[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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[8984] | 104 | REAL(wp), DIMENSION(jpij) :: ztsub ! surface temperature at previous iteration |
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| 105 | REAL(wp), DIMENSION(jpij) :: zh_i, z1_h_i ! ice layer thickness |
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| 106 | REAL(wp), DIMENSION(jpij) :: zh_s, z1_h_s ! snow layer thickness |
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| 107 | REAL(wp), DIMENSION(jpij) :: zqns_ice_b ! solar radiation absorbed at the surface |
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| 108 | REAL(wp), DIMENSION(jpij) :: zfnet ! surface flux function |
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| 109 | REAL(wp), DIMENSION(jpij) :: zdqns_ice_b ! derivative of the surface flux function |
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| 110 | ! |
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| 111 | REAL(wp), DIMENSION(jpij ) :: ztsuold ! Old surface temperature in the ice |
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| 112 | REAL(wp), DIMENSION(jpij,nlay_i) :: ztiold ! Old temperature in the ice |
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| 113 | REAL(wp), DIMENSION(jpij,nlay_s) :: ztsold ! Old temperature in the snow |
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| 114 | REAL(wp), DIMENSION(jpij,nlay_i) :: ztib ! Temporary temperature in the ice to check the convergence |
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| 115 | REAL(wp), DIMENSION(jpij,nlay_s) :: ztsb ! Temporary temperature in the snow to check the convergence |
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| 116 | REAL(wp), DIMENSION(jpij,0:nlay_i) :: ztcond_i ! Ice thermal conductivity |
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[10425] | 117 | REAL(wp), DIMENSION(jpij,0:nlay_i) :: ztcond_i_cp ! copy |
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[8984] | 118 | REAL(wp), DIMENSION(jpij,0:nlay_i) :: zradtr_i ! Radiation transmitted through the ice |
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| 119 | REAL(wp), DIMENSION(jpij,0:nlay_i) :: zradab_i ! Radiation absorbed in the ice |
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| 120 | REAL(wp), DIMENSION(jpij,0:nlay_i) :: zkappa_i ! Kappa factor in the ice |
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| 121 | REAL(wp), DIMENSION(jpij,0:nlay_i) :: zeta_i ! Eta factor in the ice |
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| 122 | REAL(wp), DIMENSION(jpij,0:nlay_s) :: zradtr_s ! Radiation transmited through the snow |
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| 123 | REAL(wp), DIMENSION(jpij,0:nlay_s) :: zradab_s ! Radiation absorbed in the snow |
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| 124 | REAL(wp), DIMENSION(jpij,0:nlay_s) :: zkappa_s ! Kappa factor in the snow |
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| 125 | REAL(wp), DIMENSION(jpij,0:nlay_s) :: zeta_s ! Eta factor in the snow |
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| 126 | REAL(wp), DIMENSION(jpij,nlay_i+3) :: zindterm ! 'Ind'ependent term |
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| 127 | REAL(wp), DIMENSION(jpij,nlay_i+3) :: zindtbis ! Temporary 'ind'ependent term |
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| 128 | REAL(wp), DIMENSION(jpij,nlay_i+3) :: zdiagbis ! Temporary 'dia'gonal term |
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| 129 | REAL(wp), DIMENSION(jpij,nlay_i+3,3) :: ztrid ! Tridiagonal system terms |
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| 130 | REAL(wp), DIMENSION(jpij) :: zq_ini ! diag errors on heat |
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| 131 | REAL(wp), DIMENSION(jpij) :: zghe ! G(he), th. conduct enhancement factor, mono-cat |
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| 132 | ! |
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| 133 | ! Mono-category |
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| 134 | REAL(wp) :: zepsilon ! determines thres. above which computation of G(h) is done |
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| 135 | REAL(wp) :: zhe ! dummy factor |
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| 136 | REAL(wp) :: zcnd_i ! mean sea ice thermal conductivity |
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| 137 | !!------------------------------------------------------------------ |
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| 138 | |
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| 139 | ! --- diag error on heat diffusion - PART 1 --- ! |
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| 140 | DO ji = 1, npti |
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| 141 | zq_ini(ji) = ( SUM( e_i_1d(ji,1:nlay_i) ) * h_i_1d(ji) * r1_nlay_i + & |
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| 142 | & SUM( e_s_1d(ji,1:nlay_s) ) * h_s_1d(ji) * r1_nlay_s ) |
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| 143 | END DO |
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| 144 | |
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[12369] | 145 | DO ji = 1, npti |
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| 146 | IF (to_print(ji) == 10) THEN |
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| 147 | 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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| 148 | END IF |
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| 149 | END DO |
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| 150 | |
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[8984] | 151 | !------------------ |
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| 152 | ! 1) Initialization |
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| 153 | !------------------ |
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| 154 | DO ji = 1, npti |
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[12371] | 155 | |
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| 156 | ! If the snow thickness drops below zhs_min then reduce the snow fraction instead |
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| 157 | IF( h_s_1d(ji) < zhs_min ) THEN |
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[12475] | 158 | isnow(ji) = h_s_1d(ji) / zhs_min |
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[12371] | 159 | zh_s(ji) = zhs_min * r1_nlay_s |
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| 160 | ELSE |
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| 161 | isnow(ji) = 1.0_wp |
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| 162 | zh_s(ji) = h_s_1d(ji) * r1_nlay_s |
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| 163 | END IF |
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| 164 | |
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[8984] | 165 | ! layer thickness |
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| 166 | zh_i(ji) = h_i_1d(ji) * r1_nlay_i |
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[12371] | 167 | |
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[12369] | 168 | IF( to_print(ji) == 10 ) THEN |
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| 169 | 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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| 170 | END IF |
