| 1 | MODULE ablmod |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE ablmod *** |
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| 4 | !! Surface module : ABL computation to provide atmospheric data |
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| 5 | !! for surface fluxes computation |
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| 6 | !!====================================================================== |
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| 7 | !! History : 3.6 ! 2019-03 (F. Lemarié & G. Samson) Original code |
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| 8 | !!---------------------------------------------------------------------- |
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| 9 | |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! abl_stp : ABL single column model |
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| 12 | !! abl_zdf_tke : atmospheric vertical closure |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | USE abl ! ABL dynamics and tracers |
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| 15 | USE par_abl ! ABL constants |
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| 16 | |
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| 17 | USE phycst ! physical constants |
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| 18 | USE dom_oce, ONLY : tmask |
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| 19 | USE sbc_oce, ONLY : ght_abl, ghw_abl, e3t_abl, e3w_abl, jpka, jpkam1, rhoa |
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| 20 | USE sbcblk, ONLY : rn_efac |
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| 21 | USE sbcblk_phy ! use some physical constants for flux computation |
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| 22 | ! |
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| 23 | USE prtctl ! Print control (prt_ctl routine) |
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| 24 | USE iom ! IOM library |
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| 25 | USE in_out_manager ! I/O manager |
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| 26 | USE lib_mpp ! MPP library |
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| 27 | USE timing ! Timing |
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| 28 | |
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| 29 | IMPLICIT NONE |
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| 30 | |
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| 31 | PUBLIC abl_stp ! called by sbcabl.F90 |
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| 32 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ustar2 |
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| 33 | !! * Substitutions |
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| 34 | # include "do_loop_substitute.h90" |
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| 35 | |
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| 36 | CONTAINS |
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| 37 | |
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| 38 | |
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| 39 | !=================================================================================================== |
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| 40 | SUBROUTINE abl_stp( kt, psst, pssu, pssv, pssq, & ! in |
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| 41 | & pu_dta, pv_dta, pt_dta, pq_dta, & |
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| 42 | & pslp_dta, pgu_dta, pgv_dta, & |
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| 43 | & pcd_du, psen, pevp, & ! in/out |
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| 44 | & pwndm, ptaui, ptauj, ptaum & |
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| 45 | #if defined key_si3 |
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| 46 | & , ptm_su,pssu_ice,pssv_ice,pssq_ice,pcd_du_ice & |
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| 47 | & , psen_ice, pevp_ice, pwndm_ice, pfrac_oce & |
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| 48 | & , ptaui_ice, ptauj_ice & |
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| 49 | #endif |
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| 50 | & ) |
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| 51 | !--------------------------------------------------------------------------------------------------- |
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| 52 | |
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| 53 | !!--------------------------------------------------------------------- |
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| 54 | !! *** ROUTINE abl_stp *** |
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| 55 | !! |
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| 56 | !! ** Purpose : Time-integration of the ABL model |
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| 57 | !! |
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| 58 | !! ** Method : Compute atmospheric variables : vertical turbulence |
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| 59 | !! + Coriolis term + newtonian relaxation |
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| 60 | !! |
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| 61 | !! ** Action : - Advance TKE to time n+1 and compute Avm_abl, Avt_abl, PBLh |
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| 62 | !! - Advance tracers to time n+1 (Euler backward scheme) |
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| 63 | !! - Compute Coriolis term with forward-backward scheme (possibly with geostrophic guide) |
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| 64 | !! - Advance u,v to time n+1 (Euler backward scheme) |
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| 65 | !! - Apply newtonian relaxation on the dynamics and the tracers |
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| 66 | !! - Finalize flux computation in psen, pevp, pwndm, ptaui, ptauj, ptaum |
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| 67 | !! |
