[8984] | 1 | MODULE icethd_zdf_BL99 |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE icethd_zdf_BL99 *** |
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| 4 | !! sea-ice: vertical heat diffusion in sea ice (computation of temperatures) |
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| 5 | !!====================================================================== |
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[9656] | 6 | !! History : ! 2003-02 (M. Vancoppenolle) original 1D code |
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[9604] | 7 | !! ! 2005-06 (M. Vancoppenolle) 3d version |
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| 8 | !! 4.0 ! 2018 (many people) SI3 [aka Sea Ice cube] |
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[8984] | 9 | !!---------------------------------------------------------------------- |
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[9570] | 10 | #if defined key_si3 |
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[8984] | 11 | !!---------------------------------------------------------------------- |
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[9570] | 12 | !! 'key_si3' SI3 sea-ice model |
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[8984] | 13 | !!---------------------------------------------------------------------- |
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| 14 | !! ice_thd_zdf_BL99 : vertical diffusion computation |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | USE dom_oce ! ocean space and time domain |
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| 17 | USE phycst ! physical constants (ocean directory) |
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| 18 | USE ice ! sea-ice: variables |
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| 19 | USE ice1D ! sea-ice: thermodynamics variables |
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| 20 | USE icevar ! sea-ice: operations |
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| 21 | ! |
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| 22 | USE in_out_manager ! I/O manager |
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| 23 | USE lib_mpp ! MPP library |
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| 24 | USE lib_fortran ! fortran utilities (glob_sum + no signed zero) |
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| 25 | |
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| 26 | IMPLICIT NONE |
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| 27 | PRIVATE |
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| 28 | |
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| 29 | PUBLIC ice_thd_zdf_BL99 ! called by icethd_zdf |
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| 30 | |
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| 31 | !!---------------------------------------------------------------------- |
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[9598] | 32 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
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[12371] | 33 | !! $Id: icethd_zdf_bl99.F90 10926 2019-05-03 12:32:10Z clem $ |
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[10068] | 34 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[8984] | 35 | !!---------------------------------------------------------------------- |
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| 36 | CONTAINS |
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| 37 | |
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[10534] | 38 | SUBROUTINE ice_thd_zdf_BL99( k_cnd ) |
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[8984] | 39 | !!------------------------------------------------------------------- |
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| 40 | !! *** ROUTINE ice_thd_zdf_BL99 *** |
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| 41 | !! |
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| 42 | !! ** Purpose : computes the time evolution of snow and sea-ice temperature |
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| 43 | !! profiles, using the original Bitz and Lipscomb (1999) algorithm |
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| 44 | !! |
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| 45 | !! ** Method : solves the heat equation diffusion with a Neumann boundary |
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| 46 | !! condition at the surface and a Dirichlet one at the bottom. |
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| 47 | !! Solar radiation is partially absorbed into the ice. |
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| 48 | !! The specific heat and thermal conductivities depend on ice |
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| 49 | !! salinity and temperature to take into account brine pocket |
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| 50 | !! melting. The numerical scheme is an iterative Crank-Nicolson |
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| 51 | !! on a non-uniform multilayer grid in the ice and snow system. |
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| 52 | !! |
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| 53 | !! The successive steps of this routine are |
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| 54 | !! 1. initialization of ice-snow layers thicknesses |
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| 55 | !! 2. Internal absorbed and transmitted radiation |
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| 56 | !! Then iterative procedure begins |
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| 57 | !! 3. Thermal conductivity |
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| 58 | !! 4. Kappa factors |
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| 59 | !! 5. specific heat in the ice |
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| 60 | !! 6. eta factors |
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| 61 | !! 7. surface flux computation |
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| 62 | !! 8. tridiagonal system terms |
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| 63 | !! 9. solving the tridiagonal system with Gauss elimination |
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| 64 | !! Iterative procedure ends according to a criterion on evolution |
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| 65 | !! of temperature |
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| 66 | !! 10. Fluxes at the interfaces |
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| 67 | !! |
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| 68 | !! ** Inputs / Ouputs : (global commons) |
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| 69 | !! surface temperature : t_su_1d |
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| 70 | !! ice/snow temperatures : t_i_1d, t_s_1d |
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| 71 | !! ice salinities : sz_i_1d |
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| 72 | !! number of layers in the ice/snow : nlay_i, nlay_s |
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| 73 | !! total ice/snow thickness : h_i_1d, h_s_1d |
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| 74 | !!------------------------------------------------------------------- |
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[10534] | 75 | INTEGER, INTENT(in) :: k_cnd ! conduction flux (off, on, emulated) |
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[8984] | 76 | ! |
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| 77 | INTEGER :: ji, jk ! spatial loop index |
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| 78 | INTEGER :: jm ! current reference number of equation |
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| 79 | INTEGER :: jm_mint, jm_maxt |
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| 80 | INTEGER :: iconv ! number of iterations in iterative procedure |
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| 81 | INTEGER :: iconv_max = 50 ! max number of iterations in iterative procedure |
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| 82 | ! |
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| 83 | INTEGER, DIMENSION(jpij) :: jm_min ! reference number of top equation |
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| 84 | INTEGER, DIMENSION(jpij) :: jm_max ! reference number of bottom equation |
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[10425] | 85 | |
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| 86 | LOGICAL, DIMENSION(jpij) :: l_T_converged ! true when T converges (per grid point) |
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| 87 | ! |
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[8984] | 88 | REAL(wp) :: zg1s = 2._wp ! for the tridiagonal system |
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| 89 | REAL(wp) :: zg1 = 2._wp ! |
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| 90 | REAL(wp) :: zgamma = 18009._wp ! for specific heat |
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[12371] | 91 | REAL(wp) :: zbeta = 0.13_wp ! for thermal conductivity (could be 0.13) |
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[8984] | 92 | REAL(wp) :: zraext_s = 10._wp ! extinction coefficient of radiation in the snow |
