[888] | 1 | MODULE sbcblk_core |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE sbcblk_core *** |
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| 4 | !! Ocean forcing: momentum, heat and freshwater flux formulation |
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| 5 | !!===================================================================== |
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| 6 | !! History : 1.0 ! 04-08 (U. Schweckendiek) Original code |
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| 7 | !! 2.0 ! 05-04 (L. Brodeau, A.M. Treguier) additions: |
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| 8 | !! - new bulk routine for efficiency |
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| 9 | !! - WINDS ARE NOW ASSUMED TO BE AT T POINTS in input files !!!! |
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| 10 | !! - file names and file characteristics in namelist |
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| 11 | !! - Implement reading of 6-hourly fields |
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| 12 | !! 3.0 ! 06-06 (G. Madec) sbc rewritting |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | !! sbc_blk_core : bulk formulation as ocean surface boundary condition |
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| 17 | !! (forced mode, CORE bulk formulea) |
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| 18 | !! blk_oce_core : ocean: computes momentum, heat and freshwater fluxes |
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| 19 | !! blk_ice_core : ice : computes momentum, heat and freshwater fluxes |
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| 20 | !! turb_core : computes the CORE turbulent transfer coefficients |
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| 21 | !!---------------------------------------------------------------------- |
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| 22 | USE oce ! ocean dynamics and tracers |
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| 23 | USE dom_oce ! ocean space and time domain |
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| 24 | USE phycst ! physical constants |
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| 25 | USE daymod ! calendar |
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| 26 | USE fldread ! read input fields |
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| 27 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 28 | USE iom ! I/O manager library |
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| 29 | USE in_out_manager ! I/O manager |
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| 30 | USE lib_mpp ! distribued memory computing library |
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| 31 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 32 | USE prtctl ! Print control |
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[905] | 33 | #if defined key_lim3 |
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| 34 | USE ice_oce ! For ice surface temperature |
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| 35 | #endif |
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[888] | 36 | |
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[905] | 37 | |
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[888] | 38 | IMPLICIT NONE |
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| 39 | PRIVATE |
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| 40 | |
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| 41 | PUBLIC sbc_blk_core ! routine called in sbcmod module |
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| 42 | PUBLIC blk_ice_core ! routine called in sbc_ice_lim module |
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| 43 | |
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| 44 | INTEGER , PARAMETER :: jpfld = 8 ! maximum number of files to read |
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| 45 | INTEGER , PARAMETER :: jp_wndi = 1 ! index of 10m wind velocity (i-component) (m/s) at T-point |
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| 46 | INTEGER , PARAMETER :: jp_wndj = 2 ! index of 10m wind velocity (j-component) (m/s) at T-point |
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| 47 | INTEGER , PARAMETER :: jp_humi = 3 ! index of specific humidity ( % ) |
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| 48 | INTEGER , PARAMETER :: jp_qsr = 4 ! index of solar heat (W/m2) |
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| 49 | INTEGER , PARAMETER :: jp_qlw = 5 ! index of Long wave (W/m2) |
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| 50 | INTEGER , PARAMETER :: jp_tair = 6 ! index of 10m air temperature (Kelvin) |
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| 51 | INTEGER , PARAMETER :: jp_prec = 7 ! index of total precipitation (rain+snow) (Kg/m2/s) |
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| 52 | INTEGER , PARAMETER :: jp_snow = 8 ! index of snow (solid prcipitation) (kg/m2/s) |
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| 53 | TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf ! structure of input fields (file informations, fields read) |
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| 54 | |
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| 55 | !! * CORE bulk parameters |
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| 56 | REAL(wp), PARAMETER :: rhoa = 1.22 ! air density |
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| 57 | REAL(wp), PARAMETER :: cpa = 1000.5 ! specific heat of air |
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| 58 | REAL(wp), PARAMETER :: Lv = 2.5e6 ! latent heat of vaporization |
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| 59 | REAL(wp), PARAMETER :: Ls = 2.839e6 ! latent heat of sublimation |
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| 60 | REAL(wp), PARAMETER :: Stef = 5.67e-8 ! Stefan Boltzmann constant |
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| 61 | REAL(wp), PARAMETER :: Cice = 1.63e-3 ! transfer coefficient over ice |
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| 62 | |
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| 63 | LOGICAL :: ln_2m = .FALSE. !: logical flag for height of air temp. and hum |
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| 64 | REAL(wp) :: alpha_precip=1. !: multiplication factor for precipitation |
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| 65 | |
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| 66 | !! * Substitutions |
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| 67 | # include "domzgr_substitute.h90" |
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| 68 | # include "vectopt_loop_substitute.h90" |
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| 69 | !!---------------------------------------------------------------------- |
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| 70 | !! OPA 9.0 , LOCEAN-IPSL (2006) |
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[1156] | 71 | !! $Id$ |
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[888] | 72 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 73 | !!---------------------------------------------------------------------- |
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| 74 | |
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| 75 | CONTAINS |
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| 76 | |
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| 77 | SUBROUTINE sbc_blk_core( kt ) |
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| 78 | !!--------------------------------------------------------------------- |
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| 79 | !! *** ROUTINE sbc_blk_core *** |
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| 80 | !! |
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| 81 | !! ** Purpose : provide at each time step the surface ocean fluxes |
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| 82 | !! (momentum, heat, freshwater and runoff) |
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| 83 | !! |
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| 84 | !! ** Method : READ each fluxes in NetCDF files |
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| 85 | !! The i-component of the stress utau (N/m2) |
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| 86 | !! The j-component of the stress vtau (N/m2) |
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| 87 | !! the net downward heat flux qtot (watt/m2) |
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| 88 | !! the net downward radiative flux qsr (watt/m2) |
