| 1 | MODULE limmp |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limmp *** |
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| 4 | !! Melt ponds |
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| 5 | !!====================================================================== |
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| 6 | !! history : ! Original code by Daniela Flocco and Adrian Turner |
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| 7 | !! 1.0 ! 2012 (O. Lecomte) Adaptation for scientific tests (NEMO3.1) |
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| 8 | !! 2.0 ! 2017 (M. Vancoppenolle, O. Lecomte, C. Rousset) Implementation in NEMO3.6 |
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| 9 | !! ! NB: Only lim_mp_cstt and lim_mp_cesm work in this |
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| 10 | !! version |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | #if defined key_lim3 |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! 'key_lim3' : LIM3 sea-ice model |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | !! lim_mp_init : some initialization and namelist read |
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| 17 | !! lim_mp : main calling routine |
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| 18 | !! lim_mp_topo : main melt pond routine for the "topographic" formulation (FloccoFeltham) |
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| 19 | !! lim_mp_area : ??? compute melt pond fraction per category |
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| 20 | !! lim_mp_perm : computes permeability (should be a FUNCTION!) |
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| 21 | !! calc_hpond : computes melt pond depth |
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| 22 | !! permeability_phy : computes permeability |
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| 23 | |
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| 24 | !!---------------------------------------------------------------------- |
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| 25 | USE phycst ! physical constants |
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| 26 | USE dom_oce ! ocean space and time domain |
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| 27 | ! USE sbc_ice ! Surface boundary condition: ice fields |
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| 28 | USE ice ! LIM-3 variables |
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| 29 | USE lbclnk ! lateral boundary conditions - MPP exchanges |
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| 30 | USE lib_mpp ! MPP library |
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| 31 | USE wrk_nemo ! work arrays |
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| 32 | USE in_out_manager ! I/O manager |
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| 33 | USE lib_fortran ! glob_sum |
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| 34 | USE timing ! Timing |
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| 35 | ! USE limcons ! conservation tests |
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| 36 | ! USE limctl ! control prints |
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| 37 | ! USE limvar |
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| 38 | |
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| 39 | !OLI_CODE USE ice_oce, ONLY: rdt_ice, tatm_ice |
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| 40 | !OLI_CODE USE phycst |
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| 41 | !OLI_CODE USE dom_ice |
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| 42 | !OLI_CODE USE dom_oce |
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| 43 | !OLI_CODE USE sbc_oce |
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| 44 | !OLI_CODE USE sbc_ice |
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| 45 | !OLI_CODE USE par_ice |
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| 46 | !OLI_CODE USE par_oce |
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| 47 | !OLI_CODE USE ice |
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| 48 | !OLI_CODE USE thd_ice |
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| 49 | !OLI_CODE USE in_out_manager |
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| 50 | !OLI_CODE USE lbclnk |
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| 51 | !OLI_CODE USE lib_mpp |
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| 52 | !OLI_CODE |
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| 53 | !OLI_CODE IMPLICIT NONE |
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| 54 | !OLI_CODE PRIVATE |
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| 55 | !OLI_CODE |
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| 56 | !OLI_CODE PUBLIC lim_mp_init |
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| 57 | !OLI_CODE PUBLIC lim_mp |
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| 58 | |
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| 59 | IMPLICIT NONE |
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| 60 | PRIVATE |
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| 61 | |
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| 62 | PUBLIC lim_mp_init ! routine called by sbcice_lim.F90 |
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| 63 | PUBLIC lim_mp ! routine called by sbcice_lim.F90 |
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| 64 | |
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| 65 | !! * Substitutions |
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| 66 | # include "vectopt_loop_substitute.h90" |
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| 67 | !!---------------------------------------------------------------------- |
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| 68 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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| 69 | !! $Id: limdyn.F90 6994 2016-10-05 13:07:10Z clem $ |
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| 70 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 71 | !!---------------------------------------------------------------------- |
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| 72 | CONTAINS |
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| 73 | |
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| 74 | SUBROUTINE lim_mp_init |
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| 75 | !!------------------------------------------------------------------- |
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| 76 | !! *** ROUTINE lim_mp_init *** |
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| 77 | !! |
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| 78 | !! ** Purpose : Physical constants and parameters linked to melt ponds |
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| 79 | !! over sea ice |
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| 80 | !! |
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| 81 | !! ** Method : Read the namicemp namelist and check the melt pond |
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| 82 | !! parameter values called at the first timestep (nit000) |
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| 83 | !! |
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| 84 | !! ** input : Namelist namicemp |
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| 85 | !!------------------------------------------------------------------- |
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| 86 | INTEGER :: ios ! Local integer output status for namelist read |
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| 87 | NAMELIST/namicemp/ ln_pnd, ln_pnd_rad, ln_pnd_fw, nn_pnd_scheme, rn_apnd, rn_hpnd |
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| 88 | !!------------------------------------------------------------------- |
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| 89 | |
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| 90 | REWIND( numnam_ice_ref ) ! Namelist namicemp in reference namelist : Melt Ponds |
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| 91 | READ ( numnam_ice_ref, namicemp, IOSTAT = ios, ERR = 901) |
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| 92 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namicemp in reference namelist', lwp ) |
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| 93 | |
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| 94 | REWIND( numnam_ice_cfg ) ! Namelist namicemp in configuration namelist : Melt Ponds |
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| 95 | READ ( numnam_ice_cfg, namicemp, IOSTAT = ios, ERR = 902 ) |
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| 96 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namicemp in configuration namelist', lwp ) |
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| 97 | IF(lwm) WRITE ( numoni, namicemp ) |
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| 98 | |
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| 99 | IF(lwp) THEN ! control print |
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| 100 | WRITE(numout,*) |
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| 101 | WRITE(numout,*) 'lim_mp_init : ice parameters for melt ponds' |
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| 102 | WRITE(numout,*) '~~~~~~~~~~~~' |
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| 103 | WRITE(numout,*) ' Active melt ponds ln_pnd = ', ln_pnd |
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| 104 | WRITE(numout,*) ' Active melt ponds radiative coupling ln_pnd_rad = ', ln_pnd_rad |
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| 105 | WRITE(numout,*) ' Active melt ponds freshwater coupling ln_pnd_fw = ', ln_pnd_fw |
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| 106 | WRITE(numout,*) ' Type of melt pond scheme =0 presc, =1 empirical = 2 topo nn_pnd_scheme = ', nn_pnd_scheme |
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| 107 | WRITE(numout,*) ' Prescribed pond fraction rn_apnd = ', rn_apnd |
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| 108 | WRITE(numout,*) ' Prescribed pond depth rn_hpnd = ', rn_hpnd |
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| 109 | ENDIF |
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| 110 | |
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| 111 | IF ( .NOT. ln_pnd ) THEN |
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| 112 | WRITE(numout,*) |
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| 113 | WRITE(numout,*) ' Melt ponds are not activated ' |
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| 114 | WRITE(numout,*) ' ln_pnd_rad and ln_pnd_fw set to .FALSE. ' |
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| 115 | WRITE(numout,*) ' nn_pnd_scheme, rn_apnd, rn_hpnd set to zero ' |
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| 116 | ln_pnd_rad = .FALSE. |
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| 117 | ln_pnd_fw = .FALSE. |
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| 118 | nn_pnd_scheme = 0 |
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| 119 | rn_apnd = 0._wp |
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| 120 | rn_hpnd = 0._wp |
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| 121 | |
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| 122 | IF(lwp) THEN ! control print |
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| 123 | WRITE(numout,*) ' Active melt ponds radiative coupling ln_pnd_rad = ', ln_pnd_rad |
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| 124 | WRITE(numout,*) ' Active melt ponds freshwater coupling ln_pnd_fw = ', ln_pnd_fw |
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| 125 | WRITE(numout,*) ' Type of melt pond scheme =0 presc, =1 empirical = 2 topo nn_pnd_scheme = ', nn_pnd_scheme |
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| 126 | WRITE(numout,*) ' Prescribed pond fraction rn_apnd = ', rn_apnd |
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| 127 | WRITE(numout,*) ' Prescribed pond depth rn_hpnd = ', rn_hpnd |
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| 128 | ENDIF |
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| 129 | ENDIF |
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| 130 | |
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| 131 | IF ( ln_pnd .AND. ( nn_pnd_scheme == 0 ) .AND. ( ln_pnd_fw ) ) THEN |
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| 132 | WRITE(numout,*) ' Prescribed melt ponds do not conserve fresh water mass, hence ln_pnd_fw must be set to false ' |
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| 133 | ln_pnd_fw = .FALSE. |
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| 134 | IF(lwp) THEN ! control print |
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| 135 | WRITE(numout,*) ' Active melt ponds freshwater coupling ln_pnd_fw = ', ln_pnd_fw |
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| 136 | ENDIF |
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| 137 | ENDIF |
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| 138 | |
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| 139 | IF ( ln_pnd .AND. ( nn_pnd_scheme == 2 ) .AND. ( jpl == 1 ) ) THEN |
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| 140 | WRITE(numout,*) ' Topographic melt ponds are incompatible with jpl = 1 ' |
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| 141 | WRITE(numout,*) ' Run aborted ' |
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| 142 | CALL ctl_stop( 'STOP', 'lim_mp_init: uncompatible options, reset namelist_ice_ref ' ) |
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| 143 | ENDIF |
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| 144 | |
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| 145 | ! |
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| 146 | END SUBROUTINE lim_mp_init |
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| 147 | |
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| 148 | |
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| 149 | SUBROUTINE lim_mp( kt ) |
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| 150 | !!------------------------------------------------------------------- |
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| 151 | !! *** ROUTINE lim_mp *** |
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| 152 | !! |
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| 153 | !! ** Purpose : change melt pond fraction |
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| 154 | !! |
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| 155 | !! ** Method : brutal force |
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| 156 | !! |
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| 157 | !! ** Action : - |
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| 158 | !! - |
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| 159 | !!------------------------------------------------------------------------------------ |
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| 160 | |
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| 161 | INTEGER, INTENT(in) :: kt ! number of iteration |
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| 162 | INTEGER :: ji, jj, jl ! dummy loop indices |
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| 163 | |
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| 164 | !!------------------------------------------------------------------- |
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| 165 | |
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| 166 | IF( nn_timing == 1 ) CALL timing_start('lim_mp') |
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| 167 | |
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| 168 | SELECT CASE ( nn_pnd_scheme ) |
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| 169 | |
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| 170 | CASE (0) |
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| 171 | |
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| 172 | CALL lim_mp_cstt ! staircase melt ponds |
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| 173 | |
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| 174 | CASE (1) |
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| 175 | |
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| 176 | CALL lim_mp_cesm ! empirical melt ponds |
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| 177 | |
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| 178 | CASE (2) |
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| 179 | |
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| 180 | CALL lim_mp_topo & ! topographic melt ponds |
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| 181 | & (at_i, a_i, & |
