| 1 | MODULE limdyn |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limdyn *** |
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| 4 | !! Sea-Ice dynamics : |
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| 5 | !!====================================================================== |
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| 6 | #if defined key_lim3 |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! 'key_lim3' : LIM3 sea-ice model |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! lim_dyn : computes ice velocities |
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| 11 | !! lim_dyn_init : initialization and namelist read |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | !! * Modules used |
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| 14 | USE phycst |
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| 15 | USE in_out_manager ! I/O manager |
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| 16 | USE dom_ice |
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| 17 | USE dom_oce ! ocean space and time domain |
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| 18 | USE taumod |
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| 19 | USE ice |
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| 20 | USE par_ice |
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| 21 | USE ice_oce |
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| 22 | USE iceini |
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| 23 | USE limistate |
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| 24 | USE limrhg ! ice rheology |
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| 25 | USE lbclnk |
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| 26 | USE lib_mpp |
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| 27 | USE prtctl ! Print control |
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| 28 | |
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| 29 | IMPLICIT NONE |
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| 30 | PRIVATE |
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| 31 | |
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| 32 | !! * Accessibility |
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| 33 | PUBLIC lim_dyn ! routine called by ice_step |
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| 34 | |
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| 35 | !! * Substitutions |
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| 36 | # include "vectopt_loop_substitute.h90" |
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| 37 | |
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| 38 | !! * Module variables |
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| 39 | REAL(wp) :: rone = 1.e0 ! constant value |
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| 40 | |
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| 41 | !!---------------------------------------------------------------------- |
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| 42 | !! LIM 3.0, UCL-ASTR-LOCEAN-IPSL (2008) |
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| 43 | !! $Header: /home/opalod/NEMOCVSROOT/NEMO/LIM_SRC/limdyn.F90,v 1.5 2005/03/27 18:34:41 opalod Exp $ |
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| 44 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 45 | !!---------------------------------------------------------------------- |
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| 46 | |
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| 47 | CONTAINS |
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| 48 | |
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| 49 | SUBROUTINE lim_dyn |
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| 50 | !!------------------------------------------------------------------- |
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| 51 | !! *** ROUTINE lim_dyn *** |
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| 52 | !! |
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| 53 | !! ** Purpose : compute ice velocity and ocean-ice stress |
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| 54 | !! |
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| 55 | !! ** Method : |
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| 56 | !! |
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| 57 | !! ** Action : - Initialisation |
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| 58 | !! - Call of the dynamic routine for each hemisphere |
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| 59 | !! - computation of the stress at the ocean surface |
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| 60 | !! - treatment of the case if no ice dynamic |
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| 61 | !! History : |
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| 62 | !! 1.0 ! 01-04 (LIM) Original code |
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| 63 | !! 2.0 ! 02-08 (C. Ethe, G. Madec) F90, mpp |
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| 64 | !! 3.0 ! 2007-03 (M.A. Morales Maqueda, S. Bouillon, M. Vancoppenolle) |
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| 65 | !! LIM3, EVP, C-grid |
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| 66 | !!------------------------------------------------------------------------------------ |
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| 67 | !! * Local variables |
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| 68 | INTEGER :: ji, jj, jl, ja ! dummy loop indices |
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| 69 | INTEGER :: i_j1, i_jpj ! Starting/ending j-indices for rheology |
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| 70 | |
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| 71 | REAL(wp) :: & |
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| 72 | ztairx, ztairy, & ! tempory scalars |
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| 73 | zsang , zmod, & |