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| 89 | !! the net upward water (evapo - precip) emp (kg/m2/s) |
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| 90 | !! Assumptions made: |
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| 91 | !! - each file content an entire year (read record, not the time axis) |
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| 92 | !! - first and last record are part of the previous and next year |
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| 93 | !! (useful for time interpolation) |
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| 94 | !! - the number of records is 2 + 365*24 / freqh(jf) |
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| 95 | !! or 366 in leap year case |
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| 96 | !! |
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| 97 | !! C A U T I O N : never mask the surface stress fields |
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| 98 | !! the stress is assumed to be in the mesh referential |
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| 99 | !! i.e. the (i,j) referential |
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| 100 | !! |
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| 101 | !! ** Action : defined at each time-step at the air-sea interface |
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| 102 | !! - utau & vtau : stress components in geographical ref. |
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| 103 | !! - qns & qsr : non solar and solar heat fluxes |
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| 104 | !! - emp : evap - precip (volume flux) |
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| 105 | !! - emps : evap - precip (concentration/dillution) |
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| 106 | !!---------------------------------------------------------------------- |
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| 107 | INTEGER, INTENT( in ) :: kt ! ocean time step |
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| 108 | !! |
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| 109 | INTEGER :: ierror ! return error code |
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| 110 | !! |
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| 111 | CHARACTER(len=100) :: cn_dir ! Root directory for location of core files |
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| 112 | TYPE(FLD_N), DIMENSION(jpfld) :: slf_i ! array of namelist informations on the fields to read |
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| 113 | TYPE(FLD_N) :: sn_wndi, sn_wndj, sn_humi, sn_qsr ! informations about the fields to be read |
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| 114 | TYPE(FLD_N) :: sn_qlw , sn_tair, sn_prec, sn_snow ! " " |
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| 115 | NAMELIST/namsbc_core/ cn_dir, ln_2m, alpha_precip, sn_wndi, sn_wndj, sn_humi, sn_qsr, & |
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| 116 | & sn_qlw , sn_tair, sn_prec, sn_snow |
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| 117 | !!--------------------------------------------------------------------- |
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| 118 | |
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| 119 | ! ! ====================== ! |
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| 120 | IF( kt == nit000 ) THEN ! First call kt=nit000 ! |
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| 121 | ! ! ====================== ! |
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| 122 | ! set file information (default values) |
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| 123 | cn_dir = './' ! directory in which the model is executed |
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| 124 | |
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| 125 | ! (NB: frequency positive => hours, negative => months) |
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[1133] | 126 | ! ! file ! frequency ! variable ! time intep ! clim ! 'yearly' or ! |
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| 127 | ! ! name ! (hours) ! name ! (T/F) ! (T/F) ! 'monthly' ! |
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| 128 | sn_wndi = FLD_N( 'uwnd10m' , 24. , 'u_10' , .false. , .false. , 'yearly' ) |
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| 129 | sn_wndj = FLD_N( 'vwnd10m' , 24. , 'v_10' , .false. , .false. , 'yearly' ) |
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| 130 | sn_qsr = FLD_N( 'qsw' , 24. , 'qsw' , .false. , .false. , 'yearly' ) |
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| 131 | sn_qlw = FLD_N( 'qlw' , 24. , 'qlw' , .false. , .false. , 'yearly' ) |
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| 132 | sn_tair = FLD_N( 'tair10m' , 24. , 't_10' , .false. , .false. , 'yearly' ) |
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| 133 | sn_humi = FLD_N( 'humi10m' , 24. , 'q_10' , .false. , .false. , 'yearly' ) |
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| 134 | sn_prec = FLD_N( 'precip' , -1. , 'precip' , .true. , .false. , 'yearly' ) |
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| 135 | sn_snow = FLD_N( 'snow' , -1. , 'snow' , .true. , .false. , 'yearly' ) |
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[888] | 136 | |
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| 137 | REWIND( numnam ) ! ... read in namlist namsbc_core |
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| 138 | READ ( numnam, namsbc_core ) |
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| 139 | |
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| 140 | ! store namelist information in an array |
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| 141 | slf_i(jp_wndi) = sn_wndi ; slf_i(jp_wndj) = sn_wndj |
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| 142 | slf_i(jp_qsr ) = sn_qsr ; slf_i(jp_qlw ) = sn_qlw |
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| 143 | slf_i(jp_tair) = sn_tair ; slf_i(jp_humi) = sn_humi |
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| 144 | slf_i(jp_prec) = sn_prec ; slf_i(jp_snow) = sn_snow |
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| 145 | |
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| 146 | ! set sf structure |
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| 147 | ALLOCATE( sf(jpfld), STAT=ierror ) |
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| 148 | IF( ierror > 0 ) THEN |
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| 149 | CALL ctl_stop( 'sbc_blk_core: unable to allocate sf structure' ) ; RETURN |
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| 150 | ENDIF |
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| 151 | |
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[1133] | 152 | ! fill sf with slf_i and control print |
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| 153 | CALL fld_fill( sf, slf_i, cn_dir, 'sbc_blk_core', 'flux formulattion for ocean surface boundary condition', 'namsbc_core' ) |
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[888] | 154 | ! |
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| 155 | ENDIF |
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| 156 | |
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| 157 | |
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| 158 | CALL fld_read( kt, nn_fsbc, sf ) ! input fields provided at the current time-step |
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| 159 | |
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[905] | 160 | #if defined key_lim3 |
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| 161 | tatm_ice(:,:) = sf(jp_tair)%fnow(:,:) |
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| 162 | #endif |
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| 163 | |
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[888] | 164 | IF( MOD( kt - 1, nn_fsbc ) == 0 ) THEN |
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| 165 | CALL blk_oce_core( sst_m, ssu_m, ssv_m ) ! compute the surface ocean fluxes using CLIO bulk formulea |
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| 166 | ENDIF |
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| 167 | ! ! using CORE bulk formulea |
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| 168 | END SUBROUTINE sbc_blk_core |
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| 169 | |
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| 170 | |
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| 171 | SUBROUTINE blk_oce_core( pst, pu, pv ) |
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| 172 | !!--------------------------------------------------------------------- |