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| 182 | & vt_i, v_i, v_s, t_i, s_i, a_ip_frac, & |
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| 183 | & h_ip, t_su) |
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| 184 | |
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| 185 | END SELECT |
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| 186 | |
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| 187 | IF( nn_timing == 1 ) CALL timing_stop('lim_mp') |
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| 188 | |
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| 189 | END SUBROUTINE lim_mp |
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| 190 | |
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| 191 | SUBROUTINE lim_mp_cstt |
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| 192 | !!------------------------------------------------------------------- |
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| 193 | !! *** ROUTINE lim_mp_cstt *** |
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| 194 | !! |
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| 195 | !! ** Purpose : Compute melt pond evolution |
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| 196 | !! |
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| 197 | !! ** Method : Melt pond fraction and thickness are prescribed |
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| 198 | !! to non-zero values when t_su = 0C |
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| 199 | !! |
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| 200 | !! ** Tunable parameters : pond fraction (rn_apnd), pond depth (rn_hpnd) |
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| 201 | !! |
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| 202 | !! ** Note : Coupling with such melt ponds is only radiative |
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| 203 | !! Advection, ridging, rafting... are bypassed |
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| 204 | !! |
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| 205 | !! ** References : Bush, G.W., and Trump, D.J. (2017) |
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| 206 | !! |
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| 207 | !!------------------------------------------------------------------- |
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| 208 | INTEGER :: ji, jj, jl |
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| 209 | REAL(wp) :: z1_jpl ! 1/jpl |
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| 210 | !!------------------------------------------------------------------- |
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| 211 | |
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| 212 | z1_jpl = 1. / FLOAT(jpl) |
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| 213 | |
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| 214 | WHERE ( ( a_i > epsi10 ) .AND. ( t_su >= rt0-epsi06 ) ) |
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| 215 | a_ip_frac = rn_apnd |
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| 216 | h_ip = rn_hpnd |
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| 217 | v_ip = a_ip_frac * a_i * h_ip |
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| 218 | a_ip = a_ip_frac * a_i |
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| 219 | ELSE WHERE |
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| 220 | a_ip = 0._wp |
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| 221 | h_ip = 0._wp |
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| 222 | v_ip = 0._wp |
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| 223 | a_ip_frac = 0._wp |
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| 224 | END WHERE |
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| 225 | |
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| 226 | wfx_pnd(:,:) = 0._wp |
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| 227 | |
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| 228 | END SUBROUTINE lim_mp_cstt |
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| 229 | |
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| 230 | SUBROUTINE lim_mp_cesm |
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| 231 | !!------------------------------------------------------------------- |
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| 232 | !! *** ROUTINE lim_mp_cesm *** |
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| 233 | !! |
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| 234 | !! ** Purpose : Compute melt pond evolution |
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| 235 | !! |
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| 236 | !! ** Method : Empirical method. A fraction of meltwater is accumulated |
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| 237 | !! in pond volume. It is then released exponentially when |
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| 238 | !! surface is freezing. |
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| 239 | !! |
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| 240 | !! ** Tunable parameters : (no real expertise yet, ideas?) |
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| 241 | !! |
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| 242 | !! ** Note : Stolen from CICE for quick test of the melt pond |
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| 243 | !! radiation and freshwater interfaces |
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| 244 | !! Coupling can be radiative AND freshwater |
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| 245 | !! Advection, ridging, rafting are called |
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| 246 | !! |
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| 247 | !! ** References : Holland, M. M. et al (J Clim 2012) |
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| 248 | !! |
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| 249 | !!------------------------------------------------------------------- |
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| 250 | |
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| 251 | INTEGER, POINTER, DIMENSION(:) :: indxi ! compressed indices for cells with ice melting |
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| 252 | INTEGER, POINTER, DIMENSION(:) :: indxj ! |
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| 253 | |
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| 254 | REAL(wp), POINTER, DIMENSION(:,:) :: zwfx_mlw ! available meltwater for melt ponding |
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| 255 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zrfrac ! fraction of available meltwater retained for melt ponding |
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| 256 | |
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| 257 | REAL(wp), PARAMETER :: zrmin = 0.15_wp ! minimum fraction of available meltwater retained for melt ponding |
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| 258 | REAL(wp), PARAMETER :: zrmax = 0.70_wp ! maximum '' '' '' '' '' |
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| 259 | REAL(wp), PARAMETER :: zrexp = 0.01_wp ! rate constant to refreeze melt ponds |
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| 260 | REAL(wp), PARAMETER :: zpnd_aspect = 0.8_wp ! pond aspect ratio |
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| 261 | |
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| 262 | REAL(wp) :: zhi ! dummy ice thickness |
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| 263 | REAL(wp) :: zhs ! dummy snow depth |
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| 264 | REAL(wp) :: zTp ! reference temperature |
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| 265 | REAL(wp) :: zdTs ! dummy temperature difference |
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| 266 | REAL(wp) :: z1_rhofw ! inverse freshwater density |
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| 267 | REAL(wp) :: z1_zpnd_aspect ! inverse pond aspect ratio |
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| 268 | REAL(wp) :: zvpold ! dummy pond volume |
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| 269 | |
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| 270 | INTEGER :: ji, jj, jl, ij ! loop indices |
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| 271 | INTEGER :: icells ! size of dummy array |
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| 272 | |
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| 273 | !!------------------------------------------------------------------- |
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| 274 | |
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| 275 | CALL wrk_alloc( jpi*jpj, indxi, indxj) |
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| 276 | CALL wrk_alloc( jpi,jpj, zwfx_mlw ) |
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| 277 | CALL wrk_alloc( jpi,jpj,jpl, zrfrac ) |
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| 278 | |
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| 279 | z1_rhofw = 1. / rhofw |
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| 280 | z1_zpnd_aspect = 1. / zpnd_aspect |
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| 281 | zTp = -2. |
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| 282 | |
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| 283 | a_ip_frac(:,:,:) = 0._wp |
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| 284 | h_ip (:,:,:) = 0._wp |
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| 285 | |
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| 286 | !------------------------------------------------------------------ |
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| 287 | ! Available melt water for melt ponding and corresponding fraction |
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| 288 | !------------------------------------------------------------------ |
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| 289 | |
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| 290 | zwfx_mlw(:,:) = MAX( wfx_sum(:,:) + wfx_snw_sum(:,:), 0._wp ) ! available meltwater for melt ponding |
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| 291 | |
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| 292 | ! NB: zwfx_mlw can be slightly negative for very small values (why?) |
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| 293 | ! This can in some occasions give negative |
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| 294 | ! v_ip in the first category, which then gives crazy pond |
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| 295 | ! fractions and crashes the code as soon as the melt-pond |
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| 296 | ! radiative coupling is activated |
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| 297 | ! if we understand and remove why wfx_sum or wfx_snw could be |
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| 298 | ! negative, then, we can remove the MAX |
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| 299 | ! NB: I now changed to wfx_snw_sum, this may fix the problem. |
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| 300 | ! We should check |
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| 301 | |
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| 302 | zrfrac(:,:,:) = zrmin + ( zrmax - zrmin ) * a_i(:,:,:) |
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| 303 | |
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| 304 | DO jl = 1, jpl |
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| 305 | |
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| 306 | !------------------------------------------------------------------------------ |
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| 307 | ! Identify grid cells where ponds should be updated (can probably be improved) |
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| 308 | !------------------------------------------------------------------------------ |
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| 309 | |
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| 310 | indxi(:) = 0 |
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| 311 | indxj(:) = 0 |
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| 312 | icells = 0 |
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| 313 | |
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| 314 | DO jj = 1, jpj |
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| 315 | DO ji = 1, jpi |
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| 316 | IF ( a_i(ji,jj,jl) > epsi10 ) THEN |
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| 317 | icells = icells + 1 |
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| 318 | indxi(icells) = ji |
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| 319 | indxj(icells) = jj |
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| 320 | ENDIF |
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| 321 | END DO ! ji |
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| 322 | END DO ! jj |
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| 323 | |
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| 324 | DO ij = 1, icells |
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| 325 | |
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| 326 | ji = indxi(ij) |
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| 327 | jj = indxj(ij) |
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| 328 | |
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| 329 | zhi = v_i(ji,jj,jl) / a_i(ji,jj,jl) |
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| 330 | zhs = v_s(ji,jj,jl) / a_i(ji,jj,jl) |
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| 331 | |
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| 332 | IF ( zhi < rn_himin) THEN !--- Remove ponds on thin ice if ice is too thin |
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| 333 | |
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| 334 | a_ip(ji,jj,jl) = 0._wp !--- Dump ponds |
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| 335 | v_ip(ji,jj,jl) = 0._wp |
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| 336 | a_ip_frac(ji,jj,jl) = 0._wp |
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| 337 | h_ip(ji,jj,jl) = 0._wp |
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| 338 | |
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| 339 | IF ( ln_pnd_fw ) & !--- Give freshwater to the ocean |
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| 340 | wfx_pnd(ji,jj) = wfx_pnd(ji,jj) + v_ip(ji,jj,jl) |
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| 341 | |
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| 342 | |
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| 343 | ELSE !--- Update pond characteristics |
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| 344 | |
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| 345 | !--- Add retained melt water to melt ponds |
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| 346 | ! v_ip should never be positive, otherwise code crashes |
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| 347 | ! MV: as far as I saw, UM5 can create very small negative v_ip values |
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| 348 | ! hence I added the max, which was not required with Prather (1 yr run) |
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| 349 | v_ip(ji,jj,jl) = MAX( v_ip(ji,jj,jl), 0._wp ) + zrfrac(ji,jj,jl) * z1_rhofw * zwfx_mlw(ji,jj) * a_i(ji,jj,jl) * rdt_ice |
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| 350 | |
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| 351 | !--- Shrink pond due to refreezing |
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| 352 | zdTs = MAX ( zTp - t_su(ji,jj,jl) + rt0 , 0. ) |
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| 353 | |
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| 354 | zvpold = v_ip(ji,jj,jl) |
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| 355 | |
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| 356 | v_ip(ji,jj,jl) = v_ip(ji,jj,jl) * EXP( zrexp * zdTs / zTp ) |
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| 357 | |
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| 358 | !--- Dump meltwater due to refreezing ( of course this is wrong |
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| 359 | !--- but this parameterization is too simple ) |
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| 360 | IF ( ln_pnd_fw ) & |
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| 361 | wfx_pnd(ji,jj) = wfx_pnd(ji,jj) + rhofw * ( v_ip(ji,jj,jl) - zvpold ) * r1_rdtice |
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| 362 | |
