jpl
DO jl2 = 1, icat
DO ji = 1, idim
IF( hi_max(jl1-1) <= phti(ji,jl2) .AND. hi_max(jl1) > phti(ji,jl2) ) THEN
! fill the right category
ph_i(ji,jl1) = phti(ji,jl2)
ph_s(ji,jl1) = phts(ji,jl2)
pa_i(ji,jl1) = pati(ji,jl2)
! record categories that are filled
jlmax(ji) = MAX( jlmax(ji), jl1 )
jlmin(ji) = MIN( jlmin(ji), jl1 )
jlfil(ji,jl1) = jl1
ENDIF
END DO
END DO
END DO
!
! --- fill the gaps between categories --- !
! transfer from categories filled at the previous step to the empty ones in between
DO ji = 1, idim
jl1 = jlmin(ji)
jl2 = jlmax(ji)
IF( jl1 > 1 ) THEN
! fill the lower cat (jl1-1)
pa_i(ji,jl1-1) = ztrans * pa_i(ji,jl1)
ph_i(ji,jl1-1) = hi_mean(jl1-1)
! remove from cat jl1
pa_i(ji,jl1 ) = ( 1._wp - ztrans ) * pa_i(ji,jl1)
ENDIF
IF( jl2 < jpl ) THEN
! fill the upper cat (jl2+1)
pa_i(ji,jl2+1) = ztrans * pa_i(ji,jl2)
ph_i(ji,jl2+1) = hi_mean(jl2+1)
! remove from cat jl2
pa_i(ji,jl2 ) = ( 1._wp - ztrans ) * pa_i(ji,jl2)
ENDIF
END DO
!
jlfil2(:,:) = jlfil(:,:)
! fill categories from low to high
DO jl = 2, jpl-1
DO ji = 1, idim
IF( jlfil(ji,jl-1) /= 0 .AND. jlfil(ji,jl) == 0 ) THEN
! fill high
pa_i(ji,jl) = ztrans * pa_i(ji,jl-1)
ph_i(ji,jl) = hi_mean(jl)
jlfil(ji,jl) = jl
! remove low
pa_i(ji,jl-1) = ( 1._wp - ztrans ) * pa_i(ji,jl-1)
ENDIF
END DO
END DO
!
! fill categories from high to low
DO jl = jpl-1, 2, -1
DO ji = 1, idim
IF( jlfil2(ji,jl+1) /= 0 .AND. jlfil2(ji,jl) == 0 ) THEN
! fill low
pa_i(ji,jl) = pa_i(ji,jl) + ztrans * pa_i(ji,jl+1)
ph_i(ji,jl) = hi_mean(jl)
jlfil2(ji,jl) = jl
! remove high
pa_i(ji,jl+1) = ( 1._wp - ztrans ) * pa_i(ji,jl+1)
ENDIF
END DO
END DO
!
DEALLOCATE( jlfil, jlfil2 ) ! deallocate arrays
DEALLOCATE( jlmin, jlmax )
!
! == temperature and salinity == !
!
ALLOCATE( z1_ai(idim), z1_vi(idim), z1_vs(idim), ztmp(idim) )
!
WHERE( SUM( pa_i(:,:), dim=2 ) /= 0._wp ) ; z1_ai(:) = 1._wp / SUM( pa_i(:,:), dim=2 )
ELSEWHERE ; z1_ai(:) = 0._wp
END WHERE
WHERE( SUM( pa_i(:,:) * ph_i(:,:), dim=2 ) /= 0._wp ) ; z1_vi(:) = 1._wp / SUM( pa_i(:,:) * ph_i(:,:), dim=2 )
ELSEWHERE ; z1_vi(:) = 0._wp
END WHERE
WHERE( SUM( pa_i(:,:) * ph_s(:,:), dim=2 ) /= 0._wp ) ; z1_vs(:) = 1._wp / SUM( pa_i(:,:) * ph_s(:,:), dim=2 )
ELSEWHERE ; z1_vs(:) = 0._wp
END WHERE
!