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[8984] | 171 | END DO |
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| 172 | ! |
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| 173 | WHERE( zh_i(1:npti) >= epsi10 ) ; z1_h_i(1:npti) = 1._wp / zh_i(1:npti) |
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| 174 | ELSEWHERE ; z1_h_i(1:npti) = 0._wp |
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| 175 | END WHERE |
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| 176 | ! |
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[9423] | 177 | ! |
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| 178 | WHERE( zh_s(1:npti) > 0._wp ) ; z1_h_s(1:npti) = 1._wp / zh_s(1:npti) |
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[8984] | 179 | ELSEWHERE ; z1_h_s(1:npti) = 0._wp |
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| 180 | END WHERE |
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| 181 | ! |
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| 182 | ! Store initial temperatures and non solar heat fluxes |
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[10534] | 183 | IF( k_cnd == np_cnd_OFF .OR. k_cnd == np_cnd_EMU ) THEN |
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[8984] | 184 | ! |
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| 185 | ztsub (1:npti) = t_su_1d(1:npti) ! surface temperature at iteration n-1 |
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| 186 | ztsuold (1:npti) = t_su_1d(1:npti) ! surface temperature initial value |
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| 187 | 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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| 188 | zdqns_ice_b(1:npti) = dqns_ice_1d(1:npti) ! derivative of incoming nonsolar flux |
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| 189 | zqns_ice_b (1:npti) = qns_ice_1d(1:npti) ! store previous qns_ice_1d value |
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| 190 | ! |
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| 191 | ENDIF |
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| 192 | ! |
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| 193 | ztsold (1:npti,:) = t_s_1d(1:npti,:) ! Old snow temperature |
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| 194 | ztiold (1:npti,:) = t_i_1d(1:npti,:) ! Old ice temperature |
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| 195 | |
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| 196 | !------------- |
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| 197 | ! 2) Radiation |
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| 198 | !------------- |
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| 199 | ! --- Transmission/absorption of solar radiation in the ice --- ! |
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[9910] | 200 | zradtr_s(1:npti,0) = qtr_ice_top_1d(1:npti) |
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[8984] | 201 | DO jk = 1, nlay_s |
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| 202 | DO ji = 1, npti |
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| 203 | ! ! radiation transmitted below the layer-th snow layer |
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[9423] | 204 | 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] | 205 | ! ! radiation absorbed by the layer-th snow layer |
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| 206 | zradab_s(ji,jk) = zradtr_s(ji,jk-1) - zradtr_s(ji,jk) |
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| 207 | END DO |
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| 208 | END DO |
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| 209 | ! |
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[9910] | 210 | 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] | 211 | DO jk = 1, nlay_i |
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| 212 | DO ji = 1, npti |
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| 213 | ! ! radiation transmitted below the layer-th ice layer |
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| 214 | zradtr_i(ji,jk) = zradtr_i(ji,0) * EXP( - rn_kappa_i * zh_i(ji) * REAL(jk) ) |
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| 215 | ! ! radiation absorbed by the layer-th ice layer |
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| 216 | zradab_i(ji,jk) = zradtr_i(ji,jk-1) - zradtr_i(ji,jk) |
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| 217 | END DO |
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| 218 | END DO |
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| 219 | ! |
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[9910] | 220 | qtr_ice_bot_1d(1:npti) = zradtr_i(1:npti,nlay_i) ! record radiation transmitted below the ice |
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[8984] | 221 | ! |
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| 222 | iconv = 0 ! number of iterations |
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| 223 | ! |
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[10425] | 224 | l_T_converged(:) = .FALSE. |
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| 225 | ! Convergence calculated until all sub-domain grid points have converged |
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| 226 | ! Calculations keep going for all grid points until sub-domain convergence (vectorisation optimisation) |
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| 227 | ! but values are not taken into account (results independant of MPI partitioning) |
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| 228 | ! |
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[11081] | 229 | ! !============================! |
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[10425] | 230 | DO WHILE ( ( .NOT. ALL (l_T_converged(1:npti)) ) .AND. iconv < iconv_max ) ! Iterative procedure begins ! |
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[11081] | 231 | ! !============================! |
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[8984] | 232 | iconv = iconv + 1 |
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| 233 | ! |
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| 234 | ztib(1:npti,:) = t_i_1d(1:npti,:) |
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| 235 | ztsb(1:npti,:) = t_s_1d(1:npti,:) |
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| 236 | ! |
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| 237 | !-------------------------------- |
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| 238 | ! 3) Sea ice thermal conductivity |
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| 239 | !-------------------------------- |
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| 240 | IF( ln_cndi_U64 ) THEN !-- Untersteiner (1964) formula: k = k0 + beta.S/T |
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| 241 | ! |
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| 242 | DO ji = 1, npti |
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[10425] | 243 | 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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| 244 | 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] | 245 | END DO |
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| 246 | DO jk = 1, nlay_i-1 |
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| 247 | DO ji = 1, npti |