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| 93 | REAL(wp) :: zkimin = 0.10_wp ! minimum ice thermal conductivity |
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| 94 | REAL(wp) :: ztsu_err = 1.e-5_wp ! range around which t_su is considered at 0C |
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| 95 | REAL(wp) :: zdti_bnd = 1.e-4_wp ! maximal authorized error on temperature |
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[12371] | 96 | REAL(wp) :: zhs_min = 0.1_wp ! minimum snow thickness for conductivity calculation |
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[9935] | 97 | REAL(wp) :: ztmelts ! ice melting temperature |
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[8984] | 98 | REAL(wp) :: zdti_max ! current maximal error on temperature |
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| 99 | REAL(wp) :: zcpi ! Ice specific heat |
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| 100 | REAL(wp) :: zhfx_err, zdq ! diag errors on heat |
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| 101 | REAL(wp) :: zfac ! dummy factor |
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| 102 | ! |
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[12371] | 103 | REAL(wp), DIMENSION(jpij) :: isnow ! fraction of sea ice that is snow covered (for thermodynamic use only) |
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| 104 | LOGICAL, DIMENSION(jpij) :: l_snow ! is snow above the threshold |
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[8984] | 105 | REAL(wp), DIMENSION(jpij) :: ztsub ! surface temperature at previous iteration |
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| 106 | REAL(wp), DIMENSION(jpij) :: zh_i, z1_h_i ! ice layer thickness |
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| 107 | REAL(wp), DIMENSION(jpij) :: zh_s, z1_h_s ! snow layer thickness |
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| 108 | REAL(wp), DIMENSION(jpij) :: zqns_ice_b ! solar radiation absorbed at the surface |
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| 109 | REAL(wp), DIMENSION(jpij) :: zfnet ! surface flux function |
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| 110 | REAL(wp), DIMENSION(jpij) :: zdqns_ice_b ! derivative of the surface flux function |
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| 111 | ! |
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| 112 | REAL(wp), DIMENSION(jpij ) :: ztsuold ! Old surface temperature in the ice |
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| 113 | REAL(wp), DIMENSION(jpij,nlay_i) :: ztiold ! Old temperature in the ice |
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| 114 | REAL(wp), DIMENSION(jpij,nlay_s) :: ztsold ! Old temperature in the snow |
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| 115 | REAL(wp), DIMENSION(jpij,nlay_i) :: ztib ! Temporary temperature in the ice to check the convergence |
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| 116 | REAL(wp), DIMENSION(jpij,nlay_s) :: ztsb ! Temporary temperature in the snow to check the convergence |
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| 117 | REAL(wp), DIMENSION(jpij,0:nlay_i) :: ztcond_i ! Ice thermal conductivity |
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[10425] | 118 | REAL(wp), DIMENSION(jpij,0:nlay_i) :: ztcond_i_cp ! copy |
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[8984] | 119 | REAL(wp), DIMENSION(jpij,0:nlay_i) :: zradtr_i ! Radiation transmitted through the ice |
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| 120 | REAL(wp), DIMENSION(jpij,0:nlay_i) :: zradab_i ! Radiation absorbed in the ice |
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| 121 | REAL(wp), DIMENSION(jpij,0:nlay_i) :: zkappa_i ! Kappa factor in the ice |
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| 122 | REAL(wp), DIMENSION(jpij,0:nlay_i) :: zeta_i ! Eta factor in the ice |
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| 123 | REAL(wp), DIMENSION(jpij,0:nlay_s) :: zradtr_s ! Radiation transmited through the snow |
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| 124 | REAL(wp), DIMENSION(jpij,0:nlay_s) :: zradab_s ! Radiation absorbed in the snow |
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| 125 | REAL(wp), DIMENSION(jpij,0:nlay_s) :: zkappa_s ! Kappa factor in the snow |
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| 126 | REAL(wp), DIMENSION(jpij,0:nlay_s) :: zeta_s ! Eta factor in the snow |
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| 127 | REAL(wp), DIMENSION(jpij,nlay_i+3) :: zindterm ! 'Ind'ependent term |
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| 128 | REAL(wp), DIMENSION(jpij,nlay_i+3) :: zindtbis ! Temporary 'ind'ependent term |
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| 129 | REAL(wp), DIMENSION(jpij,nlay_i+3) :: zdiagbis ! Temporary 'dia'gonal term |
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| 130 | REAL(wp), DIMENSION(jpij,nlay_i+3,3) :: ztrid ! Tridiagonal system terms |
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| 131 | REAL(wp), DIMENSION(jpij) :: zq_ini ! diag errors on heat |
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| 132 | REAL(wp), DIMENSION(jpij) :: zghe ! G(he), th. conduct enhancement factor, mono-cat |
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| 133 | ! |
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| 134 | ! Mono-category |
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| 135 | REAL(wp) :: zepsilon ! determines thres. above which computation of G(h) is done |
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| 136 | REAL(wp) :: zhe ! dummy factor |
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| 137 | REAL(wp) :: zcnd_i ! mean sea ice thermal conductivity |
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| 138 | !!------------------------------------------------------------------ |
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| 139 | |
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| 140 | ! --- diag error on heat diffusion - PART 1 --- ! |
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| 141 | DO ji = 1, npti |
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| 142 | zq_ini(ji) = ( SUM( e_i_1d(ji,1:nlay_i) ) * h_i_1d(ji) * r1_nlay_i + & |
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| 143 | & SUM( e_s_1d(ji,1:nlay_s) ) * h_s_1d(ji) * r1_nlay_s ) |
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| 144 | END DO |
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| 145 | |
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[12369] | 146 | DO ji = 1, npti |
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| 147 | IF (to_print(ji) == 10) THEN |
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| 148 | write(numout,*) 'icethd_zdf_bl99 0: t_i_1d(ji,1), e_i_1d(ji,1) = ',t_i_1d(ji,1), ' ', e_i_1d(ji,1) |
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| 149 | END IF |
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| 150 | END DO |
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| 151 | |
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[8984] | 152 | !------------------ |
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| 153 | ! 1) Initialization |
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| 154 | !------------------ |
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| 155 | DO ji = 1, npti |
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[12371] | 156 | |
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| 157 | ! If the snow thickness drops below zhs_min then reduce the snow fraction instead |
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| 158 | IF( h_s_1d(ji) < zhs_min ) THEN |
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| 159 | ! isnow(ji) = h_s_1d(ji) / zhs_min |
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| 160 | isnow(ji) = 0.0_wp |
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| 161 | zh_s(ji) = zhs_min * r1_nlay_s |
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| 162 | l_snow(ji) = .false. |
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| 163 | ELSE |
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| 164 | isnow(ji) = 1.0_wp |
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| 165 | zh_s(ji) = h_s_1d(ji) * r1_nlay_s |
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| 166 | l_snow(ji) = .true. |
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| 167 | END IF |
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| 168 | |
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[8984] | 169 | ! layer thickness |
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| 170 | zh_i(ji) = h_i_1d(ji) * r1_nlay_i |
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[12371] | 171 | |
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[12369] | 172 | IF( to_print(ji) == 10 ) THEN |
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| 173 | write(numout,*)'icethd_zdf_bl99: v_i_1d(ji), a_i_1d(ji), h_i_1d(ji) = ',v_i_1d(ji), ' ', a_i_1d(ji), ' ', h_i_1d(ji) |
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| 174 | END IF |
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[8984] | 175 | END DO |
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| 176 | ! |
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| 177 | WHERE( zh_i(1:npti) >= epsi10 ) ; z1_h_i(1:npti) = 1._wp / zh_i(1:npti) |