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| 68 | !!---------------------------------------------------------------------- |
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| 69 | INTEGER , INTENT(in ) :: kt ! time step index |
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| 70 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: psst ! sea-surface temperature [Celsius] |
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| 71 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: pssu ! sea-surface u (U-point) |
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| 72 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: pssv ! sea-surface v (V-point) |
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| 73 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: pssq ! sea-surface humidity |
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| 74 | REAL(wp) , INTENT(in ), DIMENSION(:,:,:) :: pu_dta ! large-scale windi |
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| 75 | REAL(wp) , INTENT(in ), DIMENSION(:,:,:) :: pv_dta ! large-scale windj |
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| 76 | REAL(wp) , INTENT(in ), DIMENSION(:,:,:) :: pgu_dta ! large-scale hpgi |
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| 77 | REAL(wp) , INTENT(in ), DIMENSION(:,:,:) :: pgv_dta ! large-scale hpgj |
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| 78 | REAL(wp) , INTENT(in ), DIMENSION(:,:,:) :: pt_dta ! large-scale pot. temp. |
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| 79 | REAL(wp) , INTENT(in ), DIMENSION(:,:,:) :: pq_dta ! large-scale humidity |
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| 80 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: pslp_dta ! sea-level pressure |
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| 81 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: pcd_du ! Cd x Du (T-point) |
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| 82 | REAL(wp) , INTENT(inout), DIMENSION(:,: ) :: psen ! Ch x Du |
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| 83 | REAL(wp) , INTENT(inout), DIMENSION(:,: ) :: pevp ! Ce x Du |
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| 84 | REAL(wp) , INTENT(inout), DIMENSION(:,: ) :: pwndm ! ||uwnd|| |
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| 85 | REAL(wp) , INTENT( out), DIMENSION(:,: ) :: ptaui ! taux |
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| 86 | REAL(wp) , INTENT( out), DIMENSION(:,: ) :: ptauj ! tauy |
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| 87 | REAL(wp) , INTENT( out), DIMENSION(:,: ) :: ptaum ! ||tau|| |
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| 88 | ! |
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| 89 | #if defined key_si3 |
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| 90 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: ptm_su ! ice-surface temperature [K] |
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| 91 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: pssu_ice ! ice-surface u (U-point) |
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| 92 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: pssv_ice ! ice-surface v (V-point) |
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| 93 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: pssq_ice ! ice-surface humidity |
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| 94 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: pcd_du_ice ! Cd x Du over ice (T-point) |
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| 95 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: psen_ice ! Ch x Du over ice (T-point) |
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| 96 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: pevp_ice ! Ce x Du over ice (T-point) |
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| 97 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: pwndm_ice ! ||uwnd - uice|| |
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| 98 | !REAL(wp) , INTENT(inout), DIMENSION(:,: ) :: pfrac_oce !!GS: out useless ? |
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| 99 | REAL(wp) , INTENT(in ), DIMENSION(:,: ) :: pfrac_oce ! |
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| 100 | REAL(wp) , INTENT( out), DIMENSION(:,: ) :: ptaui_ice ! ice-surface taux stress (U-point) |
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| 101 | REAL(wp) , INTENT( out), DIMENSION(:,: ) :: ptauj_ice ! ice-surface tauy stress (V-point) |
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| 102 | #endif |
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| 103 | ! |
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| 104 | REAL(wp), DIMENSION(1:jpi,1:jpj ) :: zwnd_i, zwnd_j |
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| 105 | REAL(wp), DIMENSION(1:jpi,2:jpka ) :: zCF |
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| 106 | REAL(wp), DIMENSION(1:jpi,1:jpj,1:jpka) :: z_cft !--FL--to be removed after the test phase |
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| 107 | ! |
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| 108 | REAL(wp), DIMENSION(1:jpi,1:jpka ) :: z_elem_a |
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| 109 | REAL(wp), DIMENSION(1:jpi,1:jpka ) :: z_elem_b |
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| 110 | REAL(wp), DIMENSION(1:jpi,1:jpka ) :: z_elem_c |
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| 111 | ! |
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| 112 | INTEGER :: ji, jj, jk, jtra, jbak ! dummy loop indices |
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| 113 | REAL(wp) :: zztmp, zcff, ztemp, zhumi, zcff1, zztmp1, zztmp2 |
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| 114 | REAL(wp) :: zcff2, zfcor, zmsk, zsig, zcffu, zcffv, zzice,zzoce |
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| 115 | ! |
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| 116 | !!--------------------------------------------------------------------- |
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| 117 | ! |