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| 173 | !! *** ROUTINE blk_core *** |
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| 174 | !! |
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| 175 | !! ** Purpose : provide the momentum, heat and freshwater fluxes at |
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| 176 | !! the ocean surface at each time step |
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| 177 | !! |
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| 178 | !! ** Method : CORE bulk formulea for the ocean using atmospheric |
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| 179 | !! fields read in sbc_read |
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| 180 | !! |
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| 181 | !! ** Outputs : - utau : i-component of the stress at U-point (N/m2) |
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| 182 | !! - vtau : j-component of the stress at V-point (N/m2) |
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| 183 | !! - qsr : Solar heat flux over the ocean (W/m2) |
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| 184 | !! - qns : Non Solar heat flux over the ocean (W/m2) |
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| 185 | !! - evap : Evaporation over the ocean (kg/m2/s) |
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| 186 | !! - tprecip : Total precipitation (Kg/m2/s) |
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| 187 | !! - sprecip : Solid precipitation (Kg/m2/s) |
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| 188 | !!--------------------------------------------------------------------- |
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| 189 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj) :: pst ! surface temperature [Celcius] |
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| 190 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj) :: pu ! surface current at U-point (i-component) [m/s] |
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| 191 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj) :: pv ! surface current at V-point (j-component) [m/s] |
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| 192 | |
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| 193 | INTEGER :: ji, jj ! dummy loop indices |
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| 194 | REAL(wp) :: zcoef_qsatw |
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| 195 | REAL(wp), DIMENSION(jpi,jpj) :: zwnd_i, zwnd_j ! wind speed components at T-point |
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| 196 | REAL(wp), DIMENSION(jpi,jpj) :: zqsatw ! specific humidity at pst |
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| 197 | REAL(wp), DIMENSION(jpi,jpj) :: zqlw, zqsb ! long wave and sensible heat fluxes |
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| 198 | REAL(wp), DIMENSION(jpi,jpj) :: zqla, zevap ! latent heat fluxes and evaporation |
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| 199 | REAL(wp), DIMENSION(jpi,jpj) :: Cd ! transfer coefficient for momentum (tau) |
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| 200 | REAL(wp), DIMENSION(jpi,jpj) :: Ch ! transfer coefficient for sensible heat (Q_sens) |
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| 201 | REAL(wp), DIMENSION(jpi,jpj) :: Ce ! tansfert coefficient for evaporation (Q_lat) |
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| 202 | REAL(wp), DIMENSION(jpi,jpj) :: zst ! surface temperature in Kelvin |
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| 203 | REAL(wp), DIMENSION(jpi,jpj) :: zt_zu ! air temperature at wind speed height |
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| 204 | REAL(wp), DIMENSION(jpi,jpj) :: zq_zu ! air spec. hum. at wind speed height |
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| 205 | !!--------------------------------------------------------------------- |
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| 206 | |
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| 207 | ! local scalars ( place there for vector optimisation purposes) |
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| 208 | zcoef_qsatw = 0.98 * 640380. / rhoa |
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| 209 | |
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| 210 | zst(:,:) = pst(:,:) + rt0 ! converte Celcius to Kelvin (and set minimum value far above 0 K) |
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| 211 | |
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| 212 | ! ----------------------------------------------------------------------------- ! |
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| 213 | ! 0 Wind components and module at T-point relative to the moving ocean ! |
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| 214 | ! ----------------------------------------------------------------------------- ! |
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[1000] | 215 | |
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[888] | 216 | ! ... components ( U10m - U_oce ) at T-point (unmasked) |
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| 217 | zwnd_i(:,:) = 0.e0 |
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| 218 | zwnd_j(:,:) = 0.e0 |
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| 219 | #if defined key_vectopt_loop |
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| 220 | !CDIR COLLAPSE |
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| 221 | #endif |
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| 222 | DO jj = 2, jpjm1 |
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| 223 | DO ji = fs_2, fs_jpim1 ! vect. opt. |
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| 224 | zwnd_i(ji,jj) = ( sf(jp_wndi)%fnow(ji,jj) - 0.5 * ( pu(ji-1,jj ) + pu(ji,jj) ) ) |
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| 225 | zwnd_j(ji,jj) = ( sf(jp_wndj)%fnow(ji,jj) - 0.5 * ( pv(ji ,jj-1) + pv(ji,jj) ) ) |
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| 226 | END DO |
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| 227 | END DO |
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| 228 | CALL lbc_lnk( zwnd_i(:,:) , 'T', -1. ) |
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| 229 | CALL lbc_lnk( zwnd_j(:,:) , 'T', -1. ) |
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| 230 | ! ... scalar wind ( = | U10m - U_oce | ) at T-point (masked) |
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| 231 | !CDIR NOVERRCHK |
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| 232 | !CDIR COLLAPSE |
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[1025] | 233 | wndm(:,:) = SQRT( zwnd_i(:,:) * zwnd_i(:,:) & |
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| 234 | & + zwnd_j(:,:) * zwnd_j(:,:) ) * tmask(:,:,1) |
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[888] | 235 | |
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| 236 | ! ----------------------------------------------------------------------------- ! |
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| 237 | ! I Radiative FLUXES ! |
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| 238 | ! ----------------------------------------------------------------------------- ! |
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| 239 | |
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| 240 | ! ocean albedo assumed to be 0.066 |
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| 241 | !CDIR COLLAPSE |
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| 242 | qsr (:,:) = ( 1. - 0.066 ) * sf(jp_qsr)%fnow(:,:) * tmask(:,:,1) ! Short Wave |
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| 243 | !CDIR COLLAPSE |
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| 244 | zqlw(:,:) = ( sf(jp_qlw)%fnow(:,:) - Stef * zst(:,:)*zst(:,:)*zst(:,:)*zst(:,:) ) * tmask(:,:,1) ! Long Wave |
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| 245 | |
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| 246 | ! ----------------------------------------------------------------------------- ! |
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| 247 | ! II Turbulent FLUXES ! |
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| 248 | ! ----------------------------------------------------------------------------- ! |
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| 249 | |
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| 250 | ! ... specific humidity at SST and IST |
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| 251 | !CDIR NOVERRCHK |
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| 252 | !CDIR COLLAPSE |