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| 178 | ELSEWHERE ; z1_h_i(1:npti) = 0._wp |
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| 179 | END WHERE |
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| 180 | ! |
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[9423] | 181 | ! |
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| 182 | WHERE( zh_s(1:npti) > 0._wp ) ; z1_h_s(1:npti) = 1._wp / zh_s(1:npti) |
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[8984] | 183 | ELSEWHERE ; z1_h_s(1:npti) = 0._wp |
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| 184 | END WHERE |
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| 185 | ! |
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| 186 | ! Store initial temperatures and non solar heat fluxes |
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[10534] | 187 | IF( k_cnd == np_cnd_OFF .OR. k_cnd == np_cnd_EMU ) THEN |
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[8984] | 188 | ! |
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| 189 | ztsub (1:npti) = t_su_1d(1:npti) ! surface temperature at iteration n-1 |
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| 190 | ztsuold (1:npti) = t_su_1d(1:npti) ! surface temperature initial value |
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| 191 | t_su_1d (1:npti) = MIN( t_su_1d(1:npti), rt0 - ztsu_err ) ! required to leave the choice between melting or not |
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| 192 | zdqns_ice_b(1:npti) = dqns_ice_1d(1:npti) ! derivative of incoming nonsolar flux |
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| 193 | zqns_ice_b (1:npti) = qns_ice_1d(1:npti) ! store previous qns_ice_1d value |
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| 194 | ! |
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| 195 | ENDIF |
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| 196 | ! |
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| 197 | ztsold (1:npti,:) = t_s_1d(1:npti,:) ! Old snow temperature |
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| 198 | ztiold (1:npti,:) = t_i_1d(1:npti,:) ! Old ice temperature |
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| 199 | |
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| 200 | !------------- |
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| 201 | ! 2) Radiation |
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| 202 | !------------- |
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| 203 | ! --- Transmission/absorption of solar radiation in the ice --- ! |
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[9910] | 204 | zradtr_s(1:npti,0) = qtr_ice_top_1d(1:npti) |
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[8984] | 205 | DO jk = 1, nlay_s |
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| 206 | DO ji = 1, npti |
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| 207 | ! ! radiation transmitted below the layer-th snow layer |
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[9423] | 208 | zradtr_s(ji,jk) = zradtr_s(ji,0) * EXP( - zraext_s * h_s_1d(ji) * r1_nlay_s * REAL(jk) ) |
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[8984] | 209 | ! ! radiation absorbed by the layer-th snow layer |
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| 210 | zradab_s(ji,jk) = zradtr_s(ji,jk-1) - zradtr_s(ji,jk) |
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| 211 | END DO |
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| 212 | END DO |
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| 213 | ! |
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[9910] | 214 | zradtr_i(1:npti,0) = zradtr_s(1:npti,nlay_s) * isnow(1:npti) + qtr_ice_top_1d(1:npti) * ( 1._wp - isnow(1:npti) ) |
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[8984] | 215 | DO jk = 1, nlay_i |
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| 216 | DO ji = 1, npti |
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| 217 | ! ! radiation transmitted below the layer-th ice layer |
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| 218 | zradtr_i(ji,jk) = zradtr_i(ji,0) * EXP( - rn_kappa_i * zh_i(ji) * REAL(jk) ) |
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| 219 | ! ! radiation absorbed by the layer-th ice layer |
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| 220 | zradab_i(ji,jk) = zradtr_i(ji,jk-1) - zradtr_i(ji,jk) |
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| 221 | END DO |
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| 222 | END DO |
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| 223 | ! |
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[9910] | 224 | qtr_ice_bot_1d(1:npti) = zradtr_i(1:npti,nlay_i) ! record radiation transmitted below the ice |
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[8984] | 225 | ! |
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| 226 | iconv = 0 ! number of iterations |
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| 227 | ! |
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[10425] | 228 | l_T_converged(:) = .FALSE. |
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| 229 | ! Convergence calculated until all sub-domain grid points have converged |
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| 230 | ! Calculations keep going for all grid points until sub-domain convergence (vectorisation optimisation) |
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| 231 | ! but values are not taken into account (results independant of MPI partitioning) |
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| 232 | ! |
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[11081] | 233 | ! !============================! |
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[10425] | 234 | DO WHILE ( ( .NOT. ALL (l_T_converged(1:npti)) ) .AND. iconv < iconv_max ) ! Iterative procedure begins ! |
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[11081] | 235 | ! !============================! |
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[8984] | 236 | iconv = iconv + 1 |
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| 237 | ! |
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| 238 | ztib(1:npti,:) = t_i_1d(1:npti,:) |
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| 239 | ztsb(1:npti,:) = t_s_1d(1:npti,:) |
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| 240 | ! |
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| 241 | !-------------------------------- |
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| 242 | ! 3) Sea ice thermal conductivity |
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| 243 | !-------------------------------- |
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| 244 | IF( ln_cndi_U64 ) THEN !-- Untersteiner (1964) formula: k = k0 + beta.S/T |
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| 245 | ! |
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| 246 | DO ji = 1, npti |
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[10425] | 247 | ztcond_i_cp(ji,0) = rcnd_i + zbeta * sz_i_1d(ji,1) / MIN( -epsi10, t_i_1d(ji,1) - rt0 ) |
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| 248 | ztcond_i_cp(ji,nlay_i) = rcnd_i + zbeta * sz_i_1d(ji,nlay_i) / MIN( -epsi10, t_bo_1d(ji) - rt0 ) |
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[8984] | 249 | END DO |
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| 250 | DO jk = 1, nlay_i-1 |
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| 251 | DO ji = 1, npti |
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[10425] | 252 | ztcond_i_cp(ji,jk) = rcnd_i + zbeta * 0.5_wp * ( sz_i_1d(ji,jk) + sz_i_1d(ji,jk+1) ) / & |
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| 253 | & MIN( -epsi10, 0.5_wp * (t_i_1d(ji,jk) + t_i_1d(ji,jk+1)) - rt0 ) |
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[8984] | 254 | END DO |
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| 255 | END DO |
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| 256 | ! |
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| 257 | ELSEIF( ln_cndi_P07 ) THEN !-- Pringle et al formula: k = k0 + beta1.S/T - beta2.T |
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| 258 | ! |
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| 259 | DO ji = 1, npti |
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[10425] | 260 | ztcond_i_cp(ji,0) = rcnd_i + 0.09_wp * sz_i_1d(ji,1) / MIN( -epsi10, t_i_1d(ji,1) - rt0 ) & |
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| 261 | & - 0.011_wp * ( t_i_1d(ji,1) - rt0 ) |
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| 262 | ztcond_i_cp(ji,nlay_i) = rcnd_i + 0.09_wp * sz_i_1d(ji,nlay_i) / MIN( -epsi10, t_bo_1d(ji) - rt0 ) & |
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| 263 | & - 0.011_wp * ( t_bo_1d(ji) - rt0 ) |
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[8984] | 264 | END DO |
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| 265 | DO jk = 1, nlay_i-1 |
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| 266 | DO ji = 1, npti |
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[10425] | 267 | ztcond_i_cp(ji,jk) = rcnd_i + 0.09_wp * 0.5_wp * ( sz_i_1d(ji,jk) + sz_i_1d(ji,jk+1) ) / & |
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| 268 | & MIN( -epsi10, 0.5_wp * ( t_i_1d (ji,jk) + t_i_1d (ji,jk+1) ) - rt0 ) & |