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[10425] | 248 | 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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| 249 | & MIN( -epsi10, 0.5_wp * (t_i_1d(ji,jk) + t_i_1d(ji,jk+1)) - rt0 ) |
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[8984] | 250 | END DO |
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| 251 | END DO |
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| 252 | ! |
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| 253 | ELSEIF( ln_cndi_P07 ) THEN !-- Pringle et al formula: k = k0 + beta1.S/T - beta2.T |
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| 254 | ! |
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| 255 | DO ji = 1, npti |
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[10425] | 256 | 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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| 257 | & - 0.011_wp * ( t_i_1d(ji,1) - rt0 ) |
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| 258 | 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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| 259 | & - 0.011_wp * ( t_bo_1d(ji) - rt0 ) |
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[8984] | 260 | END DO |
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| 261 | DO jk = 1, nlay_i-1 |
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| 262 | DO ji = 1, npti |
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[10425] | 263 | 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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| 264 | & MIN( -epsi10, 0.5_wp * ( t_i_1d (ji,jk) + t_i_1d (ji,jk+1) ) - rt0 ) & |
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| 265 | & - 0.011_wp * ( 0.5_wp * ( t_i_1d (ji,jk) + t_i_1d (ji,jk+1) ) - rt0 ) |
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[8984] | 266 | END DO |
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| 267 | END DO |
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| 268 | ! |
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| 269 | ENDIF |
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[10425] | 270 | |
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| 271 | ! Variable used after iterations |
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| 272 | ! Value must be frozen after convergence for MPP independance reason |
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| 273 | DO ji = 1, npti |
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| 274 | IF ( .NOT. l_T_converged(ji) ) & |
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[12369] | 275 | ztcond_i(ji,:) = MAX( zkimin, ztcond_i_cp(ji,:) ) |
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| 276 | |
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| 277 | IF (to_print(ji) == 10) THEN |
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| 278 | 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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| 279 | 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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| 280 | 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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| 281 | write(numout,*)'icethd_zdf_bl99: sz_i_1d(ji,:) = ',sz_i_1d(ji,:) |
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| 282 | write(numout,*)'icethd_zdf_bl99: t_i_1d(ji,:) = ',t_i_1d(ji,:) |
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| 283 | write(numout,*)'icethd_zdf_bl99: ztcond_i_cp(ji,:) = ',ztcond_i_cp(ji,:) |
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| 284 | write(numout,*)'icethd_zdf_bl99: zkimin = ',zkimin |
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| 285 | write(numout,*)'icethd_zdf_bl99: ztcond_i = ',ztcond_i(ji,:) |
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| 286 | ENDIF |
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[10425] | 287 | END DO |
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[12369] | 288 | |
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| 289 | |
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| 290 | |
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[8984] | 291 | ! |
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| 292 | !--- G(he) : enhancement of thermal conductivity in mono-category case |
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| 293 | ! Computation of effective thermal conductivity G(h) |
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| 294 | ! Used in mono-category case only to simulate an ITD implicitly |
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| 295 | ! Fichefet and Morales Maqueda, JGR 1997 |
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| 296 | zghe(1:npti) = 1._wp |
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| 297 | ! |
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[10531] | 298 | IF( ln_virtual_itd ) THEN |
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[8984] | 299 | ! |
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| 300 | zepsilon = 0.1_wp |
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| 301 | DO ji = 1, npti |
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| 302 | zcnd_i = SUM( ztcond_i(ji,:) ) / REAL( nlay_i+1, wp ) ! Mean sea ice thermal conductivity |
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| 303 | 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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| 304 | IF( zhe >= zepsilon * 0.5_wp * EXP(1._wp) ) & |
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| 305 | & zghe(ji) = MIN( 2._wp, 0.5_wp * ( 1._wp + LOG( 2._wp * zhe / zepsilon ) ) ) ! G(he) |
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| 306 | END DO |
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| 307 | ! |
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[10531] | 308 | ENDIF |
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[8984] | 309 | ! |
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| 310 | !----------------- |
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| 311 | ! 4) kappa factors |
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| 312 | !----------------- |
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| 313 | !--- Snow |
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[10425] | 314 | ! Variable used after iterations |
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| 315 | ! Value must be frozen after convergence for MPP independance reason |
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[8984] | 316 | DO jk = 0, nlay_s-1 |
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| 317 | DO ji = 1, npti |
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[10425] | 318 | IF ( .NOT. l_T_converged(ji) ) & |
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| 319 | zkappa_s(ji,jk) = zghe(ji) * rn_cnd_s * z1_h_s(ji) |
---|
[8984] | 320 | END DO |
---|
| 321 | END DO |
---|
| 322 | DO ji = 1, npti ! Snow-ice interface |
---|
[10425] | 323 | IF ( .NOT. l_T_converged(ji) ) THEN |
---|
| 324 | zfac = 0.5_wp * ( ztcond_i(ji,0) * zh_s(ji) + rn_cnd_s * zh_i(ji) ) |
---|
| 325 | IF( zfac > epsi10 ) THEN |
---|
| 326 | zkappa_s(ji,nlay_s) = zghe(ji) * rn_cnd_s * ztcond_i(ji,0) / zfac |
---|
| 327 | ELSE |
---|
| 328 | zkappa_s(ji,nlay_s) = 0._wp |
---|
| 329 | ENDIF |
---|
[8984] | 330 | ENDIF |
---|