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| 118 | IF(lwp .AND. kt == nit000) THEN ! control print |
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| 119 | WRITE(numout,*) |
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| 120 | WRITE(numout,*) 'abl_stp : ABL time stepping' |
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| 121 | WRITE(numout,*) '~~~~~~' |
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| 122 | ENDIF |
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| 123 | ! |
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| 124 | IF( kt == nit000 ) ALLOCATE ( ustar2( 1:jpi, 1:jpj ) ) |
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| 125 | !! Compute ustar squared as Cd || Uatm-Uoce ||^2 |
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| 126 | !! needed for surface boundary condition of TKE |
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| 127 | !! pwndm contains | U10m - U_oce | (see blk_oce_1 in sbcblk) |
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| 128 | DO_2D_11_11 |
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| 129 | zzoce = pCd_du (ji,jj) * pwndm (ji,jj) |
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| 130 | #if defined key_si3 |
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| 131 | zzice = pCd_du_ice(ji,jj) * pwndm_ice(ji,jj) |
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| 132 | ustar2(ji,jj) = zzoce * pfrac_oce(ji,jj) + (1._wp - pfrac_oce(ji,jj)) * zzice |
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| 133 | #else |
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| 134 | ustar2(ji,jj) = zzoce |
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| 135 | #endif |
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| 136 | END_2D |
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| 137 | ! |
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| 138 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 139 | ! ! 1 *** Advance TKE to time n+1 and compute Avm_abl, Avt_abl, PBLh |
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| 140 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 141 | |
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| 142 | CALL abl_zdf_tke( ) !--> Avm_abl, Avt_abl, pblh defined on (1,jpi) x (1,jpj) |
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| 143 | |
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| 144 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 145 | ! ! 2 *** Advance tracers to time n+1 |
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| 146 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 147 | |
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| 148 | !------------- |
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| 149 | DO jj = 1, jpj ! outer loop !--> tq_abl computed on (1:jpi) x (1:jpj) |
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| 150 | !------------- |
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| 151 | ! Compute matrix elements for interior points |
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| 152 | DO jk = 3, jpkam1 |
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| 153 | DO ji = 1, jpi ! vector opt. |
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| 154 | z_elem_a( ji, jk ) = - rDt_abl * Avt_abl( ji, jj, jk-1 ) / e3w_abl( jk-1 ) ! lower-diagonal |
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| 155 | z_elem_c( ji, jk ) = - rDt_abl * Avt_abl( ji, jj, jk ) / e3w_abl( jk ) ! upper-diagonal |
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| 156 | z_elem_b( ji, jk ) = e3t_abl(jk) - z_elem_a( ji, jk ) - z_elem_c( ji, jk ) ! diagonal |
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| 157 | END DO |
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| 158 | END DO |
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| 159 | ! Boundary conditions |
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| 160 | DO ji = 1, jpi ! vector opt. |
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| 161 | ! Neumann at the bottom |
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| 162 | z_elem_a( ji, 2 ) = 0._wp |
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| 163 | z_elem_c( ji, 2 ) = - rDt_abl * Avt_abl( ji, jj, 2 ) / e3w_abl( 2 ) |
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| 164 | ! Homogeneous Neumann at the top |
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| 165 | z_elem_a( ji, jpka ) = - rDt_abl * Avt_abl( ji, jj, jpka ) / e3w_abl( jpka ) |
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| 166 | z_elem_c( ji, jpka ) = 0._wp |
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| 167 | z_elem_b( ji, jpka ) = e3t_abl( jpka ) - z_elem_a( ji, jpka ) |
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| 168 | END DO |
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| 169 | |
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| 170 | DO jtra = 1,jptq ! loop on active tracers |
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| 171 | |
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| 172 | DO jk = 3, jpkam1 |
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| 173 | DO ji = 1,jpi |
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| 174 | tq_abl ( ji, jj, jk, nt_a, jtra ) = e3t_abl(jk) * tq_abl ( ji, jj, jk, nt_n, jtra ) ! initialize right-hand-side |
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| 175 | END DO |
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| 176 | END DO |
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| 177 | |
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| 178 | IF(jtra == jp_ta) THEN |
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| 179 | DO ji = 1,jpi ! boundary conditions for temperature |
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| 180 | zztmp1 = psen(ji, jj) |
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| 181 | zztmp2 = psen(ji, jj) * ( psst(ji, jj) + rt0 ) |
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| 182 | #if defined key_si3 |