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| 363 | a_ip_frac(ji,jj,jl) = MIN( 1._wp , SQRT( v_ip(ji,jj,jl) * z1_zpnd_aspect / a_i(ji,jj,jl) ) ) |
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| 364 | !NB: the SQRT has been a recurring source of crash when v_ip or a_i tuns to be even only slightly negative |
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| 365 | |
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| 366 | h_ip(ji,jj,jl) = zpnd_aspect * a_ip_frac(ji,jj,jl) |
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| 367 | |
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| 368 | a_ip(ji,jj,jl) = a_ip_frac(ji,jj,jl) * a_i(ji,jj,jl) |
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| 369 | |
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| 370 | !----------------------------------------------------------- |
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| 371 | ! Limit pond depth |
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| 372 | !----------------------------------------------------------- |
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| 373 | ! The original version has pond depth limitation, which I did not |
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| 374 | ! keep here. Maybe we need it later on |
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| 375 | ! |
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| 376 | |
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| 377 | ENDIF |
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| 378 | |
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| 379 | END DO |
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| 380 | |
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| 381 | END DO ! jpl |
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| 382 | |
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| 383 | !--- Remove retained meltwater from surface fluxes |
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| 384 | |
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| 385 | IF ( ln_pnd_fw ) THEN |
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| 386 | |
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| 387 | wfx_snw_sum(:,:) = wfx_snw_sum(:,:) * ( 1. - zrmin - ( zrmax - zrmin ) * at_i(:,:) ) |
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| 388 | |
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| 389 | wfx_sum(:,:) = wfx_sum(:,:) * ( 1. - zrmin - ( zrmax - zrmin ) * at_i(:,:) ) |
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| 390 | |
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| 391 | ENDIF |
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| 392 | |
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| 393 | CALL wrk_dealloc( jpi*jpj, indxi, indxj) |
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| 394 | CALL wrk_dealloc( jpi,jpj, zwfx_mlw ) |
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| 395 | CALL wrk_dealloc( jpi,jpj,jpl, zrfrac ) |
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| 396 | |
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| 397 | END SUBROUTINE lim_mp_cesm |
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| 398 | |
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| 399 | SUBROUTINE lim_mp_topo (aice, aicen, & |
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| 400 | vice, vicen, & |
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| 401 | vsnon, & |
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| 402 | ticen, salin, & |
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| 403 | a_ip_frac, h_ip, & |
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| 404 | Tsfc ) |
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| 405 | !!------------------------------------------------------------------- |
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| 406 | !! *** ROUTINE lim_mp_topo *** |
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| 407 | !! |
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| 408 | !! ** Purpose : Compute melt pond evolution based on the ice |
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| 409 | !! topography as inferred from the ice thickness |
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| 410 | !! distribution. |
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| 411 | !! |
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| 412 | !! ** Method : This code is initially based on Flocco and Feltham |
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| 413 | !! (2007) and Flocco et al. (2010). More to come... |
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| 414 | !! |
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| 415 | !! ** Tunable parameters : |
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| 416 | !! |
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| 417 | !! ** Note : |
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| 418 | !! |
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| 419 | !! ** References |
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| 420 | !! Flocco, D. and D. L. Feltham, 2007. A continuum model of melt pond |
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| 421 | !! evolution on Arctic sea ice. J. Geophys. Res. 112, C08016, doi: |
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| 422 | !! 10.1029/2006JC003836. |
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| 423 | !! Flocco, D., D. L. Feltham and A. K. Turner, 2010. Incorporation of |
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| 424 | !! a physically based melt pond scheme into the sea ice component of a |
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| 425 | !! climate model. J. Geophys. Res. 115, C08012, |
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| 426 | !! doi: 10.1029/2009JC005568. |
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| 427 | !! |
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| 428 | !!------------------------------------------------------------------- |
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| 429 | |
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| 430 | REAL (wp), DIMENSION (jpi,jpj), & |
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| 431 | INTENT(IN) :: & |
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| 432 | aice, & ! total ice area fraction |
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| 433 | vice ! total ice volume (m) |
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| 434 | |
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| 435 | REAL (wp), DIMENSION (jpi,jpj,jpl), & |
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| 436 | INTENT(IN) :: & |
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| 437 | aicen, & ! ice area fraction, per category |
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| 438 | vsnon, & ! snow volume, per category (m) |
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| 439 | vicen ! ice volume, per category (m) |
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| 440 | |
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| 441 | REAL (wp), DIMENSION (jpi,jpj,nlay_i,jpl), & |
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| 442 | INTENT(IN) :: & |
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| 443 | ticen, & ! ice enthalpy, per category |
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| 444 | salin |
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| 445 | |
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| 446 | REAL (wp), DIMENSION (jpi,jpj,jpl), & |
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| 447 | INTENT(INOUT) :: & |
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| 448 | a_ip_frac , & ! pond area fraction of ice, per ice category |
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| 449 | h_ip ! pond depth, per ice category (m) |
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| 450 | |
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| 451 | REAL (wp), DIMENSION (jpi,jpj,jpl), & |
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| 452 | INTENT(IN) :: & |
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| 453 | Tsfc ! snow/sea ice surface temperature |
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| 454 | |
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| 455 | ! local variables |
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| 456 | REAL (wp), DIMENSION (jpi,jpj,jpl) :: & |
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| 457 | zTsfcn, & ! ice/snow surface temperature (C) |
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| 458 | zvolpn, & ! pond volume per unit area, per category (m) |
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| 459 | zvuin ! water-equivalent volume of ice lid on melt pond ('upper ice', m) |
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| 460 | |
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| 461 | REAL (wp), DIMENSION (jpi,jpj,jpl) :: & |
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| 462 | zapondn,& ! pond area fraction, per category |
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| 463 | zhpondn ! pond depth, per category (m) |
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| 464 | |
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| 465 | REAL (wp), DIMENSION (jpi,jpj) :: & |
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| 466 | zvolp ! total volume of pond, per unit area of pond (m) |
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| 467 | |
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| 468 | REAL (wp) :: & |
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| 469 | zhi, & ! ice thickness (m) |
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| 470 | zdHui, & ! change in thickness of ice lid (m) |
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| 471 | zomega, & ! conduction |
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| 472 | zdTice, & ! temperature difference across ice lid (C) |
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| 473 | zdvice, & ! change in ice volume (m) |
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| 474 | zTavg, & ! mean surface temperature across categories (C) |
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| 475 | zTp, & ! pond freezing temperature (C) |
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| 476 | zdvn ! change in melt pond volume for fresh water budget |
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| 477 | INTEGER, DIMENSION (jpi*jpj) :: & |
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| 478 | indxi, indxj ! compressed indices for cells with ice melting |
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| 479 | |
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| 480 | INTEGER :: n,k,i,j,ij,icells,indxij ! loop indices |
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| 481 | |
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| 482 | INTEGER, DIMENSION (jpl) :: & |
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| 483 | kcells ! cells where ice lid combines with vice |
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| 484 | |
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| 485 | INTEGER, DIMENSION (jpi*jpj,jpl) :: & |
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| 486 | indxii, indxjj ! i,j indices for kcells loop |
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| 487 | |
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| 488 | REAL (wp), parameter :: & |
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| 489 | zhicemin = 0.1_wp , & ! minimum ice thickness with ponds (m) |
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| 490 | zTd = 0.15_wp, & ! temperature difference for freeze-up (C) |
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| 491 | zr1_rlfus = 1._wp / 0.334e+6 / 917._wp , & ! (J/m^3) |
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| 492 | zmin_volp = 1.e-4_wp, & ! minimum pond volume (m) |
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| 493 | z0 = 0._wp, & |
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| 494 | zTimelt = 0._wp, & |
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| 495 | z01 = 0.01_wp, & |
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| 496 | z25 = 0.25_wp, & |
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| 497 | z5 = 0.5_wp |
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| 498 | |
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| 499 | !--------------------------------------------------------------- |
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| 500 | ! Initialization |
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| 501 | !--------------------------------------------------------------- |
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| 502 | |
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| 503 | zhpondn(:,:,:) = 0._wp |
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| 504 | zapondn(:,:,:) = 0._wp |
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| 505 | indxii(:,:) = 0 |
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| 506 | indxjj(:,:) = 0 |
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| 507 | kcells(:) = 0 |
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| 508 | |
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| 509 | zvolp(:,:) = wfx_sum(:,:) + wfx_snw_sum(:,:) + vt_ip(:,:) ! Total available melt water, to be distributed as melt ponds |
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| 510 | zTsfcn(:,:,:) = zTsfcn(:,:,:) - rt0 ! Convert in Celsius |
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| 511 | |
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| 512 | ! The freezing temperature for meltponds is assumed slightly below 0C, |
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| 513 | ! as if meltponds had a little salt in them. The salt budget is not |
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| 514 | ! altered for meltponds, but if it were then an actual pond freezing |
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| 515 | ! temperature could be computed. |
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| 516 | |
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| 517 | ! zTp = zTimelt - zTd ---> for lids |
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| 518 | |
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| 519 | !----------------------------------------------------------------- |
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| 520 | ! Identify grid cells with ponds |
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| 521 | !----------------------------------------------------------------- |
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| 522 | |
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| 523 | icells = 0 |
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| 524 | DO j = 1, jpj |
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| 525 | DO i = 1, jpi |
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| 526 | zhi = z0 |
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| 527 | IF (aice(i,j) > epsi10 ) zhi = vice(i,j)/aice(i,j) |
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| 528 | IF ( aice(i,j) > z01 .and. zhi > zhicemin .and. & |
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| 529 | zvolp(i,j) > zmin_volp*aice(i,j)) THEN |
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| 530 | icells = icells + 1 |
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| 531 | indxi(icells) = i |
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| 532 | indxj(icells) = j |
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| 533 | ELSE ! remove ponds on thin ice |
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| 534 | !fpond(i,j) = fpond(i,j) - zvolp(i,j) |
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| 535 | zvolpn(i,j,:) = z0 |
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| 536 | zvuin (i,j,:) = z0 |
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| 537 | zvolp (i,j) = z0 |
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| 538 | END IF |
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| 539 | END DO ! i |
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| 540 | END DO ! j |
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| 541 | |
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| 542 | DO ij = 1, icells |
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| 543 | i = indxi(ij) |
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| 544 | j = indxj(ij) |
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| 545 | |
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| 546 | !-------------------------------------------------------------- |
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| 547 | ! calculate pond area and depth |