| 331 | END DO |
---|
| 332 | |
---|
| 333 | !--- Ice |
---|
[10425] | 334 | ! Variable used after iterations |
---|
| 335 | ! Value must be frozen after convergence for MPP independance reason |
---|
[8984] | 336 | DO jk = 0, nlay_i |
---|
| 337 | DO ji = 1, npti |
---|
[10425] | 338 | IF ( .NOT. l_T_converged(ji) ) & |
---|
| 339 | zkappa_i(ji,jk) = zghe(ji) * ztcond_i(ji,jk) * z1_h_i(ji) |
---|
[8984] | 340 | END DO |
---|
| 341 | END DO |
---|
| 342 | DO ji = 1, npti ! Snow-ice interface |
---|
[12369] | 343 | |
---|
| 344 | IF (to_print(ji) == 10) THEN |
---|
| 345 | 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) |
---|
| 346 | END IF |
---|
[8984] | 347 | END DO |
---|
| 348 | ! |
---|
| 349 | !-------------------------------------- |
---|
| 350 | ! 5) Sea ice specific heat, eta factors |
---|
| 351 | !-------------------------------------- |
---|
| 352 | DO jk = 1, nlay_i |
---|
| 353 | DO ji = 1, npti |
---|
[9935] | 354 | zcpi = rcpi + zgamma * sz_i_1d(ji,jk) / MAX( ( t_i_1d(ji,jk) - rt0 ) * ( ztiold(ji,jk) - rt0 ), epsi10 ) |
---|
| 355 | zeta_i(ji,jk) = rdt_ice * r1_rhoi * z1_h_i(ji) / MAX( epsi10, zcpi ) |
---|
[12369] | 356 | |
---|
| 357 | IF (to_print(ji) == 10 .AND. jk == 1 .AND. cat == 1) THEN |
---|
| 358 | write(numout,*) 'zeta_i(ji,jk), z1_h_i(ji), zcpi = ',zeta_i(ji,jk), ' ', z1_h_i(ji), ' ', zcpi |
---|
| 359 | 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) |
---|
| 360 | write(numout,*) 'iconv, l_T_converged(ji) = ',iconv, ' ',l_T_converged(ji) |
---|
| 361 | END IF |
---|
[8984] | 362 | END DO |
---|
| 363 | END DO |
---|
| 364 | |
---|
| 365 | DO jk = 1, nlay_s |
---|
| 366 | DO ji = 1, npti |
---|
[12475] | 367 | zeta_s(ji,jk) = rdt_ice * r1_rhos * r1_rcpi * z1_h_s(ji) |
---|
[8984] | 368 | END DO |
---|
| 369 | END DO |
---|
[12369] | 370 | |
---|
[8984] | 371 | ! |
---|
| 372 | !----------------------------------------! |
---|
| 373 | ! ! |
---|
[10534] | 374 | ! Conduction flux is off or emulated ! |
---|
[8984] | 375 | ! ! |
---|
| 376 | !----------------------------------------! |
---|
| 377 | ! |
---|
[10534] | 378 | IF( k_cnd == np_cnd_OFF .OR. k_cnd == np_cnd_EMU ) THEN |
---|
[8984] | 379 | ! |
---|
| 380 | ! ==> The original BL99 temperature computation is used |
---|
| 381 | ! (with qsr_ice, qns_ice and dqns_ice as inputs) |
---|
| 382 | ! |
---|
| 383 | !---------------------------- |
---|
| 384 | ! 6) surface flux computation |
---|
| 385 | !---------------------------- |
---|
| 386 | ! update of the non solar flux according to the update in T_su |
---|
| 387 | DO ji = 1, npti |
---|
[10425] | 388 | ! Variable used after iterations |
---|
| 389 | ! Value must be frozen after convergence for MPP independance reason |
---|
| 390 | IF ( .NOT. l_T_converged(ji) ) & |
---|
| 391 | qns_ice_1d(ji) = qns_ice_1d(ji) + dqns_ice_1d(ji) * ( t_su_1d(ji) - ztsub(ji) ) |
---|
[8984] | 392 | END DO |
---|
| 393 | |
---|
| 394 | DO ji = 1, npti |
---|
[9910] | 395 | zfnet(ji) = qsr_ice_1d(ji) - qtr_ice_top_1d(ji) + qns_ice_1d(ji) ! net heat flux = net - transmitted solar + non solar |
---|
[8984] | 396 | END DO |
---|
[12369] | 397 | |
---|
| 398 | DO ji = 1, npti |
---|
| 399 | IF (to_print(ji) == 10) THEN |
---|
| 400 | 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) |
---|
| 401 | END IF |
---|
| 402 | END DO |
---|
[8984] | 403 | ! |
---|
| 404 | !---------------------------- |
---|
| 405 | ! 7) tridiagonal system terms |
---|
| 406 | !---------------------------- |
---|
| 407 | ! layer denotes the number of the layer in the snow or in the ice |
---|
| 408 | ! jm denotes the reference number of the equation in the tridiagonal |
---|
| 409 | ! system, terms of tridiagonal system are indexed as following : |
---|
| 410 | ! 1 is subdiagonal term, 2 is diagonal and 3 is superdiagonal one |
---|
| 411 | |
---|
| 412 | ! ice interior terms (top equation has the same form as the others) |
---|
| 413 | ztrid (1:npti,:,:) = 0._wp |
---|
| 414 | zindterm(1:npti,:) = 0._wp |
---|
| 415 | zindtbis(1:npti,:) = 0._wp |
---|
| 416 | zdiagbis(1:npti,:) = 0._wp |
---|
| 417 | |
---|
| 418 | DO jm = nlay_s + 2, nlay_s + nlay_i |
---|
| 419 | DO ji = 1, npti |
---|
| 420 | jk = jm - nlay_s - 1 |
---|
| 421 | ztrid (ji,jm,1) = - zeta_i(ji,jk) * zkappa_i(ji,jk-1) |
---|
| 422 | ztrid (ji,jm,2) = 1._wp + zeta_i(ji,jk) * ( zkappa_i(ji,jk-1) + zkappa_i(ji,jk) ) |
---|
| 423 | ztrid (ji,jm,3) = - zeta_i(ji,jk) * zkappa_i(ji,jk) |
---|
| 424 | zindterm(ji,jm) = ztiold(ji,jk) + zeta_i(ji,jk) * zradab_i(ji,jk) |
---|
| 425 | END DO |
---|
| 426 | END DO |
---|
| 427 | |
---|
| 428 | jm = nlay_s + nlay_i + 1 |
---|
| 429 | DO ji = 1, npti |
---|
| 430 | ! ice bottom term |
---|
| 431 | ztrid (ji,jm,1) = - zeta_i(ji,nlay_i) * zkappa_i(ji,nlay_i-1) |
---|
| 432 | ztrid (ji,jm,2) = 1._wp + zeta_i(ji,nlay_i) * ( zkappa_i(ji,nlay_i-1) + zkappa_i(ji,nlay_i) * zg1 ) |
---|
| 433 | ztrid (ji,jm,3) = 0._wp |
---|
| 434 | zindterm(ji,jm) = ztiold(ji,nlay_i) + zeta_i(ji,nlay_i) * & |
---|
| 435 | & ( zradab_i(ji,nlay_i) + zkappa_i(ji,nlay_i) * zg1 * t_bo_1d(ji) ) |
---|
| 436 | END DO |
---|
| 437 | |
---|
[12369] | 438 | DO ji = 1, npti |
---|
| 439 | IF (to_print(ji) == 10) THEN |
---|
| 440 | 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) |
---|
| 441 | END IF |
---|
| 442 | END DO |
---|
| 443 | |
---|
[8984] | 444 | DO ji = 1, npti |
---|
| 445 | ! !---------------------! |
---|
| 446 | IF( h_s_1d(ji) > 0._wp ) THEN ! snow-covered cells ! |
---|
| 447 | ! !---------------------! |
---|
| 448 | ! snow interior terms (bottom equation has the same form as the others) |
---|
| 449 | DO jm = 3, nlay_s + 1 |
---|
| 450 | jk = jm - 1 |
---|
| 451 | ztrid (ji,jm,1) = - zeta_s(ji,jk) * zkappa_s(ji,jk-1) |
---|
| 452 | ztrid (ji,jm,2) = 1._wp + zeta_s(ji,jk) * ( zkappa_s(ji,jk-1) + zkappa_s(ji,jk) ) |
---|
| 453 | ztrid (ji,jm,3) = - zeta_s(ji,jk) * zkappa_s(ji,jk) |
---|
| 454 | zindterm(ji,jm) = ztsold(ji,jk) + zeta_s(ji,jk) * zradab_s(ji,jk) |
---|
| 455 | END DO |
---|
| 456 | |
---|
| 457 | ! case of only one layer in the ice (ice equation is altered) |
---|
| 458 | IF( nlay_i == 1 ) THEN |
---|
| 459 | ztrid (ji,nlay_s+2,3) = 0._wp |
---|
[9068] | 460 | zindterm(ji,nlay_s+2) = zindterm(ji,nlay_s+2) + zeta_i(ji,1) * zkappa_i(ji,1) * t_bo_1d(ji) |
---|
[8984] | 461 | ENDIF |
---|
| 462 | |
---|
| 463 | IF( t_su_1d(ji) < rt0 ) THEN !-- case 1 : no surface melting |
---|
| 464 | |
---|
| 465 | jm_min(ji) = 1 |
---|
| 466 | jm_max(ji) = nlay_i + nlay_s + 1 |
---|
| 467 | |
---|
| 468 | ! surface equation |
---|
| 469 | ztrid (ji,1,1) = 0._wp |
---|
| 470 | ztrid (ji,1,2) = zdqns_ice_b(ji) - zg1s * zkappa_s(ji,0) |
---|
| 471 | ztrid (ji,1,3) = zg1s * zkappa_s(ji,0) |
---|
| 472 | zindterm(ji,1) = zdqns_ice_b(ji) * t_su_1d(ji) - zfnet(ji) |
---|
| 473 | |
---|
| 474 | ! first layer of snow equation |
---|
| 475 | ztrid (ji,2,1) = - zeta_s(ji,1) * zkappa_s(ji,0) * zg1s |
---|
| 476 | ztrid (ji,2,2) = 1._wp + zeta_s(ji,1) * ( zkappa_s(ji,1) + zkappa_s(ji,0) * zg1s ) |
---|
| 477 | ztrid (ji,2,3) = - zeta_s(ji,1) * zkappa_s(ji,1) |
---|
| 478 | zindterm(ji,2) = ztsold(ji,1) + zeta_s(ji,1) * zradab_s(ji,1) |
---|
| 479 | |
---|
| 480 | ELSE !-- case 2 : surface is melting |
---|
| 481 | ! |
---|
| 482 | jm_min(ji) = 2 |
---|
| 483 | jm_max(ji) = nlay_i + nlay_s + 1 |
---|
| 484 | |
---|
| 485 | ! first layer of snow equation |
---|
| 486 | ztrid (ji,2,1) = 0._wp |
---|