! fill all the categories with the same value
ztmp(:) = SUM( ptmi (:,:) * pati(:,:) * phti(:,:), dim=2 ) * z1_vi(:)
DO jl = 1, jpl
pt_i (:,jl) = ztmp(:)
END DO
ztmp(:) = SUM( ptms (:,:) * pati(:,:) * phts(:,:), dim=2 ) * z1_vs(:)
DO jl = 1, jpl
pt_s (:,jl) = ztmp(:)
END DO
ztmp(:) = SUM( ptmsu(:,:) * pati(:,:) , dim=2 ) * z1_ai(:)
DO jl = 1, jpl
pt_su(:,jl) = ztmp(:)
END DO
ztmp(:) = SUM( psmi (:,:) * pati(:,:) * phti(:,:), dim=2 ) * z1_vi(:)
DO jl = 1, jpl
ps_i (:,jl) = ztmp(:)
END DO
!
DEALLOCATE( z1_ai, z1_vi, z1_vs, ztmp )
!
! == ponds == !
ALLOCATE( zfra(idim) )
! keep the same pond fraction atip/ati for each category
WHERE( SUM( pati(:,:), dim=2 ) /= 0._wp ) ; zfra(:) = SUM( patip(:,:), dim=2 ) / SUM( pati(:,:), dim=2 )
ELSEWHERE ; zfra(:) = 0._wp
END WHERE
DO jl = 1, jpl
pa_ip(:,jl) = zfra(:) * pa_i(:,jl)
END DO
! keep the same v_ip/v_i ratio for each category
WHERE( SUM( phti(:,:) * pati(:,:), dim=2 ) /= 0._wp )
zfra(:) = SUM( phtip(:,:) * patip(:,:), dim=2 ) / SUM( phti(:,:) * pati(:,:), dim=2 )
ELSEWHERE
zfra(:) = 0._wp
END WHERE
DO jl = 1, jpl
WHERE( pa_ip(:,jl) /= 0._wp ) ; ph_ip(:,jl) = zfra(:) * ( ph_i(:,jl) * pa_i(:,jl) ) / pa_ip(:,jl)
ELSEWHERE ; ph_ip(:,jl) = 0._wp
END WHERE
END DO
! keep the same v_il/v_i ratio for each category
WHERE( SUM( phti(:,:) * pati(:,:), dim=2 ) /= 0._wp )
zfra(:) = SUM( phtil(:,:) * patip(:,:), dim=2 ) / SUM( phti(:,:) * pati(:,:), dim=2 )
ELSEWHERE
zfra(:) = 0._wp
END WHERE
DO jl = 1, jpl
WHERE( pa_ip(:,jl) /= 0._wp ) ; ph_il(:,jl) = zfra(:) * ( ph_i(:,jl) * pa_i(:,jl) ) / pa_ip(:,jl)
ELSEWHERE ; ph_il(:,jl) = 0._wp
END WHERE
END DO
DEALLOCATE( zfra )
!
ENDIF
!
END SUBROUTINE ice_var_itd_NcMc
!!-------------------------------------------------------------------
!! INTERFACE ice_var_snwfra
!!
!! ** Purpose : fraction of ice covered by snow
!!
!! ** Method : In absence of proper snow model on top of sea ice,
!! we argue that snow does not cover the whole ice because
!! of wind blowing...
!!
!! ** Arguments : ph_s: snow thickness
!!
!! ** Output : pa_s_fra: fraction of ice covered by snow
!!