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| 183 | zztmp1 = zztmp1 * pfrac_oce(ji,jj) + (1._wp - pfrac_oce(ji,jj)) * psen_ice(ji,jj) |
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| 184 | zztmp2 = zztmp2 * pfrac_oce(ji,jj) + (1._wp - pfrac_oce(ji,jj)) * psen_ice(ji,jj) * ptm_su(ji,jj) |
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| 185 | #endif |
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| 186 | z_elem_b( ji, 2 ) = e3t_abl( 2 ) - z_elem_c( ji, 2 ) + rDt_abl * zztmp1 |
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| 187 | tq_abl ( ji, jj, 2 , nt_a, jtra ) = e3t_abl( 2 ) * tq_abl ( ji, jj, 2 , nt_n, jtra ) + rDt_abl * zztmp2 |
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| 188 | tq_abl ( ji, jj, jpka, nt_a, jtra ) = e3t_abl( jpka ) * tq_abl ( ji, jj, jpka, nt_n, jtra ) |
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| 189 | END DO |
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| 190 | ELSE |
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| 191 | DO ji = 1,jpi ! boundary conditions for humidity |
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| 192 | zztmp1 = pevp(ji, jj) |
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| 193 | zztmp2 = pevp(ji, jj) * pssq(ji, jj) |
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| 194 | #if defined key_si3 |
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| 195 | zztmp1 = zztmp1 * pfrac_oce(ji,jj) + (1._wp - pfrac_oce(ji,jj)) * pevp_ice(ji,jj) |
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| 196 | zztmp2 = zztmp2 * pfrac_oce(ji,jj) + (1._wp - pfrac_oce(ji,jj)) * pevp_ice(ji, jj) * pssq_ice(ji, jj) |
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| 197 | #endif |
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| 198 | z_elem_b( ji, 2 ) = e3t_abl( 2 ) - z_elem_c( ji, 2 ) + rDt_abl * zztmp1 |
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| 199 | tq_abl ( ji, jj, 2 , nt_a, jtra ) = e3t_abl( 2 ) * tq_abl ( ji, jj, 2 , nt_n, jtra ) + rDt_abl * zztmp2 |
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| 200 | tq_abl ( ji, jj, jpka, nt_a, jtra ) = e3t_abl( jpka ) * tq_abl ( ji, jj, jpka, nt_n, jtra ) |
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| 201 | END DO |
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| 202 | END IF |
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| 203 | !! |
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| 204 | !! Matrix inversion |
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| 205 | !! ---------------------------------------------------------- |
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| 206 | DO ji = 1,jpi |
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| 207 | zcff = 1._wp / z_elem_b( ji, 2 ) |
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| 208 | zCF (ji, 2 ) = - zcff * z_elem_c( ji, 2 ) |
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| 209 | tq_abl(ji,jj,2,nt_a,jtra) = zcff * tq_abl(ji,jj,2,nt_a,jtra) |
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| 210 | END DO |
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| 211 | |
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| 212 | DO jk = 3, jpka |
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| 213 | DO ji = 1,jpi |
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| 214 | zcff = 1._wp / ( z_elem_b( ji, jk ) + z_elem_a( ji, jk ) * zCF (ji, jk-1 ) ) |
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| 215 | zCF(ji,jk) = - zcff * z_elem_c( ji, jk ) |
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| 216 | tq_abl(ji,jj,jk,nt_a,jtra) = zcff * ( tq_abl(ji,jj,jk ,nt_a,jtra) & |
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| 217 | & - z_elem_a(ji, jk) * tq_abl(ji,jj,jk-1,nt_a,jtra) ) |
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| 218 | END DO |
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| 219 | END DO |
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| 220 | !!FL at this point we could check positivity of tq_abl(:,:,:,nt_a,jp_qa) ... test to do ... |
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| 221 | DO jk = jpkam1,2,-1 |
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| 222 | DO ji = 1,jpi |
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| 223 | tq_abl(ji,jj,jk,nt_a,jtra) = tq_abl(ji,jj,jk,nt_a,jtra) + & |
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| 224 | & zCF(ji,jk) * tq_abl(ji,jj,jk+1,nt_a,jtra) |
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| 225 | END DO |
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| 226 | END DO |
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| 227 | |
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| 228 | END DO !<-- loop on tracers |
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| 229 | !! |
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| 230 | !------------- |
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| 231 | END DO ! end outer loop |
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| 232 | !------------- |
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| 233 | |
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| 234 | |
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| 235 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 236 | ! ! 3 *** Compute Coriolis term with geostrophic guide |
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| 237 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 238 | !------------- |
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| 239 | DO jk = 2, jpka ! outer loop |
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| 240 | !------------- |
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| 241 | ! |
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| 242 | ! Advance u_abl & v_abl to time n+1 |
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| 243 | DO_2D_11_11 |
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| 244 | zcff = ( fft_abl(ji,jj) * rDt_abl )*( fft_abl(ji,jj) * rDt_abl ) ! (f dt)**2 |
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| 245 | |
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| 246 | u_abl( ji, jj, jk, nt_a ) = e3t_abl(jk) *( & |