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| 269 | & - 0.011_wp * ( 0.5_wp * ( t_i_1d (ji,jk) + t_i_1d (ji,jk+1) ) - rt0 ) |
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[8984] | 270 | END DO |
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| 271 | END DO |
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| 272 | ! |
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| 273 | ENDIF |
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[10425] | 274 | |
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| 275 | ! Variable used after iterations |
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| 276 | ! Value must be frozen after convergence for MPP independance reason |
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| 277 | DO ji = 1, npti |
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| 278 | IF ( .NOT. l_T_converged(ji) ) & |
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[12369] | 279 | ztcond_i(ji,:) = MAX( zkimin, ztcond_i_cp(ji,:) ) |
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| 280 | |
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| 281 | IF (to_print(ji) == 10) THEN |
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| 282 | write(numout,*)'icethd_zdf_bl99: ln_cndi_U64, ln_cndi_P07, rcnd_i = ',ln_cndi_U64, ln_cndi_P07, rcnd_i |
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| 283 | write(numout,*)'icethd_zdf_bl99: sz_i_1d(ji,1), epsi10, t_i_1d(ji,1) = ',sz_i_1d(ji,1), epsi10, t_i_1d(ji,1) |
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| 284 | write(numout,*)'icethd_zdf_bl99: rt0, nlay_i, sz_i_1d(ji,nlay_i), t_bo_1d(ji) = ', rt0, nlay_i, sz_i_1d(ji,nlay_i), t_bo_1d(ji) |
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| 285 | write(numout,*)'icethd_zdf_bl99: sz_i_1d(ji,:) = ',sz_i_1d(ji,:) |
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| 286 | write(numout,*)'icethd_zdf_bl99: t_i_1d(ji,:) = ',t_i_1d(ji,:) |
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| 287 | write(numout,*)'icethd_zdf_bl99: ztcond_i_cp(ji,:) = ',ztcond_i_cp(ji,:) |
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| 288 | write(numout,*)'icethd_zdf_bl99: zkimin = ',zkimin |
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| 289 | write(numout,*)'icethd_zdf_bl99: ztcond_i = ',ztcond_i(ji,:) |
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| 290 | ENDIF |
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[10425] | 291 | END DO |
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[12369] | 292 | |
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| 293 | |
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| 294 | |
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[8984] | 295 | ! |
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| 296 | !--- G(he) : enhancement of thermal conductivity in mono-category case |
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| 297 | ! Computation of effective thermal conductivity G(h) |
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| 298 | ! Used in mono-category case only to simulate an ITD implicitly |
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| 299 | ! Fichefet and Morales Maqueda, JGR 1997 |
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| 300 | zghe(1:npti) = 1._wp |
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| 301 | ! |
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[10531] | 302 | IF( ln_virtual_itd ) THEN |
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[8984] | 303 | ! |
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| 304 | zepsilon = 0.1_wp |
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| 305 | DO ji = 1, npti |
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| 306 | zcnd_i = SUM( ztcond_i(ji,:) ) / REAL( nlay_i+1, wp ) ! Mean sea ice thermal conductivity |
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| 307 | zhe = ( rn_cnd_s * h_i_1d(ji) + zcnd_i * h_s_1d(ji) ) / ( rn_cnd_s + zcnd_i ) ! Effective thickness he (zhe) |
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| 308 | IF( zhe >= zepsilon * 0.5_wp * EXP(1._wp) ) & |
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| 309 | & zghe(ji) = MIN( 2._wp, 0.5_wp * ( 1._wp + LOG( 2._wp * zhe / zepsilon ) ) ) ! G(he) |
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| 310 | END DO |
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| 311 | ! |
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[10531] | 312 | ENDIF |
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[8984] | 313 | ! |
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| 314 | !----------------- |
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| 315 | ! 4) kappa factors |
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| 316 | !----------------- |
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| 317 | !--- Snow |
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[10425] | 318 | ! Variable used after iterations |
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| 319 | ! Value must be frozen after convergence for MPP independance reason |
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[8984] | 320 | DO jk = 0, nlay_s-1 |
---|
| 321 | DO ji = 1, npti |
---|
[10425] | 322 | IF ( .NOT. l_T_converged(ji) ) & |
---|
| 323 | zkappa_s(ji,jk) = zghe(ji) * rn_cnd_s * z1_h_s(ji) |
---|
[12371] | 324 | IF ( .NOT. l_snow(ji) ) zkappa_s(ji,jk) = 0.0_wp |
---|
[8984] | 325 | END DO |
---|
| 326 | END DO |
---|
| 327 | DO ji = 1, npti ! Snow-ice interface |
---|
[10425] | 328 | IF ( .NOT. l_T_converged(ji) ) THEN |
---|
| 329 | zfac = 0.5_wp * ( ztcond_i(ji,0) * zh_s(ji) + rn_cnd_s * zh_i(ji) ) |
---|
| 330 | IF( zfac > epsi10 ) THEN |
---|
| 331 | zkappa_s(ji,nlay_s) = zghe(ji) * rn_cnd_s * ztcond_i(ji,0) / zfac |
---|
| 332 | ELSE |
---|
| 333 | zkappa_s(ji,nlay_s) = 0._wp |
---|
| 334 | ENDIF |
---|
[8984] | 335 | ENDIF |
---|
| 336 | END DO |
---|
| 337 | |
---|
| 338 | !--- Ice |
---|
[10425] | 339 | ! Variable used after iterations |
---|
| 340 | ! Value must be frozen after convergence for MPP independance reason |
---|
[8984] | 341 | DO jk = 0, nlay_i |
---|
| 342 | DO ji = 1, npti |
---|
[10425] | 343 | IF ( .NOT. l_T_converged(ji) ) & |
---|
| 344 | zkappa_i(ji,jk) = zghe(ji) * ztcond_i(ji,jk) * z1_h_i(ji) |
---|
[8984] | 345 | END DO |
---|
| 346 | END DO |
---|
| 347 | DO ji = 1, npti ! Snow-ice interface |
---|
[12369] | 348 | |
---|
| 349 | IF (to_print(ji) == 10) THEN |
---|
| 350 | write(numout,*) 'icethd_zdf_bl99: zkappa_i(ji,0), ztcond_i(ji,0), z1_h_i(ji), isnow(ji) = ',zkappa_i(ji,0), ' ', ztcond_i(ji,0), ' ', z1_h_i(ji), ' ', isnow(ji) |
---|
| 351 | END IF |
---|
[8984] | 352 | END DO |
---|
| 353 | ! |
---|
| 354 | !-------------------------------------- |
---|
| 355 | ! 5) Sea ice specific heat, eta factors |
---|
| 356 | !-------------------------------------- |
---|
| 357 | DO jk = 1, nlay_i |
---|
| 358 | DO ji = 1, npti |
---|
[9935] | 359 | zcpi = rcpi + zgamma * sz_i_1d(ji,jk) / MAX( ( t_i_1d(ji,jk) - rt0 ) * ( ztiold(ji,jk) - rt0 ), epsi10 ) |
---|
| 360 | zeta_i(ji,jk) = rdt_ice * r1_rhoi * z1_h_i(ji) / MAX( epsi10, zcpi ) |
---|
[12369] | 361 | |
---|
| 362 | IF (to_print(ji) == 10 .AND. jk == 1 .AND. cat == 1) THEN |
---|
| 363 | write(numout,*) 'zeta_i(ji,jk), z1_h_i(ji), zcpi = ',zeta_i(ji,jk), ' ', z1_h_i(ji), ' ', zcpi |
---|
| 364 | write(numout,*) 'sz_i_1d(ji,jk), t_i_1d(ji,jk), ztiold(ji,jk) = ',sz_i_1d(ji,jk), ' ', t_i_1d(ji,jk), ' ', ztiold(ji,jk) |
---|
| 365 | write(numout,*) 'iconv, l_T_converged(ji) = ',iconv, ' ',l_T_converged(ji) |
---|
| 366 | END IF |
---|
[8984] | 367 | END DO |
---|
| 368 | END DO |
---|
| 369 | |
---|
| 370 | DO jk = 1, nlay_s |
---|
| 371 | DO ji = 1, npti |
---|
[12371] | 372 | IF (l_snow(ji)) then |
---|
| 373 | zeta_s(ji,jk) = rdt_ice * r1_rhos * r1_rcpi * z1_h_s(ji) |
---|
| 374 | ELSE |
---|
| 375 | zeta_s(ji,jk) = 0.0_wp |
---|
| 376 | END IF |
---|
[8984] | 377 | END DO |
---|
| 378 | END DO |
---|
[12369] | 379 | |
---|
[8984] | 380 | ! |
---|
| 381 | !----------------------------------------! |
---|
| 382 | ! ! |
---|
[10534] | 383 | ! Conduction flux is off or emulated ! |
---|
[8984] | 384 | ! ! |
---|
| 385 | !----------------------------------------! |
---|
| 386 | ! |
---|
[10534] | 387 | IF( k_cnd == np_cnd_OFF .OR. k_cnd == np_cnd_EMU ) THEN |
---|
[8984] | 388 | ! |
---|
| 389 | ! ==> The original BL99 temperature computation is used |
---|
| 390 | ! (with qsr_ice, qns_ice and dqns_ice as inputs) |
---|
| 391 | ! |
---|
| 392 | !---------------------------- |
---|
| 393 | ! 6) surface flux computation |
---|
| 394 | !---------------------------- |
---|
| 395 | ! update of the non solar flux according to the update in T_su |
---|
| 396 | DO ji = 1, npti |
---|
[10425] | 397 | ! Variable used after iterations |
---|
| 398 | ! Value must be frozen after convergence for MPP independance reason |
---|
| 399 | IF ( .NOT. l_T_converged(ji) ) & |
---|
| 400 | qns_ice_1d(ji) = qns_ice_1d(ji) + dqns_ice_1d(ji) * ( t_su_1d(ji) - ztsub(ji) ) |
---|
[8984] | 401 | END DO |
---|
| 402 | |
---|
| 403 | DO ji = 1, npti |
---|
[9910] | 404 | zfnet(ji) = qsr_ice_1d(ji) - qtr_ice_top_1d(ji) + qns_ice_1d(ji) ! net heat flux = net - transmitted solar + non solar |
---|
[8984] | 405 | END DO |
---|
[12369] | 406 | |
---|