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| 253 | zqsatw(:,:) = zcoef_qsatw * EXP( -5107.4 / zst(:,:) ) |
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| 254 | |
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| 255 | ! ... NCAR Bulk formulae, computation of Cd, Ch, Ce at T-point : |
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| 256 | IF( ln_2m ) THEN |
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| 257 | !! If air temp. and spec. hum. are given at different height (2m) than wind (10m) : |
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[1025] | 258 | CALL TURB_CORE_2Z(2.,10., zst , sf(jp_tair)%fnow, & |
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| 259 | & zqsatw, sf(jp_humi)%fnow, wndm, & |
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| 260 | & Cd , Ch , Ce , & |
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| 261 | & zt_zu , zq_zu ) |
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[888] | 262 | ELSE |
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| 263 | !! If air temp. and spec. hum. are given at same height than wind (10m) : |
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| 264 | !gm bug? at the compiling phase, add a copy in temporary arrays... ==> check perf |
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[1025] | 265 | ! CALL TURB_CORE_1Z( 10., zst (:,:), sf(jp_tair)%fnow(:,:), & |
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| 266 | ! & zqsatw(:,:), sf(jp_humi)%fnow(:,:), wndm(:,:), & |
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| 267 | ! & Cd (:,:), Ch (:,:), Ce (:,:) ) |
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[888] | 268 | !gm bug |
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[1025] | 269 | CALL TURB_CORE_1Z( 10., zst , sf(jp_tair)%fnow, & |
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| 270 | & zqsatw, sf(jp_humi)%fnow, wndm, & |
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| 271 | & Cd , Ch , Ce ) |
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[888] | 272 | ENDIF |
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| 273 | |
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| 274 | ! ... utau, vtau at U- and V_points, resp. |
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| 275 | ! Note the use of 0.5*(2-umask) in order to unmask the stress along coastlines |
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[1025] | 276 | zwnd_i(:,:) = rhoa * wndm(:,:) * Cd(:,:) * zwnd_i(:,:) |
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| 277 | zwnd_j(:,:) = rhoa * wndm(:,:) * Cd(:,:) * zwnd_j(:,:) |
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[888] | 278 | DO jj = 1, jpjm1 |
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| 279 | DO ji = 1, fs_jpim1 |
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| 280 | utau(ji,jj) = 0.5 * ( 2. - umask(ji,jj,1) ) * ( zwnd_i(ji,jj) + zwnd_i(ji+1,jj ) ) |
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| 281 | vtau(ji,jj) = 0.5 * ( 2. - vmask(ji,jj,1) ) * ( zwnd_j(ji,jj) + zwnd_j(ji ,jj+1) ) |
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| 282 | END DO |
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| 283 | END DO |
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| 284 | CALL lbc_lnk( utau(:,:), 'U', -1. ) |
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| 285 | CALL lbc_lnk( vtau(:,:), 'V', -1. ) |
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| 286 | |
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| 287 | ! Turbulent fluxes over ocean |
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| 288 | ! ----------------------------- |
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| 289 | IF( ln_2m ) THEN |
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| 290 | ! Values of temp. and hum. adjusted to 10m must be used instead of 2m values |
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[1025] | 291 | zevap(:,:) = MAX( 0.e0, rhoa *Ce(:,:)*( zqsatw(:,:) - zq_zu(:,:) ) * wndm(:,:) ) ! Evaporation |
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| 292 | zqsb (:,:) = rhoa*cpa*Ch(:,:)*( zst (:,:) - zt_zu(:,:) ) * wndm(:,:) ! Sensible Heat |
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[888] | 293 | ELSE |
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| 294 | !CDIR COLLAPSE |
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[1025] | 295 | zevap(:,:) = MAX( 0.e0, rhoa *Ce(:,:)*( zqsatw(:,:) - sf(jp_humi)%fnow(:,:) ) * wndm(:,:) ) ! Evaporation |
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[888] | 296 | !CDIR COLLAPSE |
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[1025] | 297 | zqsb (:,:) = rhoa*cpa*Ch(:,:)*( zst (:,:) - sf(jp_tair)%fnow(:,:) ) * wndm(:,:) ! Sensible Heat |
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[888] | 298 | ENDIF |
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| 299 | !CDIR COLLAPSE |
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| 300 | zqla (:,:) = Lv * zevap(:,:) ! Latent Heat |
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| 301 | |
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| 302 | IF(ln_ctl) THEN |
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[1025] | 303 | CALL prt_ctl( tab2d_1=zqla , clinfo1=' blk_oce_core: zqla : ', tab2d_2=Ce , clinfo2=' Ce : ' ) |
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| 304 | CALL prt_ctl( tab2d_1=zqsb , clinfo1=' blk_oce_core: zqsb : ', tab2d_2=Ch , clinfo2=' Ch : ' ) |
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| 305 | CALL prt_ctl( tab2d_1=zqlw , clinfo1=' blk_oce_core: zqlw : ', tab2d_2=qsr, clinfo2=' qsr : ' ) |
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| 306 | CALL prt_ctl( tab2d_1=zqsatw, clinfo1=' blk_oce_core: zqsatw : ', tab2d_2=zst, clinfo2=' zst : ' ) |
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| 307 | CALL prt_ctl( tab2d_1=utau , clinfo1=' blk_oce_core: utau : ', mask1=umask, & |
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| 308 | & tab2d_2=vtau , clinfo2= ' vtau : ' , mask2=vmask ) |
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| 309 | CALL prt_ctl( tab2d_1=wndm , clinfo1=' blk_oce_core: wndm : ') |
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| 310 | CALL prt_ctl( tab2d_1=zst , clinfo1=' blk_oce_core: zst : ') |
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[888] | 311 | ENDIF |
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| 312 | |
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| 313 | ! ----------------------------------------------------------------------------- ! |
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| 314 | ! III Total FLUXES ! |
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| 315 | ! ----------------------------------------------------------------------------- ! |
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| 316 | |
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| 317 | !CDIR COLLAPSE |
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| 318 | qns(:,:) = zqlw(:,:) - zqsb(:,:) - zqla(:,:) ! Downward Non Solar flux |
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| 319 | !CDIR COLLAPSE |
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| 320 | emp (:,:) = zevap(:,:) - sf(jp_prec)%fnow(:,:) * alpha_precip * tmask(:,:,1) |
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| 321 | !CDIR COLLAPSE |
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| 322 | emps(:,:) = zevap(:,:) - sf(jp_prec)%fnow(:,:) * alpha_precip * tmask(:,:,1) |
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| 323 | ! |
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| 324 | END SUBROUTINE blk_oce_core |
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| 325 | |
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| 326 | |
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| 327 | SUBROUTINE blk_ice_core( pst , pui , pvi , palb , & |
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| 328 | & p_taui, p_tauj, p_qns , p_qsr, & |
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| 329 | & p_qla , p_dqns, p_dqla, & |
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| 330 | & p_tpr , p_spr , & |
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| 331 | & p_fr1 , p_fr2 , cd_grid ) |
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| 332 | !!--------------------------------------------------------------------- |
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| 333 | !! *** ROUTINE blk_ice_core *** |
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| 334 | !! |
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| 335 | !! ** Purpose : provide the surface boundary condition over sea-ice |