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| 548 | !-------------------------------------------------------------- |
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| 549 | CALL lim_mp_area(aice(i,j),vice(i,j), & |
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| 550 | aicen(i,j,:), vicen(i,j,:), vsnon(i,j,:), & |
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| 551 | ticen(i,j,:,:), salin(i,j,:,:), & |
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| 552 | zvolpn(i,j,:), zvolp(i,j), & |
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| 553 | zapondn(i,j,:),zhpondn(i,j,:), zdvn) |
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| 554 | ! outputs are |
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| 555 | ! - zdvn |
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| 556 | ! - zvolpn |
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| 557 | ! - zvolp |
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| 558 | ! - zapondn |
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| 559 | ! - zhpondn |
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| 560 | |
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| 561 | wfx_pnd(i,j) = wfx_pnd(i,j) + zdvn ! update flux from ponds to ocean |
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| 562 | |
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| 563 | ! mean surface temperature MV - why do we need that ? --> for the lid |
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| 564 | |
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| 565 | ! zTavg = z0 |
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| 566 | ! DO n = 1, jpl |
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| 567 | ! zTavg = zTavg + zTsfcn(i,j,n)*aicen(i,j,n) |
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| 568 | ! END DO |
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| 569 | ! zTavg = zTavg / aice(i,j) |
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| 570 | |
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| 571 | END DO ! ij |
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| 572 | |
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| 573 | !--------------------------------------------------------------- |
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| 574 | ! Update pond volume and fraction |
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| 575 | !--------------------------------------------------------------- |
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| 576 | |
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| 577 | a_ip(:,:,:) = zapondn(:,:,:) |
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| 578 | v_ip(:,:,:) = zapondn(:,:,:) * zhpondn(:,:,:) |
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| 579 | a_ip_frac(:,:,:) = 0._wp |
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| 580 | h_ip (:,:,:) = 0._wp |
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| 581 | |
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| 582 | END SUBROUTINE lim_mp_topo |
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| 583 | |
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| 584 | SUBROUTINE lim_mp_area(aice,vice, & |
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| 585 | aicen, vicen, vsnon, ticen, & |
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| 586 | salin, zvolpn, zvolp, & |
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| 587 | zapondn,zhpondn,dvolp) |
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| 588 | |
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| 589 | !!------------------------------------------------------------------- |
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| 590 | !! *** ROUTINE lim_mp_area *** |
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| 591 | !! |
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| 592 | !! ** Purpose : Given the total volume of meltwater, update |
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| 593 | !! pond fraction (a_ip) and depth (should be volume) |
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| 594 | !! |
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| 595 | !! ** |
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| 596 | !! |
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| 597 | !!------------------------------------------------------------------ |
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| 598 | |
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| 599 | REAL (wp), INTENT(IN) :: & |
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| 600 | aice,vice |
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| 601 | |
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| 602 | REAL (wp), DIMENSION(jpl), INTENT(IN) :: & |
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| 603 | aicen, vicen, vsnon |
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| 604 | |
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| 605 | REAL (wp), DIMENSION(nlay_i,jpl), INTENT(IN) :: & |
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| 606 | ticen, salin |
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| 607 | |
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| 608 | REAL (wp), DIMENSION(jpl), INTENT(INOUT) :: & |
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| 609 | zvolpn |
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| 610 | |
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| 611 | REAL (wp), INTENT(INOUT) :: & |
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| 612 | zvolp, dvolp |
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| 613 | |
|---|
| 614 | REAL (wp), DIMENSION(jpl), INTENT(OUT) :: & |
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| 615 | zapondn, zhpondn |
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| 616 | |
|---|
| 617 | INTEGER :: & |
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| 618 | n, ns, & |
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| 619 | m_index, & |
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| 620 | permflag |
|---|
| 621 | |
|---|
| 622 | REAL (wp), DIMENSION(jpl) :: & |
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| 623 | hicen, & |
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| 624 | hsnon, & |
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| 625 | asnon, & |
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| 626 | alfan, & |
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| 627 | betan, & |
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| 628 | cum_max_vol, & |
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| 629 | reduced_aicen |
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| 630 | |
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| 631 | REAL (wp), DIMENSION(0:jpl) :: & |
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| 632 | cum_max_vol_tmp |
|---|
| 633 | |
|---|
| 634 | REAL (wp) :: & |
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| 635 | hpond, & |
|---|
| 636 | drain, & |
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| 637 | floe_weight, & |
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| 638 | pressure_head, & |
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| 639 | hsl_rel, & |
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| 640 | deltah, & |
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| 641 | perm, & |
|---|
| 642 | msno |
|---|
| 643 | |
|---|
| 644 | REAL (wp), parameter :: & |
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| 645 | viscosity = 1.79e-3_wp, & ! kinematic water viscosity in kg/m/s |
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| 646 | z0 = 0.0_wp , & |
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| 647 | c1 = 1.0_wp , & |
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| 648 | p4 = 0.4_wp , & |
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| 649 | p6 = 0.6_wp , & |
|---|
| 650 | epsi10 = 1.0e-11_wp |
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| 651 | |
|---|
| 652 | !-----------| |
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| 653 | ! | |
|---|
| 654 | ! |-----------| |
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| 655 | !___________|___________|______________________________________sea-level |
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| 656 | ! | | |
|---|
| 657 | ! | |---^--------| |
|---|
| 658 | ! | | | | |
|---|
| 659 | ! | | | |-----------| |------- |
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| 660 | ! | | |alfan(n)| | | |
|---|
| 661 | ! | | | | |--------------| |
|---|
| 662 | ! | | | | | | |
|---|
| 663 | !---------------------------v------------------------------------------- |
|---|
| 664 | ! | | ^ | | | |
|---|
| 665 | ! | | | | |--------------| |
|---|
| 666 | ! | | |betan(n)| | | |
|---|
| 667 | ! | | | |-----------| |------- |
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| 668 | ! | | | | |
|---|
| 669 | ! | |---v------- | |
|---|
| 670 | ! | | |
|---|
| 671 | ! |-----------| |
|---|
| 672 | ! | |
|---|
| 673 | !-----------| |
|---|
| 674 | |
|---|
| 675 | !------------------------------------------------------------------- |
|---|
| 676 | ! initialize |
|---|
| 677 | !------------------------------------------------------------------- |
|---|
| 678 | |
|---|
| 679 | DO n = 1, jpl |
|---|
| 680 | |
|---|
| 681 | zapondn(n) = z0 |
|---|
| 682 | zhpondn(n) = z0 |
|---|
| 683 | |
|---|
| 684 | !---------------------------------------- |
|---|
| 685 | ! X) compute the effective snow fraction |
|---|
| 686 | !---------------------------------------- |
|---|
| 687 | IF (aicen(n) < epsi10) THEN |
|---|
| 688 | hicen(n) = z0 |
|---|
| 689 | hsnon(n) = z0 |
|---|
| 690 | reduced_aicen(n) = z0 |
|---|
| 691 | ELSE |
|---|
| 692 | hicen(n) = vicen(n) / aicen(n) |
|---|
| 693 | hsnon(n) = vsnon(n) / aicen(n) |
|---|
| 694 | reduced_aicen(n) = c1 ! n=jpl |
|---|
| 695 | IF (n < jpl) reduced_aicen(n) = aicen(n) & |
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| 696 | * (-0.024_wp*hicen(n) + 0.832_wp) |
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| 697 | asnon(n) = reduced_aicen(n) ! effective snow fraction (empirical) |
|---|
| 698 | ! MV should check whether this makes sense to have the same effective snow fraction in here |
|---|
| 699 | END IF |
|---|
| 700 | |
|---|
| 701 | ! This choice for alfa and beta ignores hydrostatic equilibium of categories. |
|---|
| 702 | ! Hydrostatic equilibium of the entire ITD is accounted for below, assuming |
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| 703 | ! a surface topography implied by alfa=0.6 and beta=0.4, and rigidity across all |
|---|
| 704 | ! categories. alfa and beta partition the ITD - they are areas not thicknesses! |
|---|
| 705 | ! Multiplying by hicen, alfan and betan (below) are thus volumes per unit area. |
|---|
| 706 | ! Here, alfa = 60% of the ice area (and since hice is constant in a category, |
|---|
| 707 | ! alfan = 60% of the ice volume) in each category lies above the reference line, |
|---|
| 708 | ! and 40% below. Note: p6 is an arbitrary choice, but alfa+beta=1 is required. |
|---|
| 709 | |
|---|
| 710 | ! MV: |
|---|
| 711 | ! Note that this choice is not in the original FF07 paper and has been adopted in CICE |
|---|
| 712 | ! No reason why is explained in the doc, but I guess there is a reason. I'll try to investigate, maybe |
|---|
| 713 | |
|---|
| 714 | ! Where does that choice come from |
|---|
| 715 | |
|---|
| 716 | alfan(n) = 0.6 * hicen(n) |
|---|
| 717 | betan(n) = 0.4 * hicen(n) |
|---|
| 718 | |
|---|
| 719 | cum_max_vol(n) = z0 |
|---|
| 720 | cum_max_vol_tmp(n) = z0 |
|---|
| 721 | |
|---|
| 722 | END DO ! jpl |
|---|
| 723 | |
|---|
| 724 | cum_max_vol_tmp(0) = z0 |
|---|
| 725 | drain = z0 |
|---|
| 726 | dvolp = z0 |
|---|
| 727 | |
|---|
| 728 | !---------------------------------------------------------- |
|---|
| 729 | ! x) Drain overflow water, update pond fraction and volume |
|---|
| 730 | !---------------------------------------------------------- |
|---|
| 731 | |
|---|
| 732 | !-------------------------------------------------------------------------- |
|---|
| 733 | ! the maximum amount of water that can be contained up to each ice category |
|---|
| 734 | !-------------------------------------------------------------------------- |
|---|
| 735 | |
|---|
| 736 | ! MV |
|---|
| 737 | ! If melt ponds are too deep to be sustainable given the ITD (OVERFLOW) |
|---|
| 738 | ! Then the excess volume cum_max_vol(jl) drains out of the system |
|---|
| 739 | ! It should be added to wfx_pnd |
|---|
| 740 | ! END MV |
|---|
| 741 | |
|---|
| 742 | DO n = 1, jpl-1 ! last category can not hold any volume |
|---|
| 743 | |
|---|
| 744 | IF (alfan(n+1) >= alfan(n) .and. alfan(n+1) > z0) THEN |
|---|
| 745 | |
|---|
| 746 | ! total volume in level including snow |
|---|
| 747 | cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1) + & |
|---|
| 748 | (alfan(n+1) - alfan(n)) * sum(reduced_aicen(1:n)) |
|---|
| 749 | |
|---|
| 750 | ! subtract snow solid volumes from lower categories in current level |
|---|
| 751 | DO ns = 1, n |
|---|
| 752 | cum_max_vol_tmp(n) = cum_max_vol_tmp(n) & |
|---|
| 753 | - rhosn/rhofw * & ! free air fraction that can be filled by water |
|---|
| 754 | asnon(ns) * & ! effective areal fraction of snow in that category |
|---|
| 755 | max(min(hsnon(ns)+alfan(ns)-alfan(n), alfan(n+1)- & |
|---|
| 756 | alfan(n)), z0) |
|---|
| 757 | END DO |
|---|
| 758 | |
|---|
| 759 | ELSE ! assume higher categories unoccupied |
|---|
| 760 | cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1) |
|---|
| 761 | END IF |
|---|
| 762 | !IF (cum_max_vol_tmp(n) < z0) THEN |
|---|
| 763 | ! call abort_ice('negative melt pond volume') |
|---|
| 764 | !END IF |
|---|
| 765 | END DO |
|---|
| 766 | cum_max_vol_tmp(jpl) = cum_max_vol_tmp(jpl-1) ! last category holds no volume |
|---|
| 767 | cum_max_vol (1:jpl) = cum_max_vol_tmp(1:jpl) |
|---|
| 768 | |
|---|
| 769 | !---------------------------------------------------------------- |
|---|
| 770 | ! is there more meltwater than can be held in the floe? |
|---|
| 771 | !---------------------------------------------------------------- |
|---|
| 772 | IF (zvolp >= cum_max_vol(jpl)) THEN |
|---|
| 773 | drain = zvolp - cum_max_vol(jpl) + epsi10 |
|---|
| 774 | zvolp = zvolp - drain ! update meltwater volume available |
|---|
| 775 | dvolp = drain ! this is the drained water |
|---|
| 776 | IF (zvolp < epsi10) THEN |
|---|
| 777 | dvolp = dvolp + zvolp |
|---|
| 778 | zvolp = z0 |
|---|
| 779 | END IF |
|---|
| 780 | END IF |
|---|
| 781 | |
|---|
| 782 | ! height and area corresponding to the remaining volume |
|---|
| 783 | |
|---|
| 784 | ! call calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, & |
|---|
| 785 | ! zvolp, cum_max_vol, hpond, m_index) |
|---|
| 786 | |
|---|
| 787 | DO n=1, m_index |
|---|
| 788 | zhpondn(n) = hpond - alfan(n) + alfan(1) ! here oui choulde update |
|---|
| 789 | ! volume instead, no ? |
|---|
| 790 | zapondn(n) = reduced_aicen(n) |
|---|
| 791 | ! in practise, pond fraction depends on the empirical snow fraction |
|---|
| 792 | ! so in turn on ice thickness |
|---|
| 793 | END DO |
|---|
| 794 | |
|---|
| 795 | !------------------------------------------------------------------------ |
|---|
| 796 | ! Drainage through brine network (permeability) |
|---|
| 797 | !------------------------------------------------------------------------ |
|---|
| 798 | !!! drainage due to ice permeability - Darcy's law |
|---|
| 799 | |
|---|
| 800 | ! sea water level |
|---|
| 801 | msno = z0 |
|---|
| 802 | DO n=1,jpl |
|---|
| 803 | msno = msno + vsnon(n) * rhosn |
|---|
| 804 | END DO |
|---|
| 805 | floe_weight = (msno + rhoic*vice + rau0*zvolp) / aice |
|---|
| 806 | hsl_rel = floe_weight / rau0 & |
|---|
| 807 | - ((sum(betan(:)*aicen(:))/aice) + alfan(1)) |
|---|
| 808 | |
|---|
| 809 | deltah = hpond - hsl_rel |
|---|
| 810 | pressure_head = grav * rau0 * max(deltah, z0) |
|---|
| 811 | |
|---|
| 812 | ! drain IF ice is permeable |
|---|
| 813 | permflag = 0 |
|---|
| 814 | IF (pressure_head > z0) THEN |
|---|
| 815 | DO n = 1, jpl-1 |
|---|
| 816 | IF (hicen(n) /= z0) THEN |
|---|
| 817 | perm = 0. ! MV ugly dummy patch |
|---|
| 818 | CALL lim_mp_perm(ticen(:,n), salin(:,n), vicen(n), perm) |
|---|
| 819 | IF (perm > z0) permflag = 1 |
|---|
| 820 | |
|---|
| 821 | drain = perm*zapondn(n)*pressure_head*rdt_ice / & |
|---|
| 822 | (viscosity*hicen(n)) |
|---|
| 823 | dvolp = dvolp + min(drain, zvolp) |
|---|
| 824 | zvolp = max(zvolp - drain, z0) |
|---|
| 825 | IF (zvolp < epsi10) THEN |
|---|
| 826 | dvolp = dvolp + zvolp |
|---|
| 827 | zvolp = z0 |
|---|
| 828 | END IF |
|---|
| 829 | END IF |
|---|
| 830 | END DO |
|---|
| 831 | |
|---|
| 832 | ! adjust melt pond DIMENSIONs |
|---|
| 833 | IF (permflag > 0) THEN |
|---|
| 834 | ! recompute pond depth |
|---|