| 407 | DO ji = 1, npti |
---|
| 408 | IF (to_print(ji) == 10) THEN |
---|
| 409 | write(numout,*) 'icethd_zdf_bl99 16 iter: t_i_1d(ji,1), e_i_1d(ji,1) = ',t_i_1d(ji,1), ' ', e_i_1d(ji,1) |
---|
| 410 | END IF |
---|
| 411 | END DO |
---|
[8984] | 412 | ! |
---|
| 413 | !---------------------------- |
---|
| 414 | ! 7) tridiagonal system terms |
---|
| 415 | !---------------------------- |
---|
| 416 | ! layer denotes the number of the layer in the snow or in the ice |
---|
| 417 | ! jm denotes the reference number of the equation in the tridiagonal |
---|
| 418 | ! system, terms of tridiagonal system are indexed as following : |
---|
| 419 | ! 1 is subdiagonal term, 2 is diagonal and 3 is superdiagonal one |
---|
| 420 | |
---|
| 421 | ! ice interior terms (top equation has the same form as the others) |
---|
| 422 | ztrid (1:npti,:,:) = 0._wp |
---|
| 423 | zindterm(1:npti,:) = 0._wp |
---|
| 424 | zindtbis(1:npti,:) = 0._wp |
---|
| 425 | zdiagbis(1:npti,:) = 0._wp |
---|
| 426 | |
---|
| 427 | DO jm = nlay_s + 2, nlay_s + nlay_i |
---|
| 428 | DO ji = 1, npti |
---|
| 429 | jk = jm - nlay_s - 1 |
---|
| 430 | ztrid (ji,jm,1) = - zeta_i(ji,jk) * zkappa_i(ji,jk-1) |
---|
| 431 | ztrid (ji,jm,2) = 1._wp + zeta_i(ji,jk) * ( zkappa_i(ji,jk-1) + zkappa_i(ji,jk) ) |
---|
| 432 | ztrid (ji,jm,3) = - zeta_i(ji,jk) * zkappa_i(ji,jk) |
---|
| 433 | zindterm(ji,jm) = ztiold(ji,jk) + zeta_i(ji,jk) * zradab_i(ji,jk) |
---|
| 434 | END DO |
---|
| 435 | END DO |
---|
| 436 | |
---|
| 437 | jm = nlay_s + nlay_i + 1 |
---|
| 438 | DO ji = 1, npti |
---|
| 439 | ! ice bottom term |
---|
| 440 | ztrid (ji,jm,1) = - zeta_i(ji,nlay_i) * zkappa_i(ji,nlay_i-1) |
---|
| 441 | ztrid (ji,jm,2) = 1._wp + zeta_i(ji,nlay_i) * ( zkappa_i(ji,nlay_i-1) + zkappa_i(ji,nlay_i) * zg1 ) |
---|
| 442 | ztrid (ji,jm,3) = 0._wp |
---|
| 443 | zindterm(ji,jm) = ztiold(ji,nlay_i) + zeta_i(ji,nlay_i) * & |
---|
| 444 | & ( zradab_i(ji,nlay_i) + zkappa_i(ji,nlay_i) * zg1 * t_bo_1d(ji) ) |
---|
| 445 | END DO |
---|
| 446 | |
---|
[12369] | 447 | DO ji = 1, npti |
---|
| 448 | IF (to_print(ji) == 10) THEN |
---|
| 449 | write(numout,*) 'icethd_zdf_bl99 17.5 iter: t_i_1d(ji,1), e_i_1d(ji,1) = ',t_i_1d(ji,1), ' ', e_i_1d(ji,1) |
---|
| 450 | END IF |
---|
| 451 | END DO |
---|
| 452 | |
---|
[8984] | 453 | DO ji = 1, npti |
---|
| 454 | ! !---------------------! |
---|
| 455 | IF( h_s_1d(ji) > 0._wp ) THEN ! snow-covered cells ! |
---|
| 456 | ! !---------------------! |
---|
| 457 | ! snow interior terms (bottom equation has the same form as the others) |
---|
| 458 | DO jm = 3, nlay_s + 1 |
---|
| 459 | jk = jm - 1 |
---|
| 460 | ztrid (ji,jm,1) = - zeta_s(ji,jk) * zkappa_s(ji,jk-1) |
---|
| 461 | ztrid (ji,jm,2) = 1._wp + zeta_s(ji,jk) * ( zkappa_s(ji,jk-1) + zkappa_s(ji,jk) ) |
---|
| 462 | ztrid (ji,jm,3) = - zeta_s(ji,jk) * zkappa_s(ji,jk) |
---|
| 463 | zindterm(ji,jm) = ztsold(ji,jk) + zeta_s(ji,jk) * zradab_s(ji,jk) |
---|
| 464 | END DO |
---|
| 465 | |
---|
| 466 | ! case of only one layer in the ice (ice equation is altered) |
---|
| 467 | IF( nlay_i == 1 ) THEN |
---|
| 468 | ztrid (ji,nlay_s+2,3) = 0._wp |
---|
[9068] | 469 | zindterm(ji,nlay_s+2) = zindterm(ji,nlay_s+2) + zeta_i(ji,1) * zkappa_i(ji,1) * t_bo_1d(ji) |
---|
[8984] | 470 | ENDIF |
---|
| 471 | |
---|
| 472 | IF( t_su_1d(ji) < rt0 ) THEN !-- case 1 : no surface melting |
---|
| 473 | |
---|
| 474 | jm_min(ji) = 1 |
---|
| 475 | jm_max(ji) = nlay_i + nlay_s + 1 |
---|
| 476 | |
---|
| 477 | ! surface equation |
---|
| 478 | ztrid (ji,1,1) = 0._wp |
---|
| 479 | ztrid (ji,1,2) = zdqns_ice_b(ji) - zg1s * zkappa_s(ji,0) |
---|
| 480 | ztrid (ji,1,3) = zg1s * zkappa_s(ji,0) |
---|
| 481 | zindterm(ji,1) = zdqns_ice_b(ji) * t_su_1d(ji) - zfnet(ji) |
---|
| 482 | |
---|
| 483 | ! first layer of snow equation |
---|
| 484 | ztrid (ji,2,1) = - zeta_s(ji,1) * zkappa_s(ji,0) * zg1s |
---|
| 485 | ztrid (ji,2,2) = 1._wp + zeta_s(ji,1) * ( zkappa_s(ji,1) + zkappa_s(ji,0) * zg1s ) |
---|
| 486 | ztrid (ji,2,3) = - zeta_s(ji,1) * zkappa_s(ji,1) |
---|
| 487 | zindterm(ji,2) = ztsold(ji,1) + zeta_s(ji,1) * zradab_s(ji,1) |
---|
| 488 | |
---|
| 489 | ELSE !-- case 2 : surface is melting |
---|
| 490 | ! |
---|
| 491 | jm_min(ji) = 2 |
---|
| 492 | jm_max(ji) = nlay_i + nlay_s + 1 |
---|
| 493 | |
---|
| 494 | ! first layer of snow equation |
---|
| 495 | ztrid (ji,2,1) = 0._wp |
---|
| 496 | ztrid (ji,2,2) = 1._wp + zeta_s(ji,1) * ( zkappa_s(ji,1) + zkappa_s(ji,0) * zg1s ) |
---|
| 497 | ztrid (ji,2,3) = - zeta_s(ji,1) * zkappa_s(ji,1) |
---|
| 498 | zindterm(ji,2) = ztsold(ji,1) + zeta_s(ji,1) * ( zradab_s(ji,1) + zkappa_s(ji,0) * zg1s * t_su_1d(ji) ) |
---|
| 499 | ENDIF |
---|
| 500 | ! !---------------------! |
---|
| 501 | ELSE ! cells without snow ! |
---|
| 502 | ! !---------------------! |
---|
| 503 | ! |
---|
| 504 | IF( t_su_1d(ji) < rt0 ) THEN !-- case 1 : no surface melting |
---|
| 505 | ! |
---|
| 506 | jm_min(ji) = nlay_s + 1 |
---|
| 507 | jm_max(ji) = nlay_i + nlay_s + 1 |
---|
| 508 | |
---|
| 509 | ! surface equation |
---|
| 510 | ztrid (ji,jm_min(ji),1) = 0._wp |
---|
| 511 | ztrid (ji,jm_min(ji),2) = zdqns_ice_b(ji) - zkappa_i(ji,0) * zg1 |
---|
| 512 | ztrid (ji,jm_min(ji),3) = zkappa_i(ji,0) * zg1 |
---|
| 513 | zindterm(ji,jm_min(ji)) = zdqns_ice_b(ji) * t_su_1d(ji) - zfnet(ji) |
---|
| 514 | |
---|
| 515 | ! first layer of ice equation |
---|
| 516 | ztrid (ji,jm_min(ji)+1,1) = - zeta_i(ji,1) * zkappa_i(ji,0) * zg1 |
---|
| 517 | ztrid (ji,jm_min(ji)+1,2) = 1._wp + zeta_i(ji,1) * ( zkappa_i(ji,1) + zkappa_i(ji,0) * zg1 ) |
---|
| 518 | ztrid (ji,jm_min(ji)+1,3) = - zeta_i(ji,1) * zkappa_i(ji,1) |
---|
| 519 | zindterm(ji,jm_min(ji)+1) = ztiold(ji,1) + zeta_i(ji,1) * zradab_i(ji,1) |
---|
| 520 | |
---|
| 521 | ! case of only one layer in the ice (surface & ice equations are altered) |
---|
| 522 | IF( nlay_i == 1 ) THEN |
---|
| 523 | ztrid (ji,jm_min(ji),1) = 0._wp |
---|
| 524 | ztrid (ji,jm_min(ji),2) = zdqns_ice_b(ji) - zkappa_i(ji,0) * 2._wp |
---|
| 525 | ztrid (ji,jm_min(ji),3) = zkappa_i(ji,0) * 2._wp |
---|
| 526 | ztrid (ji,jm_min(ji)+1,1) = - zeta_i(ji,1) * zkappa_i(ji,0) * 2._wp |
---|
| 527 | ztrid (ji,jm_min(ji)+1,2) = 1._wp + zeta_i(ji,1) * ( zkappa_i(ji,0) * 2._wp + zkappa_i(ji,1) ) |
---|
| 528 | ztrid (ji,jm_min(ji)+1,3) = 0._wp |
---|
| 529 | zindterm(ji,jm_min(ji)+1) = ztiold(ji,1) + zeta_i(ji,1) * (zradab_i(ji,1) + zkappa_i(ji,1) * t_bo_1d(ji)) |
---|
| 530 | ENDIF |
---|
| 531 | |
---|
| 532 | ELSE !-- case 2 : surface is melting |
---|
| 533 | |
---|
| 534 | jm_min(ji) = nlay_s + 2 |
---|
| 535 | jm_max(ji) = nlay_i + nlay_s + 1 |
---|
| 536 | |
---|
| 537 | ! first layer of ice equation |
---|
| 538 | ztrid (ji,jm_min(ji),1) = 0._wp |
---|
| 539 | ztrid (ji,jm_min(ji),2) = 1._wp + zeta_i(ji,1) * ( zkappa_i(ji,1) + zkappa_i(ji,0) * zg1 ) |
---|
| 540 | ztrid (ji,jm_min(ji),3) = - zeta_i(ji,1) * zkappa_i(ji,1) |
---|
| 541 | zindterm(ji,jm_min(ji)) = ztiold(ji,1) + zeta_i(ji,1) * (zradab_i(ji,1) + zkappa_i(ji,0) * zg1 * t_su_1d(ji)) |
---|
| 542 | |
---|
| 543 | ! case of only one layer in the ice (surface & ice equations are altered) |
---|
| 544 | IF( nlay_i == 1 ) THEN |
---|
| 545 | ztrid (ji,jm_min(ji),1) = 0._wp |
---|
| 546 | ztrid (ji,jm_min(ji),2) = 1._wp + zeta_i(ji,1) * ( zkappa_i(ji,0) * 2._wp + zkappa_i(ji,1) ) |
---|
| 547 | ztrid (ji,jm_min(ji),3) = 0._wp |
---|
| 548 | zindterm(ji,jm_min(ji)) = ztiold(ji,1) + zeta_i(ji,1) * ( zradab_i(ji,1) + zkappa_i(ji,1) * t_bo_1d(ji) ) & |
---|
| 549 | & + t_su_1d(ji) * zeta_i(ji,1) * zkappa_i(ji,0) * 2._wp |
---|
| 550 | ENDIF |
---|
| 551 | |
---|
| 552 | ENDIF |
---|
| 553 | ENDIF |
---|
| 554 | ! |
---|
| 555 | zindtbis(ji,jm_min(ji)) = zindterm(ji,jm_min(ji)) |
---|
| 556 | zdiagbis(ji,jm_min(ji)) = ztrid (ji,jm_min(ji),2) |
---|
| 557 | ! |
---|
| 558 | END DO |
---|
[12369] | 559 | |
---|
| 560 | DO ji = 1, npti |
---|
| 561 | IF (to_print(ji) == 10) THEN |
---|
| 562 | write(numout,*) 'tri diagonal matrix terms zetai = ',zeta_i(ji,:) |
---|
| 563 | END IF |
---|
| 564 | END DO |
---|
[8984] | 565 | ! |
---|
| 566 | !------------------------------ |
---|
| 567 | ! 8) tridiagonal system solving |
---|
| 568 | !------------------------------ |
---|
| 569 | ! Solve the tridiagonal system with Gauss elimination method. |
---|
| 570 | ! Thomas algorithm, from Computational fluid Dynamics, J.D. ANDERSON, McGraw-Hill 1984 |
---|
| 571 | jm_maxt = 0 |
---|
| 572 | jm_mint = nlay_i+5 |
---|
| 573 | DO ji = 1, npti |
---|
| 574 | jm_mint = MIN(jm_min(ji),jm_mint) |
---|
| 575 | jm_maxt = MAX(jm_max(ji),jm_maxt) |
---|
| 576 | END DO |
---|
| 577 | |
---|
| 578 | DO jk = jm_mint+1, jm_maxt |
---|
| 579 | DO ji = 1, npti |
---|
| 580 | jm = MIN(MAX(jm_min(ji)+1,jk),jm_max(ji)) |
---|
| 581 | zdiagbis(ji,jm) = ztrid (ji,jm,2) - ztrid(ji,jm,1) * ztrid (ji,jm-1,3) / zdiagbis(ji,jm-1) |
---|
| 582 | zindtbis(ji,jm) = zindterm(ji,jm ) - ztrid(ji,jm,1) * zindtbis(ji,jm-1 ) / zdiagbis(ji,jm-1) |
---|
| 583 | END DO |
---|
| 584 | END DO |
---|
| 585 | |
---|
| 586 | ! ice temperatures |
---|
| 587 | DO ji = 1, npti |
---|
[10425] | 588 | ! Variable used after iterations |
---|
| 589 | ! Value must be frozen after convergence for MPP independance reason |
---|
| 590 | IF ( .NOT. l_T_converged(ji) ) & |
---|
| 591 | t_i_1d(ji,nlay_i) = zindtbis(ji,jm_max(ji)) / zdiagbis(ji,jm_max(ji)) |
---|
[8984] | 592 | END DO |
---|
| 593 | |