| 487 | ztrid (ji,2,2) = 1._wp + zeta_s(ji,1) * ( zkappa_s(ji,1) + zkappa_s(ji,0) * zg1s ) |
---|
| 488 | ztrid (ji,2,3) = - zeta_s(ji,1) * zkappa_s(ji,1) |
---|
| 489 | zindterm(ji,2) = ztsold(ji,1) + zeta_s(ji,1) * ( zradab_s(ji,1) + zkappa_s(ji,0) * zg1s * t_su_1d(ji) ) |
---|
| 490 | ENDIF |
---|
| 491 | ! !---------------------! |
---|
| 492 | ELSE ! cells without snow ! |
---|
| 493 | ! !---------------------! |
---|
| 494 | ! |
---|
| 495 | IF( t_su_1d(ji) < rt0 ) THEN !-- case 1 : no surface melting |
---|
| 496 | ! |
---|
| 497 | jm_min(ji) = nlay_s + 1 |
---|
| 498 | jm_max(ji) = nlay_i + nlay_s + 1 |
---|
| 499 | |
---|
| 500 | ! surface equation |
---|
| 501 | ztrid (ji,jm_min(ji),1) = 0._wp |
---|
| 502 | ztrid (ji,jm_min(ji),2) = zdqns_ice_b(ji) - zkappa_i(ji,0) * zg1 |
---|
| 503 | ztrid (ji,jm_min(ji),3) = zkappa_i(ji,0) * zg1 |
---|
| 504 | zindterm(ji,jm_min(ji)) = zdqns_ice_b(ji) * t_su_1d(ji) - zfnet(ji) |
---|
| 505 | |
---|
| 506 | ! first layer of ice equation |
---|
| 507 | ztrid (ji,jm_min(ji)+1,1) = - zeta_i(ji,1) * zkappa_i(ji,0) * zg1 |
---|
| 508 | ztrid (ji,jm_min(ji)+1,2) = 1._wp + zeta_i(ji,1) * ( zkappa_i(ji,1) + zkappa_i(ji,0) * zg1 ) |
---|
| 509 | ztrid (ji,jm_min(ji)+1,3) = - zeta_i(ji,1) * zkappa_i(ji,1) |
---|
| 510 | zindterm(ji,jm_min(ji)+1) = ztiold(ji,1) + zeta_i(ji,1) * zradab_i(ji,1) |
---|
| 511 | |
---|
| 512 | ! case of only one layer in the ice (surface & ice equations are altered) |
---|
| 513 | IF( nlay_i == 1 ) THEN |
---|
| 514 | ztrid (ji,jm_min(ji),1) = 0._wp |
---|
| 515 | ztrid (ji,jm_min(ji),2) = zdqns_ice_b(ji) - zkappa_i(ji,0) * 2._wp |
---|
| 516 | ztrid (ji,jm_min(ji),3) = zkappa_i(ji,0) * 2._wp |
---|
| 517 | ztrid (ji,jm_min(ji)+1,1) = - zeta_i(ji,1) * zkappa_i(ji,0) * 2._wp |
---|
| 518 | ztrid (ji,jm_min(ji)+1,2) = 1._wp + zeta_i(ji,1) * ( zkappa_i(ji,0) * 2._wp + zkappa_i(ji,1) ) |
---|
| 519 | ztrid (ji,jm_min(ji)+1,3) = 0._wp |
---|
| 520 | 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)) |
---|
| 521 | ENDIF |
---|
| 522 | |
---|
| 523 | ELSE !-- case 2 : surface is melting |
---|
| 524 | |
---|
| 525 | jm_min(ji) = nlay_s + 2 |
---|
| 526 | jm_max(ji) = nlay_i + nlay_s + 1 |
---|
| 527 | |
---|
| 528 | ! first layer of ice equation |
---|
| 529 | ztrid (ji,jm_min(ji),1) = 0._wp |
---|
| 530 | ztrid (ji,jm_min(ji),2) = 1._wp + zeta_i(ji,1) * ( zkappa_i(ji,1) + zkappa_i(ji,0) * zg1 ) |
---|
| 531 | ztrid (ji,jm_min(ji),3) = - zeta_i(ji,1) * zkappa_i(ji,1) |
---|
| 532 | 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)) |
---|
| 533 | |
---|
| 534 | ! case of only one layer in the ice (surface & ice equations are altered) |
---|
| 535 | IF( nlay_i == 1 ) THEN |
---|
| 536 | ztrid (ji,jm_min(ji),1) = 0._wp |
---|
| 537 | ztrid (ji,jm_min(ji),2) = 1._wp + zeta_i(ji,1) * ( zkappa_i(ji,0) * 2._wp + zkappa_i(ji,1) ) |
---|
| 538 | ztrid (ji,jm_min(ji),3) = 0._wp |
---|
| 539 | zindterm(ji,jm_min(ji)) = ztiold(ji,1) + zeta_i(ji,1) * ( zradab_i(ji,1) + zkappa_i(ji,1) * t_bo_1d(ji) ) & |
---|
| 540 | & + t_su_1d(ji) * zeta_i(ji,1) * zkappa_i(ji,0) * 2._wp |
---|
| 541 | ENDIF |
---|
| 542 | |
---|
| 543 | ENDIF |
---|
| 544 | ENDIF |
---|
| 545 | ! |
---|
| 546 | zindtbis(ji,jm_min(ji)) = zindterm(ji,jm_min(ji)) |
---|
| 547 | zdiagbis(ji,jm_min(ji)) = ztrid (ji,jm_min(ji),2) |
---|
| 548 | ! |
---|
| 549 | END DO |
---|
[12369] | 550 | |
---|
| 551 | DO ji = 1, npti |
---|
| 552 | IF (to_print(ji) == 10) THEN |
---|
| 553 | write(numout,*) 'tri diagonal matrix terms zetai = ',zeta_i(ji,:) |
---|
| 554 | END IF |
---|
| 555 | END DO |
---|
[8984] | 556 | ! |
---|
| 557 | !------------------------------ |
---|
| 558 | ! 8) tridiagonal system solving |
---|
| 559 | !------------------------------ |
---|
| 560 | ! Solve the tridiagonal system with Gauss elimination method. |
---|
| 561 | ! Thomas algorithm, from Computational fluid Dynamics, J.D. ANDERSON, McGraw-Hill 1984 |
---|
| 562 | jm_maxt = 0 |
---|
| 563 | jm_mint = nlay_i+5 |
---|
| 564 | DO ji = 1, npti |
---|
| 565 | jm_mint = MIN(jm_min(ji),jm_mint) |
---|
| 566 | jm_maxt = MAX(jm_max(ji),jm_maxt) |
---|
| 567 | END DO |
---|
| 568 | |
---|
| 569 | DO jk = jm_mint+1, jm_maxt |
---|
| 570 | DO ji = 1, npti |
---|
| 571 | jm = MIN(MAX(jm_min(ji)+1,jk),jm_max(ji)) |
---|
| 572 | zdiagbis(ji,jm) = ztrid (ji,jm,2) - ztrid(ji,jm,1) * ztrid (ji,jm-1,3) / zdiagbis(ji,jm-1) |
---|
| 573 | zindtbis(ji,jm) = zindterm(ji,jm ) - ztrid(ji,jm,1) * zindtbis(ji,jm-1 ) / zdiagbis(ji,jm-1) |
---|
| 574 | END DO |
---|
| 575 | END DO |
---|
| 576 | |
---|
| 577 | ! ice temperatures |
---|
| 578 | DO ji = 1, npti |
---|
[10425] | 579 | ! Variable used after iterations |
---|
| 580 | ! Value must be frozen after convergence for MPP independance reason |
---|
| 581 | IF ( .NOT. l_T_converged(ji) ) & |
---|
| 582 | t_i_1d(ji,nlay_i) = zindtbis(ji,jm_max(ji)) / zdiagbis(ji,jm_max(ji)) |
---|
[8984] | 583 | END DO |
---|
| 584 | |
---|
| 585 | DO jm = nlay_i + nlay_s, nlay_s + 2, -1 |
---|
| 586 | DO ji = 1, npti |
---|
| 587 | jk = jm - nlay_s - 1 |
---|
[10425] | 588 | IF ( .NOT. l_T_converged(ji) ) & |
---|
| 589 | t_i_1d(ji,jk) = ( zindtbis(ji,jm) - ztrid(ji,jm,3) * t_i_1d(ji,jk+1) ) / zdiagbis(ji,jm) |
---|
[8984] | 590 | END DO |
---|
| 591 | END DO |
---|
| 592 | |
---|
| 593 | DO ji = 1, npti |
---|
[10425] | 594 | ! Variables used after iterations |
---|
| 595 | ! Value must be frozen after convergence for MPP independance reason |
---|
| 596 | IF ( .NOT. l_T_converged(ji) ) THEN |
---|
| 597 | ! snow temperatures |
---|
| 598 | IF( h_s_1d(ji) > 0._wp ) THEN |
---|
| 599 | 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) |
---|
| 600 | ENDIF |
---|
| 601 | ! surface temperature |
---|
| 602 | ztsub(ji) = t_su_1d(ji) |
---|
| 603 | IF( t_su_1d(ji) < rt0 ) THEN |
---|
| 604 | t_su_1d(ji) = ( zindtbis(ji,jm_min(ji)) - ztrid(ji,jm_min(ji),3) * & |
---|
| 605 | & ( isnow(ji) * t_s_1d(ji,1) + ( 1._wp - isnow(ji) ) * t_i_1d(ji,1) ) ) / zdiagbis(ji,jm_min(ji)) |
---|
| 606 | ENDIF |
---|
[8984] | 607 | ENDIF |
---|
[12369] | 608 | |
---|
| 609 | IF (to_print(ji) == 10 ) THEN |
---|
| 610 | 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) |
---|
| 611 | 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) |
---|
| 612 | END IF |
---|
| 613 | |
---|
[8984] | 614 | END DO |
---|
[12369] | 615 | DO ji = 1, npti |
---|
| 616 | IF (to_print(ji) == 10) THEN |
---|
| 617 | 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) |
---|
| 618 | END IF |
---|
| 619 | END DO |
---|
[8984] | 620 | ! |
---|
| 621 | !-------------------------------------------------------------- |
---|
| 622 | ! 9) Has the scheme converged?, end of the iterative procedure |
---|
| 623 | !-------------------------------------------------------------- |
---|
| 624 | ! check that nowhere it has started to melt |
---|
| 625 | ! zdti_max is a measure of error, it has to be under zdti_bnd |
---|
[10425] | 626 | |
---|
[8984] | 627 | DO ji = 1, npti |
---|
| 628 | |
---|
[10425] | 629 | zdti_max = 0._wp |
---|
[8984] | 630 | |
---|
[10425] | 631 | IF ( .NOT. l_T_converged(ji) ) THEN |
---|
| 632 | t_su_1d(ji) = MAX( MIN( t_su_1d(ji) , rt0 ) , rt0 - 100._wp ) |
---|
| 633 | zdti_max = MAX( zdti_max, ABS( t_su_1d(ji) - ztsub(ji) ) ) |
---|
| 634 | |
---|
| 635 | t_s_1d(ji,1:nlay_s) = MAX( MIN( t_s_1d(ji,1:nlay_s), rt0 ), rt0 - 100._wp ) |
---|
| 636 | zdti_max = MAX ( zdti_max , MAXVAL( ABS( t_s_1d(ji,1:nlay_s) - ztsb(ji,1:nlay_s) ) ) ) |