| 835 | ! CALL calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, & |
|---|
| 836 | ! zvolp, cum_max_vol, hpond, m_index) |
|---|
| 837 | DO n=1, m_index |
|---|
| 838 | zhpondn(n) = hpond - alfan(n) + alfan(1) |
|---|
| 839 | zapondn(n) = reduced_aicen(n) |
|---|
| 840 | END DO |
|---|
| 841 | END IF |
|---|
| 842 | END IF ! pressure_head |
|---|
| 843 | |
|---|
| 844 | !------------------------------- |
|---|
| 845 | ! X) remove water from the snow |
|---|
| 846 | !------------------------------- |
|---|
| 847 | !------------------------------------------------------------------------ |
|---|
| 848 | ! total melt pond volume in category DOes not include snow volume |
|---|
| 849 | ! snow in melt ponds is not melted |
|---|
| 850 | !------------------------------------------------------------------------ |
|---|
| 851 | |
|---|
| 852 | ! Calculate pond volume for lower categories |
|---|
| 853 | DO n=1,m_index-1 |
|---|
| 854 | zvolpn(n) = zapondn(n) * zhpondn(n) & ! what is not in the snow |
|---|
| 855 | - (rhosn/rhofw) * asnon(n) * min(hsnon(n), zhpondn(n)) |
|---|
| 856 | END DO |
|---|
| 857 | |
|---|
| 858 | ! Calculate pond volume for highest category = remaining pond volume |
|---|
| 859 | |
|---|
| 860 | ! The following is completely unclear to Martin at least |
|---|
| 861 | ! Could we redefine properly and recode in a more readable way ? |
|---|
| 862 | |
|---|
| 863 | ! m_index = last category with melt pond |
|---|
| 864 | |
|---|
| 865 | IF (m_index == 1) zvolpn(m_index) = zvolp ! volume of mw in 1st category is the total volume of melt water |
|---|
| 866 | |
|---|
| 867 | IF (m_index > 1) THEN |
|---|
| 868 | IF (zvolp > sum(zvolpn(1:m_index-1))) THEN |
|---|
| 869 | zvolpn(m_index) = zvolp - sum(zvolpn(1:m_index-1)) ! |
|---|
| 870 | ELSE |
|---|
| 871 | zvolpn(m_index) = z0 |
|---|
| 872 | zhpondn(m_index) = z0 |
|---|
| 873 | zapondn(m_index) = z0 |
|---|
| 874 | ! If remaining pond volume is negative reduce pond volume of |
|---|
| 875 | ! lower category |
|---|
| 876 | IF (zvolp+epsi10 < sum(zvolpn(1:m_index-1))) & |
|---|
| 877 | zvolpn(m_index-1) = zvolpn(m_index-1)-sum(zvolpn(1:m_index-1))& |
|---|
| 878 | + zvolp |
|---|
| 879 | END IF |
|---|
| 880 | END IF |
|---|
| 881 | |
|---|
| 882 | DO n=1,m_index |
|---|
| 883 | IF (zapondn(n) > epsi10) THEN |
|---|
| 884 | zhpondn(n) = zvolpn(n) / zapondn(n) |
|---|
| 885 | ELSE |
|---|
| 886 | dvolp = dvolp + zvolpn(n) |
|---|
| 887 | zhpondn(n) = z0 |
|---|
| 888 | zvolpn(n) = z0 |
|---|
| 889 | zapondn(n) = z0 |
|---|
| 890 | end IF |
|---|
| 891 | END DO |
|---|
| 892 | DO n = m_index+1, jpl |
|---|
| 893 | zhpondn(n) = z0 |
|---|
| 894 | zapondn(n) = z0 |
|---|
| 895 | zvolpn (n) = z0 |
|---|
| 896 | END DO |
|---|
| 897 | |
|---|
| 898 | END SUBROUTINE lim_mp_area |
|---|
| 899 | |
|---|
| 900 | !OLI_CODE |
|---|
| 901 | !OLI_CODE |
|---|
| 902 | !OLI_CODE SUBROUTINE calc_hpond(aicen, asnon, hsnon, rhos, alfan, & |
|---|
| 903 | !OLI_CODE zvolp, cum_max_vol, & |
|---|
| 904 | !OLI_CODE hpond, m_index) |
|---|
| 905 | !OLI_CODE !!------------------------------------------------------------------- |
|---|
| 906 | !OLI_CODE !! *** ROUTINE calc_hpond *** |
|---|
| 907 | !OLI_CODE !! |
|---|
| 908 | !OLI_CODE !! ** Purpose : Compute melt pond depth |
|---|
| 909 | !OLI_CODE !!------------------------------------------------------------------- |
|---|
| 910 | !OLI_CODE |
|---|
| 911 | !OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(IN) :: & |
|---|
| 912 | !OLI_CODE aicen, & |
|---|
| 913 | !OLI_CODE asnon, & |
|---|
| 914 | !OLI_CODE hsnon, & |
|---|
| 915 | !OLI_CODE rhos, & |
|---|
| 916 | !OLI_CODE alfan, & |
|---|
| 917 | !OLI_CODE cum_max_vol |
|---|
| 918 | !OLI_CODE |
|---|
| 919 | !OLI_CODE REAL (wp), INTENT(IN) :: & |
|---|
| 920 | !OLI_CODE zvolp |
|---|
| 921 | !OLI_CODE |
|---|
| 922 | !OLI_CODE REAL (wp), INTENT(OUT) :: & |
|---|
| 923 | !OLI_CODE hpond |
|---|
| 924 | !OLI_CODE |
|---|
| 925 | !OLI_CODE INTEGER, INTENT(OUT) :: & |
|---|
| 926 | !OLI_CODE m_index |
|---|
| 927 | !OLI_CODE |
|---|
| 928 | !OLI_CODE INTEGER :: n, ns |
|---|
| 929 | !OLI_CODE |
|---|
| 930 | !OLI_CODE REAL (wp), DIMENSION(0:jpl+1) :: & |
|---|
| 931 | !OLI_CODE hitl, & |
|---|
| 932 | !OLI_CODE aicetl |
|---|
| 933 | !OLI_CODE |
|---|
| 934 | !OLI_CODE REAL (wp) :: & |
|---|
| 935 | !OLI_CODE rem_vol, & |
|---|
| 936 | !OLI_CODE area, & |
|---|
| 937 | !OLI_CODE vol, & |
|---|
| 938 | !OLI_CODE tmp, & |
|---|
| 939 | !OLI_CODE z0 = 0.0_wp, & |
|---|
| 940 | !OLI_CODE epsi10 = 1.0e-11_wp |
|---|
| 941 | !OLI_CODE |
|---|
| 942 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 943 | !OLI_CODE ! hpond is zero if zvolp is zero - have we fully drained? |
|---|
| 944 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 945 | !OLI_CODE |
|---|
| 946 | !OLI_CODE IF (zvolp < epsi10) THEN |
|---|
| 947 | !OLI_CODE hpond = z0 |
|---|
| 948 | !OLI_CODE m_index = 0 |
|---|
| 949 | !OLI_CODE ELSE |
|---|
| 950 | !OLI_CODE |
|---|
| 951 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 952 | !OLI_CODE ! Calculate the category where water fills up to |
|---|
| 953 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 954 | !OLI_CODE |
|---|
| 955 | !OLI_CODE !----------| |
|---|
| 956 | !OLI_CODE ! | |
|---|
| 957 | !OLI_CODE ! | |
|---|
| 958 | !OLI_CODE ! |----------| -- -- |
|---|
| 959 | !OLI_CODE !__________|__________|_________________________________________ ^ |
|---|
| 960 | !OLI_CODE ! | | rem_vol ^ | Semi-filled |
|---|
| 961 | !OLI_CODE ! | |----------|-- -- -- - ---|-- ---- -- -- --v layer |
|---|
| 962 | !OLI_CODE ! | | | | |
|---|
| 963 | !OLI_CODE ! | | | |hpond |
|---|
| 964 | !OLI_CODE ! | | |----------| | |------- |
|---|
| 965 | !OLI_CODE ! | | | | | | |
|---|
| 966 | !OLI_CODE ! | | | |---v-----| |
|---|
| 967 | !OLI_CODE ! | | m_index | | | |
|---|
| 968 | !OLI_CODE !------------------------------------------------------------- |
|---|
| 969 | !OLI_CODE |
|---|
| 970 | !OLI_CODE m_index = 0 ! 1:m_index categories have water in them |
|---|
| 971 | !OLI_CODE DO n = 1, jpl |
|---|
| 972 | !OLI_CODE IF (zvolp <= cum_max_vol(n)) THEN |
|---|
| 973 | !OLI_CODE m_index = n |
|---|
| 974 | !OLI_CODE IF (n == 1) THEN |
|---|
| 975 | !OLI_CODE rem_vol = zvolp |
|---|
| 976 | !OLI_CODE ELSE |
|---|
| 977 | !OLI_CODE rem_vol = zvolp - cum_max_vol(n-1) |
|---|
| 978 | !OLI_CODE END IF |
|---|
| 979 | !OLI_CODE exit ! to break out of the loop |
|---|
| 980 | !OLI_CODE END IF |
|---|
| 981 | !OLI_CODE END DO |
|---|
| 982 | !OLI_CODE m_index = min(jpl-1, m_index) |
|---|
| 983 | !OLI_CODE |
|---|
| 984 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 985 | !OLI_CODE ! semi-filled layer may have m_index different snow in it |
|---|
| 986 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 987 | !OLI_CODE |
|---|
| 988 | !OLI_CODE !----------------------------------------------------------- ^ |
|---|
| 989 | !OLI_CODE ! | alfan(m_index+1) |
|---|
| 990 | !OLI_CODE ! | |
|---|
| 991 | !OLI_CODE !hitl(3)--> |----------| | |
|---|
| 992 | !OLI_CODE !hitl(2)--> |------------| * * * * *| | |
|---|
| 993 | !OLI_CODE !hitl(1)--> |----------|* * * * * * |* * * * * | | |
|---|
| 994 | !OLI_CODE !hitl(0)-->------------------------------------------------- | ^ |
|---|
| 995 | !OLI_CODE ! various snow from lower categories | |alfa(m_index) |
|---|
| 996 | !OLI_CODE |
|---|
| 997 | !OLI_CODE ! hitl - heights of the snow layers from thinner and current categories |
|---|
| 998 | !OLI_CODE ! aicetl - area of each snow depth in this layer |
|---|
| 999 | !OLI_CODE |
|---|
| 1000 | !OLI_CODE hitl(:) = z0 |
|---|
| 1001 | !OLI_CODE aicetl(:) = z0 |
|---|
| 1002 | !OLI_CODE DO n = 1, m_index |
|---|
| 1003 | !OLI_CODE hitl(n) = max(min(hsnon(n) + alfan(n) - alfan(m_index), & |
|---|
| 1004 | !OLI_CODE alfan(m_index+1) - alfan(m_index)), z0) |
|---|
| 1005 | !OLI_CODE aicetl(n) = asnon(n) |
|---|
| 1006 | !OLI_CODE |
|---|
| 1007 | !OLI_CODE aicetl(0) = aicetl(0) + (aicen(n) - asnon(n)) |
|---|
| 1008 | !OLI_CODE END DO |
|---|
| 1009 | !OLI_CODE hitl(m_index+1) = alfan(m_index+1) - alfan(m_index) |
|---|
| 1010 | !OLI_CODE aicetl(m_index+1) = z0 |
|---|
| 1011 | !OLI_CODE |
|---|
| 1012 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1013 | !OLI_CODE ! reorder array according to hitl |
|---|
| 1014 | !OLI_CODE ! snow heights not necessarily in height order |
|---|
| 1015 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1016 | !OLI_CODE |
|---|
| 1017 | !OLI_CODE DO ns = 1, m_index+1 |
|---|
| 1018 | !OLI_CODE DO n = 0, m_index - ns + 1 |
|---|
| 1019 | !OLI_CODE IF (hitl(n) > hitl(n+1)) THEN ! swap order |
|---|
| 1020 | !OLI_CODE tmp = hitl(n) |
|---|
| 1021 | !OLI_CODE hitl(n) = hitl(n+1) |
|---|
| 1022 | !OLI_CODE hitl(n+1) = tmp |
|---|
| 1023 | !OLI_CODE tmp = aicetl(n) |
|---|
| 1024 | !OLI_CODE aicetl(n) = aicetl(n+1) |
|---|
| 1025 | !OLI_CODE aicetl(n+1) = tmp |
|---|
| 1026 | !OLI_CODE END IF |
|---|
| 1027 | !OLI_CODE END DO |
|---|
| 1028 | !OLI_CODE END DO |
|---|
| 1029 | !OLI_CODE |
|---|
| 1030 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1031 | !OLI_CODE ! divide semi-filled layer into set of sublayers each vertically homogenous |
|---|
| 1032 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1033 | !OLI_CODE |
|---|
| 1034 | !OLI_CODE !hitl(3)---------------------------------------------------------------- |
|---|
| 1035 | !OLI_CODE ! | * * * * * * * * |
|---|
| 1036 | !OLI_CODE ! |* * * * * * * * * |
|---|
| 1037 | !OLI_CODE !hitl(2)---------------------------------------------------------------- |
|---|
| 1038 | !OLI_CODE ! | * * * * * * * * | * * * * * * * * |
|---|
| 1039 | !OLI_CODE ! |* * * * * * * * * |* * * * * * * * * |
|---|
| 1040 | !OLI_CODE !hitl(1)---------------------------------------------------------------- |
|---|
| 1041 | !OLI_CODE ! | * * * * * * * * | * * * * * * * * | * * * * * * * * |
|---|
| 1042 | !OLI_CODE ! |* * * * * * * * * |* * * * * * * * * |* * * * * * * * * |
|---|
| 1043 | !OLI_CODE !hitl(0)---------------------------------------------------------------- |
|---|
| 1044 | !OLI_CODE ! aicetl(0) aicetl(1) aicetl(2) aicetl(3) |
|---|
| 1045 | !OLI_CODE |
|---|
| 1046 | !OLI_CODE ! move up over layers incrementing volume |
|---|
| 1047 | !OLI_CODE DO n = 1, m_index+1 |
|---|
| 1048 | !OLI_CODE |
|---|
| 1049 | !OLI_CODE area = sum(aicetl(:)) - & ! total area of sub-layer |
|---|
| 1050 | !OLI_CODE (rhos(n)/rau0) * sum(aicetl(n:jpl+1)) ! area of sub-layer occupied by snow |
|---|
| 1051 | !OLI_CODE |
|---|
| 1052 | !OLI_CODE vol = (hitl(n) - hitl(n-1)) * area ! thickness of sub-layer times area |
|---|
| 1053 | !OLI_CODE |
|---|
| 1054 | !OLI_CODE IF (vol >= rem_vol) THEN ! have reached the sub-layer with the depth within |
|---|
| 1055 | !OLI_CODE hpond = rem_vol / area + hitl(n-1) + alfan(m_index) - & |
|---|
| 1056 | !OLI_CODE alfan(1) |
|---|
| 1057 | !OLI_CODE exit |
|---|
| 1058 | !OLI_CODE ELSE ! still in sub-layer below the sub-layer with the depth |
|---|
| 1059 | !OLI_CODE rem_vol = rem_vol - vol |
|---|
| 1060 | !OLI_CODE END IF |
|---|
| 1061 | !OLI_CODE |
|---|
| 1062 | !OLI_CODE END DO |
|---|
| 1063 | !OLI_CODE |
|---|
| 1064 | !OLI_CODE END IF |
|---|
| 1065 | !OLI_CODE |
|---|
| 1066 | !OLI_CODE END SUBROUTINE calc_hpond |
|---|
| 1067 | !OLI_CODE |
|---|
| 1068 | !OLI_CODE |
|---|
| 1069 | SUBROUTINE lim_mp_perm(ticen, salin, vicen, perm) |
|---|
| 1070 | !!------------------------------------------------------------------- |
|---|
| 1071 | !! *** ROUTINE lim_mp_perm *** |
|---|
| 1072 | !! |
|---|
| 1073 | !! ** Purpose : Determine the liquid fraction of brine in the ice |
|---|
| 1074 | !! and its permeability |
|---|
| 1075 | !!------------------------------------------------------------------- |
|---|
| 1076 | REAL (wp), DIMENSION(nlay_i), INTENT(IN) :: & |
|---|
| 1077 | ticen, & ! energy of melting for each ice layer (J/m2) |
|---|
| 1078 | salin |
|---|
| 1079 | |
|---|
| 1080 | REAL (wp), INTENT(IN) :: & |
|---|
| 1081 | vicen ! ice volume |
|---|
| 1082 | |
|---|
| 1083 | REAL (wp), INTENT(OUT) :: & |
|---|
| 1084 | perm ! permeability |
|---|
| 1085 | |
|---|
| 1086 | REAL (wp) :: & |
|---|
| 1087 | Sbr ! brine salinity |
|---|
| 1088 | |
|---|
| 1089 | REAL (wp), DIMENSION(nlay_i) :: & |
|---|
| 1090 | Tin, & ! ice temperature |
|---|
| 1091 | phi ! liquid fraction |
|---|
| 1092 | |
|---|
| 1093 | INTEGER :: k |
|---|
| 1094 | |
|---|
| 1095 | REAL (wp) :: & |
|---|
| 1096 | c2 = 2.0_wp |
|---|
| 1097 | |
|---|
| 1098 | !----------------------------------------------------------------- |
|---|
| 1099 | ! Compute ice temperatures from enthalpies using quadratic formula |
|---|
| 1100 | !----------------------------------------------------------------- |
|---|
| 1101 | |
|---|
| 1102 | DO k = 1,nlay_i |
|---|
| 1103 | Tin(k) = ticen(k) |
|---|
| 1104 | END DO |
|---|
| 1105 | |
|---|
| 1106 | !----------------------------------------------------------------- |
|---|
| 1107 | ! brine salinity and liquid fraction |
|---|
| 1108 | !----------------------------------------------------------------- |
|---|
| 1109 | |
|---|
| 1110 | IF (maxval(Tin-rtt) <= -c2) THEN |
|---|
| 1111 | |
|---|
| 1112 | DO k = 1,nlay_i |
|---|
| 1113 | Sbr = - 1.2_wp & |
|---|
| 1114 | -21.8_wp * (Tin(k)-rtt) & |
|---|
| 1115 | - 0.919_wp * (Tin(k)-rtt)**2 & |
|---|
| 1116 | - 0.01878_wp * (Tin(k)-rtt)**3 |
|---|
| 1117 | phi(k) = salin(k)/Sbr ! liquid fraction |
|---|
| 1118 | END DO ! k |
|---|
| 1119 | |
|---|
| 1120 | ELSE |
|---|
| 1121 | |
|---|
| 1122 | DO k = 1,nlay_i |
|---|
| 1123 | Sbr = -17.6_wp * (Tin(k)-rtt) & |
|---|
| 1124 | - 0.389_wp * (Tin(k)-rtt)**2 & |
|---|
| 1125 | - 0.00362_wp* (Tin(k)-rtt)**3 |
|---|
| 1126 | phi(k) = salin(k)/Sbr ! liquid fraction |
|---|
| 1127 | END DO |
|---|
| 1128 | |
|---|
| 1129 | END IF |
|---|
| 1130 | |
|---|
| 1131 | !----------------------------------------------------------------- |
|---|
| 1132 | ! permeability |
|---|
| 1133 | !----------------------------------------------------------------- |
|---|
| 1134 | |
|---|
| 1135 | perm = 3.0e-08_wp * (minval(phi))**3 ! REFERENCE PLEASE (this fucking |
|---|
| 1136 | ! bastard of Golden) |
|---|
| 1137 | |
|---|
| 1138 | END SUBROUTINE lim_mp_perm |
|---|
| 1139 | !OLI_CODE |
|---|
| 1140 | !OLI_CODE #else |
|---|
| 1141 | !OLI_CODE !!---------------------------------------------------------------------- |
|---|
| 1142 | !OLI_CODE !! Default option Dummy Module No LIM-3 sea-ice model |
|---|
| 1143 | !OLI_CODE !!---------------------------------------------------------------------- |
|---|
| 1144 | !OLI_CODE CONTAINS |
|---|
| 1145 | !OLI_CODE SUBROUTINE lim_mp_init ! Empty routine |
|---|
| 1146 | !OLI_CODE END SUBROUTINE lim_mp_init |
|---|
| 1147 | !OLI_CODE SUBROUTINE lim_mp ! Empty routine |
|---|
| 1148 | !OLI_CODE END SUBROUTINE lim_mp |
|---|
| 1149 | !OLI_CODE SUBROUTINE compute_mp_topo ! Empty routine |
|---|
| 1150 | !OLI_CODE END SUBROUTINE compute_mp_topo |
|---|
| 1151 | !OLI_CODE SUBROUTINE pond_area ! Empty routine |
|---|
| 1152 | !OLI_CODE END SUBROUTINE pond_area |
|---|
| 1153 | !OLI_CODE SUBROUTINE calc_hpond ! Empty routine |
|---|
| 1154 | !OLI_CODE END SUBROUTINE calc_hpond |
|---|
| 1155 | !OLI_CODE SUBROUTINE permeability_phy ! Empty routine |
|---|
| 1156 | !OLI_CODE END SUBROUTINE permeability_phy |
|---|
| 1157 | !OLI_CODE #endif |
|---|
| 1158 | !OLI_CODE !!====================================================================== |
|---|
| 1159 | !OLI_CODE END MODULE limmp_topo |
|---|
| 1160 | |
|---|
| 1161 | |
|---|
| 1162 | !OLI_CODE MODULE limmp_topo |
|---|
| 1163 | !OLI_CODE !!====================================================================== |
|---|
| 1164 | !OLI_CODE !! *** MODULE limmp_topo *** |
|---|
| 1165 | !OLI_CODE !! LIM-3 sea-ice : computation of melt ponds' properties |
|---|
| 1166 | !OLI_CODE !!====================================================================== |
|---|
| 1167 | !OLI_CODE !! History : Original code by Daniela Flocco and Adrian Turner |
|---|
| 1168 | !OLI_CODE !! ! 2012-09 (O. Lecomte) Adaptation for routine inclusion in |
|---|
| 1169 | !OLI_CODE !! NEMO-LIM3.1 |
|---|
| 1170 | !OLI_CODE !! ! 2016-11 (O. Lecomte, C. Rousset, M. Vancoppenolle) |
|---|
| 1171 | !OLI_CODE !! Adaptation for merge with NEMO-LIM3.6 |
|---|
| 1172 | !OLI_CODE !!---------------------------------------------------------------------- |
|---|
| 1173 | !OLI_CODE #if defined key_lim3 |
|---|
| 1174 | !OLI_CODE !!---------------------------------------------------------------------- |
|---|
| 1175 | !OLI_CODE !! 'key_lim3' LIM-3 sea-ice model |
|---|
| 1176 | !OLI_CODE !!---------------------------------------------------------------------- |
|---|
| 1177 | !OLI_CODE !! lim_mp_init : melt pond properties initialization |
|---|
| 1178 | !OLI_CODE !! lim_mp : melt pond routine caller |
|---|
| 1179 | !OLI_CODE !! compute_mp_topo : Actual melt pond routine |
|---|
| 1180 | !OLI_CODE !!---------------------------------------------------------------------- |
|---|