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| 74 | ztglx , ztgly , & |
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| 75 | zt11, zt12, zt21, zt22 , & |
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| 76 | zustm, & |
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| 77 | zsfrldmx2, zsfrldmy2, & |
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| 78 | zu_ice, zv_ice, ztair2 |
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| 79 | |
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| 80 | REAL(wp),DIMENSION(jpj) :: & |
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| 81 | zind, & ! i-averaged indicator of sea-ice |
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| 82 | zmsk ! i-averaged of tmask |
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| 83 | !!--------------------------------------------------------------------- |
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| 84 | |
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| 85 | WRITE(numout,*) ' lim_dyn : Ice dynamics ' |
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| 86 | WRITE(numout,*) ' ~~~~~~~ ' |
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| 87 | |
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| 88 | IF( numit == nstart ) CALL lim_dyn_init ! Initialization (first time-step only) |
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| 89 | |
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| 90 | IF ( ln_limdyn ) THEN |
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| 91 | |
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| 92 | ! ocean velocity |
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| 93 | u_oce(:,:) = u_io(:,:) * tmu(:,:) |
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| 94 | v_oce(:,:) = v_io(:,:) * tmv(:,:) |
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| 95 | |
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| 96 | old_u_ice(:,:) = u_ice(:,:) * tmu(:,:) |
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| 97 | old_v_ice(:,:) = v_ice(:,:) * tmv(:,:) |
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| 98 | |
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| 99 | ! Rheology (ice dynamics) |
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| 100 | ! ======== |
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| 101 | |
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| 102 | ! Define the j-limits where ice rheology is computed |
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| 103 | ! --------------------------------------------------- |
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| 104 | |
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| 105 | IF( lk_mpp .OR. nbit_cmp == 1 ) THEN ! mpp: compute over the whole domain |
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| 106 | i_j1 = 1 |
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| 107 | i_jpj = jpj |
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| 108 | IF(ln_ctl) CALL prt_ctl_info( 'lim_dyn : i_j1 = ', ivar1=i_j1, clinfo2=' ij_jpj = ', ivar2=i_jpj ) |
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| 109 | CALL lim_rhg( i_j1, i_jpj ) |
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| 110 | ELSE ! optimization of the computational area |
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| 111 | |
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| 112 | DO jj = 1, jpj |
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| 113 | zind(jj) = SUM( 1.0 - at_i (:,jj ) ) ! = FLOAT(jpj) if ocean everywhere on a j-line |
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| 114 | zmsk(jj) = SUM( tmask(:,jj,1) ) ! = 0 if land everywhere on a j-line |
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| 115 | END DO |
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| 116 | |
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| 117 | IF( l_jeq ) THEN ! local domain include both hemisphere |
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| 118 | ! ! Rheology is computed in each hemisphere |
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| 119 | ! ! only over the ice cover latitude strip |
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| 120 | ! Northern hemisphere |
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| 121 | i_j1 = njeq |
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| 122 | i_jpj = jpj |
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| 123 | DO WHILE ( i_j1 <= jpj .AND. zind(i_j1) == FLOAT(jpi) .AND. zmsk(i_j1) /=0 ) |
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| 124 | i_j1 = i_j1 + 1 |
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| 125 | END DO |
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| 126 | i_j1 = MAX( 1, i_j1-1 ) |
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| 127 | IF(ln_ctl) CALL prt_ctl_info( 'lim_dyn : NH i_j1 = ', ivar1=i_j1, clinfo2=' ij_jpj = ', ivar2=i_jpj ) |
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| 128 | CALL lim_rhg( i_j1, i_jpj ) |
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| 129 | |
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| 130 | ! Southern hemisphere |
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| 131 | i_j1 = 1 |
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| 132 | i_jpj = njeq |
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| 133 | DO WHILE ( i_jpj >= 1 .AND. zind(i_jpj) == FLOAT(jpi) .AND. zmsk(i_jpj) /=0 ) |
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| 134 | i_jpj = i_jpj - 1 |
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| 135 | END DO |
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| 136 | i_jpj = MIN( jpj, i_jpj+2 ) |
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| 137 | IF(ln_ctl) CALL prt_ctl_info( 'lim_dyn : SH i_j1 = ', ivar1=i_j1, clinfo2=' ij_jpj = ', ivar2=i_jpj ) |
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| 138 | |
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| 139 | CALL lim_rhg( i_j1, i_jpj ) |