---|
| 637 | |
---|
| 638 | DO jk = 1, nlay_i |
---|
| 639 | ztmelts = -rTmlt * sz_i_1d(ji,jk) + rt0 |
---|
| 640 | t_i_1d(ji,jk) = MAX( MIN( t_i_1d(ji,jk), ztmelts ), rt0 - 100._wp ) |
---|
| 641 | zdti_max = MAX( zdti_max, ABS( t_i_1d(ji,jk) - ztib(ji,jk) ) ) |
---|
| 642 | END DO |
---|
| 643 | |
---|
| 644 | IF ( zdti_max < zdti_bnd ) l_T_converged(ji) = .TRUE. |
---|
| 645 | |
---|
| 646 | ENDIF |
---|
| 647 | |
---|
[8984] | 648 | END DO |
---|
| 649 | |
---|
[12369] | 650 | DO ji = 1, npti |
---|
| 651 | IF (to_print(ji) == 10) THEN |
---|
| 652 | 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) |
---|
| 653 | END IF |
---|
| 654 | END DO |
---|
| 655 | |
---|
[8984] | 656 | !----------------------------------------! |
---|
| 657 | ! ! |
---|
[10534] | 658 | ! Conduction flux is on ! |
---|
[8984] | 659 | ! ! |
---|
| 660 | !----------------------------------------! |
---|
| 661 | ! |
---|
[10534] | 662 | ELSEIF( k_cnd == np_cnd_ON ) THEN |
---|
[8984] | 663 | ! |
---|
| 664 | ! ==> we use a modified BL99 solver with conduction flux (qcn_ice) as forcing term |
---|
[12369] | 665 | DO ji = 1, npti |
---|
| 666 | IF (to_print(ji) == 10) THEN |
---|
| 667 | 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) |
---|
| 668 | END IF |
---|
| 669 | END DO |
---|
[8984] | 670 | ! |
---|
| 671 | !---------------------------- |
---|
| 672 | ! 7) tridiagonal system terms |
---|
| 673 | !---------------------------- |
---|
| 674 | ! layer denotes the number of the layer in the snow or in the ice |
---|
| 675 | ! jm denotes the reference number of the equation in the tridiagonal |
---|
| 676 | ! system, terms of tridiagonal system are indexed as following : |
---|
| 677 | ! 1 is subdiagonal term, 2 is diagonal and 3 is superdiagonal one |
---|
| 678 | |
---|
| 679 | ! ice interior terms (top equation has the same form as the others) |
---|
| 680 | ztrid (1:npti,:,:) = 0._wp |
---|
| 681 | zindterm(1:npti,:) = 0._wp |
---|
| 682 | zindtbis(1:npti,:) = 0._wp |
---|
| 683 | zdiagbis(1:npti,:) = 0._wp |
---|
| 684 | |
---|
| 685 | DO jm = nlay_s + 2, nlay_s + nlay_i |
---|
| 686 | DO ji = 1, npti |
---|
| 687 | jk = jm - nlay_s - 1 |
---|
| 688 | ztrid (ji,jm,1) = - zeta_i(ji,jk) * zkappa_i(ji,jk-1) |
---|
| 689 | ztrid (ji,jm,2) = 1._wp + zeta_i(ji,jk) * ( zkappa_i(ji,jk-1) + zkappa_i(ji,jk) ) |
---|
| 690 | ztrid (ji,jm,3) = - zeta_i(ji,jk) * zkappa_i(ji,jk) |
---|
| 691 | zindterm(ji,jm) = ztiold(ji,jk) + zeta_i(ji,jk) * zradab_i(ji,jk) |
---|
| 692 | END DO |
---|
| 693 | ENDDO |
---|
| 694 | |
---|
| 695 | jm = nlay_s + nlay_i + 1 |
---|
| 696 | DO ji = 1, npti |
---|
| 697 | ! ice bottom term |
---|
| 698 | ztrid (ji,jm,1) = - zeta_i(ji,nlay_i) * zkappa_i(ji,nlay_i-1) |
---|
| 699 | ztrid (ji,jm,2) = 1._wp + zeta_i(ji,nlay_i) * ( zkappa_i(ji,nlay_i-1) + zkappa_i(ji,nlay_i) * zg1 ) |
---|
| 700 | ztrid (ji,jm,3) = 0._wp |
---|
| 701 | zindterm(ji,jm) = ztiold(ji,nlay_i) + zeta_i(ji,nlay_i) * & |
---|
| 702 | & ( zradab_i(ji,nlay_i) + zkappa_i(ji,nlay_i) * zg1 * t_bo_1d(ji) ) |
---|
| 703 | ENDDO |
---|
| 704 | |
---|
[12369] | 705 | DO ji = 1, npti |
---|
| 706 | IF (to_print(ji) == 10 .AND. iconv == 1) THEN |
---|
| 707 | jm = nlay_s + nlay_i + 1 |
---|
| 708 | 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) |
---|
| 709 | 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) |
---|
| 710 | END IF |
---|
| 711 | END DO |
---|
| 712 | |
---|
[8984] | 713 | DO ji = 1, npti |
---|
| 714 | ! !---------------------! |
---|
[12475] | 715 | IF( h_s_1d(ji) > 0._wp ) THEN ! snow-covered cells ! |
---|
[8984] | 716 | ! !---------------------! |
---|
| 717 | ! snow interior terms (bottom equation has the same form as the others) |
---|
| 718 | DO jm = 3, nlay_s + 1 |
---|
| 719 | jk = jm - 1 |
---|
| 720 | ztrid (ji,jm,1) = - zeta_s(ji,jk) * zkappa_s(ji,jk-1) |
---|
| 721 | ztrid (ji,jm,2) = 1._wp + zeta_s(ji,jk) * ( zkappa_s(ji,jk-1) + zkappa_s(ji,jk) ) |
---|
| 722 | ztrid (ji,jm,3) = - zeta_s(ji,jk) * zkappa_s(ji,jk) |
---|
| 723 | zindterm(ji,jm) = ztsold(ji,jk) + zeta_s(ji,jk) * zradab_s(ji,jk) |
---|
| 724 | END DO |
---|
| 725 | |
---|
| 726 | ! case of only one layer in the ice (ice equation is altered) |
---|
| 727 | IF ( nlay_i == 1 ) THEN |
---|
| 728 | ztrid (ji,nlay_s+2,3) = 0._wp |
---|
[9068] | 729 | zindterm(ji,nlay_s+2) = zindterm(ji,nlay_s+2) + zeta_i(ji,1) * zkappa_i(ji,1) * t_bo_1d(ji) |
---|
[8984] | 730 | ENDIF |
---|
| 731 | |
---|
| 732 | jm_min(ji) = 2 |
---|
| 733 | jm_max(ji) = nlay_i + nlay_s + 1 |
---|
| 734 | |
---|
| 735 | ! first layer of snow equation |
---|
| 736 | ztrid (ji,2,1) = 0._wp |
---|
| 737 | ztrid (ji,2,2) = 1._wp + zeta_s(ji,1) * zkappa_s(ji,1) |
---|
| 738 | ztrid (ji,2,3) = - zeta_s(ji,1) * zkappa_s(ji,1) |
---|
| 739 | zindterm(ji,2) = ztsold(ji,1) + zeta_s(ji,1) * ( zradab_s(ji,1) + qcn_ice_1d(ji) ) |
---|
[12369] | 740 | |
---|
| 741 | IF (to_print(ji) == 10) THEN |
---|
| 742 | write(numout,*) 'ztrid for snow = ',ztrid (ji,2,:) |
---|
| 743 | write(numout,*) 'zindterm for snow = ',zindterm(ji,2) |
---|
| 744 | write(numout,*) 'zindterm using degC = ',zindterm(ji,2) - rt0 |
---|
| 745 | write(numout,*) 'nlay_s, nlay_i = ',nlay_s, ' ', nlay_i |
---|
| 746 | ENDIF |
---|
| 747 | |
---|
[8984] | 748 | |
---|
| 749 | ! !---------------------! |
---|
| 750 | ELSE ! cells without snow ! |
---|
| 751 | ! !---------------------! |
---|
| 752 | jm_min(ji) = nlay_s + 2 |
---|
| 753 | jm_max(ji) = nlay_i + nlay_s + 1 |
---|
| 754 | |
---|
| 755 | ! first layer of ice equation |
---|
| 756 | ztrid (ji,jm_min(ji),1) = 0._wp |
---|
| 757 | ztrid (ji,jm_min(ji),2) = 1._wp + zeta_i(ji,1) * zkappa_i(ji,1) |
---|
| 758 | ztrid (ji,jm_min(ji),3) = - zeta_i(ji,1) * zkappa_i(ji,1) |
---|
| 759 | zindterm(ji,jm_min(ji)) = ztiold(ji,1) + zeta_i(ji,1) * ( zradab_i(ji,1) + qcn_ice_1d(ji) ) |
---|
[12369] | 760 | |
---|
| 761 | IF (to_print(ji) == 10 .AND. iconv == 1) THEN |
---|
| 762 | 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) |
---|
| 763 | ENDIF |
---|
[8984] | 764 | |
---|
| 765 | ! case of only one layer in the ice (surface & ice equations are altered) |
---|
| 766 | IF( nlay_i == 1 ) THEN |
---|
| 767 | ztrid (ji,jm_min(ji),1) = 0._wp |
---|
| 768 | ztrid (ji,jm_min(ji),2) = 1._wp + zeta_i(ji,1) * zkappa_i(ji,1) |
---|
| 769 | ztrid (ji,jm_min(ji),3) = 0._wp |
---|
| 770 | zindterm(ji,jm_min(ji)) = ztiold(ji,1) + zeta_i(ji,1) * & |
---|
| 771 | & ( zradab_i(ji,1) + zkappa_i(ji,1) * t_bo_1d(ji) + qcn_ice_1d(ji) ) |
---|
[12475] | 772 | ENDIF |
---|
[8984] | 773 | |
---|
| 774 | ENDIF |
---|
[12475] | 775 | |
---|
| 776 | IF (to_print(ji) == 10) THEN |
---|
| 777 | write(numout,*)'after minmax: h_s_1d(ji), jm_min(ji), nlay_s = ',h_s_1d(ji), ' ', jm_min(ji), ' ', nlay_s |
---|
| 778 | ENDIF |
---|
| 779 | |
---|
[8984] | 780 | ! |
---|
| 781 | zindtbis(ji,jm_min(ji)) = zindterm(ji,jm_min(ji)) |
---|
| 782 | zdiagbis(ji,jm_min(ji)) = ztrid (ji,jm_min(ji),2) |
---|
| 783 | ! |
---|
| 784 | END DO |
---|
| 785 | ! |
---|
| 786 | !------------------------------ |
---|
| 787 | ! 8) tridiagonal system solving |
---|
| 788 | !------------------------------ |
---|
| 789 | ! Solve the tridiagonal system with Gauss elimination method. |
---|
| 790 | ! Thomas algorithm, from Computational fluid Dynamics, J.D. ANDERSON, McGraw-Hill 1984 |
---|
| 791 | jm_maxt = 0 |
---|
| 792 | jm_mint = nlay_i+5 |
---|
| 793 | DO ji = 1, npti |
---|
| 794 | jm_mint = MIN(jm_min(ji),jm_mint) |