| 1181 | !OLI_CODE USE ice_oce, ONLY: rdt_ice, tatm_ice |
|---|
| 1182 | !OLI_CODE USE phycst |
|---|
| 1183 | !OLI_CODE USE dom_ice |
|---|
| 1184 | !OLI_CODE USE dom_oce |
|---|
| 1185 | !OLI_CODE USE sbc_oce |
|---|
| 1186 | !OLI_CODE USE sbc_ice |
|---|
| 1187 | !OLI_CODE USE par_ice |
|---|
| 1188 | !OLI_CODE USE par_oce |
|---|
| 1189 | !OLI_CODE USE ice |
|---|
| 1190 | !OLI_CODE USE thd_ice |
|---|
| 1191 | !OLI_CODE USE in_out_manager |
|---|
| 1192 | !OLI_CODE USE lbclnk |
|---|
| 1193 | !OLI_CODE USE lib_mpp |
|---|
| 1194 | !OLI_CODE |
|---|
| 1195 | !OLI_CODE IMPLICIT NONE |
|---|
| 1196 | !OLI_CODE PRIVATE |
|---|
| 1197 | !OLI_CODE |
|---|
| 1198 | !OLI_CODE PUBLIC lim_mp_init |
|---|
| 1199 | !OLI_CODE PUBLIC lim_mp |
|---|
| 1200 | !OLI_CODE |
|---|
| 1201 | !OLI_CODE CONTAINS |
|---|
| 1202 | !OLI_CODE |
|---|
| 1203 | !OLI_CODE SUBROUTINE lim_mp_init |
|---|
| 1204 | !OLI_CODE !!------------------------------------------------------------------- |
|---|
| 1205 | !OLI_CODE !! *** ROUTINE lim_mp_init *** |
|---|
| 1206 | !OLI_CODE !! |
|---|
| 1207 | !OLI_CODE !! ** Purpose : Initialize melt ponds |
|---|
| 1208 | !OLI_CODE !!------------------------------------------------------------------- |
|---|
| 1209 | !OLI_CODE a_ip_frac(:,:,:) = 0._wp |
|---|
| 1210 | !OLI_CODE a_ip(:,:,:) = 0._wp |
|---|
| 1211 | !OLI_CODE h_ip(:,:,:) = 0._wp |
|---|
| 1212 | !OLI_CODE v_ip(:,:,:) = 0._wp |
|---|
| 1213 | !OLI_CODE h_il(:,:,:) = 0._wp |
|---|
| 1214 | !OLI_CODE v_il(:,:,:) = 0._wp |
|---|
| 1215 | !OLI_CODE |
|---|
| 1216 | !OLI_CODE END SUBROUTINE lim_mp_init |
|---|
| 1217 | !OLI_CODE |
|---|
| 1218 | !OLI_CODE |
|---|
| 1219 | !OLI_CODE SUBROUTINE lim_mp |
|---|
| 1220 | !OLI_CODE !!------------------------------------------------------------------- |
|---|
| 1221 | !OLI_CODE !! *** ROUTINE lim_mp *** |
|---|
| 1222 | !OLI_CODE !! |
|---|
| 1223 | !OLI_CODE !! ** Purpose : Compute surface heat flux and call main melt pond |
|---|
| 1224 | !OLI_CODE !! routine |
|---|
| 1225 | !OLI_CODE !!------------------------------------------------------------------- |
|---|
| 1226 | !OLI_CODE |
|---|
| 1227 | !OLI_CODE INTEGER :: ji, jj, jl ! dummy loop indices |
|---|
| 1228 | !OLI_CODE |
|---|
| 1229 | !OLI_CODE fsurf(:,:) = 0.e0 |
|---|
| 1230 | !OLI_CODE DO jl = 1, jpl |
|---|
| 1231 | !OLI_CODE DO jj = 1, jpj |
|---|
| 1232 | !OLI_CODE DO ji = 1, jpi |
|---|
| 1233 | !OLI_CODE fsurf(ji,jj) = fsurf(ji,jj) + a_i(ji,jj,jl) * & |
|---|
| 1234 | !OLI_CODE (qns_ice(ji,jj,jl) + (1.0 - izero(ji,jj,jl)) & |
|---|
| 1235 | !OLI_CODE * qsr_ice(ji,jj,jl)) |
|---|
| 1236 | !OLI_CODE END DO |
|---|
| 1237 | !OLI_CODE END DO |
|---|
| 1238 | !OLI_CODE END DO |
|---|
| 1239 | !OLI_CODE |
|---|
| 1240 | !OLI_CODE CALL compute_mp_topo(at_i, a_i, & |
|---|
| 1241 | !OLI_CODE vt_i, v_i, v_s, rhosn_glo, t_i, s_i, a_ip_frac, & |
|---|
| 1242 | !OLI_CODE h_ip, h_il, t_su, tatm_ice, diag_sur_me*rdt_ice, & |
|---|
| 1243 | !OLI_CODE fsurf, fwoc) |
|---|
| 1244 | !OLI_CODE |
|---|
| 1245 | !OLI_CODE at_ip(:,:) = 0.0 |
|---|
| 1246 | !OLI_CODE vt_ip(:,:) = 0.0 |
|---|
| 1247 | !OLI_CODE vt_il(:,:) = 0.0 |
|---|
| 1248 | !OLI_CODE DO jl = 1, jpl |
|---|
| 1249 | !OLI_CODE DO jj = 1, jpj |
|---|
| 1250 | !OLI_CODE DO ji = 1, jpi |
|---|
| 1251 | !OLI_CODE a_ip(ji,jj,jl) = MAX(0.0_wp, a_ip_frac(ji,jj,jl) * & |
|---|
| 1252 | !OLI_CODE a_i(ji,jj,jl)) |
|---|
| 1253 | !OLI_CODE v_ip(ji,jj,jl) = MAX(0.0_wp, a_ip_frac(ji,jj,jl) * & |
|---|
| 1254 | !OLI_CODE a_i(ji,jj,jl) * h_ip(ji,jj,jl)) |
|---|
| 1255 | !OLI_CODE v_il(ji,jj,jl) = MAX(0.0_wp, a_ip_frac(ji,jj,jl) * & |
|---|
| 1256 | !OLI_CODE a_i(ji,jj,jl) * h_il(ji,jj,jl)) |
|---|
| 1257 | !OLI_CODE at_ip(ji,jj) = at_ip(ji,jj) + a_ip(ji,jj,jl) |
|---|
| 1258 | !OLI_CODE vt_ip(ji,jj) = vt_ip(ji,jj) + v_ip(ji,jj,jl) |
|---|
| 1259 | !OLI_CODE vt_il(ji,jj) = vt_il(ji,jj) + v_il(ji,jj,jl) |
|---|
| 1260 | !OLI_CODE END DO |
|---|
| 1261 | !OLI_CODE END DO |
|---|
| 1262 | !OLI_CODE END DO |
|---|
| 1263 | !OLI_CODE |
|---|
| 1264 | !OLI_CODE END SUBROUTINE lim_mp |
|---|
| 1265 | !OLI_CODE |
|---|
| 1266 | !OLI_CODE |
|---|
| 1267 | !OLI_CODE SUBROUTINE compute_mp_topo(aice, aicen, & |
|---|
| 1268 | !OLI_CODE vice, vicen, & |
|---|
| 1269 | !OLI_CODE vsnon, rhos, & |
|---|
| 1270 | !OLI_CODE ticen, salin, & |
|---|
| 1271 | !OLI_CODE a_ip_frac, h_ip, & |
|---|
| 1272 | !OLI_CODE h_il, Tsfc, & |
|---|
| 1273 | !OLI_CODE potT, meltt, & |
|---|
| 1274 | !OLI_CODE fsurf, fwoc) |
|---|
| 1275 | !OLI_CODE !!------------------------------------------------------------------- |
|---|
| 1276 | !OLI_CODE !! *** ROUTINE compute_mp_topo *** |
|---|
| 1277 | !OLI_CODE !! |
|---|
| 1278 | !OLI_CODE !! ** Purpose : Compute melt pond evolution based on the ice |
|---|
| 1279 | !OLI_CODE !! topography as inferred from the ice thickness |
|---|
| 1280 | !OLI_CODE !! distribution. |
|---|
| 1281 | !OLI_CODE !! |
|---|
| 1282 | !OLI_CODE !! ** Method : This code is initially based on Flocco and Feltham |
|---|
| 1283 | !OLI_CODE !! (2007) and Flocco et al. (2010). More to come... |
|---|
| 1284 | !OLI_CODE !! |
|---|
| 1285 | !OLI_CODE !! ** Tunable parameters : |
|---|
| 1286 | !OLI_CODE !! |
|---|
| 1287 | !OLI_CODE !! ** Note : |
|---|
| 1288 | !OLI_CODE !! |
|---|
| 1289 | !OLI_CODE !! ** References |
|---|
| 1290 | !OLI_CODE !! Flocco, D. and D. L. Feltham, 2007. A continuum model of melt pond |
|---|
| 1291 | !OLI_CODE !! evolution on Arctic sea ice. J. Geophys. Res. 112, C08016, doi: |
|---|
| 1292 | !OLI_CODE !! 10.1029/2006JC003836. |
|---|
| 1293 | !OLI_CODE !! Flocco, D., D. L. Feltham and A. K. Turner, 2010. Incorporation of |
|---|
| 1294 | !OLI_CODE !! a physically based melt pond scheme into the sea ice component of a |
|---|
| 1295 | !OLI_CODE !! climate model. J. Geophys. Res. 115, C08012, |
|---|
| 1296 | !OLI_CODE !! doi: 10.1029/2009JC005568. |
|---|
| 1297 | !OLI_CODE !! |
|---|
| 1298 | !OLI_CODE !!------------------------------------------------------------------- |
|---|
| 1299 | !OLI_CODE |
|---|
| 1300 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj), & |
|---|
| 1301 | !OLI_CODE INTENT(IN) :: & |
|---|
| 1302 | !OLI_CODE aice, & ! total ice area fraction |
|---|
| 1303 | !OLI_CODE vice ! total ice volume (m) |
|---|
| 1304 | !OLI_CODE |
|---|
| 1305 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl), & |
|---|
| 1306 | !OLI_CODE INTENT(IN) :: & |
|---|
| 1307 | !OLI_CODE aicen, & ! ice area fraction, per category |
|---|
| 1308 | !OLI_CODE vsnon, & ! snow volume, per category (m) |
|---|
| 1309 | !OLI_CODE rhos, & ! equivalent snow density, per category (kg/m^3) |
|---|
| 1310 | !OLI_CODE vicen ! ice volume, per category (m) |
|---|
| 1311 | !OLI_CODE |
|---|
| 1312 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj,nlay_i,jpl), & |
|---|
| 1313 | !OLI_CODE INTENT(IN) :: & |
|---|
| 1314 | !OLI_CODE ticen, & ! ice enthalpy, per category |
|---|
| 1315 | !OLI_CODE salin |
|---|
| 1316 | !OLI_CODE |
|---|
| 1317 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl), & |
|---|
| 1318 | !OLI_CODE INTENT(INOUT) :: & |
|---|
| 1319 | !OLI_CODE a_ip_frac , & ! pond area fraction of ice, per ice category |
|---|
| 1320 | !OLI_CODE h_ip , & ! pond depth, per ice category (m) |
|---|
| 1321 | !OLI_CODE h_il ! Refrozen ice lid thickness, per ice category (m) |
|---|
| 1322 | !OLI_CODE |
|---|
| 1323 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj), & |
|---|
| 1324 | !OLI_CODE INTENT(IN) :: & |
|---|
| 1325 | !OLI_CODE potT, & ! air potential temperature |
|---|
| 1326 | !OLI_CODE meltt, & ! total surface meltwater flux |
|---|
| 1327 | !OLI_CODE fsurf ! thermodynamic heat flux at ice/snow surface (W/m^2) |
|---|
| 1328 | !OLI_CODE |
|---|
| 1329 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj), & |
|---|
| 1330 | !OLI_CODE INTENT(INOUT) :: & |
|---|
| 1331 | !OLI_CODE fwoc ! fresh water flux to the ocean (from draining and other pond volume adjustments) |
|---|
| 1332 | !OLI_CODE ! (m) |
|---|
| 1333 | !OLI_CODE |
|---|
| 1334 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl), & |
|---|
| 1335 | !OLI_CODE INTENT(IN) :: & |
|---|
| 1336 | !OLI_CODE Tsfc ! snow/sea ice surface temperature |
|---|
| 1337 | !OLI_CODE |
|---|
| 1338 | !OLI_CODE ! local variables |
|---|
| 1339 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl) :: & |
|---|
| 1340 | !OLI_CODE zTsfcn, & ! ice/snow surface temperature (C) |
|---|
| 1341 | !OLI_CODE zvolpn, & ! pond volume per unit area, per category (m) |
|---|
| 1342 | !OLI_CODE zvuin ! water-equivalent volume of ice lid on melt pond ('upper ice', m) |
|---|
| 1343 | !OLI_CODE |
|---|
| 1344 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl) :: & |
|---|
| 1345 | !OLI_CODE zapondn,& ! pond area fraction, per category |
|---|
| 1346 | !OLI_CODE zhpondn ! pond depth, per category (m) |
|---|
| 1347 | !OLI_CODE |
|---|
| 1348 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj) :: & |
|---|
| 1349 | !OLI_CODE zvolp ! total volume of pond, per unit area of pond (m) |
|---|
| 1350 | !OLI_CODE |
|---|
| 1351 | !OLI_CODE REAL (wp) :: & |
|---|
| 1352 | !OLI_CODE zhi, & ! ice thickness (m) |
|---|
| 1353 | !OLI_CODE zdHui, & ! change in thickness of ice lid (m) |
|---|
| 1354 | !OLI_CODE zomega, & ! conduction |
|---|
| 1355 | !OLI_CODE zdTice, & ! temperature difference across ice lid (C) |
|---|
| 1356 | !OLI_CODE zdvice, & ! change in ice volume (m) |
|---|
| 1357 | !OLI_CODE zTavg, & ! mean surface temperature across categories (C) |
|---|
| 1358 | !OLI_CODE zTp, & ! pond freezing temperature (C) |
|---|
| 1359 | !OLI_CODE zdvn ! change in melt pond volume for fresh water budget |
|---|
| 1360 | !OLI_CODE INTEGER, DIMENSION (jpi*jpj) :: & |
|---|
| 1361 | !OLI_CODE indxi, indxj ! compressed indices for cells with ice melting |
|---|
| 1362 | !OLI_CODE |
|---|
| 1363 | !OLI_CODE INTEGER :: n,k,i,j,ij,icells,indxij ! loop indices |
|---|
| 1364 | !OLI_CODE |
|---|
| 1365 | !OLI_CODE INTEGER, DIMENSION (jpl) :: & |
|---|
| 1366 | !OLI_CODE kcells ! cells where ice lid combines with vice |
|---|
| 1367 | !OLI_CODE |
|---|
| 1368 | !OLI_CODE INTEGER, DIMENSION (jpi*jpj,jpl) :: & |
|---|
| 1369 | !OLI_CODE indxii, indxjj ! i,j indices for kcells loop |
|---|
| 1370 | !OLI_CODE |
|---|
| 1371 | !OLI_CODE REAL (wp), parameter :: & |
|---|
| 1372 | !OLI_CODE zhicemin = 0.1_wp , & ! minimum ice thickness with ponds (m) |
|---|
| 1373 | !OLI_CODE zTd = 0.15_wp, & ! temperature difference for freeze-up (C) |
|---|
| 1374 | !OLI_CODE zr1_rlfus = 1._wp / 0.334e+6 / 917._wp , & ! (J/m^3) |
|---|
| 1375 | !OLI_CODE zmin_volp = 1.e-4_wp, & ! minimum pond volume (m) |
|---|
| 1376 | !OLI_CODE z0 = 0._wp, & |
|---|
| 1377 | !OLI_CODE zTimelt = 0._wp, & |
|---|
| 1378 | !OLI_CODE z01 = 0.01_wp, & |
|---|
| 1379 | !OLI_CODE z25 = 0.25_wp, & |
|---|
| 1380 | !OLI_CODE z5 = 0.5_wp, & |
|---|
| 1381 | !OLI_CODE epsi10 = 1.0e-11_wp |
|---|
| 1382 | !OLI_CODE !--------------------------------------------------------------- |
|---|
| 1383 | !OLI_CODE ! initialize |
|---|
| 1384 | !OLI_CODE !--------------------------------------------------------------- |
|---|
| 1385 | !OLI_CODE |
|---|
| 1386 | !OLI_CODE DO j = 1, jpj |
|---|
| 1387 | !OLI_CODE DO i = 1, jpi |
|---|
| 1388 | !OLI_CODE zvolp(i,j) = z0 |
|---|
| 1389 | !OLI_CODE END DO |
|---|
| 1390 | !OLI_CODE END DO |
|---|
| 1391 | !OLI_CODE DO n = 1, jpl |
|---|
| 1392 | !OLI_CODE DO j = 1, jpj |
|---|
| 1393 | !OLI_CODE DO i = 1, jpi |
|---|
| 1394 | !OLI_CODE ! load tracers |
|---|
| 1395 | !OLI_CODE zvolp(i,j) = zvolp(i,j) + h_ip(i,j,n) & |
|---|
| 1396 | !OLI_CODE * a_ip_frac(i,j,n) * aicen(i,j,n) |
|---|
| 1397 | !OLI_CODE zTsfcn(i,j,n) = Tsfc(i,j,n) - rtt ! convert in Celsius - Oli |
|---|
| 1398 | !OLI_CODE zvuin (i,j,n) = h_il(i,j,n) & |
|---|
| 1399 | !OLI_CODE * a_ip_frac(i,j,n) * aicen(i,j,n) |
|---|
| 1400 | !OLI_CODE |
|---|
| 1401 | !OLI_CODE zhpondn(i,j,n) = z0 ! pond depth, per category |
|---|
| 1402 | !OLI_CODE zapondn(i,j,n) = z0 ! pond area, per category |
|---|
| 1403 | !OLI_CODE END DO |
|---|
| 1404 | !OLI_CODE END DO |
|---|
| 1405 | !OLI_CODE indxii(:,n) = 0 |
|---|
| 1406 | !OLI_CODE indxjj(:,n) = 0 |
|---|
| 1407 | !OLI_CODE kcells (n) = 0 |
|---|
| 1408 | !OLI_CODE END DO |
|---|
| 1409 | !OLI_CODE |
|---|
| 1410 | !OLI_CODE ! The freezing temperature for meltponds is assumed slightly below 0C, |
|---|
| 1411 | !OLI_CODE ! as if meltponds had a little salt in them. The salt budget is not |
|---|
| 1412 | !OLI_CODE ! altered for meltponds, but if it were then an actual pond freezing |
|---|
| 1413 | !OLI_CODE ! temperature could be computed. |
|---|
| 1414 | !OLI_CODE |
|---|
| 1415 | !OLI_CODE zTp = zTimelt - zTd |
|---|
| 1416 | !OLI_CODE |
|---|
| 1417 | !OLI_CODE !----------------------------------------------------------------- |
|---|
| 1418 | !OLI_CODE ! Identify grid cells with ponds |
|---|
| 1419 | !OLI_CODE !----------------------------------------------------------------- |
|---|
| 1420 | !OLI_CODE |
|---|
| 1421 | !OLI_CODE icells = 0 |
|---|
| 1422 | !OLI_CODE DO j = 1, jpj |
|---|
| 1423 | !OLI_CODE DO i = 1, jpi |
|---|
| 1424 | !OLI_CODE zhi = z0 |
|---|
| 1425 | !OLI_CODE IF (aice(i,j) > epsi10) zhi = vice(i,j)/aice(i,j) |
|---|
| 1426 | !OLI_CODE IF ( aice(i,j) > z01 .and. zhi > zhicemin .and. & |
|---|
| 1427 | !OLI_CODE zvolp(i,j) > zmin_volp*aice(i,j)) THEN |
|---|
| 1428 | !OLI_CODE icells = icells + 1 |
|---|
| 1429 | !OLI_CODE indxi(icells) = i |
|---|
| 1430 | !OLI_CODE indxj(icells) = j |
|---|
| 1431 | !OLI_CODE ELSE ! remove ponds on thin ice |
|---|
| 1432 | !OLI_CODE !fpond(i,j) = fpond(i,j) - zvolp(i,j) |
|---|
| 1433 | !OLI_CODE zvolpn(i,j,:) = z0 |
|---|
| 1434 | !OLI_CODE zvuin (i,j,:) = z0 |
|---|
| 1435 | !OLI_CODE zvolp (i,j) = z0 |
|---|
| 1436 | !OLI_CODE END IF |
|---|
| 1437 | !OLI_CODE END DO ! i |
|---|
| 1438 | !OLI_CODE END DO ! j |
|---|
| 1439 | !OLI_CODE |
|---|
| 1440 | !OLI_CODE DO ij = 1, icells |
|---|
| 1441 | !OLI_CODE i = indxi(ij) |
|---|
| 1442 | !OLI_CODE j = indxj(ij) |
|---|
| 1443 | !OLI_CODE |
|---|
| 1444 | !OLI_CODE !-------------------------------------------------------------- |
|---|
| 1445 | !OLI_CODE ! calculate pond area and depth |
|---|
| 1446 | !OLI_CODE !-------------------------------------------------------------- |
|---|
| 1447 | !OLI_CODE CALL pond_area(aice(i,j),vice(i,j),rhos(i,j,:), & |
|---|
| 1448 | !OLI_CODE aicen(i,j,:), vicen(i,j,:), vsnon(i,j,:), & |
|---|
| 1449 | !OLI_CODE ticen(i,j,:,:), salin(i,j,:,:), & |
|---|
| 1450 | !OLI_CODE zvolpn(i,j,:), zvolp(i,j), & |
|---|
| 1451 | !OLI_CODE zapondn(i,j,:),zhpondn(i,j,:), zdvn) |
|---|
| 1452 | !OLI_CODE |
|---|
| 1453 | !OLI_CODE fwoc(i,j) = fwoc(i,j) + zdvn ! -> Goes to fresh water budget |
|---|
| 1454 | !OLI_CODE |
|---|
| 1455 | !OLI_CODE ! mean surface temperature |
|---|
| 1456 | !OLI_CODE zTavg = z0 |
|---|
| 1457 | !OLI_CODE DO n = 1, jpl |
|---|
| 1458 | !OLI_CODE zTavg = zTavg + zTsfcn(i,j,n)*aicen(i,j,n) |
|---|
| 1459 | !OLI_CODE END DO |
|---|
| 1460 | !OLI_CODE zTavg = zTavg / aice(i,j) |
|---|
| 1461 | !OLI_CODE |
|---|
| 1462 | !OLI_CODE DO n = 1, jpl-1 |
|---|
| 1463 | !OLI_CODE |
|---|
| 1464 | !OLI_CODE IF (zvuin(i,j,n) > epsi10) THEN |
|---|
| 1465 | !OLI_CODE |
|---|
| 1466 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1467 | !OLI_CODE ! melting: floating upper ice layer melts in whole or part |
|---|
| 1468 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1469 | !OLI_CODE ! IF (zTsfcn(i,j,n) > zTp) THEN |
|---|
| 1470 | !OLI_CODE IF (zTavg > zTp) THEN |
|---|
| 1471 | !OLI_CODE |
|---|
| 1472 | !OLI_CODE zdvice = min(meltt(i,j)*zapondn(i,j,n), zvuin(i,j,n)) |
|---|
| 1473 | !OLI_CODE IF (zdvice > epsi10) THEN |
|---|
| 1474 | !OLI_CODE zvuin (i,j,n) = zvuin (i,j,n) - zdvice |
|---|
| 1475 | !OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) + zdvice |
|---|
| 1476 | !OLI_CODE zvolp (i,j) = zvolp (i,j) + zdvice |
|---|
| 1477 | !OLI_CODE !fwoc(i,j) = fwoc(i,j) + zdvice |
|---|
| 1478 | !OLI_CODE |
|---|
| 1479 | !OLI_CODE IF (zvuin(i,j,n) < epsi10 .and. zvolpn(i,j,n) > puny) THEN |
|---|
| 1480 | !OLI_CODE ! ice lid melted and category is pond covered |
|---|
| 1481 | !OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) + zvuin(i,j,n) |
|---|
| 1482 | !OLI_CODE !fwoc(i,j) = fwoc(i,j) + zvuin(i,j,n) |
|---|
| 1483 | !OLI_CODE zvuin(i,j,n) = z0 |
|---|
| 1484 | !OLI_CODE END IF |
|---|
| 1485 | !OLI_CODE zhpondn(i,j,n) = zvolpn(i,j,n) / zapondn(i,j,n) |
|---|
| 1486 | !OLI_CODE END IF |
|---|
| 1487 | !OLI_CODE |
|---|
| 1488 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1489 | !OLI_CODE ! freezing: existing upper ice layer grows |
|---|
| 1490 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1491 | !OLI_CODE ELSE IF (zvolpn(i,j,n) > epsi10) THEN ! zTavg <= zTp |
|---|
| 1492 | !OLI_CODE |
|---|
| 1493 | !OLI_CODE ! dIFferential growth of base of surface floating ice layer |
|---|
| 1494 | !OLI_CODE zdTice = max(-zTavg, z0) ! > 0 |
|---|
| 1495 | !OLI_CODE zomega = rcdic*zdTice * zr1_rlfus |