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| 140 | |
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| 141 | ELSE ! local domain extends over one hemisphere only |
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| 142 | ! ! Rheology is computed only over the ice cover |
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| 143 | ! ! latitude strip |
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| 144 | i_j1 = 1 |
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| 145 | DO WHILE ( i_j1 <= jpj .AND. zind(i_j1) == FLOAT(jpi) .AND. zmsk(i_j1) /=0 ) |
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| 146 | i_j1 = i_j1 + 1 |
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| 147 | END DO |
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| 148 | i_j1 = MAX( 1, i_j1-1 ) |
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| 149 | |
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| 150 | i_jpj = jpj |
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| 151 | DO WHILE ( i_jpj >= 1 .AND. zind(i_jpj) == FLOAT(jpi) .AND. zmsk(i_jpj) /=0 ) |
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| 152 | i_jpj = i_jpj - 1 |
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| 153 | END DO |
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| 154 | i_jpj = MIN( jpj, i_jpj+2) |
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| 155 | |
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| 156 | IF(ln_ctl) CALL prt_ctl_info( 'lim_dyn : one hemisphere: i_j1 = ', ivar1=i_j1, clinfo2=' ij_jpj = ', ivar2=i_jpj ) |
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| 157 | |
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| 158 | CALL lim_rhg( i_j1, i_jpj ) |
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| 159 | |
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| 160 | ENDIF |
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| 161 | |
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| 162 | ENDIF |
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| 163 | |
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| 164 | ! Ice-Ocean stress |
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| 165 | ! ================ |
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| 166 | DO jj = 2, jpjm1 |
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| 167 | zsang = SIGN(1.e0, gphif(1,jj-1) ) * sangvg |
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| 168 | |
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| 169 | DO ji = fs_2, fs_jpim1 |
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| 170 | ! computation of wind stress over ocean in X and Y direction |
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| 171 | #if defined key_coupled && defined key_lim_cp1 |
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| 172 | ! ztairx = ( 1.0 - at_i(ji-1,jj) ) * gtaux(ji-1,jj) + & |
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| 173 | ! ( 1.0 - at_i(ji,jj) ) * gtaux(ji,jj ) + & |
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| 174 | ! ( 1.0 - at_i(ji-1,jj-1) ) * gtaux(ji-1,jj-1) + & |
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| 175 | ! ( 1.0 - at_i(ji,jj-1) ) * gtaux(ji,jj-1) |
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| 176 | |
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| 177 | ! ztairy = ( 1.0 - at_i(ji-1,jj) ) * gtauy(ji-1,jj ) + & |
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| 178 | ! ( 1.0 - at_i(ji,jj ) ) * gtauy(ji,jj ) + & |
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| 179 | ! ( 1.0 - at_i(ji-1,jj-1) ) * gtauy(ji-1,jj-1) + & |
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| 180 | ! ( 1.0 - at_i(ji,jj-1) ) * gtauy(ji,jj-1) |
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| 181 | #else |
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| 182 | ztairx = ( 2.0 - at_i(ji,jj) - at_i(ji+1,jj) ) * gtaux(ji,jj) / cai * cao |
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| 183 | ztairy = ( 2.0 - at_i(ji,jj) - at_i(ji,jj+1) ) * gtauy(ji,jj) / cai * cao |
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| 184 | |
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| 185 | zsfrldmx2 = at_i(ji,jj) + at_i(ji+1,jj) |
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| 186 | zsfrldmy2 = at_i(ji,jj) + at_i(ji,jj+1) |
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| 187 | |
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| 188 | #endif |
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| 189 | zu_ice = u_ice(ji,jj) - u_oce(ji,jj) |
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| 190 | zv_ice = v_ice(ji,jj) - v_oce(ji,jj) |
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| 191 | zmod = SQRT( zu_ice * zu_ice + zv_ice * zv_ice ) |
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| 192 | |
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| 193 | ! quadratic drag formulation |
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| 194 | ztglx = zsfrldmx2 * rhoco * zmod * ( cangvg * zu_ice - zsang * zv_ice ) |
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| 195 | ztgly = zsfrldmy2 * rhoco * zmod * ( cangvg * zv_ice + zsang * zu_ice ) |
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| 196 | ! |
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| 197 | ! ! IMPORTANT |
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| 198 | ! ! these lignes are bound to prevent numerical oscillations |
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| 199 | ! ! in the ice-ocean stress |
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| 200 | ! ! They are physically ill-based. There is a cleaner solution |
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| 201 | ! ! to try (remember discussion in Paris Gurvan) |
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| 202 | ! |
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| 203 | ztglx = ztglx * exp( - zmod / 0.5 ) |