---|
| 336 | !! |
---|
| 337 | !! ** Method : compute momentum, heat and freshwater exchanged |
---|
| 338 | !! between atmosphere and sea-ice using CORE bulk |
---|
| 339 | !! formulea, ice variables and read atmmospheric fields. |
---|
| 340 | !! NB: ice drag coefficient is assumed to be a constant |
---|
| 341 | !! |
---|
| 342 | !! caution : the net upward water flux has with mm/day unit |
---|
| 343 | !!--------------------------------------------------------------------- |
---|
| 344 | REAL(wp), INTENT(in ), DIMENSION(:,:,:) :: pst ! ice surface temperature (>0, =rt0 over land) [Kelvin] |
---|
| 345 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj) :: pui ! ice surface velocity (i- and i- components [m/s] |
---|
| 346 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj) :: pvi ! at I-point (B-grid) or U & V-point (C-grid) |
---|
| 347 | REAL(wp), INTENT(in ), DIMENSION(:,:,:) :: palb ! ice albedo (clear sky) (alb_ice_cs) [%] |
---|
| 348 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: p_taui ! i- & j-components of surface ice stress [N/m2] |
---|
| 349 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: p_tauj ! at I-point (B-grid) or U & V-point (C-grid) |
---|
| 350 | REAL(wp), INTENT( out), DIMENSION(:,:,:) :: p_qns ! non solar heat flux over ice (T-point) [W/m2] |
---|
| 351 | REAL(wp), INTENT( out), DIMENSION(:,:,:) :: p_qsr ! solar heat flux over ice (T-point) [W/m2] |
---|
| 352 | REAL(wp), INTENT( out), DIMENSION(:,:,:) :: p_qla ! latent heat flux over ice (T-point) [W/m2] |
---|
| 353 | REAL(wp), INTENT( out), DIMENSION(:,:,:) :: p_dqns ! non solar heat sensistivity (T-point) [W/m2] |
---|
| 354 | REAL(wp), INTENT( out), DIMENSION(:,:,:) :: p_dqla ! latent heat sensistivity (T-point) [W/m2] |
---|
| 355 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: p_tpr ! total precipitation (T-point) [Kg/m2/s] |
---|
| 356 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: p_spr ! solid precipitation (T-point) [Kg/m2/s] |
---|
| 357 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: p_fr1 ! 1sr fraction of qsr penetration in ice (T-point) [%] |
---|
| 358 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: p_fr2 ! 2nd fraction of qsr penetration in ice (T-point) [%] |
---|
| 359 | CHARACTER(len=1), INTENT(in ) :: cd_grid ! ice grid ( C or B-grid) |
---|
| 360 | !! |
---|
| 361 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
| 362 | INTEGER :: ijpl ! number of ice categories (size of 3rd dim of input arrays) |
---|
| 363 | REAL(wp) :: zst2, zst3 |
---|
| 364 | REAL(wp) :: zcoef_wnorm, zcoef_wnorm2, zcoef_dqlw, zcoef_dqla, zcoef_dqsb |
---|
| 365 | REAL(wp) :: zcoef_frca ! fractional cloud amount |
---|
| 366 | REAL(wp) :: zwnorm_f, zwndi_f , zwndj_f ! relative wind module and components at F-point |
---|
| 367 | REAL(wp) :: zwndi_t , zwndj_t ! relative wind components at T-point |
---|
| 368 | REAL(wp), DIMENSION(jpi,jpj) :: z_wnds_t ! wind speed ( = | U10m - U_ice | ) at T-point |
---|
| 369 | REAL(wp), DIMENSION(jpi,jpj,SIZE(pst,3)) :: z_qlw ! long wave heat flux over ice |
---|
| 370 | REAL(wp), DIMENSION(jpi,jpj,SIZE(pst,3)) :: z_qsb ! sensible heat flux over ice |
---|
| 371 | REAL(wp), DIMENSION(jpi,jpj,SIZE(pst,3)) :: z_dqlw ! sensible heat flux over ice |
---|
| 372 | REAL(wp), DIMENSION(jpi,jpj,SIZE(pst,3)) :: z_dqsb ! sensible heat flux over ice |
---|
| 373 | !!--------------------------------------------------------------------- |
---|
| 374 | |
---|
| 375 | ijpl = SIZE( pst, 3 ) ! number of ice categories |
---|
| 376 | |
---|
| 377 | ! local scalars ( place there for vector optimisation purposes) |
---|
| 378 | zcoef_wnorm = rhoa * Cice |
---|
| 379 | zcoef_wnorm2 = rhoa * Cice * 0.5 |
---|
| 380 | zcoef_dqlw = 4.0 * 0.95 * Stef |
---|
| 381 | zcoef_dqla = -Ls * Cice * 11637800. * (-5897.8) |
---|
| 382 | zcoef_dqsb = rhoa * cpa * Cice |
---|
| 383 | zcoef_frca = 1.0 - 0.3 |
---|
| 384 | |
---|
| 385 | !!gm brutal.... |
---|
| 386 | z_wnds_t(:,:) = 0.e0 |
---|
| 387 | p_taui (:,:) = 0.e0 |
---|
| 388 | p_tauj (:,:) = 0.e0 |
---|
| 389 | !!gm end |
---|
| 390 | |
---|
| 391 | ! ----------------------------------------------------------------------------- ! |
---|
| 392 | ! Wind components and module relative to the moving ocean ( U10m - U_ice ) ! |
---|
| 393 | ! ----------------------------------------------------------------------------- ! |
---|
| 394 | SELECT CASE( cd_grid ) |
---|
| 395 | CASE( 'B' ) ! B-grid ice dynamics : I-point (i.e. F-point with sea-ice indexation) |
---|
| 396 | ! and scalar wind at T-point ( = | U10m - U_ice | ) (masked) |
---|
| 397 | #if defined key_vectopt_loop |
---|
| 398 | !CDIR COLLAPSE |
---|
| 399 | #endif |
---|
| 400 | !CDIR NOVERRCHK |
---|
| 401 | DO jj = 2, jpjm1 |
---|
| 402 | DO ji = fs_2, fs_jpim1 |
---|
| 403 | ! ... scalar wind at I-point (fld being at T-point) |
---|
| 404 | zwndi_f = 0.25 * ( sf(jp_wndi)%fnow(ji-1,jj ) + sf(jp_wndi)%fnow(ji ,jj ) & |
---|
| 405 | & + sf(jp_wndi)%fnow(ji-1,jj-1) + sf(jp_wndi)%fnow(ji ,jj-1) ) - pui(ji,jj) |
---|
| 406 | zwndj_f = 0.25 * ( sf(jp_wndj)%fnow(ji-1,jj ) + sf(jp_wndj)%fnow(ji ,jj ) & |
---|
| 407 | & + sf(jp_wndj)%fnow(ji-1,jj-1) + sf(jp_wndj)%fnow(ji ,jj-1) ) - pvi(ji,jj) |
---|
| 408 | zwnorm_f = zcoef_wnorm * SQRT( zwndi_f * zwndi_f + zwndj_f * zwndj_f ) |
---|
| 409 | ! ... ice stress at I-point |
---|
| 410 | p_taui(ji,jj) = zwnorm_f * zwndi_f |
---|
| 411 | p_tauj(ji,jj) = zwnorm_f * zwndj_f |
---|
| 412 | ! ... scalar wind at T-point (fld being at T-point) |
---|
| 413 | zwndi_t = sf(jp_wndi)%fnow(ji,jj) - 0.25 * ( pui(ji,jj+1) + pui(ji+1,jj+1) & |
---|
| 414 | & + pui(ji,jj ) + pui(ji+1,jj ) ) |
---|
| 415 | zwndj_t = sf(jp_wndj)%fnow(ji,jj) - 0.25 * ( pvi(ji,jj+1) + pvi(ji+1,jj+1) & |
---|
| 416 | & + pvi(ji,jj ) + pvi(ji+1,jj ) ) |
---|
| 417 | z_wnds_t(ji,jj) = SQRT( zwndi_t * zwndi_t + zwndj_t * zwndj_t ) * tmask(ji,jj,1) |
---|
| 418 | END DO |
---|
| 419 | END DO |
---|
| 420 | CALL lbc_lnk( p_taui , 'I', -1. ) |
---|
| 421 | CALL lbc_lnk( p_tauj , 'I', -1. ) |
---|
| 422 | CALL lbc_lnk( z_wnds_t, 'T', 1. ) |
---|
| 423 | ! |
---|
| 424 | CASE( 'C' ) ! C-grid ice dynamics : U & V-points (same as ocean) |
---|
| 425 | #if defined key_vectopt_loop |
---|
| 426 | !CDIR COLLAPSE |
---|
| 427 | #endif |
---|
| 428 | DO jj = 2, jpj |
---|
| 429 | DO ji = fs_2, jpi ! vect. opt. |
---|
| 430 | zwndi_t = ( sf(jp_wndi)%fnow(ji,jj) - 0.5 * ( pui(ji-1,jj ) + pui(ji,jj) ) ) |
---|
| 431 | zwndj_t = ( sf(jp_wndj)%fnow(ji,jj) - 0.5 * ( pvi(ji ,jj-1) + pvi(ji,jj) ) ) |
---|
| 432 | z_wnds_t(ji,jj) = SQRT( zwndi_t * zwndi_t + zwndj_t * zwndj_t ) * tmask(ji,jj,1) |
---|
| 433 | END DO |
---|
| 434 | END DO |
---|
| 435 | #if defined key_vectopt_loop |
---|
| 436 | !CDIR COLLAPSE |
---|
| 437 | #endif |
---|
| 438 | DO jj = 2, jpjm1 |
---|
| 439 | DO ji = fs_2, fs_jpim1 ! vect. opt. |
---|
| 440 | p_taui(ji,jj) = zcoef_wnorm2 * ( z_wnds_t(ji+1,jj) + z_wnds_t(ji,jj) ) & |
---|
| 441 | & * ( 0.5 * (sf(jp_wndi)%fnow(ji+1,jj) + sf(jp_wndi)%fnow(ji,jj) ) - pui(ji,jj) ) |
---|
| 442 | p_tauj(ji,jj) = zcoef_wnorm2 * ( z_wnds_t(ji,jj+1) + z_wnds_t(ji,jj) ) & |
---|
| 443 | & * ( 0.5 * (sf(jp_wndj)%fnow(ji,jj+1) + sf(jp_wndj)%fnow(ji,jj) ) - pvi(ji,jj) ) |
---|
| 444 | END DO |
---|
| 445 | END DO |
---|
| 446 | CALL lbc_lnk( p_taui , 'U', -1. ) |
---|
| 447 | CALL lbc_lnk( p_tauj , 'V', -1. ) |
---|
| 448 | CALL lbc_lnk( z_wnds_t, 'T', 1. ) |
---|
| 449 | ! |
---|
| 450 | END SELECT |
---|
| 451 | |
---|
| 452 | ! ! ========================== ! |
---|
| 453 | DO jl = 1, ijpl ! Loop over ice categories ! |
---|
| 454 | ! ! ========================== ! |
---|
| 455 | !CDIR NOVERRCHK |
---|
| 456 | !CDIR COLLAPSE |
---|
| 457 | DO jj = 1 , jpj |
---|
| 458 | !CDIR NOVERRCHK |
---|
| 459 | DO ji = 1, jpi |
---|
| 460 | ! ----------------------------! |
---|
| 461 | ! I Radiative FLUXES ! |
---|
| 462 | ! ----------------------------! |
---|
| 463 | zst2 = pst(ji,jj,jl) * pst(ji,jj,jl) |
---|
| 464 | zst3 = pst(ji,jj,jl) * zst2 |
---|
| 465 | ! Short Wave (sw) |
---|
| 466 | p_qsr(ji,jj,jl) = ( 1. - palb(ji,jj,jl) ) * sf(jp_qsr)%fnow(ji,jj) * tmask(ji,jj,1) |
---|
| 467 | ! Long Wave (lw) |
---|
| 468 | z_qlw(ji,jj,jl) = 0.95 * ( sf(jp_qlw)%fnow(ji,jj) & |
---|
| 469 | & - Stef * pst(ji,jj,jl) * zst3 ) * tmask(ji,jj,1) |
---|
| 470 | ! lw sensitivity |
---|
| 471 | z_dqlw(ji,jj,jl) = zcoef_dqlw * zst3 |
---|
| 472 | |
---|
| 473 | ! ----------------------------! |
---|
| 474 | ! II Turbulent FLUXES ! |
---|
| 475 | ! ----------------------------! |
---|
| 476 | |
---|
| 477 | ! ... turbulent heat fluxes |
---|
| 478 | ! Sensible Heat |
---|
| 479 | z_qsb(ji,jj,jl) = rhoa * cpa * Cice * z_wnds_t(ji,jj) * ( pst(ji,jj,jl) - sf(jp_tair)%fnow(ji,jj) ) |