---|
| 795 | jm_maxt = MAX(jm_max(ji),jm_maxt) |
---|
| 796 | END DO |
---|
| 797 | |
---|
| 798 | DO jk = jm_mint+1, jm_maxt |
---|
| 799 | DO ji = 1, npti |
---|
[12475] | 800 | |
---|
| 801 | |
---|
[8984] | 802 | jm = MIN(MAX(jm_min(ji)+1,jk),jm_max(ji)) |
---|
[12475] | 803 | IF (to_print(ji) == 10) THEN |
---|
| 804 | write(numout,*)'before calc zdiagbis: jk, jm, zdiagbis(ji,jm-1) = ',jk, ' ', jm, ' ', zdiagbis(ji,jm-1) |
---|
| 805 | write(numout,*)'before calc zdiagbis:ztrid(ji,jm,2), ztrid(ji,jm,1), ztrid(ji,jm-1,3) = ', ztrid(ji,jm,2), ' ', ztrid(ji,jm,1), ' ', ztrid(ji,jm-1,3) |
---|
| 806 | ENDIF |
---|
| 807 | |
---|
[8984] | 808 | zdiagbis(ji,jm) = ztrid (ji,jm,2) - ztrid(ji,jm,1) * ztrid (ji,jm-1,3) / zdiagbis(ji,jm-1) |
---|
| 809 | zindtbis(ji,jm) = zindterm(ji,jm) - ztrid(ji,jm,1) * zindtbis(ji,jm-1) / zdiagbis(ji,jm-1) |
---|
| 810 | END DO |
---|
| 811 | END DO |
---|
| 812 | |
---|
| 813 | ! ice temperatures |
---|
[10425] | 814 | DO ji = 1, npti |
---|
| 815 | ! Variable used after iterations |
---|
| 816 | ! Value must be frozen after convergence for MPP independance reason |
---|
| 817 | IF ( .NOT. l_T_converged(ji) ) & |
---|
| 818 | t_i_1d(ji,nlay_i) = zindtbis(ji,jm_max(ji)) / zdiagbis(ji,jm_max(ji)) |
---|
[8984] | 819 | END DO |
---|
| 820 | |
---|
| 821 | DO jm = nlay_i + nlay_s, nlay_s + 2, -1 |
---|
| 822 | DO ji = 1, npti |
---|
[10425] | 823 | IF ( .NOT. l_T_converged(ji) ) THEN |
---|
| 824 | jk = jm - nlay_s - 1 |
---|
| 825 | t_i_1d(ji,jk) = ( zindtbis(ji,jm) - ztrid(ji,jm,3) * t_i_1d(ji,jk+1) ) / zdiagbis(ji,jm) |
---|
| 826 | ENDIF |
---|
[8984] | 827 | END DO |
---|
| 828 | END DO |
---|
| 829 | |
---|
| 830 | ! snow temperatures |
---|
| 831 | DO ji = 1, npti |
---|
[10425] | 832 | ! Variable used after iterations |
---|
| 833 | ! Value must be frozen after convergence for MPP independance reason |
---|
| 834 | IF ( .NOT. l_T_converged(ji) ) THEN |
---|
| 835 | IF( h_s_1d(ji) > 0._wp ) THEN |
---|
| 836 | 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) |
---|
| 837 | ENDIF |
---|
[8984] | 838 | ENDIF |
---|
[12369] | 839 | |
---|
| 840 | IF (to_print(ji) == 10) THEN |
---|
| 841 | 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) |
---|
| 842 | 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) |
---|
[12475] | 843 | write(numout,*)'icethd_zdf_bl99 2: zdiagbis(ji,nlay_s+1), h_s_1d(ji) = ',zdiagbis(ji,nlay_s+1), ' ', h_s_1d(ji) |
---|
[12369] | 844 | END IF |
---|
[8984] | 845 | END DO |
---|
[12369] | 846 | DO ji = 1, npti |
---|
| 847 | IF (to_print(ji) == 10) THEN |
---|
| 848 | 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) |
---|
| 849 | END IF |
---|
| 850 | END DO |
---|
[8984] | 851 | ! |
---|
| 852 | !-------------------------------------------------------------- |
---|
| 853 | ! 9) Has the scheme converged?, end of the iterative procedure |
---|
| 854 | !-------------------------------------------------------------- |
---|
| 855 | ! check that nowhere it has started to melt |
---|
| 856 | ! zdti_max is a measure of error, it has to be under zdti_bnd |
---|
| 857 | |
---|
[10425] | 858 | DO ji = 1, npti |
---|
| 859 | |
---|
| 860 | zdti_max = 0._wp |
---|
| 861 | |
---|
| 862 | IF ( .NOT. l_T_converged(ji) ) THEN |
---|
| 863 | ! t_s |
---|
| 864 | t_s_1d(ji,1:nlay_s) = MAX( MIN( t_s_1d(ji,1:nlay_s), rt0 ), rt0 - 100._wp ) |
---|
| 865 | zdti_max = MAX ( zdti_max , MAXVAL( ABS( t_s_1d(ji,1:nlay_s) - ztsb(ji,1:nlay_s) ) ) ) |
---|
| 866 | ! t_i |
---|
[11081] | 867 | DO jk = 1, nlay_i |
---|
[10425] | 868 | ztmelts = -rTmlt * sz_i_1d(ji,jk) + rt0 |
---|
| 869 | t_i_1d(ji,jk) = MAX( MIN( t_i_1d(ji,jk), ztmelts ), rt0 - 100._wp ) |
---|
| 870 | zdti_max = MAX ( zdti_max, ABS( t_i_1d(ji,jk) - ztib(ji,jk) ) ) |
---|
| 871 | END DO |
---|
| 872 | |
---|
| 873 | IF ( zdti_max < zdti_bnd ) l_T_converged(ji) = .TRUE. |
---|
| 874 | |
---|
| 875 | ENDIF |
---|
| 876 | |
---|
[8984] | 877 | END DO |
---|
| 878 | |
---|
[10534] | 879 | ENDIF ! k_cnd |
---|
[12369] | 880 | |
---|
| 881 | DO ji = 1, npti |
---|
| 882 | IF (iconv == 1 .AND. to_print(ji) == 10) THEN |
---|
| 883 | 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) |
---|
| 884 | 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) |
---|
| 885 | 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) |
---|
| 886 | write(numout,*) 'rhs1 for all = ',zindterm(ji,1),' ',zindterm(ji,2),' ',zindterm(ji,3),' ',zindterm(ji,4),' ',zindterm(ji,5),' ',zindterm(ji,6) |
---|
| 887 | 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 |
---|
| 888 | END IF |
---|
| 889 | END DO |
---|
[8984] | 890 | |
---|
| 891 | END DO ! End of the do while iterative procedure |
---|
[12369] | 892 | |
---|
| 893 | DO ji = 1, npti |
---|
| 894 | IF (to_print(ji) == 10) THEN |
---|
| 895 | 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) |
---|
| 896 | 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) |
---|
| 897 | 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) |
---|
| 898 | write(numout,*) 'rhs2 for all = ',zindterm(ji,1),' ',zindterm(ji,2),' ',zindterm(ji,3),' ',zindterm(ji,4),' ',zindterm(ji,5),' ',zindterm(ji,6) |
---|
| 899 | 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 |
---|
| 900 | write(numout,*) 'number of iterations iconv = ',iconv |
---|
| 901 | END IF |
---|
| 902 | END DO |
---|
| 903 | |
---|
[8984] | 904 | |
---|
| 905 | IF( ln_icectl .AND. lwp ) THEN |
---|
| 906 | WRITE(numout,*) ' zdti_max : ', zdti_max |
---|
| 907 | WRITE(numout,*) ' iconv : ', iconv |
---|
| 908 | ENDIF |
---|
| 909 | |
---|
| 910 | ! |
---|
| 911 | !----------------------------- |
---|
| 912 | ! 10) Fluxes at the interfaces |
---|
| 913 | !----------------------------- |
---|
| 914 | ! |
---|
[9916] | 915 | ! --- calculate conduction fluxes (positive downward) |
---|
[12371] | 916 | ! bottom ice conduction flux |
---|
| 917 | DO ji = 1, npti |
---|
| 918 | qcn_ice_bot_1d(ji) = - zkappa_i(ji,nlay_i) * zg1 * ( t_bo_1d(ji ) - t_i_1d (ji,nlay_i) ) |
---|
[9916] | 919 | |
---|
[12371] | 920 | IF (to_print(ji) == 1) THEN |
---|
| 921 | 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) |
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| 922 | ENDIF |
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[8984] | 923 | END DO |
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[12371] | 924 | ! surface ice conduction flux |
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[10534] | 925 | IF( k_cnd == np_cnd_OFF .OR. k_cnd == np_cnd_EMU ) THEN |
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[8984] | 926 | ! |
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| 927 | DO ji = 1, npti |
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[12371] | 928 | qcn_ice_top_1d(ji) = - isnow(ji) * zkappa_s(ji,0) * zg1s * ( t_s_1d(ji,1) - t_su_1d(ji) ) & |
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| 929 | & - ( 1._wp - isnow(ji) ) * zkappa_i(ji,0) * zg1 * ( t_i_1d(ji,1) - t_su_1d(ji) ) |
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[8984] | 930 | END DO |
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| 931 | ! |
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[10534] | 932 | ELSEIF( k_cnd == np_cnd_ON ) THEN |
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[8984] | 933 | ! |
---|
| 934 | DO ji = 1, npti |
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[12371] | 935 | qcn_ice_top_1d(ji) = qcn_ice_1d(ji) |