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| 204 | ztgly = ztglx * exp( - zmod / 0.5 ) |
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| 205 | |
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| 206 | tio_u(ji,jj) = - ( ztairx + 1.0 * ztglx ) / ( 2. * rau0 ) |
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| 207 | tio_v(ji,jj) = - ( ztairy + 1.0 * ztgly ) / ( 2. * rau0 ) |
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| 208 | END DO |
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| 209 | END DO |
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| 210 | |
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| 211 | ! computation of friction velocity |
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| 212 | DO jj = 2, jpjm1 |
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| 213 | DO ji = fs_2, fs_jpim1 |
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| 214 | |
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| 215 | zu_ice = u_ice(ji,jj) - u_io(ji,jj) |
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| 216 | zt11 = rhoco * zu_ice * zu_ice |
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| 217 | |
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| 218 | zu_ice = u_ice(ji-1,jj) - u_io(ji-1,jj) |
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| 219 | zt12 = rhoco * zu_ice * zu_ice |
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| 220 | |
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| 221 | zv_ice = v_ice(ji,jj) - v_io(ji,jj) |
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| 222 | zt21 = rhoco * zv_ice * zv_ice |
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| 223 | |
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| 224 | zv_ice = v_ice(ji,jj-1) - v_io(ji,jj-1) |
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| 225 | zt22 = rhoco * zv_ice * zv_ice |
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| 226 | ztair2 = ( ( gtaux(ji,jj) + gtaux(ji-1,jj) ) / 2. )**2 + & |
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| 227 | ( ( gtauy(ji,jj) + gtauy(ji,jj-1) ) / 2. )**2 |
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| 228 | |
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| 229 | ! should not be weighted |
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| 230 | zustm = ( at_i(ji,jj) ) * 0.5 * ( zt11 + zt12 + zt21 + zt22 ) & |
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| 231 | & + ( 1.0 - at_i(ji,jj) ) * SQRT( ztair2 ) |
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| 232 | |
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| 233 | ust2s(ji,jj) = ( zustm / rau0 ) * ( rone + sdvt(ji,jj) ) * tms(ji,jj) |
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| 234 | |
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| 235 | END DO |
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| 236 | END DO |
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| 237 | |
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| 238 | ELSE ! If no ice dynamics |
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| 239 | |
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| 240 | ! virer ca (key_lim_cp1) |
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| 241 | DO jj = 2, jpjm1 |
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| 242 | DO ji = fs_2, fs_jpim1 |
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| 243 | #if defined key_coupled && defined key_lim_cp1 |
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| 244 | tio_u(ji,jj) = - ( gtaux(ji ,jj ) + gtaux(ji-1,jj ) & |
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| 245 | & + gtaux(ji-1,jj-1) + gtaux(ji ,jj-1) ) / ( 4 * rau0 ) |
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| 246 | |
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| 247 | tio_v(ji,jj) = - ( gtauy(ji ,jj ) + gtauy(ji-1,jj ) & |
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| 248 | & + gtauy(ji-1,jj-1) + gtauy(ji ,jj-1) ) / ( 4 * rau0 ) |
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| 249 | #else |
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| 250 | tio_u(ji,jj) = - gtaux(ji,jj) / cai * cao / rau0 |
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| 251 | tio_v(ji,jj) = - gtauy(ji,jj) / cai * cao / rau0 |
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| 252 | #endif |
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| 253 | ztair2 = ( ( gtaux(ji,jj) + gtaux(ji-1,jj) ) / 2. )**2 + & |
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| 254 | ( ( gtauy(ji,jj) + gtauy(ji,jj-1) ) / 2. )**2 |
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| 255 | zustm = SQRT( ztair2 ) |
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| 256 | |
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| 257 | ust2s(ji,jj) = ( zustm / rau0 ) * ( rone + sdvt(ji,jj) ) * tms(ji,jj) |
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| 258 | END DO |
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| 259 | END DO |
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| 260 | |
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| 261 | ENDIF |
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| 262 | |
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| 263 | CALL lbc_lnk( ust2s, 'T', 1. ) ! T-point |
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| 264 | CALL lbc_lnk( tio_u, 'U', -1. ) ! I-point (i.e. ice U-V point) |
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| 265 | CALL lbc_lnk( tio_v, 'V', -1. ) ! I-point (i.e. ice U-V point) |
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| 266 | |
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| 267 | IF(ln_ctl) THEN ! Control print |
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| 268 | CALL prt_ctl_info(' ') |
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| 269 | CALL prt_ctl_info(' - Cell values : ') |
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| 270 | CALL prt_ctl_info(' ~~~~~~~~~~~~~ ') |