---|
| 594 | DO jm = nlay_i + nlay_s, nlay_s + 2, -1 |
---|
| 595 | DO ji = 1, npti |
---|
| 596 | jk = jm - nlay_s - 1 |
---|
[10425] | 597 | IF ( .NOT. l_T_converged(ji) ) & |
---|
| 598 | t_i_1d(ji,jk) = ( zindtbis(ji,jm) - ztrid(ji,jm,3) * t_i_1d(ji,jk+1) ) / zdiagbis(ji,jm) |
---|
[8984] | 599 | END DO |
---|
| 600 | END DO |
---|
| 601 | |
---|
| 602 | DO ji = 1, npti |
---|
[10425] | 603 | ! Variables used after iterations |
---|
| 604 | ! Value must be frozen after convergence for MPP independance reason |
---|
| 605 | IF ( .NOT. l_T_converged(ji) ) THEN |
---|
| 606 | ! snow temperatures |
---|
| 607 | IF( h_s_1d(ji) > 0._wp ) THEN |
---|
| 608 | t_s_1d(ji,nlay_s) = ( zindtbis(ji,nlay_s+1) - ztrid(ji,nlay_s+1,3) * t_i_1d(ji,1) ) / zdiagbis(ji,nlay_s+1) |
---|
| 609 | ENDIF |
---|
| 610 | ! surface temperature |
---|
| 611 | ztsub(ji) = t_su_1d(ji) |
---|
| 612 | IF( t_su_1d(ji) < rt0 ) THEN |
---|
| 613 | t_su_1d(ji) = ( zindtbis(ji,jm_min(ji)) - ztrid(ji,jm_min(ji),3) * & |
---|
| 614 | & ( isnow(ji) * t_s_1d(ji,1) + ( 1._wp - isnow(ji) ) * t_i_1d(ji,1) ) ) / zdiagbis(ji,jm_min(ji)) |
---|
| 615 | ENDIF |
---|
[8984] | 616 | ENDIF |
---|
[12369] | 617 | |
---|
| 618 | IF (to_print(ji) == 10 ) THEN |
---|
| 619 | write(numout,*)'icethd_zdf_bl99 1: t_s_1d(ji,1), e_s_1d(ji,1) = ',t_s_1d(ji,1), ' ', e_s_1d(ji,1) |
---|
| 620 | write(numout,*)'icethd_zdf_bl99 1: zindtbis(ji,nlay_s+1), ztrid(ji,nlay_s+1,3), t_i_1d(ji,1) = ', zindtbis(ji,nlay_s+1), ' ', ztrid(ji,nlay_s+1,3), ' ', t_i_1d(ji,1) |
---|
| 621 | END IF |
---|
| 622 | |
---|
[8984] | 623 | END DO |
---|
[12369] | 624 | DO ji = 1, npti |
---|
| 625 | IF (to_print(ji) == 10) THEN |
---|
| 626 | write(numout,*) 'icethd_zdf_bl99 18 iter: t_i_1d(ji,1), e_i_1d(ji,1) = ',t_i_1d(ji,1), ' ', e_i_1d(ji,1) |
---|
| 627 | END IF |
---|
| 628 | END DO |
---|
[8984] | 629 | ! |
---|
| 630 | !-------------------------------------------------------------- |
---|
| 631 | ! 9) Has the scheme converged?, end of the iterative procedure |
---|
| 632 | !-------------------------------------------------------------- |
---|
| 633 | ! check that nowhere it has started to melt |
---|
| 634 | ! zdti_max is a measure of error, it has to be under zdti_bnd |
---|
[10425] | 635 | |
---|
[8984] | 636 | DO ji = 1, npti |
---|
| 637 | |
---|
[10425] | 638 | zdti_max = 0._wp |
---|
[8984] | 639 | |
---|
[10425] | 640 | IF ( .NOT. l_T_converged(ji) ) THEN |
---|
| 641 | t_su_1d(ji) = MAX( MIN( t_su_1d(ji) , rt0 ) , rt0 - 100._wp ) |
---|
| 642 | zdti_max = MAX( zdti_max, ABS( t_su_1d(ji) - ztsub(ji) ) ) |
---|
| 643 | |
---|
| 644 | t_s_1d(ji,1:nlay_s) = MAX( MIN( t_s_1d(ji,1:nlay_s), rt0 ), rt0 - 100._wp ) |
---|
| 645 | zdti_max = MAX ( zdti_max , MAXVAL( ABS( t_s_1d(ji,1:nlay_s) - ztsb(ji,1:nlay_s) ) ) ) |
---|
| 646 | |
---|
| 647 | DO jk = 1, nlay_i |
---|
| 648 | ztmelts = -rTmlt * sz_i_1d(ji,jk) + rt0 |
---|
| 649 | t_i_1d(ji,jk) = MAX( MIN( t_i_1d(ji,jk), ztmelts ), rt0 - 100._wp ) |
---|
| 650 | zdti_max = MAX( zdti_max, ABS( t_i_1d(ji,jk) - ztib(ji,jk) ) ) |
---|
| 651 | END DO |
---|
| 652 | |
---|
| 653 | IF ( zdti_max < zdti_bnd ) l_T_converged(ji) = .TRUE. |
---|
| 654 | |
---|
| 655 | ENDIF |
---|
| 656 | |
---|
[8984] | 657 | END DO |
---|
| 658 | |
---|
[12369] | 659 | DO ji = 1, npti |
---|
| 660 | IF (to_print(ji) == 10) THEN |
---|
| 661 | write(numout,*) 'icethd_zdf_bl99 19 iter: t_i_1d(ji,1), e_i_1d(ji,1) = ',t_i_1d(ji,1), ' ', e_i_1d(ji,1) |
---|
| 662 | END IF |
---|
| 663 | END DO |
---|
| 664 | |
---|
[8984] | 665 | !----------------------------------------! |
---|
| 666 | ! ! |
---|
[10534] | 667 | ! Conduction flux is on ! |
---|
[8984] | 668 | ! ! |
---|
| 669 | !----------------------------------------! |
---|
| 670 | ! |
---|
[10534] | 671 | ELSEIF( k_cnd == np_cnd_ON ) THEN |
---|
[8984] | 672 | ! |
---|
| 673 | ! ==> we use a modified BL99 solver with conduction flux (qcn_ice) as forcing term |
---|
[12369] | 674 | DO ji = 1, npti |
---|
| 675 | IF (to_print(ji) == 10) THEN |
---|
| 676 | write(numout,*) 'icethd_zdf_bl99 7.1 iter: t_i_1d(ji,1), e_i_1d(ji,1) = ',t_i_1d(ji,1), ' ', e_i_1d(ji,1) |
---|
| 677 | END IF |
---|
| 678 | END DO |
---|
[8984] | 679 | ! |
---|
| 680 | !---------------------------- |
---|
| 681 | ! 7) tridiagonal system terms |
---|
| 682 | !---------------------------- |
---|
| 683 | ! layer denotes the number of the layer in the snow or in the ice |
---|
| 684 | ! jm denotes the reference number of the equation in the tridiagonal |
---|
| 685 | ! system, terms of tridiagonal system are indexed as following : |
---|
| 686 | ! 1 is subdiagonal term, 2 is diagonal and 3 is superdiagonal one |
---|
| 687 | |
---|
| 688 | ! ice interior terms (top equation has the same form as the others) |
---|
| 689 | ztrid (1:npti,:,:) = 0._wp |
---|
| 690 | zindterm(1:npti,:) = 0._wp |
---|
| 691 | zindtbis(1:npti,:) = 0._wp |
---|
| 692 | zdiagbis(1:npti,:) = 0._wp |
---|
| 693 | |
---|
| 694 | DO jm = nlay_s + 2, nlay_s + nlay_i |
---|
| 695 | DO ji = 1, npti |
---|
| 696 | jk = jm - nlay_s - 1 |
---|
| 697 | ztrid (ji,jm,1) = - zeta_i(ji,jk) * zkappa_i(ji,jk-1) |
---|
| 698 | ztrid (ji,jm,2) = 1._wp + zeta_i(ji,jk) * ( zkappa_i(ji,jk-1) + zkappa_i(ji,jk) ) |
---|
| 699 | ztrid (ji,jm,3) = - zeta_i(ji,jk) * zkappa_i(ji,jk) |
---|
| 700 | zindterm(ji,jm) = ztiold(ji,jk) + zeta_i(ji,jk) * zradab_i(ji,jk) |
---|
| 701 | END DO |
---|
| 702 | ENDDO |
---|
| 703 | |
---|
| 704 | jm = nlay_s + nlay_i + 1 |
---|
| 705 | DO ji = 1, npti |
---|
| 706 | ! ice bottom term |
---|
| 707 | ztrid (ji,jm,1) = - zeta_i(ji,nlay_i) * zkappa_i(ji,nlay_i-1) |
---|
| 708 | ztrid (ji,jm,2) = 1._wp + zeta_i(ji,nlay_i) * ( zkappa_i(ji,nlay_i-1) + zkappa_i(ji,nlay_i) * zg1 ) |
---|
| 709 | ztrid (ji,jm,3) = 0._wp |
---|
| 710 | zindterm(ji,jm) = ztiold(ji,nlay_i) + zeta_i(ji,nlay_i) * & |
---|
| 711 | & ( zradab_i(ji,nlay_i) + zkappa_i(ji,nlay_i) * zg1 * t_bo_1d(ji) ) |
---|
| 712 | ENDDO |
---|
| 713 | |
---|
[12369] | 714 | DO ji = 1, npti |
---|
| 715 | IF (to_print(ji) == 10 .AND. iconv == 1) THEN |
---|
| 716 | jm = nlay_s + nlay_i + 1 |
---|
| 717 | write(numout,*) 'icethd_zdf_bl99: zindterm(ji,jm), ztiold(ji,nlay_i), zeta_i(ji,nlay_i), zradab_i(ji,nlay_i) = ',zindterm(ji,jm), ' ', ztiold(ji,nlay_i), ' ', zeta_i(ji,nlay_i), ' ', zradab_i(ji,nlay_i) |
---|
| 718 | write(numout,*) 'icethd_zdf_bl99: zkappa_i(ji,nlay_i), zg1, t_bo_1d(ji) = ',zkappa_i(ji,nlay_i), ' ', zg1, ' ', t_bo_1d(ji) |
---|
| 719 | END IF |
---|
| 720 | END DO |
---|
| 721 | |
---|
[8984] | 722 | DO ji = 1, npti |
---|
| 723 | ! !---------------------! |
---|
[12371] | 724 | IF( l_snow(ji) ) THEN ! snow-covered cells ! |
---|
[8984] | 725 | ! !---------------------! |
---|
| 726 | ! snow interior terms (bottom equation has the same form as the others) |
---|
| 727 | DO jm = 3, nlay_s + 1 |
---|
| 728 | jk = jm - 1 |
---|
| 729 | ztrid (ji,jm,1) = - zeta_s(ji,jk) * zkappa_s(ji,jk-1) |
---|
| 730 | ztrid (ji,jm,2) = 1._wp + zeta_s(ji,jk) * ( zkappa_s(ji,jk-1) + zkappa_s(ji,jk) ) |
---|
| 731 | ztrid (ji,jm,3) = - zeta_s(ji,jk) * zkappa_s(ji,jk) |
---|
| 732 | zindterm(ji,jm) = ztsold(ji,jk) + zeta_s(ji,jk) * zradab_s(ji,jk) |
---|
| 733 | END DO |
---|
| 734 | |
---|
| 735 | ! case of only one layer in the ice (ice equation is altered) |
---|
| 736 | IF ( nlay_i == 1 ) THEN |
---|
| 737 | ztrid (ji,nlay_s+2,3) = 0._wp |
---|
[9068] | 738 | zindterm(ji,nlay_s+2) = zindterm(ji,nlay_s+2) + zeta_i(ji,1) * zkappa_i(ji,1) * t_bo_1d(ji) |
---|
[8984] | 739 | ENDIF |
---|
| 740 | |
---|
| 741 | jm_min(ji) = 2 |
---|
| 742 | jm_max(ji) = nlay_i + nlay_s + 1 |
---|
| 743 | |
---|
| 744 | ! first layer of snow equation |
---|
| 745 | ztrid (ji,2,1) = 0._wp |
---|
| 746 | ztrid (ji,2,2) = 1._wp + zeta_s(ji,1) * zkappa_s(ji,1) |
---|
| 747 | ztrid (ji,2,3) = - zeta_s(ji,1) * zkappa_s(ji,1) |
---|
| 748 | zindterm(ji,2) = ztsold(ji,1) + zeta_s(ji,1) * ( zradab_s(ji,1) + qcn_ice_1d(ji) ) |
---|
[12369] | 749 | |
---|
| 750 | IF (to_print(ji) == 10) THEN |
---|
| 751 | write(numout,*) 'ztrid for snow = ',ztrid (ji,2,:) |
---|
| 752 | write(numout,*) 'zindterm for snow = ',zindterm(ji,2) |
---|
| 753 | write(numout,*) 'zindterm using degC = ',zindterm(ji,2) - rt0 |
---|
| 754 | write(numout,*) 'nlay_s, nlay_i = ',nlay_s, ' ', nlay_i |
---|
| 755 | ENDIF |
---|
| 756 | |
---|
[8984] | 757 | |
---|
| 758 | ! !---------------------! |
---|
| 759 | ELSE ! cells without snow ! |
---|
| 760 | ! !---------------------! |
---|
| 761 | jm_min(ji) = nlay_s + 2 |
---|
| 762 | jm_max(ji) = nlay_i + nlay_s + 1 |
---|
| 763 | |
---|
| 764 | ! first layer of ice equation |
---|
| 765 | ztrid (ji,jm_min(ji),1) = 0._wp |
---|
| 766 | ztrid (ji,jm_min(ji),2) = 1._wp + zeta_i(ji,1) * zkappa_i(ji,1) |
---|
| 767 | ztrid (ji,jm_min(ji),3) = - zeta_i(ji,1) * zkappa_i(ji,1) |
---|
| 768 | zindterm(ji,jm_min(ji)) = ztiold(ji,1) + zeta_i(ji,1) * ( zradab_i(ji,1) + qcn_ice_1d(ji) ) |
---|
[12369] | 769 | |
---|
| 770 | IF (to_print(ji) == 10 .AND. iconv == 1) THEN |
---|
| 771 | write(numout,*) 'zeta_i(ji,1), zkappa_i(ji,1), ztiold(ji,1), qcn_ice_1d(ji) = ',zeta_i(ji,1), ' ', zkappa_i(ji,1), ' ', ztiold(ji,1), ' ', qcn_ice_1d(ji) |
---|
| 772 | ENDIF |
---|
[8984] | 773 | |
---|
| 774 | ! case of only one layer in the ice (surface & ice equations are altered) |
---|
| 775 | IF( nlay_i == 1 ) THEN |
---|
| 776 | ztrid (ji,jm_min(ji),1) = 0._wp |
---|