|---|
| 1496 | !OLI_CODE zdHui = sqrt(zomega*rdt_ice + z25*(zvuin(i,j,n)/ & |
|---|
| 1497 | !OLI_CODE aicen(i,j,n))**2)- z5 * zvuin(i,j,n)/aicen(i,j,n) |
|---|
| 1498 | !OLI_CODE |
|---|
| 1499 | !OLI_CODE zdvice = min(zdHui*zapondn(i,j,n), zvolpn(i,j,n)) |
|---|
| 1500 | !OLI_CODE IF (zdvice > epsi10) THEN |
|---|
| 1501 | !OLI_CODE zvuin (i,j,n) = zvuin (i,j,n) + zdvice |
|---|
| 1502 | !OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) - zdvice |
|---|
| 1503 | !OLI_CODE zvolp (i,j) = zvolp (i,j) - zdvice |
|---|
| 1504 | !OLI_CODE !fwoc(i,j) = fwoc(i,j) - zdvice |
|---|
| 1505 | !OLI_CODE zhpondn(i,j,n) = zvolpn(i,j,n) / zapondn(i,j,n) |
|---|
| 1506 | !OLI_CODE END IF |
|---|
| 1507 | !OLI_CODE |
|---|
| 1508 | !OLI_CODE END IF ! zTavg |
|---|
| 1509 | !OLI_CODE |
|---|
| 1510 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1511 | !OLI_CODE ! freezing: upper ice layer begins to form |
|---|
| 1512 | !OLI_CODE ! note: albedo does not change |
|---|
| 1513 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1514 | !OLI_CODE ELSE ! zvuin < epsi10 |
|---|
| 1515 | !OLI_CODE |
|---|
| 1516 | !OLI_CODE ! thickness of newly formed ice |
|---|
| 1517 | !OLI_CODE ! the surface temperature of a meltpond is the same as that |
|---|
| 1518 | !OLI_CODE ! of the ice underneath (0C), and the thermodynamic surface |
|---|
| 1519 | !OLI_CODE ! flux is the same |
|---|
| 1520 | !OLI_CODE zdHui = max(-fsurf(i,j)*rdt_ice*zr1_rlfus, z0) |
|---|
| 1521 | !OLI_CODE zdvice = min(zdHui*zapondn(i,j,n), zvolpn(i,j,n)) |
|---|
| 1522 | !OLI_CODE IF (zdvice > epsi10) THEN |
|---|
| 1523 | !OLI_CODE zvuin (i,j,n) = zdvice |
|---|
| 1524 | !OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) - zdvice |
|---|
| 1525 | !OLI_CODE zvolp (i,j) = zvolp (i,j) - zdvice |
|---|
| 1526 | !OLI_CODE !fwoc(i,j) = fwoc(i,j) - zdvice |
|---|
| 1527 | !OLI_CODE zhpondn(i,j,n)= zvolpn(i,j,n) / zapondn(i,j,n) |
|---|
| 1528 | !OLI_CODE END IF |
|---|
| 1529 | !OLI_CODE |
|---|
| 1530 | !OLI_CODE END IF ! zvuin |
|---|
| 1531 | !OLI_CODE |
|---|
| 1532 | !OLI_CODE END DO ! jpl |
|---|
| 1533 | !OLI_CODE |
|---|
| 1534 | !OLI_CODE END DO ! ij |
|---|
| 1535 | !OLI_CODE |
|---|
| 1536 | !OLI_CODE !--------------------------------------------------------------- |
|---|
| 1537 | !OLI_CODE ! remove ice lid if there is no liquid pond |
|---|
| 1538 | !OLI_CODE ! zvuin may be nonzero on category jpl due to dynamics |
|---|
| 1539 | !OLI_CODE !--------------------------------------------------------------- |
|---|
| 1540 | !OLI_CODE |
|---|
| 1541 | !OLI_CODE DO j = 1, jpj |
|---|
| 1542 | !OLI_CODE DO i = 1, jpi |
|---|
| 1543 | !OLI_CODE DO n = 1, jpl |
|---|
| 1544 | !OLI_CODE IF (aicen(i,j,n) > epsi10 .and. zvolpn(i,j,n) < puny & |
|---|
| 1545 | !OLI_CODE .and. zvuin (i,j,n) > epsi10) THEN |
|---|
| 1546 | !OLI_CODE kcells(n) = kcells(n) + 1 |
|---|
| 1547 | !OLI_CODE indxij = kcells(n) |
|---|
| 1548 | !OLI_CODE indxii(indxij,n) = i |
|---|
| 1549 | !OLI_CODE indxjj(indxij,n) = j |
|---|
| 1550 | !OLI_CODE END IF |
|---|
| 1551 | !OLI_CODE END DO |
|---|
| 1552 | !OLI_CODE END DO ! i |
|---|
| 1553 | !OLI_CODE END DO ! j |
|---|
| 1554 | !OLI_CODE |
|---|
| 1555 | !OLI_CODE DO n = 1, jpl |
|---|
| 1556 | !OLI_CODE |
|---|
| 1557 | !OLI_CODE IF (kcells(n) > 0) THEN |
|---|
| 1558 | !OLI_CODE DO ij = 1, kcells(n) |
|---|
| 1559 | !OLI_CODE i = indxii(ij,n) |
|---|
| 1560 | !OLI_CODE j = indxjj(ij,n) |
|---|
| 1561 | !OLI_CODE fwoc(i,j) = fwoc(i,j) + rhoic/rauw * zvuin(i,j,n) ! Completely refrozen lid goes into ocean (to be changed) |
|---|
| 1562 | !OLI_CODE zvuin(i,j,n) = z0 |
|---|
| 1563 | !OLI_CODE END DO ! ij |
|---|
| 1564 | !OLI_CODE END IF |
|---|
| 1565 | !OLI_CODE |
|---|
| 1566 | !OLI_CODE ! reload tracers |
|---|
| 1567 | !OLI_CODE DO j = 1, jpj |
|---|
| 1568 | !OLI_CODE DO i = 1, jpi |
|---|
| 1569 | !OLI_CODE IF (zapondn(i,j,n) > epsi10) THEN |
|---|
| 1570 | !OLI_CODE h_il(i,j,n) = zvuin(i,j,n) / zapondn(i,j,n) |
|---|
| 1571 | !OLI_CODE ELSE |
|---|
| 1572 | !OLI_CODE zvuin(i,j,n) = z0 |
|---|
| 1573 | !OLI_CODE h_il(i,j,n) = z0 |
|---|
| 1574 | !OLI_CODE END IF |
|---|
| 1575 | !OLI_CODE IF (aicen(i,j,n) > epsi10) THEN |
|---|
| 1576 | !OLI_CODE a_ip_frac(i,j,n) = zapondn(i,j,n) / aicen(i,j,n) * & |
|---|
| 1577 | !OLI_CODE (1.0_wp - MAX(z0, SIGN(1.0_wp, -zvolpn(i,j,n)))) |
|---|
| 1578 | !OLI_CODE h_ip(i,j,n) = zhpondn(i,j,n) |
|---|
| 1579 | !OLI_CODE ELSE |
|---|
| 1580 | !OLI_CODE a_ip_frac(i,j,n) = z0 |
|---|
| 1581 | !OLI_CODE h_ip(i,j,n) = z0 |
|---|
| 1582 | !OLI_CODE h_il(i,j,n) = z0 |
|---|
| 1583 | !OLI_CODE END IF |
|---|
| 1584 | !OLI_CODE END DO ! i |
|---|
| 1585 | !OLI_CODE END DO ! j |
|---|
| 1586 | !OLI_CODE |
|---|
| 1587 | !OLI_CODE END DO ! n |
|---|
| 1588 | !OLI_CODE |
|---|
| 1589 | !OLI_CODE END SUBROUTINE compute_mp_topo |
|---|
| 1590 | !OLI_CODE |
|---|
| 1591 | !OLI_CODE |
|---|
| 1592 | !OLI_CODE SUBROUTINE pond_area(aice,vice,rhos, & |
|---|
| 1593 | !OLI_CODE aicen, vicen, vsnon, ticen, & |
|---|
| 1594 | !OLI_CODE salin, zvolpn, zvolp, & |
|---|
| 1595 | !OLI_CODE zapondn,zhpondn,dvolp) |
|---|
| 1596 | !OLI_CODE !!------------------------------------------------------------------- |
|---|
| 1597 | !OLI_CODE !! *** ROUTINE pond_area *** |
|---|
| 1598 | !OLI_CODE !! |
|---|
| 1599 | !OLI_CODE !! ** Purpose : Compute melt pond area, depth and melting rates |
|---|
| 1600 | !OLI_CODE !!------------------------------------------------------------------ |
|---|
| 1601 | !OLI_CODE REAL (wp), INTENT(IN) :: & |
|---|
| 1602 | !OLI_CODE aice,vice |
|---|
| 1603 | !OLI_CODE |
|---|
| 1604 | !OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(IN) :: & |
|---|
| 1605 | !OLI_CODE aicen, vicen, vsnon, rhos |
|---|
| 1606 | !OLI_CODE |
|---|
| 1607 | !OLI_CODE REAL (wp), DIMENSION(nlay_i,jpl), INTENT(IN) :: & |
|---|
| 1608 | !OLI_CODE ticen, salin |
|---|
| 1609 | !OLI_CODE |
|---|
| 1610 | !OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(INOUT) :: & |
|---|
| 1611 | !OLI_CODE zvolpn |
|---|
| 1612 | !OLI_CODE |
|---|
| 1613 | !OLI_CODE REAL (wp), INTENT(INOUT) :: & |
|---|
| 1614 | !OLI_CODE zvolp, dvolp |
|---|
| 1615 | !OLI_CODE |
|---|
| 1616 | !OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(OUT) :: & |
|---|
| 1617 | !OLI_CODE zapondn, zhpondn |
|---|
| 1618 | !OLI_CODE |
|---|
| 1619 | !OLI_CODE INTEGER :: & |
|---|
| 1620 | !OLI_CODE n, ns, & |
|---|
| 1621 | !OLI_CODE m_index, & |
|---|
| 1622 | !OLI_CODE permflag |
|---|
| 1623 | !OLI_CODE |
|---|
| 1624 | !OLI_CODE REAL (wp), DIMENSION(jpl) :: & |
|---|
| 1625 | !OLI_CODE hicen, & |
|---|
| 1626 | !OLI_CODE hsnon, & |
|---|
| 1627 | !OLI_CODE asnon, & |
|---|
| 1628 | !OLI_CODE alfan, & |
|---|
| 1629 | !OLI_CODE betan, & |
|---|
| 1630 | !OLI_CODE cum_max_vol, & |
|---|
| 1631 | !OLI_CODE reduced_aicen |
|---|
| 1632 | !OLI_CODE |
|---|
| 1633 | !OLI_CODE REAL (wp), DIMENSION(0:jpl) :: & |
|---|
| 1634 | !OLI_CODE cum_max_vol_tmp |
|---|
| 1635 | !OLI_CODE |
|---|
| 1636 | !OLI_CODE REAL (wp) :: & |
|---|
| 1637 | !OLI_CODE hpond, & |
|---|
| 1638 | !OLI_CODE drain, & |
|---|
| 1639 | !OLI_CODE floe_weight, & |
|---|
| 1640 | !OLI_CODE pressure_head, & |
|---|
| 1641 | !OLI_CODE hsl_rel, & |
|---|
| 1642 | !OLI_CODE deltah, & |
|---|
| 1643 | !OLI_CODE perm, & |
|---|
| 1644 | !OLI_CODE apond, & |
|---|
| 1645 | !OLI_CODE msno |
|---|
| 1646 | !OLI_CODE |
|---|
| 1647 | !OLI_CODE REAL (wp), parameter :: & |
|---|
| 1648 | !OLI_CODE viscosity = 1.79e-3_wp, & ! kinematic water viscosity in kg/m/s |
|---|
| 1649 | !OLI_CODE z0 = 0.0_wp , & |
|---|
| 1650 | !OLI_CODE c1 = 1.0_wp , & |
|---|
| 1651 | !OLI_CODE p4 = 0.4_wp , & |
|---|
| 1652 | !OLI_CODE p6 = 0.6_wp , & |
|---|
| 1653 | !OLI_CODE epsi10 = 1.0e-11_wp |
|---|
| 1654 | !OLI_CODE |
|---|
| 1655 | !OLI_CODE !-----------| |
|---|
| 1656 | !OLI_CODE ! | |
|---|
| 1657 | !OLI_CODE ! |-----------| |
|---|
| 1658 | !OLI_CODE !___________|___________|______________________________________sea-level |
|---|
| 1659 | !OLI_CODE ! | | |
|---|
| 1660 | !OLI_CODE ! | |---^--------| |
|---|
| 1661 | !OLI_CODE ! | | | | |
|---|
| 1662 | !OLI_CODE ! | | | |-----------| |------- |
|---|
| 1663 | !OLI_CODE ! | | |alfan(n)| | | |
|---|
| 1664 | !OLI_CODE ! | | | | |--------------| |
|---|
| 1665 | !OLI_CODE ! | | | | | | |
|---|
| 1666 | !OLI_CODE !---------------------------v------------------------------------------- |
|---|
| 1667 | !OLI_CODE ! | | ^ | | | |
|---|
| 1668 | !OLI_CODE ! | | | | |--------------| |
|---|
| 1669 | !OLI_CODE ! | | |betan(n)| | | |
|---|
| 1670 | !OLI_CODE ! | | | |-----------| |------- |
|---|
| 1671 | !OLI_CODE ! | | | | |
|---|
| 1672 | !OLI_CODE ! | |---v------- | |
|---|
| 1673 | !OLI_CODE ! | | |
|---|
| 1674 | !OLI_CODE ! |-----------| |
|---|
| 1675 | !OLI_CODE ! | |
|---|
| 1676 | !OLI_CODE !-----------| |
|---|
| 1677 | !OLI_CODE |
|---|
| 1678 | !OLI_CODE !------------------------------------------------------------------- |
|---|
| 1679 | !OLI_CODE ! initialize |
|---|
| 1680 | !OLI_CODE !------------------------------------------------------------------- |
|---|
| 1681 | !OLI_CODE |
|---|
| 1682 | !OLI_CODE DO n = 1, jpl |
|---|
| 1683 | !OLI_CODE |
|---|
| 1684 | !OLI_CODE zapondn(n) = z0 |
|---|
| 1685 | !OLI_CODE zhpondn(n) = z0 |
|---|
| 1686 | !OLI_CODE |
|---|
| 1687 | !OLI_CODE IF (aicen(n) < epsi10) THEN |
|---|
| 1688 | !OLI_CODE hicen(n) = z0 |
|---|
| 1689 | !OLI_CODE hsnon(n) = z0 |
|---|
| 1690 | !OLI_CODE reduced_aicen(n) = z0 |
|---|
| 1691 | !OLI_CODE ELSE |
|---|
| 1692 | !OLI_CODE hicen(n) = vicen(n) / aicen(n) |
|---|
| 1693 | !OLI_CODE hsnon(n) = vsnon(n) / aicen(n) |
|---|
| 1694 | !OLI_CODE reduced_aicen(n) = c1 ! n=jpl |
|---|
| 1695 | !OLI_CODE IF (n < jpl) reduced_aicen(n) = aicen(n) & |
|---|
| 1696 | !OLI_CODE * (-0.024_wp*hicen(n) + 0.832_wp) |
|---|
| 1697 | !OLI_CODE asnon(n) = reduced_aicen(n) |
|---|
| 1698 | !OLI_CODE END IF |
|---|
| 1699 | !OLI_CODE |
|---|
| 1700 | !OLI_CODE ! This choice for alfa and beta ignores hydrostatic equilibium of categories. |
|---|
| 1701 | !OLI_CODE ! Hydrostatic equilibium of the entire ITD is accounted for below, assuming |
|---|
| 1702 | !OLI_CODE ! a surface topography implied by alfa=0.6 and beta=0.4, and rigidity across all |
|---|
| 1703 | !OLI_CODE ! categories. alfa and beta partition the ITD - they are areas not thicknesses! |
|---|
| 1704 | !OLI_CODE ! Multiplying by hicen, alfan and betan (below) are thus volumes per unit area. |
|---|
| 1705 | !OLI_CODE ! Here, alfa = 60% of the ice area (and since hice is constant in a category, |
|---|
| 1706 | !OLI_CODE ! alfan = 60% of the ice volume) in each category lies above the reference line, |
|---|
| 1707 | !OLI_CODE ! and 40% below. Note: p6 is an arbitrary choice, but alfa+beta=1 is required. |
|---|
| 1708 | !OLI_CODE |
|---|
| 1709 | !OLI_CODE alfan(n) = p6 * hicen(n) |
|---|
| 1710 | !OLI_CODE betan(n) = p4 * hicen(n) |
|---|
| 1711 | !OLI_CODE |
|---|
| 1712 | !OLI_CODE cum_max_vol(n) = z0 |
|---|
| 1713 | !OLI_CODE cum_max_vol_tmp(n) = z0 |
|---|
| 1714 | !OLI_CODE |
|---|
| 1715 | !OLI_CODE END DO ! jpl |
|---|
| 1716 | !OLI_CODE |
|---|
| 1717 | !OLI_CODE cum_max_vol_tmp(0) = z0 |
|---|
| 1718 | !OLI_CODE drain = z0 |
|---|
| 1719 | !OLI_CODE dvolp = z0 |
|---|
| 1720 | !OLI_CODE |
|---|
| 1721 | !OLI_CODE !-------------------------------------------------------------------------- |
|---|
| 1722 | !OLI_CODE ! the maximum amount of water that can be contained up to each ice category |
|---|
| 1723 | !OLI_CODE !-------------------------------------------------------------------------- |
|---|
| 1724 | !OLI_CODE |
|---|
| 1725 | !OLI_CODE DO n = 1, jpl-1 ! last category can not hold any volume |
|---|
| 1726 | !OLI_CODE |
|---|
| 1727 | !OLI_CODE IF (alfan(n+1) >= alfan(n) .and. alfan(n+1) > z0) THEN |
|---|
| 1728 | !OLI_CODE |
|---|
| 1729 | !OLI_CODE ! total volume in level including snow |
|---|
| 1730 | !OLI_CODE cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1) + & |
|---|
| 1731 | !OLI_CODE (alfan(n+1) - alfan(n)) * sum(reduced_aicen(1:n)) |
|---|
| 1732 | !OLI_CODE |
|---|
| 1733 | !OLI_CODE |
|---|
| 1734 | !OLI_CODE ! subtract snow solid volumes from lower categories in current level |
|---|
| 1735 | !OLI_CODE DO ns = 1, n |
|---|
| 1736 | !OLI_CODE cum_max_vol_tmp(n) = cum_max_vol_tmp(n) & |
|---|
| 1737 | !OLI_CODE - rhos(ns)/rauw * & ! fraction of snow that is occupied by solid ??rauw |
|---|
| 1738 | !OLI_CODE asnon(ns) * & ! area of snow from that category |
|---|
| 1739 | !OLI_CODE max(min(hsnon(ns)+alfan(ns)-alfan(n), alfan(n+1)- & |
|---|
| 1740 | !OLI_CODE alfan(n)), z0) |
|---|
| 1741 | !OLI_CODE ! thickness of snow from ns layer in n layer |
|---|
| 1742 | !OLI_CODE END DO |
|---|
| 1743 | !OLI_CODE |
|---|
| 1744 | !OLI_CODE ELSE ! assume higher categories unoccupied |
|---|
| 1745 | !OLI_CODE cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1) |
|---|
| 1746 | !OLI_CODE END IF |
|---|
| 1747 | !OLI_CODE !IF (cum_max_vol_tmp(n) < z0) THEN |
|---|
| 1748 | !OLI_CODE ! call abort_ice('negative melt pond volume') |
|---|
| 1749 | !OLI_CODE !END IF |
|---|
| 1750 | !OLI_CODE END DO |
|---|
| 1751 | !OLI_CODE cum_max_vol_tmp(jpl) = cum_max_vol_tmp(jpl-1) ! last category holds no volume |
|---|
| 1752 | !OLI_CODE cum_max_vol (1:jpl) = cum_max_vol_tmp(1:jpl) |
|---|
| 1753 | !OLI_CODE |
|---|
| 1754 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1755 | !OLI_CODE ! is there more meltwater than can be held in the floe? |
|---|
| 1756 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1757 | !OLI_CODE IF (zvolp >= cum_max_vol(jpl)) THEN |
|---|
| 1758 | !OLI_CODE drain = zvolp - cum_max_vol(jpl) + epsi10 |
|---|
| 1759 | !OLI_CODE zvolp = zvolp - drain |
|---|
| 1760 | !OLI_CODE dvolp = drain |
|---|
| 1761 | !OLI_CODE IF (zvolp < epsi10) THEN |
|---|
| 1762 | !OLI_CODE dvolp = dvolp + zvolp |
|---|
| 1763 | !OLI_CODE zvolp = z0 |
|---|
| 1764 | !OLI_CODE END IF |
|---|
| 1765 | !OLI_CODE END IF |
|---|
| 1766 | !OLI_CODE |
|---|
| 1767 | !OLI_CODE ! height and area corresponding to the remaining volume |
|---|
| 1768 | !OLI_CODE |
|---|
| 1769 | !OLI_CODE call calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, & |
|---|
| 1770 | !OLI_CODE zvolp, cum_max_vol, hpond, m_index) |
|---|
| 1771 | !OLI_CODE |
|---|
| 1772 | !OLI_CODE DO n=1, m_index |
|---|
| 1773 | !OLI_CODE zhpondn(n) = hpond - alfan(n) + alfan(1) |
|---|
| 1774 | !OLI_CODE zapondn(n) = reduced_aicen(n) |
|---|
| 1775 | !OLI_CODE END DO |
|---|
| 1776 | !OLI_CODE apond = sum(zapondn(1:m_index)) |
|---|
| 1777 | !OLI_CODE |
|---|
| 1778 | !OLI_CODE !------------------------------------------------------------------------ |
|---|
| 1779 | !OLI_CODE ! drainage due to ice permeability - Darcy's law |
|---|
| 1780 | !OLI_CODE !------------------------------------------------------------------------ |
|---|
| 1781 | !OLI_CODE |
|---|
| 1782 | !OLI_CODE ! sea water level |
|---|
| 1783 | !OLI_CODE msno = z0 |
|---|
| 1784 | !OLI_CODE DO n=1,jpl |
|---|
| 1785 | !OLI_CODE msno = msno + vsnon(n) * rhos(n) |
|---|
| 1786 | !OLI_CODE END DO |
|---|
| 1787 | !OLI_CODE floe_weight = (msno + rhoic*vice + rau0*zvolp) / aice |
|---|
| 1788 | !OLI_CODE hsl_rel = floe_weight / rau0 & |
|---|
| 1789 | !OLI_CODE - ((sum(betan(:)*aicen(:))/aice) + alfan(1)) |
|---|
| 1790 | !OLI_CODE |
|---|
| 1791 | !OLI_CODE deltah = hpond - hsl_rel |
|---|
| 1792 | !OLI_CODE pressure_head = grav * rau0 * max(deltah, z0) |
|---|
| 1793 | !OLI_CODE |
|---|
| 1794 | !OLI_CODE ! drain IF ice is permeable |
|---|
| 1795 | !OLI_CODE permflag = 0 |
|---|
| 1796 | !OLI_CODE IF (pressure_head > z0) THEN |
|---|
| 1797 | !OLI_CODE DO n = 1, jpl-1 |
|---|
| 1798 | !OLI_CODE IF (hicen(n) /= z0) THEN |
|---|
| 1799 | !OLI_CODE CALL permeability_phi(ticen(:,n), salin(:,n), vicen(n), perm) |
|---|
| 1800 | !OLI_CODE IF (perm > z0) permflag = 1 |
|---|
| 1801 | !OLI_CODE drain = perm*zapondn(n)*pressure_head*rdt_ice / & |
|---|
| 1802 | !OLI_CODE (viscosity*hicen(n)) |
|---|
| 1803 | !OLI_CODE dvolp = dvolp + min(drain, zvolp) |
|---|
| 1804 | !OLI_CODE zvolp = max(zvolp - drain, z0) |
|---|
| 1805 | !OLI_CODE IF (zvolp < epsi10) THEN |
|---|
| 1806 | !OLI_CODE dvolp = dvolp + zvolp |
|---|
| 1807 | !OLI_CODE zvolp = z0 |
|---|
| 1808 | !OLI_CODE END IF |
|---|
| 1809 | !OLI_CODE END IF |
|---|
| 1810 | !OLI_CODE END DO |
|---|
| 1811 | !OLI_CODE |
|---|
| 1812 | !OLI_CODE ! adjust melt pond DIMENSIONs |
|---|
| 1813 | !OLI_CODE IF (permflag > 0) THEN |
|---|
| 1814 | !OLI_CODE ! recompute pond depth |
|---|
| 1815 | !OLI_CODE CALL calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, & |
|---|
| 1816 | !OLI_CODE zvolp, cum_max_vol, hpond, m_index) |
|---|
| 1817 | !OLI_CODE DO n=1, m_index |
|---|
| 1818 | !OLI_CODE zhpondn(n) = hpond - alfan(n) + alfan(1) |
|---|
| 1819 | !OLI_CODE zapondn(n) = reduced_aicen(n) |
|---|
| 1820 | !OLI_CODE END DO |
|---|
| 1821 | !OLI_CODE apond = sum(zapondn(1:m_index)) |
|---|
| 1822 | !OLI_CODE END IF |
|---|