---|
| 480 | ! Latent Heat |
---|
| 481 | p_qla(ji,jj,jl) = MAX( 0.e0, rhoa * Ls * Cice * z_wnds_t(ji,jj) & |
---|
| 482 | & * ( 11637800. * EXP( -5897.8 / pst(ji,jj,jl) ) / rhoa - sf(jp_humi)%fnow(ji,jj) ) ) |
---|
| 483 | ! Latent heat sensitivity for ice (Dqla/Dt) |
---|
| 484 | p_dqla(ji,jj,jl) = zcoef_dqla * z_wnds_t(ji,jj) / ( zst2 ) * EXP( -5897.8 / pst(ji,jj,jl) ) |
---|
| 485 | ! Sensible heat sensitivity (Dqsb_ice/Dtn_ice) |
---|
| 486 | z_dqsb(ji,jj,jl) = zcoef_dqsb * z_wnds_t(ji,jj) |
---|
| 487 | |
---|
| 488 | ! ----------------------------! |
---|
| 489 | ! III Total FLUXES ! |
---|
| 490 | ! ----------------------------! |
---|
| 491 | ! Downward Non Solar flux |
---|
| 492 | p_qns (ji,jj,jl) = z_qlw (ji,jj,jl) - z_qsb (ji,jj,jl) - p_qla (ji,jj,jl) |
---|
| 493 | ! Total non solar heat flux sensitivity for ice |
---|
| 494 | p_dqns(ji,jj,jl) = - ( z_dqlw(ji,jj,jl) + z_dqsb(ji,jj,jl) + p_dqla(ji,jj,jl) ) |
---|
| 495 | END DO |
---|
| 496 | ! |
---|
| 497 | END DO |
---|
| 498 | ! |
---|
| 499 | END DO |
---|
| 500 | ! |
---|
| 501 | !-------------------------------------------------------------------- |
---|
| 502 | ! FRACTIONs of net shortwave radiation which is not absorbed in the |
---|
| 503 | ! thin surface layer and penetrates inside the ice cover |
---|
| 504 | ! ( Maykut and Untersteiner, 1971 ; Ebert and Curry, 1993 ) |
---|
| 505 | |
---|
| 506 | !CDIR COLLAPSE |
---|
| 507 | p_fr1(:,:) = ( 0.18 * ( 1.0 - zcoef_frca ) + 0.35 * zcoef_frca ) |
---|
| 508 | !CDIR COLLAPSE |
---|
| 509 | p_fr2(:,:) = ( 0.82 * ( 1.0 - zcoef_frca ) + 0.65 * zcoef_frca ) |
---|
| 510 | |
---|
| 511 | !CDIR COLLAPSE |
---|
| 512 | p_tpr(:,:) = sf(jp_prec)%fnow(:,:) * alpha_precip ! total precipitation [kg/m2/s] |
---|
| 513 | !CDIR COLLAPSE |
---|
| 514 | p_spr(:,:) = sf(jp_snow)%fnow(:,:) * alpha_precip ! solid precipitation [kg/m2/s] |
---|
| 515 | ! |
---|
| 516 | IF(ln_ctl) THEN |
---|
| 517 | CALL prt_ctl(tab3d_1=p_qla , clinfo1=' blk_ice_core: p_qla : ', tab3d_2=z_qsb , clinfo2=' z_qsb : ', kdim=ijpl) |
---|
| 518 | CALL prt_ctl(tab3d_1=z_qlw , clinfo1=' blk_ice_core: z_qlw : ', tab3d_2=p_dqla , clinfo2=' p_dqla : ', kdim=ijpl) |
---|
| 519 | CALL prt_ctl(tab3d_1=z_dqsb , clinfo1=' blk_ice_core: z_dqsb : ', tab3d_2=z_dqlw , clinfo2=' z_dqlw : ', kdim=ijpl) |
---|
| 520 | CALL prt_ctl(tab3d_1=p_dqns , clinfo1=' blk_ice_core: p_dqns : ', tab3d_2=p_qsr , clinfo2=' p_qsr : ', kdim=ijpl) |
---|
| 521 | CALL prt_ctl(tab3d_1=pst , clinfo1=' blk_ice_core: pst : ', tab3d_2=p_qns , clinfo2=' p_qns : ', kdim=ijpl) |
---|
| 522 | CALL prt_ctl(tab2d_1=p_tpr , clinfo1=' blk_ice_core: p_tpr : ', tab2d_2=p_spr , clinfo2=' p_spr : ') |
---|
| 523 | CALL prt_ctl(tab2d_1=p_taui , clinfo1=' blk_ice_core: p_taui : ', tab2d_2=p_tauj , clinfo2=' p_tauj : ') |
---|
| 524 | CALL prt_ctl(tab2d_1=z_wnds_t, clinfo1=' blk_ice_core: z_wnds_t : ') |
---|
| 525 | ENDIF |
---|
| 526 | |
---|
| 527 | END SUBROUTINE blk_ice_core |
---|
| 528 | |
---|
| 529 | |
---|
| 530 | SUBROUTINE TURB_CORE_1Z(zu, sst, T_a, q_sat, q_a, & |
---|
| 531 | & dU, Cd, Ch, Ce ) |
---|
| 532 | !!---------------------------------------------------------------------- |
---|
| 533 | !! *** ROUTINE turb_core *** |
---|
| 534 | !! |
---|
| 535 | !! ** Purpose : Computes turbulent transfert coefficients of surface |
---|
| 536 | !! fluxes according to Large & Yeager (2004) |
---|
| 537 | !! |
---|
| 538 | !! ** Method : I N E R T I A L D I S S I P A T I O N M E T H O D |
---|
| 539 | !! Momentum, Latent and sensible heat exchange coefficients |
---|
| 540 | !! Caution: this procedure should only be used in cases when air |
---|
| 541 | !! temperature (T_air), air specific humidity (q_air) and wind (dU) |
---|
| 542 | !! are provided at the same height 'zzu'! |
---|
| 543 | !! |
---|
| 544 | !! References : |
---|
| 545 | !! Large & Yeager, 2004 : ??? |
---|
| 546 | !! History : |
---|
| 547 | !! ! XX-XX (??? ) Original code |
---|
| 548 | !! 9.0 ! 05-08 (L. Brodeau) Rewriting and optimization |
---|
| 549 | !!---------------------------------------------------------------------- |
---|
| 550 | !! * Arguments |
---|
| 551 | |
---|
| 552 | REAL(wp), INTENT(in) :: zu ! altitude of wind measurement [m] |
---|
| 553 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj) :: & |
---|
| 554 | sst, & ! sea surface temperature [Kelvin] |
---|
| 555 | T_a, & ! potential air temperature [Kelvin] |
---|
| 556 | q_sat, & ! sea surface specific humidity [kg/kg] |
---|
| 557 | q_a, & ! specific air humidity [kg/kg] |
---|
| 558 | dU ! wind module |U(zu)-U(0)| [m/s] |
---|
| 559 | REAL(wp), intent(out), DIMENSION(jpi,jpj) :: & |
---|
| 560 | Cd, & ! transfert coefficient for momentum (tau) |
---|
| 561 | Ch, & ! transfert coefficient for temperature (Q_sens) |
---|
| 562 | Ce ! transfert coefficient for evaporation (Q_lat) |
---|
| 563 | |
---|
| 564 | !! * Local declarations |
---|
| 565 | REAL(wp), DIMENSION(jpi,jpj) :: & |
---|
| 566 | dU10, & ! dU [m/s] |
---|
| 567 | dT, & ! air/sea temperature differeence [K] |
---|
| 568 | dq, & ! air/sea humidity difference [K] |
---|
| 569 | Cd_n10, & ! 10m neutral drag coefficient |
---|
| 570 | Ce_n10, & ! 10m neutral latent coefficient |
---|
| 571 | Ch_n10, & ! 10m neutral sensible coefficient |
---|
| 572 | sqrt_Cd_n10, & ! root square of Cd_n10 |
---|
| 573 | sqrt_Cd, & ! root square of Cd |
---|
| 574 | T_vpot, & ! virtual potential temperature [K] |
---|
| 575 | T_star, & ! turbulent scale of tem. fluct. |
---|
| 576 | q_star, & ! turbulent humidity of temp. fluct. |
---|
| 577 | U_star, & ! turb. scale of velocity fluct. |
---|
| 578 | L, & ! Monin-Obukov length [m] |
---|
| 579 | zeta, & ! stability parameter at height zu |
---|
| 580 | U_n10, & ! neutral wind velocity at 10m [m] |
---|
| 581 | xlogt, xct, zpsi_h, zpsi_m |
---|
| 582 | !! |
---|
| 583 | INTEGER :: j_itt |
---|
| 584 | INTEGER, PARAMETER :: nb_itt = 3 |
---|
| 585 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
| 586 | stab ! 1st guess stability test integer |
---|
| 587 | |
---|
| 588 | REAL(wp), PARAMETER :: & |
---|
| 589 | grav = 9.8, & ! gravity |
---|
| 590 | kappa = 0.4 ! von Karman s constant |
---|
| 591 | |
---|
| 592 | !! * Start |
---|
| 593 | !! Air/sea differences |
---|
| 594 | dU10 = max(0.5, dU) ! we don't want to fall under 0.5 m/s |
---|
| 595 | dT = T_a - sst ! assuming that T_a is allready the potential temp. at zzu |
---|
| 596 | dq = q_a - q_sat |
---|
| 597 | !! |
---|
| 598 | !! Virtual potential temperature |
---|
| 599 | T_vpot = T_a*(1. + 0.608*q_a) |
---|
| 600 | !! |
---|
| 601 | !! Neutral Drag Coefficient |
---|
| 602 | stab = 0.5 + sign(0.5,dT) ! stable : stab = 1 ; unstable : stab = 0 |
---|
| 603 | Cd_n10 = 1E-3 * ( 2.7/dU10 + 0.142 + dU10/13.09 ) ! L & Y eq. (6a) |
---|
| 604 | sqrt_Cd_n10 = sqrt(Cd_n10) |
---|
| 605 | Ce_n10 = 1E-3 * ( 34.6 * sqrt_Cd_n10 ) ! L & Y eq. (6b) |
---|
| 606 | Ch_n10 = 1E-3*sqrt_Cd_n10*(18*stab + 32.7*(1-stab)) ! L & Y eq. (6c), (6d) |
---|
| 607 | !! |
---|
| 608 | !! Initializing transfert coefficients with their first guess neutral equivalents : |
---|
| 609 | Cd = Cd_n10 ; Ce = Ce_n10 ; Ch = Ch_n10 ; sqrt_Cd = sqrt(Cd) |
---|
| 610 | |
---|
| 611 | !! * Now starting iteration loop |
---|
| 612 | DO j_itt=1, nb_itt |
---|
| 613 | !! Turbulent scales : |
---|
| 614 | U_star = sqrt_Cd*dU10 ! L & Y eq. (7a) |
---|
| 615 | T_star = Ch/sqrt_Cd*dT ! L & Y eq. (7b) |
---|
| 616 | q_star = Ce/sqrt_Cd*dq ! L & Y eq. (7c) |
---|
| 617 | |
---|
| 618 | !! Estimate the Monin-Obukov length : |
---|
| 619 | L = (U_star**2)/( kappa*grav*(T_star/T_vpot + q_star/(q_a + 1./0.608)) ) |
---|
| 620 | |
---|
| 621 | !! Stability parameters : |
---|
| 622 | zeta = zu/L ; zeta = sign( min(abs(zeta),10.0), zeta ) |
---|
| 623 | zpsi_h = psi_h(zeta) |
---|
| 624 | zpsi_m = psi_m(zeta) |
---|
| 625 | |
---|
| 626 | !! Shifting the wind speed to 10m and neutral stability : |
---|
| 627 | U_n10 = dU10*1./(1. + sqrt_Cd_n10/kappa*(log(zu/10.) - zpsi_m)) ! L & Y eq. (9a) |
---|
| 628 | |
---|
| 629 | !! Updating the neutral 10m transfer coefficients : |
---|
| 630 | Cd_n10 = 1E-3 * (2.7/U_n10 + 0.142 + U_n10/13.09) ! L & Y eq. (6a) |
---|
| 631 | sqrt_Cd_n10 = sqrt(Cd_n10) |
---|
| 632 | Ce_n10 = 1E-3 * (34.6 * sqrt_Cd_n10) ! L & Y eq. (6b) |
---|
| 633 | stab = 0.5 + sign(0.5,zeta) |
---|
| 634 | Ch_n10 = 1E-3*sqrt_Cd_n10*(18.*stab + 32.7*(1-stab)) ! L & Y eq. (6c), (6d) |
---|
| 635 | |
---|
| 636 | !! Shifting the neutral 10m transfer coefficients to ( zu , zeta ) : |
---|
| 637 | !! |
---|
| 638 | xct = 1. + sqrt_Cd_n10/kappa*(log(zu/10) - zpsi_m) |
---|
| 639 | Cd = Cd_n10/(xct*xct) ; sqrt_Cd = sqrt(Cd) |
---|
| 640 | !! |
---|