| 777 | ztrid (ji,jm_min(ji),2) = 1._wp + zeta_i(ji,1) * zkappa_i(ji,1) |
---|
| 778 | ztrid (ji,jm_min(ji),3) = 0._wp |
---|
| 779 | zindterm(ji,jm_min(ji)) = ztiold(ji,1) + zeta_i(ji,1) * & |
---|
| 780 | & ( zradab_i(ji,1) + zkappa_i(ji,1) * t_bo_1d(ji) + qcn_ice_1d(ji) ) |
---|
| 781 | ENDIF |
---|
| 782 | |
---|
| 783 | ENDIF |
---|
| 784 | ! |
---|
| 785 | zindtbis(ji,jm_min(ji)) = zindterm(ji,jm_min(ji)) |
---|
| 786 | zdiagbis(ji,jm_min(ji)) = ztrid (ji,jm_min(ji),2) |
---|
| 787 | ! |
---|
| 788 | END DO |
---|
| 789 | ! |
---|
| 790 | !------------------------------ |
---|
| 791 | ! 8) tridiagonal system solving |
---|
| 792 | !------------------------------ |
---|
| 793 | ! Solve the tridiagonal system with Gauss elimination method. |
---|
| 794 | ! Thomas algorithm, from Computational fluid Dynamics, J.D. ANDERSON, McGraw-Hill 1984 |
---|
| 795 | jm_maxt = 0 |
---|
| 796 | jm_mint = nlay_i+5 |
---|
| 797 | DO ji = 1, npti |
---|
| 798 | jm_mint = MIN(jm_min(ji),jm_mint) |
---|
| 799 | jm_maxt = MAX(jm_max(ji),jm_maxt) |
---|
| 800 | END DO |
---|
| 801 | |
---|
| 802 | DO jk = jm_mint+1, jm_maxt |
---|
| 803 | DO ji = 1, npti |
---|
| 804 | jm = MIN(MAX(jm_min(ji)+1,jk),jm_max(ji)) |
---|
| 805 | zdiagbis(ji,jm) = ztrid (ji,jm,2) - ztrid(ji,jm,1) * ztrid (ji,jm-1,3) / zdiagbis(ji,jm-1) |
---|
| 806 | zindtbis(ji,jm) = zindterm(ji,jm) - ztrid(ji,jm,1) * zindtbis(ji,jm-1) / zdiagbis(ji,jm-1) |
---|
| 807 | END DO |
---|
| 808 | END DO |
---|
| 809 | |
---|
| 810 | ! ice temperatures |
---|
[10425] | 811 | DO ji = 1, npti |
---|
| 812 | ! Variable used after iterations |
---|
| 813 | ! Value must be frozen after convergence for MPP independance reason |
---|
| 814 | IF ( .NOT. l_T_converged(ji) ) & |
---|
| 815 | t_i_1d(ji,nlay_i) = zindtbis(ji,jm_max(ji)) / zdiagbis(ji,jm_max(ji)) |
---|
[8984] | 816 | END DO |
---|
| 817 | |
---|
| 818 | DO jm = nlay_i + nlay_s, nlay_s + 2, -1 |
---|
| 819 | DO ji = 1, npti |
---|
[10425] | 820 | IF ( .NOT. l_T_converged(ji) ) THEN |
---|
| 821 | jk = jm - nlay_s - 1 |
---|
| 822 | t_i_1d(ji,jk) = ( zindtbis(ji,jm) - ztrid(ji,jm,3) * t_i_1d(ji,jk+1) ) / zdiagbis(ji,jm) |
---|
| 823 | ENDIF |
---|
[8984] | 824 | END DO |
---|
| 825 | END DO |
---|
| 826 | |
---|
| 827 | ! snow temperatures |
---|
| 828 | DO ji = 1, npti |
---|
[10425] | 829 | ! Variable used after iterations |
---|
| 830 | ! Value must be frozen after convergence for MPP independance reason |
---|
| 831 | IF ( .NOT. l_T_converged(ji) ) THEN |
---|
| 832 | IF( h_s_1d(ji) > 0._wp ) THEN |
---|
| 833 | t_s_1d(ji,nlay_s) = ( zindtbis(ji,nlay_s+1) - ztrid(ji,nlay_s+1,3) * t_i_1d(ji,1) ) / zdiagbis(ji,nlay_s+1) |
---|
| 834 | ENDIF |
---|
[8984] | 835 | ENDIF |
---|
[12369] | 836 | |
---|
| 837 | IF (to_print(ji) == 10) THEN |
---|
| 838 | write(numout,*)'icethd_zdf_bl99 2: t_s_1d(ji,1), e_s_1d(ji,1) = ',t_s_1d(ji,1), ' ', e_s_1d(ji,1) |
---|
| 839 | write(numout,*)'icethd_zdf_bl99 2: zindtbis(ji,nlay_s+1), ztrid(ji,nlay_s+1,3), t_i_1d(ji,1) = ', zindtbis(ji,nlay_s+1), ' ', ztrid(ji,nlay_s+1,3), ' ', t_i_1d(ji,1) |
---|
| 840 | END IF |
---|
[8984] | 841 | END DO |
---|
[12369] | 842 | DO ji = 1, npti |
---|
| 843 | IF (to_print(ji) == 10) THEN |
---|
| 844 | write(numout,*) 'icethd_zdf_bl99 8 iter: t_i_1d(ji,1), e_i_1d(ji,1) = ',t_i_1d(ji,1), ' ', e_i_1d(ji,1) |
---|
| 845 | END IF |
---|
| 846 | END DO |
---|
[8984] | 847 | ! |
---|
| 848 | !-------------------------------------------------------------- |
---|
| 849 | ! 9) Has the scheme converged?, end of the iterative procedure |
---|
| 850 | !-------------------------------------------------------------- |
---|
| 851 | ! check that nowhere it has started to melt |
---|
| 852 | ! zdti_max is a measure of error, it has to be under zdti_bnd |
---|
| 853 | |
---|
[10425] | 854 | DO ji = 1, npti |
---|
| 855 | |
---|
| 856 | zdti_max = 0._wp |
---|
| 857 | |
---|
| 858 | IF ( .NOT. l_T_converged(ji) ) THEN |
---|
| 859 | ! t_s |
---|
| 860 | t_s_1d(ji,1:nlay_s) = MAX( MIN( t_s_1d(ji,1:nlay_s), rt0 ), rt0 - 100._wp ) |
---|
| 861 | zdti_max = MAX ( zdti_max , MAXVAL( ABS( t_s_1d(ji,1:nlay_s) - ztsb(ji,1:nlay_s) ) ) ) |
---|
| 862 | ! t_i |
---|
[11081] | 863 | DO jk = 1, nlay_i |
---|
[10425] | 864 | ztmelts = -rTmlt * sz_i_1d(ji,jk) + rt0 |
---|
| 865 | t_i_1d(ji,jk) = MAX( MIN( t_i_1d(ji,jk), ztmelts ), rt0 - 100._wp ) |
---|
| 866 | zdti_max = MAX ( zdti_max, ABS( t_i_1d(ji,jk) - ztib(ji,jk) ) ) |
---|
| 867 | END DO |
---|
| 868 | |
---|
| 869 | IF ( zdti_max < zdti_bnd ) l_T_converged(ji) = .TRUE. |
---|
| 870 | |
---|
| 871 | ENDIF |
---|
| 872 | |
---|
[8984] | 873 | END DO |
---|
| 874 | |
---|
[10534] | 875 | ENDIF ! k_cnd |
---|
[12369] | 876 | |
---|
| 877 | DO ji = 1, npti |
---|
| 878 | IF (iconv == 1 .AND. to_print(ji) == 10) THEN |
---|
| 879 | write(numout,*) 'matrix1 befroe diagonal = ',ztrid(ji,1,1),' ',ztrid(ji,2,1),' ',ztrid(ji,3,1),' ',ztrid(ji,4,1),' ',ztrid(ji,5,1),' ',ztrid(ji,6,1) |
---|
| 880 | write(numout,*) 'matrix1 on diagonal = ',ztrid(ji,1,2),' ',ztrid(ji,2,2),' ',ztrid(ji,3,2),' ',ztrid(ji,4,2),' ',ztrid(ji,5,2),' ',ztrid(ji,6,2) |
---|
| 881 | write(numout,*) 'matrix1 after diagonal = ',ztrid(ji,1,3),' ',ztrid(ji,2,3),' ',ztrid(ji,3,3),' ',ztrid(ji,4,3),' ',ztrid(ji,5,3),' ',ztrid(ji,6,3) |
---|
| 882 | write(numout,*) 'rhs1 for all = ',zindterm(ji,1),' ',zindterm(ji,2),' ',zindterm(ji,3),' ',zindterm(ji,4),' ',zindterm(ji,5),' ',zindterm(ji,6) |
---|
| 883 | write(numout,*) 'rhs1 using degC = ',zindterm(ji,1)-rt0,' ',zindterm(ji,2)-rt0,' ',zindterm(ji,3)-rt0,' ',zindterm(ji,4)-rt0,' ',zindterm(ji,5)-rt0,' ',zindterm(ji,6)-rt0 |
---|
| 884 | END IF |
---|
| 885 | END DO |
---|
[8984] | 886 | |
---|
| 887 | END DO ! End of the do while iterative procedure |
---|
[12369] | 888 | |
---|
| 889 | DO ji = 1, npti |
---|
| 890 | IF (to_print(ji) == 10) THEN |
---|
| 891 | write(numout,*) 'matrix2 befroe diagonal = ',ztrid(ji,1,1),' ',ztrid(ji,2,1),' ',ztrid(ji,3,1),' ',ztrid(ji,4,1),' ',ztrid(ji,5,1),' ',ztrid(ji,6,1) |
---|
| 892 | write(numout,*) 'matrix2 on diagonal = ',ztrid(ji,1,2),' ',ztrid(ji,2,2),' ',ztrid(ji,3,2),' ',ztrid(ji,4,2),' ',ztrid(ji,5,2),' ',ztrid(ji,6,2) |
---|
| 893 | write(numout,*) 'matrix2 after diagonal = ',ztrid(ji,1,3),' ',ztrid(ji,2,3),' ',ztrid(ji,3,3),' ',ztrid(ji,4,3),' ',ztrid(ji,5,3),' ',ztrid(ji,6,3) |
---|
| 894 | write(numout,*) 'rhs2 for all = ',zindterm(ji,1),' ',zindterm(ji,2),' ',zindterm(ji,3),' ',zindterm(ji,4),' ',zindterm(ji,5),' ',zindterm(ji,6) |
---|
| 895 | write(numout,*) 'rhs2 using degC = ',zindterm(ji,1)-rt0,' ',zindterm(ji,2)-rt0,' ',zindterm(ji,3)-rt0,' ',zindterm(ji,4)-rt0,' ',zindterm(ji,5)-rt0,' ',zindterm(ji,6)-rt0 |
---|
| 896 | write(numout,*) 'number of iterations iconv = ',iconv |
---|
| 897 | END IF |
---|
| 898 | END DO |
---|
| 899 | |
---|
[8984] | 900 | |
---|
| 901 | IF( ln_icectl .AND. lwp ) THEN |
---|
| 902 | WRITE(numout,*) ' zdti_max : ', zdti_max |
---|
| 903 | WRITE(numout,*) ' iconv : ', iconv |
---|
| 904 | ENDIF |
---|
| 905 | |
---|
| 906 | ! |
---|
| 907 | !----------------------------- |
---|
| 908 | ! 10) Fluxes at the interfaces |
---|
| 909 | !----------------------------- |
---|
| 910 | ! |
---|
[9916] | 911 | ! --- calculate conduction fluxes (positive downward) |
---|
[12371] | 912 | ! bottom ice conduction flux |
---|
| 913 | DO ji = 1, npti |
---|
| 914 | qcn_ice_bot_1d(ji) = - zkappa_i(ji,nlay_i) * zg1 * ( t_bo_1d(ji ) - t_i_1d (ji,nlay_i) ) |
---|
[9916] | 915 | |
---|
[12371] | 916 | IF (to_print(ji) == 1) THEN |
---|
| 917 | write(numout,*) 'icethd_zdf_bl99: qcn_ice_bot_1d(ji), zkappa_i(ji,nlay_i), zg1, t_bo_1d(ji ), t_i_1d (ji,nlay_i) = ',qcn_ice_bot_1d(ji), zkappa_i(ji,nlay_i), zg1, t_bo_1d(ji ), t_i_1d (ji,nlay_i) |
---|
| 918 | ENDIF |
---|
[8984] | 919 | END DO |
---|
[12371] | 920 | ! surface ice conduction flux |
---|
[10534] | 921 | IF( k_cnd == np_cnd_OFF .OR. k_cnd == np_cnd_EMU ) THEN |
---|
[8984] | 922 | ! |
---|
| 923 | DO ji = 1, npti |
---|
[12371] | 924 | qcn_ice_top_1d(ji) = - isnow(ji) * zkappa_s(ji,0) * zg1s * ( t_s_1d(ji,1) - t_su_1d(ji) ) & |
---|
| 925 | & - ( 1._wp - isnow(ji) ) * zkappa_i(ji,0) * zg1 * ( t_i_1d(ji,1) - t_su_1d(ji) ) |
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[8984] | 926 | END DO |
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| 927 | ! |
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[10534] | 928 | ELSEIF( k_cnd == np_cnd_ON ) THEN |
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[8984] | 929 | ! |
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| 930 | DO ji = 1, npti |
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[12371] | 931 | qcn_ice_top_1d(ji) = qcn_ice_1d(ji) |
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[12374] | 932 | END DO |
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| 933 | ! |
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| 934 | ENDIF |
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| 935 | ! surface ice temperature |
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| 936 | IF( k_cnd == np_cnd_ON .AND. ln_cndemulate ) THEN |
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| 937 | ! |
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| 938 | DO ji = 1, npti |
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[12371] | 939 | t_su_1d(ji) = ( qcn_ice_top_1d(ji) & ! calculate surface temperature |