| 1823 | !OLI_CODE END IF ! pressure_head |
|---|
| 1824 | !OLI_CODE |
|---|
| 1825 | !OLI_CODE !------------------------------------------------------------------------ |
|---|
| 1826 | !OLI_CODE ! total melt pond volume in category DOes not include snow volume |
|---|
| 1827 | !OLI_CODE ! snow in melt ponds is not melted |
|---|
| 1828 | !OLI_CODE !------------------------------------------------------------------------ |
|---|
| 1829 | !OLI_CODE |
|---|
| 1830 | !OLI_CODE ! Calculate pond volume for lower categories |
|---|
| 1831 | !OLI_CODE DO n=1,m_index-1 |
|---|
| 1832 | !OLI_CODE zvolpn(n) = zapondn(n) * zhpondn(n) & |
|---|
| 1833 | !OLI_CODE - (rhos(n)/rauw) * asnon(n) * min(hsnon(n), zhpondn(n))! |
|---|
| 1834 | !OLI_CODE END DO |
|---|
| 1835 | !OLI_CODE |
|---|
| 1836 | !OLI_CODE ! Calculate pond volume for highest category = remaining pond volume |
|---|
| 1837 | !OLI_CODE IF (m_index == 1) zvolpn(m_index) = zvolp |
|---|
| 1838 | !OLI_CODE IF (m_index > 1) THEN |
|---|
| 1839 | !OLI_CODE IF (zvolp > sum(zvolpn(1:m_index-1))) THEN |
|---|
| 1840 | !OLI_CODE zvolpn(m_index) = zvolp - sum(zvolpn(1:m_index-1)) |
|---|
| 1841 | !OLI_CODE ELSE |
|---|
| 1842 | !OLI_CODE zvolpn(m_index) = z0 |
|---|
| 1843 | !OLI_CODE zhpondn(m_index) = z0 |
|---|
| 1844 | !OLI_CODE zapondn(m_index) = z0 |
|---|
| 1845 | !OLI_CODE ! If remaining pond volume is negative reduce pond volume of |
|---|
| 1846 | !OLI_CODE ! lower category |
|---|
| 1847 | !OLI_CODE IF (zvolp+epsi10 < sum(zvolpn(1:m_index-1))) & |
|---|
| 1848 | !OLI_CODE zvolpn(m_index-1) = zvolpn(m_index-1)-sum(zvolpn(1:m_index-1))& |
|---|
| 1849 | !OLI_CODE + zvolp |
|---|
| 1850 | !OLI_CODE END IF |
|---|
| 1851 | !OLI_CODE END IF |
|---|
| 1852 | !OLI_CODE |
|---|
| 1853 | !OLI_CODE DO n=1,m_index |
|---|
| 1854 | !OLI_CODE IF (zapondn(n) > epsi10) THEN |
|---|
| 1855 | !OLI_CODE zhpondn(n) = zvolpn(n) / zapondn(n) |
|---|
| 1856 | !OLI_CODE ELSE |
|---|
| 1857 | !OLI_CODE dvolp = dvolp + zvolpn(n) |
|---|
| 1858 | !OLI_CODE zhpondn(n) = z0 |
|---|
| 1859 | !OLI_CODE zvolpn(n) = z0 |
|---|
| 1860 | !OLI_CODE zapondn(n) = z0 |
|---|
| 1861 | !OLI_CODE end IF |
|---|
| 1862 | !OLI_CODE END DO |
|---|
| 1863 | !OLI_CODE DO n = m_index+1, jpl |
|---|
| 1864 | !OLI_CODE zhpondn(n) = z0 |
|---|
| 1865 | !OLI_CODE zapondn(n) = z0 |
|---|
| 1866 | !OLI_CODE zvolpn (n) = z0 |
|---|
| 1867 | !OLI_CODE END DO |
|---|
| 1868 | !OLI_CODE |
|---|
| 1869 | !OLI_CODE END SUBROUTINE pond_area |
|---|
| 1870 | !OLI_CODE |
|---|
| 1871 | !OLI_CODE |
|---|
| 1872 | !OLI_CODE SUBROUTINE calc_hpond(aicen, asnon, hsnon, rhos, alfan, & |
|---|
| 1873 | !OLI_CODE zvolp, cum_max_vol, & |
|---|
| 1874 | !OLI_CODE hpond, m_index) |
|---|
| 1875 | !OLI_CODE !!------------------------------------------------------------------- |
|---|
| 1876 | !OLI_CODE !! *** ROUTINE calc_hpond *** |
|---|
| 1877 | !OLI_CODE !! |
|---|
| 1878 | !OLI_CODE !! ** Purpose : Compute melt pond depth |
|---|
| 1879 | !OLI_CODE !!------------------------------------------------------------------- |
|---|
| 1880 | !OLI_CODE |
|---|
| 1881 | !OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(IN) :: & |
|---|
| 1882 | !OLI_CODE aicen, & |
|---|
| 1883 | !OLI_CODE asnon, & |
|---|
| 1884 | !OLI_CODE hsnon, & |
|---|
| 1885 | !OLI_CODE rhos, & |
|---|
| 1886 | !OLI_CODE alfan, & |
|---|
| 1887 | !OLI_CODE cum_max_vol |
|---|
| 1888 | !OLI_CODE |
|---|
| 1889 | !OLI_CODE REAL (wp), INTENT(IN) :: & |
|---|
| 1890 | !OLI_CODE zvolp |
|---|
| 1891 | !OLI_CODE |
|---|
| 1892 | !OLI_CODE REAL (wp), INTENT(OUT) :: & |
|---|
| 1893 | !OLI_CODE hpond |
|---|
| 1894 | !OLI_CODE |
|---|
| 1895 | !OLI_CODE INTEGER, INTENT(OUT) :: & |
|---|
| 1896 | !OLI_CODE m_index |
|---|
| 1897 | !OLI_CODE |
|---|
| 1898 | !OLI_CODE INTEGER :: n, ns |
|---|
| 1899 | !OLI_CODE |
|---|
| 1900 | !OLI_CODE REAL (wp), DIMENSION(0:jpl+1) :: & |
|---|
| 1901 | !OLI_CODE hitl, & |
|---|
| 1902 | !OLI_CODE aicetl |
|---|
| 1903 | !OLI_CODE |
|---|
| 1904 | !OLI_CODE REAL (wp) :: & |
|---|
| 1905 | !OLI_CODE rem_vol, & |
|---|
| 1906 | !OLI_CODE area, & |
|---|
| 1907 | !OLI_CODE vol, & |
|---|
| 1908 | !OLI_CODE tmp, & |
|---|
| 1909 | !OLI_CODE z0 = 0.0_wp, & |
|---|
| 1910 | !OLI_CODE epsi10 = 1.0e-11_wp |
|---|
| 1911 | !OLI_CODE |
|---|
| 1912 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1913 | !OLI_CODE ! hpond is zero if zvolp is zero - have we fully drained? |
|---|
| 1914 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1915 | !OLI_CODE |
|---|
| 1916 | !OLI_CODE IF (zvolp < epsi10) THEN |
|---|
| 1917 | !OLI_CODE hpond = z0 |
|---|
| 1918 | !OLI_CODE m_index = 0 |
|---|
| 1919 | !OLI_CODE ELSE |
|---|
| 1920 | !OLI_CODE |
|---|
| 1921 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1922 | !OLI_CODE ! Calculate the category where water fills up to |
|---|
| 1923 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1924 | !OLI_CODE |
|---|
| 1925 | !OLI_CODE !----------| |
|---|
| 1926 | !OLI_CODE ! | |
|---|
| 1927 | !OLI_CODE ! | |
|---|
| 1928 | !OLI_CODE ! |----------| -- -- |
|---|
| 1929 | !OLI_CODE !__________|__________|_________________________________________ ^ |
|---|
| 1930 | !OLI_CODE ! | | rem_vol ^ | Semi-filled |
|---|
| 1931 | !OLI_CODE ! | |----------|-- -- -- - ---|-- ---- -- -- --v layer |
|---|
| 1932 | !OLI_CODE ! | | | | |
|---|
| 1933 | !OLI_CODE ! | | | |hpond |
|---|
| 1934 | !OLI_CODE ! | | |----------| | |------- |
|---|
| 1935 | !OLI_CODE ! | | | | | | |
|---|
| 1936 | !OLI_CODE ! | | | |---v-----| |
|---|
| 1937 | !OLI_CODE ! | | m_index | | | |
|---|
| 1938 | !OLI_CODE !------------------------------------------------------------- |
|---|
| 1939 | !OLI_CODE |
|---|
| 1940 | !OLI_CODE m_index = 0 ! 1:m_index categories have water in them |
|---|
| 1941 | !OLI_CODE DO n = 1, jpl |
|---|
| 1942 | !OLI_CODE IF (zvolp <= cum_max_vol(n)) THEN |
|---|
| 1943 | !OLI_CODE m_index = n |
|---|
| 1944 | !OLI_CODE IF (n == 1) THEN |
|---|
| 1945 | !OLI_CODE rem_vol = zvolp |
|---|
| 1946 | !OLI_CODE ELSE |
|---|
| 1947 | !OLI_CODE rem_vol = zvolp - cum_max_vol(n-1) |
|---|
| 1948 | !OLI_CODE END IF |
|---|
| 1949 | !OLI_CODE exit ! to break out of the loop |
|---|
| 1950 | !OLI_CODE END IF |
|---|
| 1951 | !OLI_CODE END DO |
|---|
| 1952 | !OLI_CODE m_index = min(jpl-1, m_index) |
|---|
| 1953 | !OLI_CODE |
|---|
| 1954 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1955 | !OLI_CODE ! semi-filled layer may have m_index different snow in it |
|---|
| 1956 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1957 | !OLI_CODE |
|---|
| 1958 | !OLI_CODE !----------------------------------------------------------- ^ |
|---|
| 1959 | !OLI_CODE ! | alfan(m_index+1) |
|---|
| 1960 | !OLI_CODE ! | |
|---|
| 1961 | !OLI_CODE !hitl(3)--> |----------| | |
|---|
| 1962 | !OLI_CODE !hitl(2)--> |------------| * * * * *| | |
|---|
| 1963 | !OLI_CODE !hitl(1)--> |----------|* * * * * * |* * * * * | | |
|---|
| 1964 | !OLI_CODE !hitl(0)-->------------------------------------------------- | ^ |
|---|
| 1965 | !OLI_CODE ! various snow from lower categories | |alfa(m_index) |
|---|
| 1966 | !OLI_CODE |
|---|
| 1967 | !OLI_CODE ! hitl - heights of the snow layers from thinner and current categories |
|---|
| 1968 | !OLI_CODE ! aicetl - area of each snow depth in this layer |
|---|
| 1969 | !OLI_CODE |
|---|
| 1970 | !OLI_CODE hitl(:) = z0 |
|---|
| 1971 | !OLI_CODE aicetl(:) = z0 |
|---|
| 1972 | !OLI_CODE DO n = 1, m_index |
|---|
| 1973 | !OLI_CODE hitl(n) = max(min(hsnon(n) + alfan(n) - alfan(m_index), & |
|---|
| 1974 | !OLI_CODE alfan(m_index+1) - alfan(m_index)), z0) |
|---|
| 1975 | !OLI_CODE aicetl(n) = asnon(n) |
|---|
| 1976 | !OLI_CODE |
|---|
| 1977 | !OLI_CODE aicetl(0) = aicetl(0) + (aicen(n) - asnon(n)) |
|---|
| 1978 | !OLI_CODE END DO |
|---|
| 1979 | !OLI_CODE hitl(m_index+1) = alfan(m_index+1) - alfan(m_index) |
|---|
| 1980 | !OLI_CODE aicetl(m_index+1) = z0 |
|---|
| 1981 | !OLI_CODE |
|---|
| 1982 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1983 | !OLI_CODE ! reorder array according to hitl |
|---|
| 1984 | !OLI_CODE ! snow heights not necessarily in height order |
|---|
| 1985 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 1986 | !OLI_CODE |
|---|
| 1987 | !OLI_CODE DO ns = 1, m_index+1 |
|---|
| 1988 | !OLI_CODE DO n = 0, m_index - ns + 1 |
|---|
| 1989 | !OLI_CODE IF (hitl(n) > hitl(n+1)) THEN ! swap order |
|---|
| 1990 | !OLI_CODE tmp = hitl(n) |
|---|
| 1991 | !OLI_CODE hitl(n) = hitl(n+1) |
|---|
| 1992 | !OLI_CODE hitl(n+1) = tmp |
|---|
| 1993 | !OLI_CODE tmp = aicetl(n) |
|---|
| 1994 | !OLI_CODE aicetl(n) = aicetl(n+1) |
|---|
| 1995 | !OLI_CODE aicetl(n+1) = tmp |
|---|
| 1996 | !OLI_CODE END IF |
|---|
| 1997 | !OLI_CODE END DO |
|---|
| 1998 | !OLI_CODE END DO |
|---|
| 1999 | !OLI_CODE |
|---|
| 2000 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 2001 | !OLI_CODE ! divide semi-filled layer into set of sublayers each vertically homogenous |
|---|
| 2002 | !OLI_CODE !---------------------------------------------------------------- |
|---|
| 2003 | !OLI_CODE |
|---|
| 2004 | !OLI_CODE !hitl(3)---------------------------------------------------------------- |
|---|
| 2005 | !OLI_CODE ! | * * * * * * * * |
|---|
| 2006 | !OLI_CODE ! |* * * * * * * * * |
|---|
| 2007 | !OLI_CODE !hitl(2)---------------------------------------------------------------- |
|---|
| 2008 | !OLI_CODE ! | * * * * * * * * | * * * * * * * * |
|---|
| 2009 | !OLI_CODE ! |* * * * * * * * * |* * * * * * * * * |
|---|
| 2010 | !OLI_CODE !hitl(1)---------------------------------------------------------------- |
|---|
| 2011 | !OLI_CODE ! | * * * * * * * * | * * * * * * * * | * * * * * * * * |
|---|
| 2012 | !OLI_CODE ! |* * * * * * * * * |* * * * * * * * * |* * * * * * * * * |
|---|
| 2013 | !OLI_CODE !hitl(0)---------------------------------------------------------------- |
|---|
| 2014 | !OLI_CODE ! aicetl(0) aicetl(1) aicetl(2) aicetl(3) |
|---|
| 2015 | !OLI_CODE |
|---|
| 2016 | !OLI_CODE ! move up over layers incrementing volume |
|---|
| 2017 | !OLI_CODE DO n = 1, m_index+1 |
|---|
| 2018 | !OLI_CODE |
|---|
| 2019 | !OLI_CODE area = sum(aicetl(:)) - & ! total area of sub-layer |
|---|
| 2020 | !OLI_CODE (rhos(n)/rau0) * sum(aicetl(n:jpl+1)) ! area of sub-layer occupied by snow |
|---|
| 2021 | !OLI_CODE |
|---|
| 2022 | !OLI_CODE vol = (hitl(n) - hitl(n-1)) * area ! thickness of sub-layer times area |
|---|
| 2023 | !OLI_CODE |
|---|
| 2024 | !OLI_CODE IF (vol >= rem_vol) THEN ! have reached the sub-layer with the depth within |
|---|
| 2025 | !OLI_CODE hpond = rem_vol / area + hitl(n-1) + alfan(m_index) - & |
|---|
| 2026 | !OLI_CODE alfan(1) |
|---|
| 2027 | !OLI_CODE exit |
|---|
| 2028 | !OLI_CODE ELSE ! still in sub-layer below the sub-layer with the depth |
|---|
| 2029 | !OLI_CODE rem_vol = rem_vol - vol |
|---|
| 2030 | !OLI_CODE END IF |
|---|
| 2031 | !OLI_CODE |
|---|
| 2032 | !OLI_CODE END DO |
|---|
| 2033 | !OLI_CODE |
|---|
| 2034 | !OLI_CODE END IF |
|---|
| 2035 | !OLI_CODE |
|---|
| 2036 | !OLI_CODE END SUBROUTINE calc_hpond |
|---|
| 2037 | !OLI_CODE |
|---|
| 2038 | !OLI_CODE |
|---|
| 2039 | !OLI_CODE SUBROUTINE permeability_phi(ticen, salin, vicen, perm) |
|---|
| 2040 | !OLI_CODE !!------------------------------------------------------------------- |
|---|
| 2041 | !OLI_CODE !! *** ROUTINE permeability_phi *** |
|---|
| 2042 | !OLI_CODE !! |
|---|
| 2043 | !OLI_CODE !! ** Purpose : Determine the liquid fraction of brine in the ice |
|---|
| 2044 | !OLI_CODE !! and its permeability |
|---|
| 2045 | !OLI_CODE !!------------------------------------------------------------------- |
|---|
| 2046 | !OLI_CODE REAL (wp), DIMENSION(nlay_i), INTENT(IN) :: & |
|---|
| 2047 | !OLI_CODE ticen, & ! energy of melting for each ice layer (J/m2) |
|---|
| 2048 | !OLI_CODE salin |
|---|
| 2049 | !OLI_CODE |
|---|
| 2050 | !OLI_CODE REAL (wp), INTENT(IN) :: & |
|---|
| 2051 | !OLI_CODE vicen ! ice volume |
|---|
| 2052 | !OLI_CODE |
|---|
| 2053 | !OLI_CODE REAL (wp), INTENT(OUT) :: & |
|---|
| 2054 | !OLI_CODE perm ! permeability |
|---|
| 2055 | !OLI_CODE |
|---|
| 2056 | !OLI_CODE REAL (wp) :: & |
|---|
| 2057 | !OLI_CODE Sbr ! brine salinity |
|---|
| 2058 | !OLI_CODE |
|---|
| 2059 | !OLI_CODE REAL (wp), DIMENSION(nlay_i) :: & |
|---|
| 2060 | !OLI_CODE Tin, & ! ice temperature |
|---|
| 2061 | !OLI_CODE phi ! liquid fraction |
|---|
| 2062 | !OLI_CODE |
|---|
| 2063 | !OLI_CODE INTEGER :: k |
|---|
| 2064 | !OLI_CODE |
|---|
| 2065 | !OLI_CODE REAL (wp) :: & |
|---|
| 2066 | !OLI_CODE c2 = 2.0_wp |
|---|
| 2067 | !OLI_CODE |
|---|
| 2068 | !OLI_CODE !----------------------------------------------------------------- |
|---|
| 2069 | !OLI_CODE ! Compute ice temperatures from enthalpies using quadratic formula |
|---|
| 2070 | !OLI_CODE !----------------------------------------------------------------- |
|---|
| 2071 | !OLI_CODE |
|---|
| 2072 | !OLI_CODE DO k = 1,nlay_i |
|---|
| 2073 | !OLI_CODE Tin(k) = ticen(k) |
|---|
| 2074 | !OLI_CODE END DO |
|---|
| 2075 | !OLI_CODE |
|---|
| 2076 | !OLI_CODE !----------------------------------------------------------------- |
|---|
| 2077 | !OLI_CODE ! brine salinity and liquid fraction |
|---|
| 2078 | !OLI_CODE !----------------------------------------------------------------- |
|---|
| 2079 | !OLI_CODE |
|---|
| 2080 | !OLI_CODE IF (maxval(Tin-rtt) <= -c2) THEN |
|---|
| 2081 | !OLI_CODE |
|---|
| 2082 | !OLI_CODE DO k = 1,nlay_i |
|---|
| 2083 | !OLI_CODE Sbr = - 1.2_wp & |
|---|
| 2084 | !OLI_CODE -21.8_wp * (Tin(k)-rtt) & |
|---|
| 2085 | !OLI_CODE - 0.919_wp * (Tin(k)-rtt)**2 & |
|---|
| 2086 | !OLI_CODE - 0.01878_wp * (Tin(k)-rtt)**3 |
|---|
| 2087 | !OLI_CODE phi(k) = salin(k)/Sbr ! liquid fraction |
|---|
| 2088 | !OLI_CODE END DO ! k |
|---|
| 2089 | !OLI_CODE |
|---|
| 2090 | !OLI_CODE ELSE |
|---|
| 2091 | !OLI_CODE |
|---|
| 2092 | !OLI_CODE DO k = 1,nlay_i |
|---|
| 2093 | !OLI_CODE Sbr = -17.6_wp * (Tin(k)-rtt) & |
|---|
| 2094 | !OLI_CODE - 0.389_wp * (Tin(k)-rtt)**2 & |
|---|
| 2095 | !OLI_CODE - 0.00362_wp* (Tin(k)-rtt)**3 |
|---|
| 2096 | !OLI_CODE phi(k) = salin(k)/Sbr ! liquid fraction |
|---|
| 2097 | !OLI_CODE END DO |
|---|
| 2098 | !OLI_CODE |
|---|
| 2099 | !OLI_CODE END IF |
|---|
| 2100 | !OLI_CODE |
|---|
| 2101 | !OLI_CODE !----------------------------------------------------------------- |
|---|
| 2102 | !OLI_CODE ! permeability |
|---|
| 2103 | !OLI_CODE !----------------------------------------------------------------- |
|---|
| 2104 | !OLI_CODE |
|---|
| 2105 | !OLI_CODE perm = 3.0e-08_wp * (minval(phi))**3 |
|---|
| 2106 | !OLI_CODE |
|---|
| 2107 | !OLI_CODE END SUBROUTINE permeability_phi |
|---|
| 2108 | !OLI_CODE |
|---|
| 2109 | !OLI_CODE #else |
|---|
| 2110 | !OLI_CODE !!---------------------------------------------------------------------- |
|---|
| 2111 | !OLI_CODE !! Default option Dummy Module No LIM-3 sea-ice model |
|---|
| 2112 | !OLI_CODE !!---------------------------------------------------------------------- |
|---|
| 2113 | !OLI_CODE CONTAINS |
|---|
| 2114 | !OLI_CODE SUBROUTINE lim_mp_init ! Empty routine |
|---|
| 2115 | !OLI_CODE END SUBROUTINE lim_mp_init |
|---|
| 2116 | !OLI_CODE SUBROUTINE lim_mp ! Empty routine |
|---|
| 2117 | !OLI_CODE END SUBROUTINE lim_mp |
|---|
| 2118 | !OLI_CODE SUBROUTINE compute_mp_topo ! Empty routine |
|---|
| 2119 | !OLI_CODE END SUBROUTINE compute_mp_topo |
|---|
| 2120 | !OLI_CODE SUBROUTINE pond_area ! Empty routine |
|---|
| 2121 | !OLI_CODE END SUBROUTINE pond_area |
|---|
| 2122 | !OLI_CODE SUBROUTINE calc_hpond ! Empty routine |
|---|
| 2123 | !OLI_CODE END SUBROUTINE calc_hpond |
|---|
| 2124 | !OLI_CODE SUBROUTINE permeability_phy ! Empty routine |
|---|
| 2125 | !OLI_CODE END SUBROUTINE permeability_phy |
|---|
| 2126 | !OLI_CODE #endif |
|---|
| 2127 | !OLI_CODE !!====================================================================== |
|---|
| 2128 | !OLI_CODE END MODULE limmp_topo |
|---|
| 2129 | !OLI_CODE |
|---|
| 2130 | #else |
|---|
| 2131 | !!---------------------------------------------------------------------- |
|---|
| 2132 | !! Default option Empty module NO LIM sea-ice model |
|---|
| 2133 | !!---------------------------------------------------------------------- |
|---|
| 2134 | CONTAINS |
|---|
| 2135 | SUBROUTINE lim_mp_init ! Empty routine |
|---|
| 2136 | END SUBROUTINE lim_mp_init |
|---|
| 2137 | SUBROUTINE lim_mp ! Empty routine |
|---|
| 2138 | END SUBROUTINE lim_mp |
|---|
| 2139 | SUBROUTINE lim_mp_topo ! Empty routine |
|---|
| 2140 | END SUBROUTINE lim_mp_topo |
|---|
| 2141 | SUBROUTINE lim_mp_cesm ! Empty routine |
|---|
| 2142 | END SUBROUTINE lim_mp_cesm |
|---|
| 2143 | SUBROUTINE lim_mp_area ! Empty routine |
|---|
| 2144 | END SUBROUTINE lim_mp_area |
|---|
| 2145 | SUBROUTINE lim_mp_perm ! Empty routine |
|---|
| 2146 | END SUBROUTINE lim_mp_perm |
|---|
| 2147 | #endif |
|---|
| 2148 | |
|---|
| 2149 | !!====================================================================== |
|---|
| 2150 | END MODULE limmp |
|---|