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[12374] | 936 | END DO |
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| 937 | ! |
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| 938 | ENDIF |
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| 939 | ! surface ice temperature |
---|
| 940 | IF( k_cnd == np_cnd_ON .AND. ln_cndemulate ) THEN |
---|
| 941 | ! |
---|
| 942 | DO ji = 1, npti |
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[12371] | 943 | t_su_1d(ji) = ( qcn_ice_top_1d(ji) & ! calculate surface temperature |
---|
| 944 | & + isnow(ji) * zkappa_s(ji,0) * zg1s * t_s_1d(ji,1) & |
---|
| 945 | & + ( 1._wp - isnow(ji) ) * zkappa_i(ji,0) * zg1 * t_i_1d(ji,1) & |
---|
| 946 | & ) / MAX( epsi10, isnow(ji) * zkappa_s(ji,0) * zg1s + ( 1._wp - isnow(ji) ) * zkappa_i(ji,0) * zg1 ) |
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| 947 | t_su_1d(ji) = MAX( MIN( t_su_1d(ji), rt0 ), rt0 - 100._wp ) ! cap t_su |
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[8984] | 948 | END DO |
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| 949 | ! |
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| 950 | ENDIF |
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[12371] | 951 | ! |
---|
| 952 | ! --- Diagnose the heat loss due to changing non-solar / conduction flux --- ! |
---|
| 953 | ! |
---|
| 954 | IF( k_cnd == np_cnd_OFF .OR. k_cnd == np_cnd_EMU ) THEN |
---|
| 955 | ! |
---|
| 956 | DO ji = 1, npti |
---|
| 957 | 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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| 958 | END DO |
---|
| 959 | ! |
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| 960 | ENDIF |
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[8984] | 961 | |
---|
| 962 | ! |
---|
| 963 | ! --- Diagnose the heat loss due to non-fully converged temperature solution (should not be above 10-4 W-m2) --- ! |
---|
| 964 | ! |
---|
[10534] | 965 | IF( k_cnd == np_cnd_OFF .OR. k_cnd == np_cnd_ON ) THEN |
---|
[12369] | 966 | |
---|
| 967 | DO ji = 1, npti |
---|
| 968 | IF (to_print(ji) == 10) THEN |
---|
| 969 | 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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| 970 | END IF |
---|
| 971 | END DO |
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[8984] | 972 | |
---|
[12369] | 973 | CALL ice_var_enthalpy |
---|
| 974 | |
---|
| 975 | DO ji = 1, npti |
---|
| 976 | IF (to_print(ji) == 10) THEN |
---|
| 977 | 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) |
---|
| 978 | END IF |
---|
| 979 | END DO |
---|
[8984] | 980 | |
---|
| 981 | ! zhfx_err = correction on the diagnosed heat flux due to non-convergence of the algorithm used to solve heat equation |
---|
| 982 | DO ji = 1, npti |
---|
| 983 | zdq = - zq_ini(ji) + ( SUM( e_i_1d(ji,1:nlay_i) ) * h_i_1d(ji) * r1_nlay_i + & |
---|
| 984 | & SUM( e_s_1d(ji,1:nlay_s) ) * h_s_1d(ji) * r1_nlay_s ) |
---|
| 985 | |
---|
[10534] | 986 | IF( k_cnd == np_cnd_OFF ) THEN |
---|
[8984] | 987 | |
---|
| 988 | IF( t_su_1d(ji) < rt0 ) THEN ! case T_su < 0degC |
---|
[9916] | 989 | zhfx_err = ( qns_ice_1d(ji) + qsr_ice_1d(ji) - zradtr_i(ji,nlay_i) - qcn_ice_bot_1d(ji) & |
---|
| 990 | & + zdq * r1_rdtice ) * a_i_1d(ji) |
---|
[8984] | 991 | ELSE ! case T_su = 0degC |
---|
[9916] | 992 | zhfx_err = ( qcn_ice_top_1d(ji) + qtr_ice_top_1d(ji) - zradtr_i(ji,nlay_i) - qcn_ice_bot_1d(ji) & |
---|
| 993 | & + zdq * r1_rdtice ) * a_i_1d(ji) |
---|
[8984] | 994 | ENDIF |
---|
| 995 | |
---|
[10534] | 996 | ELSEIF( k_cnd == np_cnd_ON ) THEN |
---|
[8984] | 997 | |
---|
[9916] | 998 | zhfx_err = ( qcn_ice_top_1d(ji) + qtr_ice_top_1d(ji) - zradtr_i(ji,nlay_i) - qcn_ice_bot_1d(ji) & |
---|
| 999 | & + zdq * r1_rdtice ) * a_i_1d(ji) |
---|
[8984] | 1000 | |
---|
| 1001 | ENDIF |
---|
| 1002 | ! |
---|
| 1003 | ! total heat sink to be sent to the ocean |
---|
| 1004 | hfx_err_dif_1d(ji) = hfx_err_dif_1d(ji) + zhfx_err |
---|
| 1005 | ! |
---|
| 1006 | ! hfx_dif = Heat flux diagnostic of sensible heat used to warm/cool ice in W.m-2 |
---|
| 1007 | hfx_dif_1d(ji) = hfx_dif_1d(ji) - zdq * r1_rdtice * a_i_1d(ji) |
---|
[12369] | 1008 | |
---|
| 1009 | IF (to_print(ji) == 10) THEN |
---|
| 1010 | write(numout,*)'icethd_zdf_bl99: qcn_ice_top_1d(ji) = ',qcn_ice_top_1d(ji) |
---|
| 1011 | write(numout,*)'icethd_zdf_bl99: qcn_ice_1d(ji) = ',qcn_ice_1d(ji) |
---|
| 1012 | write(numout,*)'icethd_zdf_bl99: hfx_err_dif_1d(ji) = ', hfx_err_dif_1d(ji) |
---|
| 1013 | write(numout,*)'icethd_zdf_bl99: hfx_dif_1d(ji) = ',hfx_dif_1d(ji) |
---|
| 1014 | ENDIF |
---|
| 1015 | |
---|
[8984] | 1016 | ! |
---|
| 1017 | END DO |
---|
| 1018 | ! |
---|
| 1019 | ENDIF |
---|
| 1020 | ! |
---|
[10534] | 1021 | !-------------------------------------------------------------------- |
---|
| 1022 | ! 11) reset inner snow and ice temperatures, update conduction fluxes |
---|
| 1023 | !-------------------------------------------------------------------- |
---|
[8984] | 1024 | ! effective conductivity and 1st layer temperature (needed by Met Office) |
---|
| 1025 | DO ji = 1, npti |
---|
[12371] | 1026 | IF( h_i_1d(ji) > 0.1_wp ) THEN |
---|
| 1027 | cnd_ice_1d(ji) = 2._wp * zkappa_i(ji,0) |
---|
[8984] | 1028 | ELSE |
---|
[12371] | 1029 | cnd_ice_1d(ji) = 2._wp * ztcond_i(ji,0) * 10._wp |
---|
[8984] | 1030 | ENDIF |
---|
| 1031 | t1_ice_1d(ji) = isnow(ji) * t_s_1d(ji,1) + ( 1._wp - isnow(ji) ) * t_i_1d(ji,1) |
---|
[12369] | 1032 | |
---|
| 1033 | IF (to_print(ji) == 10) THEN |
---|
| 1034 | 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) |
---|
| 1035 | 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) |
---|
| 1036 | 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) |
---|
| 1037 | ENDIF |
---|
[8984] | 1038 | END DO |
---|
| 1039 | ! |
---|
[10534] | 1040 | IF( k_cnd == np_cnd_EMU ) THEN |
---|
[8984] | 1041 | ! Restore temperatures to their initial values |
---|
[9916] | 1042 | t_s_1d (1:npti,:) = ztsold (1:npti,:) |
---|
| 1043 | t_i_1d (1:npti,:) = ztiold (1:npti,:) |
---|
| 1044 | qcn_ice_1d(1:npti) = qcn_ice_top_1d(1:npti) |
---|
[11081] | 1045 | |
---|
| 1046 | !!clem |
---|
| 1047 | ! remettre t_su_1d, qns_ice_1d et dqns_ice_1d comme avant puisqu'on devrait faire comme si on avant conduction = input |
---|
| 1048 | !clem |
---|
[8984] | 1049 | ENDIF |
---|
| 1050 | ! |
---|
[9916] | 1051 | ! --- SIMIP diagnostics |
---|
| 1052 | ! |
---|
| 1053 | DO ji = 1, npti |
---|
| 1054 | !--- Snow-ice interfacial temperature (diagnostic SIMIP) |
---|
| 1055 | zfac = rn_cnd_s * zh_i(ji) + ztcond_i(ji,1) * zh_s(ji) |
---|
| 1056 | IF( h_s_1d(ji) >= zhs_min ) THEN |
---|
| 1057 | t_si_1d(ji) = ( rn_cnd_s * zh_i(ji) * t_s_1d(ji,1) + & |
---|
| 1058 | & ztcond_i(ji,1) * zh_s(ji) * t_i_1d(ji,1) ) / MAX( epsi10, zfac ) |
---|
| 1059 | ELSE |
---|
| 1060 | t_si_1d(ji) = t_su_1d(ji) |
---|
| 1061 | ENDIF |
---|
| 1062 | END DO |
---|
| 1063 | ! |
---|
[8984] | 1064 | END SUBROUTINE ice_thd_zdf_BL99 |
---|
| 1065 | |
---|
| 1066 | #else |
---|
| 1067 | !!---------------------------------------------------------------------- |
---|
[9570] | 1068 | !! Default option Dummy Module No SI3 sea-ice model |
---|
[8984] | 1069 | !!---------------------------------------------------------------------- |
---|
| 1070 | #endif |
---|
| 1071 | |
---|
| 1072 | !!====================================================================== |
---|
| 1073 | END MODULE icethd_zdf_BL99 |
---|