| 641 | xlogt = log(zu/10.) - zpsi_h |
---|
| 642 | !! |
---|
| 643 | xct = 1. + Ch_n10*xlogt/kappa/sqrt_Cd_n10 |
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| 644 | Ch = Ch_n10*sqrt_Cd/sqrt_Cd_n10/xct |
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| 645 | !! |
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| 646 | xct = 1. + Ce_n10*xlogt/kappa/sqrt_Cd_n10 |
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| 647 | Ce = Ce_n10*sqrt_Cd/sqrt_Cd_n10/xct |
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| 648 | !! |
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| 649 | END DO |
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| 650 | !! |
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| 651 | END SUBROUTINE TURB_CORE_1Z |
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| 652 | |
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| 653 | |
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| 654 | SUBROUTINE TURB_CORE_2Z(zt, zu, sst, T_zt, q_sat, q_zt, dU, Cd, Ch, Ce, T_zu, q_zu) |
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| 655 | !!---------------------------------------------------------------------- |
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| 656 | !! *** ROUTINE turb_core *** |
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| 657 | !! |
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| 658 | !! ** Purpose : Computes turbulent transfert coefficients of surface |
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| 659 | !! fluxes according to Large & Yeager (2004). |
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| 660 | !! |
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| 661 | !! ** Method : I N E R T I A L D I S S I P A T I O N M E T H O D |
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| 662 | !! Momentum, Latent and sensible heat exchange coefficients |
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| 663 | !! Caution: this procedure should only be used in cases when air |
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| 664 | !! temperature (T_air) and air specific humidity (q_air) are at 2m |
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| 665 | !! whereas wind (dU) is at 10m. |
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| 666 | !! |
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| 667 | !! References : |
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| 668 | !! Large & Yeager, 2004 : ??? |
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| 669 | !! History : |
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| 670 | !! 9.0 ! 06-12 (L. Brodeau) Original code for 2Z |
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| 671 | !!---------------------------------------------------------------------- |
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| 672 | !! * Arguments |
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| 673 | REAL(wp), INTENT(in) :: & |
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| 674 | zt, & ! height for T_zt and q_zt [m] |
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| 675 | zu ! height for dU [m] |
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| 676 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj) :: & |
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| 677 | sst, & ! sea surface temperature [Kelvin] |
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| 678 | T_zt, & ! potential air temperature [Kelvin] |
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| 679 | q_sat, & ! sea surface specific humidity [kg/kg] |
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| 680 | q_zt, & ! specific air humidity [kg/kg] |
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| 681 | dU ! relative wind module |U(zu)-U(0)| [m/s] |
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| 682 | REAL(wp), INTENT(out), DIMENSION(jpi,jpj) :: & |
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| 683 | Cd, & ! transfer coefficient for momentum (tau) |
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| 684 | Ch, & ! transfer coefficient for sensible heat (Q_sens) |
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| 685 | Ce, & ! transfert coefficient for evaporation (Q_lat) |
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| 686 | T_zu, & ! air temp. shifted at zu [K] |
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| 687 | q_zu ! spec. hum. shifted at zu [kg/kg] |
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| 688 | |
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| 689 | !! * Local declarations |
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| 690 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 691 | dU10, & ! dU [m/s] |
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| 692 | dT, & ! air/sea temperature differeence [K] |
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| 693 | dq, & ! air/sea humidity difference [K] |
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| 694 | Cd_n10, & ! 10m neutral drag coefficient |
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| 695 | Ce_n10, & ! 10m neutral latent coefficient |
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| 696 | Ch_n10, & ! 10m neutral sensible coefficient |
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| 697 | sqrt_Cd_n10, & ! root square of Cd_n10 |
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| 698 | sqrt_Cd, & ! root square of Cd |
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| 699 | T_vpot_u, & ! virtual potential temperature [K] |
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| 700 | T_star, & ! turbulent scale of tem. fluct. |
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| 701 | q_star, & ! turbulent humidity of temp. fluct. |
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| 702 | U_star, & ! turb. scale of velocity fluct. |
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| 703 | L, & ! Monin-Obukov length [m] |
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| 704 | zeta_u, & ! stability parameter at height zu |
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| 705 | zeta_t, & ! stability parameter at height zt |
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| 706 | U_n10, & ! neutral wind velocity at 10m [m] |
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| 707 | xlogt, xct, zpsi_hu, zpsi_ht, zpsi_m |
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| 708 | |
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| 709 | INTEGER :: j_itt |
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| 710 | INTEGER, PARAMETER :: nb_itt = 3 ! number of itterations |
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| 711 | INTEGER, DIMENSION(jpi,jpj) :: & |
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| 712 | & stab ! 1st stability test integer |
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| 713 | REAL(wp), PARAMETER :: & |
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| 714 | grav = 9.8, & ! gravity |
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| 715 | kappa = 0.4 ! von Karman's constant |
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| 716 | |
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| 717 | !! * Start |
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| 718 | |
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| 719 | !! Initial air/sea differences |
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| 720 | dU10 = max(0.5, dU) ! we don't want to fall under 0.5 m/s |
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| 721 | dT = T_zt - sst |
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| 722 | dq = q_zt - q_sat |
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| 723 | |
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| 724 | !! Neutral Drag Coefficient : |
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| 725 | stab = 0.5 + sign(0.5,dT) ! stab = 1 if dT > 0 -> STABLE |
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| 726 | Cd_n10 = 1E-3*( 2.7/dU10 + 0.142 + dU10/13.09 ) |
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| 727 | sqrt_Cd_n10 = sqrt(Cd_n10) |
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| 728 | Ce_n10 = 1E-3*( 34.6 * sqrt_Cd_n10 ) |
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| 729 | Ch_n10 = 1E-3*sqrt_Cd_n10*(18*stab + 32.7*(1 - stab)) |
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| 730 | |
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| 731 | !! Initializing transf. coeff. with their first guess neutral equivalents : |
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| 732 | Cd = Cd_n10 ; Ce = Ce_n10 ; Ch = Ch_n10 ; sqrt_Cd = sqrt(Cd) |