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| 940 | & + isnow(ji) * zkappa_s(ji,0) * zg1s * t_s_1d(ji,1) & |
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| 941 | & + ( 1._wp - isnow(ji) ) * zkappa_i(ji,0) * zg1 * t_i_1d(ji,1) & |
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| 942 | & ) / MAX( epsi10, isnow(ji) * zkappa_s(ji,0) * zg1s + ( 1._wp - isnow(ji) ) * zkappa_i(ji,0) * zg1 ) |
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| 943 | t_su_1d(ji) = MAX( MIN( t_su_1d(ji), rt0 ), rt0 - 100._wp ) ! cap t_su |
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[8984] | 944 | END DO |
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| 945 | ! |
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| 946 | ENDIF |
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[12371] | 947 | ! |
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| 948 | ! --- Diagnose the heat loss due to changing non-solar / conduction flux --- ! |
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| 949 | ! |
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| 950 | IF( k_cnd == np_cnd_OFF .OR. k_cnd == np_cnd_EMU ) THEN |
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| 951 | ! |
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| 952 | DO ji = 1, npti |
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| 953 | hfx_err_dif_1d(ji) = hfx_err_dif_1d(ji) - ( qns_ice_1d(ji) - zqns_ice_b(ji) ) * a_i_1d(ji) |
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| 954 | END DO |
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| 955 | ! |
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| 956 | ENDIF |
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[8984] | 957 | |
---|
| 958 | ! |
---|
| 959 | ! --- Diagnose the heat loss due to non-fully converged temperature solution (should not be above 10-4 W-m2) --- ! |
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| 960 | ! |
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[10534] | 961 | IF( k_cnd == np_cnd_OFF .OR. k_cnd == np_cnd_ON ) THEN |
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[12369] | 962 | |
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| 963 | DO ji = 1, npti |
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| 964 | IF (to_print(ji) == 10) THEN |
---|
| 965 | write(numout,*) 'before ice_var_enthalpy: t_i_1d(ji,1), e_i_1d(ji,1) = ',t_i_1d(ji,1), ' ', e_i_1d(ji,1) |
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| 966 | END IF |
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| 967 | END DO |
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[8984] | 968 | |
---|
[12369] | 969 | CALL ice_var_enthalpy |
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| 970 | |
---|
| 971 | DO ji = 1, npti |
---|
| 972 | IF (to_print(ji) == 10) THEN |
---|
| 973 | write(numout,*) 'after ice_var_enthalpy: t_i_1d(ji,1), e_i_1d(ji,1) = ',t_i_1d(ji,1), ' ', e_i_1d(ji,1) |
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| 974 | END IF |
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| 975 | END DO |
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[8984] | 976 | |
---|
| 977 | ! zhfx_err = correction on the diagnosed heat flux due to non-convergence of the algorithm used to solve heat equation |
---|
| 978 | DO ji = 1, npti |
---|
| 979 | zdq = - zq_ini(ji) + ( SUM( e_i_1d(ji,1:nlay_i) ) * h_i_1d(ji) * r1_nlay_i + & |
---|
| 980 | & SUM( e_s_1d(ji,1:nlay_s) ) * h_s_1d(ji) * r1_nlay_s ) |
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| 981 | |
---|
[10534] | 982 | IF( k_cnd == np_cnd_OFF ) THEN |
---|
[8984] | 983 | |
---|
| 984 | IF( t_su_1d(ji) < rt0 ) THEN ! case T_su < 0degC |
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[9916] | 985 | zhfx_err = ( qns_ice_1d(ji) + qsr_ice_1d(ji) - zradtr_i(ji,nlay_i) - qcn_ice_bot_1d(ji) & |
---|
| 986 | & + zdq * r1_rdtice ) * a_i_1d(ji) |
---|
[8984] | 987 | ELSE ! case T_su = 0degC |
---|
[9916] | 988 | zhfx_err = ( qcn_ice_top_1d(ji) + qtr_ice_top_1d(ji) - zradtr_i(ji,nlay_i) - qcn_ice_bot_1d(ji) & |
---|
| 989 | & + zdq * r1_rdtice ) * a_i_1d(ji) |
---|
[8984] | 990 | ENDIF |
---|
| 991 | |
---|
[10534] | 992 | ELSEIF( k_cnd == np_cnd_ON ) THEN |
---|
[8984] | 993 | |
---|
[9916] | 994 | zhfx_err = ( qcn_ice_top_1d(ji) + qtr_ice_top_1d(ji) - zradtr_i(ji,nlay_i) - qcn_ice_bot_1d(ji) & |
---|
| 995 | & + zdq * r1_rdtice ) * a_i_1d(ji) |
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[8984] | 996 | |
---|
| 997 | ENDIF |
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| 998 | ! |
---|
| 999 | ! total heat sink to be sent to the ocean |
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| 1000 | hfx_err_dif_1d(ji) = hfx_err_dif_1d(ji) + zhfx_err |
---|
| 1001 | ! |
---|
| 1002 | ! hfx_dif = Heat flux diagnostic of sensible heat used to warm/cool ice in W.m-2 |
---|
| 1003 | hfx_dif_1d(ji) = hfx_dif_1d(ji) - zdq * r1_rdtice * a_i_1d(ji) |
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[12369] | 1004 | |
---|
| 1005 | IF (to_print(ji) == 10) THEN |
---|
| 1006 | write(numout,*)'icethd_zdf_bl99: qcn_ice_top_1d(ji) = ',qcn_ice_top_1d(ji) |
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| 1007 | write(numout,*)'icethd_zdf_bl99: qcn_ice_1d(ji) = ',qcn_ice_1d(ji) |
---|
| 1008 | write(numout,*)'icethd_zdf_bl99: hfx_err_dif_1d(ji) = ', hfx_err_dif_1d(ji) |
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| 1009 | write(numout,*)'icethd_zdf_bl99: hfx_dif_1d(ji) = ',hfx_dif_1d(ji) |
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| 1010 | ENDIF |
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| 1011 | |
---|
[8984] | 1012 | ! |
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| 1013 | END DO |
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| 1014 | ! |
---|
| 1015 | ENDIF |
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| 1016 | ! |
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[10534] | 1017 | !-------------------------------------------------------------------- |
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| 1018 | ! 11) reset inner snow and ice temperatures, update conduction fluxes |
---|
| 1019 | !-------------------------------------------------------------------- |
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[8984] | 1020 | ! effective conductivity and 1st layer temperature (needed by Met Office) |
---|
| 1021 | DO ji = 1, npti |
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[12371] | 1022 | IF( h_i_1d(ji) > 0.1_wp ) THEN |
---|
| 1023 | cnd_ice_1d(ji) = 2._wp * zkappa_i(ji,0) |
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[8984] | 1024 | ELSE |
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[12371] | 1025 | cnd_ice_1d(ji) = 2._wp * ztcond_i(ji,0) * 10._wp |
---|
[8984] | 1026 | ENDIF |
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| 1027 | t1_ice_1d(ji) = isnow(ji) * t_s_1d(ji,1) + ( 1._wp - isnow(ji) ) * t_i_1d(ji,1) |
---|
[12369] | 1028 | |
---|
| 1029 | IF (to_print(ji) == 10) THEN |
---|
| 1030 | write(numout,*)'icethd_zdf_bl99: cnd_ice_1d(ji), h_s_1d(ji), zkappa_s(ji,0) = ',cnd_ice_1d(ji), ' ', h_s_1d(ji), ' ', zkappa_s(ji,0) |
---|
| 1031 | write(numout,*)'icethd_zdf_bl99: ztcond_i(ji,0), h_i_1d(ji), zkappa_i(ji,0) = ',ztcond_i(ji,0), ' ', h_i_1d(ji), ' ', zkappa_i(ji,0) |
---|
| 1032 | write(numout,*)'icethd_zdf_bl99: t1_ice_1d(ji), isnow(ji), t_s_1d(ji,1), t_i_1d(ji,1) = ',t1_ice_1d(ji), ' ', isnow(ji), ' ', t_s_1d(ji,1), ' ', t_i_1d(ji,1) |
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| 1033 | ENDIF |
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[8984] | 1034 | END DO |
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| 1035 | ! |
---|
[10534] | 1036 | IF( k_cnd == np_cnd_EMU ) THEN |
---|
[8984] | 1037 | ! Restore temperatures to their initial values |
---|
[9916] | 1038 | t_s_1d (1:npti,:) = ztsold (1:npti,:) |
---|
| 1039 | t_i_1d (1:npti,:) = ztiold (1:npti,:) |
---|
| 1040 | qcn_ice_1d(1:npti) = qcn_ice_top_1d(1:npti) |
---|
[11081] | 1041 | |
---|
| 1042 | !!clem |
---|
| 1043 | ! remettre t_su_1d, qns_ice_1d et dqns_ice_1d comme avant puisqu'on devrait faire comme si on avant conduction = input |
---|
| 1044 | !clem |
---|
[8984] | 1045 | ENDIF |
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| 1046 | ! |
---|
[9916] | 1047 | ! --- SIMIP diagnostics |
---|
| 1048 | ! |
---|
| 1049 | DO ji = 1, npti |
---|
| 1050 | !--- Snow-ice interfacial temperature (diagnostic SIMIP) |
---|
| 1051 | zfac = rn_cnd_s * zh_i(ji) + ztcond_i(ji,1) * zh_s(ji) |
---|
| 1052 | IF( h_s_1d(ji) >= zhs_min ) THEN |
---|
| 1053 | t_si_1d(ji) = ( rn_cnd_s * zh_i(ji) * t_s_1d(ji,1) + & |
---|
| 1054 | & ztcond_i(ji,1) * zh_s(ji) * t_i_1d(ji,1) ) / MAX( epsi10, zfac ) |
---|
| 1055 | ELSE |
---|
| 1056 | t_si_1d(ji) = t_su_1d(ji) |
---|
| 1057 | ENDIF |
---|
| 1058 | END DO |
---|
| 1059 | ! |
---|
[8984] | 1060 | END SUBROUTINE ice_thd_zdf_BL99 |
---|
| 1061 | |
---|
| 1062 | #else |
---|
| 1063 | !!---------------------------------------------------------------------- |
---|
[9570] | 1064 | !! Default option Dummy Module No SI3 sea-ice model |
---|
[8984] | 1065 | !!---------------------------------------------------------------------- |
---|
| 1066 | #endif |
---|
| 1067 | |
---|
| 1068 | !!====================================================================== |
---|
| 1069 | END MODULE icethd_zdf_BL99 |
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