!!-------------------------------------------------------------------
SUBROUTINE ice_var_snwfra_3d( ph_s, pa_s_fra )
REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: ph_s ! snow thickness
REAL(wp), DIMENSION(:,:,:), INTENT( out) :: pa_s_fra ! ice fraction covered by snow
IF ( nn_snwfra == 0 ) THEN ! basic 0 or 1 snow cover
WHERE( ph_s > 0._wp ) ; pa_s_fra = 1._wp
ELSEWHERE ; pa_s_fra = 0._wp
END WHERE
ELSEIF( nn_snwfra == 1 ) THEN ! snow cover depends on hsnow (met-office style)
pa_s_fra = 1._wp - EXP( -0.2_wp * rhos * ph_s )
ELSEIF( nn_snwfra == 2 ) THEN ! snow cover depends on hsnow (cice style)
pa_s_fra = ph_s / ( ph_s + 0.02_wp )
ENDIF
END SUBROUTINE ice_var_snwfra_3d
SUBROUTINE ice_var_snwfra_2d( ph_s, pa_s_fra )
REAL(wp), DIMENSION(:,:), INTENT(in ) :: ph_s ! snow thickness
REAL(wp), DIMENSION(:,:), INTENT( out) :: pa_s_fra ! ice fraction covered by snow
IF ( nn_snwfra == 0 ) THEN ! basic 0 or 1 snow cover
WHERE( ph_s > 0._wp ) ; pa_s_fra = 1._wp
ELSEWHERE ; pa_s_fra = 0._wp
END WHERE
ELSEIF( nn_snwfra == 1 ) THEN ! snow cover depends on hsnow (met-office style)
pa_s_fra = 1._wp - EXP( -0.2_wp * rhos * ph_s )
ELSEIF( nn_snwfra == 2 ) THEN ! snow cover depends on hsnow (cice style)
pa_s_fra = ph_s / ( ph_s + 0.02_wp )
ENDIF
END SUBROUTINE ice_var_snwfra_2d
SUBROUTINE ice_var_snwfra_1d( ph_s, pa_s_fra )
REAL(wp), DIMENSION(:), INTENT(in ) :: ph_s ! snow thickness
REAL(wp), DIMENSION(:), INTENT( out) :: pa_s_fra ! ice fraction covered by snow
IF ( nn_snwfra == 0 ) THEN ! basic 0 or 1 snow cover
WHERE( ph_s > 0._wp ) ; pa_s_fra = 1._wp
ELSEWHERE ; pa_s_fra = 0._wp
END WHERE
ELSEIF( nn_snwfra == 1 ) THEN ! snow cover depends on hsnow (met-office style)
pa_s_fra = 1._wp - EXP( -0.2_wp * rhos * ph_s )
ELSEIF( nn_snwfra == 2 ) THEN ! snow cover depends on hsnow (cice style)
pa_s_fra = ph_s / ( ph_s + 0.02_wp )
ENDIF
END SUBROUTINE ice_var_snwfra_1d
!!--------------------------------------------------------------------------
!! INTERFACE ice_var_snwblow
!!
!! ** Purpose : Compute distribution of precip over the ice
!!
!! Snow accumulation in one thermodynamic time step
!! snowfall is partitionned between leads and ice.
!! If snow fall was uniform, a fraction (1-at_i) would fall into leads
!! but because of the winds, more snow falls on leads than on sea ice
!! and a greater fraction (1-at_i)^beta of the total mass of snow
!! (beta < 1) falls in leads.
!! In reality, beta depends on wind speed,
!! and should decrease with increasing wind speed but here, it is
!! considered as a constant. an average value is 0.66
!!--------------------------------------------------------------------------
!!gm I think it can be usefull to set this as a FUNCTION, not a SUBROUTINE....
SUBROUTINE ice_var_snwblow_2d( pin, pout )
REAL(wp), DIMENSION(:,:), INTENT(in ) :: pin ! previous fraction lead ( 1. - a_i_b )
REAL(wp), DIMENSION(:,:), INTENT(inout) :: pout
pout = ( 1._wp - ( pin )**rn_snwblow )
END SUBROUTINE ice_var_snwblow_2d
SUBROUTINE ice_var_snwblow_1d( pin, pout )
REAL(wp), DIMENSION(:), INTENT(in ) :: pin
REAL(wp), DIMENSION(:), INTENT(inout) :: pout
pout = ( 1._wp - ( pin )**rn_snwblow )
END SUBROUTINE ice_var_snwblow_1d
#else
!!----------------------------------------------------------------------
!! Default option Dummy module NO SI3 sea-ice model
!!----------------------------------------------------------------------
#endif
!!======================================================================
END MODULE icevar