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| 733 | |
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| 734 | !! Initializing z_u values with z_t values : |
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| 735 | T_zu = T_zt ; q_zu = q_zt |
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| 736 | |
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| 737 | !! * Now starting iteration loop |
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| 738 | DO j_itt=1, nb_itt |
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| 739 | dT = T_zu - sst ; dq = q_zu - q_sat ! Updating air/sea differences |
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| 740 | T_vpot_u = T_zu*(1. + 0.608*q_zu) ! Updating virtual potential temperature at zu |
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| 741 | U_star = sqrt_Cd*dU10 ! Updating turbulent scales : (L & Y eq. (7)) |
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| 742 | T_star = Ch/sqrt_Cd*dT ! |
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| 743 | q_star = Ce/sqrt_Cd*dq ! |
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| 744 | !! |
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| 745 | L = (U_star*U_star) & ! Estimate the Monin-Obukov length at height zu |
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| 746 | & / (kappa*grav/T_vpot_u*(T_star*(1.+0.608*q_zu) + 0.608*T_zu*q_star)) |
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| 747 | !! Stability parameters : |
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| 748 | zeta_u = zu/L ; zeta_u = sign( min(abs(zeta_u),10.0), zeta_u ) |
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| 749 | zeta_t = zt/L ; zeta_t = sign( min(abs(zeta_t),10.0), zeta_t ) |
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| 750 | zpsi_hu = psi_h(zeta_u) |
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| 751 | zpsi_ht = psi_h(zeta_t) |
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| 752 | zpsi_m = psi_m(zeta_u) |
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| 753 | !! |
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| 754 | !! Shifting the wind speed to 10m and neutral stability : (L & Y eq.(9a)) |
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| 755 | ! U_n10 = dU10/(1. + sqrt_Cd_n10/kappa*(log(zu/10.) - psi_m(zeta_u))) |
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| 756 | U_n10 = dU10/(1. + sqrt_Cd_n10/kappa*(log(zu/10.) - zpsi_m)) |
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| 757 | !! |
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| 758 | !! Shifting temperature and humidity at zu : (L & Y eq. (9b-9c)) |
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| 759 | ! T_zu = T_zt - T_star/kappa*(log(zt/zu) + psi_h(zeta_u) - psi_h(zeta_t)) |
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| 760 | T_zu = T_zt - T_star/kappa*(log(zt/zu) + zpsi_hu - zpsi_ht) |
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| 761 | ! q_zu = q_zt - q_star/kappa*(log(zt/zu) + psi_h(zeta_u) - psi_h(zeta_t)) |
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| 762 | q_zu = q_zt - q_star/kappa*(log(zt/zu) + zpsi_hu - zpsi_ht) |
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| 763 | !! |
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| 764 | !! q_zu cannot have a negative value : forcing 0 |
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| 765 | stab = 0.5 + sign(0.5,q_zu) ; q_zu = stab*q_zu |
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| 766 | !! |
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| 767 | !! Updating the neutral 10m transfer coefficients : |
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| 768 | Cd_n10 = 1E-3 * (2.7/U_n10 + 0.142 + U_n10/13.09) ! L & Y eq. (6a) |
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| 769 | sqrt_Cd_n10 = sqrt(Cd_n10) |
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| 770 | Ce_n10 = 1E-3 * (34.6 * sqrt_Cd_n10) ! L & Y eq. (6b) |
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| 771 | stab = 0.5 + sign(0.5,zeta_u) |
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| 772 | Ch_n10 = 1E-3*sqrt_Cd_n10*(18.*stab + 32.7*(1-stab)) ! L & Y eq. (6c-6d) |
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| 773 | !! |
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| 774 | !! |
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| 775 | !! Shifting the neutral 10m transfer coefficients to (zu,zeta_u) : |
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| 776 | ! xct = 1. + sqrt_Cd_n10/kappa*(log(zu/10.) - psi_m(zeta_u)) |
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| 777 | xct = 1. + sqrt_Cd_n10/kappa*(log(zu/10.) - zpsi_m) |
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| 778 | Cd = Cd_n10/(xct*xct) ; sqrt_Cd = sqrt(Cd) |
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| 779 | !! |
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| 780 | ! xlogt = log(zu/10.) - psi_h(zeta_u) |
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| 781 | xlogt = log(zu/10.) - zpsi_hu |
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| 782 | !! |
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| 783 | xct = 1. + Ch_n10*xlogt/kappa/sqrt_Cd_n10 |
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| 784 | Ch = Ch_n10*sqrt_Cd/sqrt_Cd_n10/xct |
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| 785 | !! |
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| 786 | xct = 1. + Ce_n10*xlogt/kappa/sqrt_Cd_n10 |
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| 787 | Ce = Ce_n10*sqrt_Cd/sqrt_Cd_n10/xct |
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| 788 | !! |
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| 789 | !! |
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| 790 | END DO |
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| 791 | !! |
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| 792 | END SUBROUTINE TURB_CORE_2Z |
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| 793 | |
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| 794 | |
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| 795 | FUNCTION psi_m(zta) !! Psis, L & Y eq. (8c), (8d), (8e) |
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| 796 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: zta |
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| 797 | |
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| 798 | REAL(wp), PARAMETER :: pi = 3.141592653589793_wp |
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| 799 | REAL(wp), DIMENSION(jpi,jpj) :: psi_m |
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| 800 | REAL(wp), DIMENSION(jpi,jpj) :: X2, X, stabit |
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| 801 | X2 = sqrt(abs(1. - 16.*zta)) ; X2 = max(X2 , 1.0) ; X = sqrt(X2) |
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| 802 | stabit = 0.5 + sign(0.5,zta) |
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| 803 | psi_m = -5.*zta*stabit & ! Stable |
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| 804 | & + (1. - stabit)*(2*log((1. + X)/2) + log((1. + X2)/2) - 2*atan(X) + pi/2) ! Unstable |
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| 805 | END FUNCTION psi_m |
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| 806 | |
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| 807 | FUNCTION psi_h(zta) !! Psis, L & Y eq. (8c), (8d), (8e) |
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| 808 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: zta |
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| 809 | |
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| 810 | REAL(wp), DIMENSION(jpi,jpj) :: psi_h |
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| 811 | REAL(wp), DIMENSION(jpi,jpj) :: X2, X, stabit |
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| 812 | X2 = sqrt(abs(1. - 16.*zta)) ; X2 = max(X2 , 1.) ; X = sqrt(X2) |
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| 813 | stabit = 0.5 + sign(0.5,zta) |
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| 814 | psi_h = -5.*zta*stabit & ! Stable |
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| 815 | & + (1. - stabit)*(2.*log( (1. + X2)/2. )) ! Unstable |
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| 816 | END FUNCTION psi_h |
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| 817 | |
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| 818 | !!====================================================================== |
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| 819 | END MODULE sbcblk_core |
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