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| 271 | CALL prt_ctl(tab2d_1=tio_u , clinfo1=' lim_dyn : tio_u :', tab2d_2=tio_v , clinfo2=' tio_v :') |
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| 272 | CALL prt_ctl(tab2d_1=ust2s , clinfo1=' lim_dyn : ust2s :') |
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| 273 | CALL prt_ctl(tab2d_1=divu_i , clinfo1=' lim_dyn : divu_i :') |
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| 274 | CALL prt_ctl(tab2d_1=delta_i , clinfo1=' lim_dyn : delta_i :') |
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| 275 | CALL prt_ctl(tab2d_1=strength , clinfo1=' lim_dyn : strength :') |
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| 276 | CALL prt_ctl(tab2d_1=area , clinfo1=' lim_dyn : cell area :') |
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| 277 | CALL prt_ctl(tab2d_1=at_i , clinfo1=' lim_dyn : at_i :') |
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| 278 | CALL prt_ctl(tab2d_1=vt_i , clinfo1=' lim_dyn : vt_i :') |
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| 279 | CALL prt_ctl(tab2d_1=vt_s , clinfo1=' lim_dyn : vt_s :') |
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| 280 | CALL prt_ctl(tab2d_1=stress1_i , clinfo1=' lim_dyn : stress1_i :') |
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| 281 | CALL prt_ctl(tab2d_1=stress2_i , clinfo1=' lim_dyn : stress2_i :') |
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| 282 | CALL prt_ctl(tab2d_1=stress12_i, clinfo1=' lim_dyn : stress12_i:') |
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| 283 | DO jl = 1, jpl |
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| 284 | CALL prt_ctl_info(' ') |
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| 285 | CALL prt_ctl_info(' - Category : ', ivar1=jl) |
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| 286 | CALL prt_ctl_info(' ~~~~~~~~~~') |
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| 287 | CALL prt_ctl(tab2d_1=a_i (:,:,jl) , clinfo1= ' lim_dyn : a_i : ') |
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| 288 | CALL prt_ctl(tab2d_1=ht_i (:,:,jl) , clinfo1= ' lim_dyn : ht_i : ') |
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| 289 | CALL prt_ctl(tab2d_1=ht_s (:,:,jl) , clinfo1= ' lim_dyn : ht_s : ') |
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| 290 | CALL prt_ctl(tab2d_1=v_i (:,:,jl) , clinfo1= ' lim_dyn : v_i : ') |
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| 291 | CALL prt_ctl(tab2d_1=v_s (:,:,jl) , clinfo1= ' lim_dyn : v_s : ') |
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| 292 | CALL prt_ctl(tab2d_1=e_s (:,:,1,jl) , clinfo1= ' lim_dyn : e_s : ') |
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| 293 | CALL prt_ctl(tab2d_1=t_su (:,:,jl) , clinfo1= ' lim_dyn : t_su : ') |
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| 294 | CALL prt_ctl(tab2d_1=t_s (:,:,1,jl) , clinfo1= ' lim_dyn : t_snow : ') |
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| 295 | CALL prt_ctl(tab2d_1=sm_i (:,:,jl) , clinfo1= ' lim_dyn : sm_i : ') |
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| 296 | CALL prt_ctl(tab2d_1=smv_i (:,:,jl) , clinfo1= ' lim_dyn : smv_i : ') |
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| 297 | DO ja = 1, nlay_i |
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| 298 | CALL prt_ctl_info(' ') |
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| 299 | CALL prt_ctl_info(' - Layer : ', ivar1=ja) |
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| 300 | CALL prt_ctl_info(' ~~~~~~~') |
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| 301 | CALL prt_ctl(tab2d_1=t_i(:,:,ja,jl) , clinfo1= ' lim_dyn : t_i : ') |
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| 302 | CALL prt_ctl(tab2d_1=e_i(:,:,ja,jl) , clinfo1= ' lim_dyn : e_i : ') |
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| 303 | END DO |
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| 304 | END DO |
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| 305 | ENDIF |
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| 306 | |
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| 307 | END SUBROUTINE lim_dyn |
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| 308 | |
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| 309 | SUBROUTINE lim_dyn_init |
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| 310 | !!------------------------------------------------------------------- |
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| 311 | !! *** ROUTINE lim_dyn_init *** |
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| 312 | !! |
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| 313 | !! ** Purpose : Physical constants and parameters linked to the ice |
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| 314 | !! dynamics |
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| 315 | !! |
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| 316 | !! ** Method : Read the namicedyn namelist and check the ice-dynamic |
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| 317 | !! parameter values called at the first timestep (nit000) |
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| 318 | !! |
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| 319 | !! ** input : Namelist namicedyn |
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| 320 | !! |
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| 321 | !! history : |
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| 322 | !! 8.5 ! 03-08 (C. Ethe) original code |
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| 323 | !! 9.0 ! 07-03 (MA Morales Maqueda, S. Bouillon, M. Vancoppenolle) |
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| 324 | !! EVP-Cgrid-LIM3 |
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| 325 | !!------------------------------------------------------------------- |
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| 326 | NAMELIST/namicedyn/ epsd, alpha, & |
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| 327 | & dm, nbiter, nbitdr, om, resl, cw, angvg, pstar, & |
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| 328 | & c_rhg, etamn, creepl, ecc, ahi0, & |
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| 329 | & nevp, telast, alphaevp |
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| 330 | !!------------------------------------------------------------------- |
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| 331 | |
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| 332 | ! Define the initial parameters |
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| 333 | ! ------------------------- |
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| 334 | |
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| 335 | ! Read Namelist namicedyn |
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| 336 | REWIND ( numnam_ice ) |
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| 337 | READ ( numnam_ice , namicedyn ) |
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| 338 | IF(lwp) THEN |
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| 339 | WRITE(numout,*) |
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| 340 | WRITE(numout,*) 'lim_dyn_init : ice parameters for ice dynamics ' |
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| 341 | WRITE(numout,*) '~~~~~~~~~~~~' |
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| 342 | WRITE(numout,*) ' tolerance parameter epsd = ', epsd |
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| 343 | WRITE(numout,*) ' coefficient for semi-implicit coriolis alpha = ', alpha |
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| 344 | WRITE(numout,*) ' diffusion constant for dynamics dm = ', dm |
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| 345 | WRITE(numout,*) ' number of sub-time steps for relaxation nbiter = ', nbiter |
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| 346 | WRITE(numout,*) ' maximum number of iterations for relaxation nbitdr = ', nbitdr |
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| 347 | WRITE(numout,*) ' relaxation constant om = ', om |
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| 348 | WRITE(numout,*) ' maximum value for the residual of relaxation resl = ', resl |
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| 349 | WRITE(numout,*) ' drag coefficient for oceanic stress cw = ', cw |
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| 350 | WRITE(numout,*) ' turning angle for oceanic stress angvg = ', angvg |
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| 351 | WRITE(numout,*) ' first bulk-rheology parameter pstar = ', pstar |
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| 352 | WRITE(numout,*) ' second bulk-rhelogy parameter c_rhg = ', c_rhg |
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| 353 | WRITE(numout,*) ' minimun value for viscosity etamn = ', etamn |
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| 354 | WRITE(numout,*) ' creep limit creepl = ', creepl |
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| 355 | WRITE(numout,*) ' eccentricity of the elliptical yield curve ecc = ', ecc |
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| 356 | WRITE(numout,*) ' horizontal diffusivity coeff. for sea-ice ahi0 = ', ahi0 |
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| 357 | WRITE(numout,*) ' number of iterations for subcycling nevp = ', nevp |
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| 358 | WRITE(numout,*) ' timescale for elastic waves telast = ', telast |
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| 359 | WRITE(numout,*) ' coefficient for the solution of int. stresses alphaevp = ', alphaevp |
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| 360 | |
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| 361 | ENDIF |
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| 362 | |
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| 363 | usecc2 = 1.0 / ( ecc * ecc ) |
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| 364 | rhoco = rau0 * cw |
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| 365 | angvg = angvg * rad |
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| 366 | sangvg = SIN( angvg ) |
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| 367 | cangvg = COS( angvg ) |
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| 368 | pstarh = pstar / 2.0 |
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| 369 | |
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| 370 | ! Diffusion coefficients. |
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| 371 | ahiu(:,:) = ahi0 * umask(:,:,1) |
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| 372 | ahiv(:,:) = ahi0 * vmask(:,:,1) |
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| 373 | |
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| 374 | END SUBROUTINE lim_dyn_init |
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| 375 | |
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| 376 | #else |
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| 377 | !!---------------------------------------------------------------------- |
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| 378 | !! Default option Empty module NO LIM sea-ice model |
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| 379 | !!---------------------------------------------------------------------- |
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| 380 | CONTAINS |
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| 381 | SUBROUTINE lim_dyn ! Empty routine |
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| 382 | END SUBROUTINE lim_dyn |
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| 383 | #endif |
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| 384 | |
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| 385 | !!====================================================================== |
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| 386 | END MODULE limdyn |
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