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| 247 | & (1._wp-gamma_Cor*(1._wp-gamma_Cor)*zcff)*u_abl( ji, jj, jk, nt_n ) & |
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| 248 | & + rDt_abl * fft_abl(ji, jj) * v_abl ( ji , jj , jk, nt_n ) ) & |
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| 249 | & / (1._wp + gamma_Cor*gamma_Cor*zcff) |
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| 250 | |
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| 251 | v_abl( ji, jj, jk, nt_a ) = e3t_abl(jk) *( & |
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| 252 | & (1._wp-gamma_Cor*(1._wp-gamma_Cor)*zcff)*v_abl( ji, jj, jk, nt_n ) & |
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| 253 | & - rDt_abl * fft_abl(ji, jj) * u_abl ( ji , jj, jk, nt_n ) ) & |
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| 254 | & / (1._wp + gamma_Cor*gamma_Cor*zcff) |
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| 255 | END_2D |
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| 256 | ! |
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| 257 | !------------- |
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| 258 | END DO ! end outer loop !<-- u_abl and v_abl are properly updated on (1:jpi) x (1:jpj) |
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| 259 | !------------- |
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| 260 | ! |
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| 261 | IF( ln_geos_winds ) THEN |
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| 262 | DO jj = 1, jpj ! outer loop |
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| 263 | DO jk = 1, jpka |
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| 264 | DO ji = 1, jpi |
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| 265 | u_abl( ji, jj, jk, nt_a ) = u_abl( ji, jj, jk, nt_a ) & |
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| 266 | & - rDt_abl * e3t_abl(jk) * fft_abl(ji , jj) * pgv_dta(ji ,jj ,jk) |
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| 267 | v_abl( ji, jj, jk, nt_a ) = v_abl( ji, jj, jk, nt_a ) & |
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| 268 | & + rDt_abl * e3t_abl(jk) * fft_abl(ji, jj ) * pgu_dta(ji ,jj ,jk) |
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| 269 | END DO |
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| 270 | END DO |
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| 271 | END DO |
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| 272 | END IF |
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| 273 | !------------- |
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| 274 | ! |
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| 275 | IF( ln_hpgls_frc ) THEN |
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| 276 | DO jj = 1, jpj ! outer loop |
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| 277 | DO jk = 1, jpka |
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| 278 | DO ji = 1, jpi |
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| 279 | u_abl( ji, jj, jk, nt_a ) = u_abl( ji, jj, jk, nt_a ) - rDt_abl * e3t_abl(jk) * pgu_dta(ji,jj,jk) |
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| 280 | v_abl( ji, jj, jk, nt_a ) = v_abl( ji, jj, jk, nt_a ) - rDt_abl * e3t_abl(jk) * pgv_dta(ji,jj,jk) |
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| 281 | ENDDO |
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| 282 | ENDDO |
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| 283 | ENDDO |
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| 284 | END IF |
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| 285 | |
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| 286 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 287 | ! ! 4 *** Advance u,v to time n+1 |
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| 288 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 289 | ! |
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| 290 | ! Vertical diffusion for u_abl |
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| 291 | !------------- |
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| 292 | DO jj = 1, jpj ! outer loop |
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| 293 | !------------- |
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| 294 | |
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| 295 | DO jk = 3, jpkam1 |
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| 296 | DO ji = 1, jpi |
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| 297 | z_elem_a( ji, jk ) = - rDt_abl * Avm_abl( ji, jj, jk-1 ) / e3w_abl( jk-1 ) ! lower-diagonal |
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| 298 | z_elem_c( ji, jk ) = - rDt_abl * Avm_abl( ji, jj, jk ) / e3w_abl( jk ) ! upper-diagonal |
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| 299 | z_elem_b( ji, jk ) = e3t_abl(jk) - z_elem_a( ji, jk ) - z_elem_c( ji, jk ) ! diagonal |
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| 300 | END DO |
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| 301 | END DO |
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| 302 | |
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| 303 | DO ji = 2, jpi ! boundary conditions (Avm_abl and pcd_du must be available at ji=jpi) |
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| 304 | !++ Surface boundary condition |
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| 305 | z_elem_a( ji, 2 ) = 0._wp |
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| 306 | z_elem_c( ji, 2 ) = - rDt_abl * Avm_abl( ji, jj, 2 ) / e3w_abl( 2 ) |
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| 307 | ! |
|---|
| 308 | zztmp1 = pcd_du(ji, jj) |
|---|
| 309 | zztmp2 = 0.5_wp * pcd_du(ji, jj) * ( pssu(ji-1, jj) + pssu(ji,jj) ) |
|---|
| 310 | #if defined key_si3 |
|---|
| 311 | zztmp1 = zztmp1 * pfrac_oce(ji,jj) + (1._wp - pfrac_oce(ji,jj)) * pcd_du_ice(ji, jj) |
|---|
| 312 | zzice = 0.5_wp * ( pssu_ice(ji-1, jj) + pssu_ice(ji,jj) ) |
|---|
| 313 | zztmp2 = zztmp2 * pfrac_oce(ji,jj) + (1._wp - pfrac_oce(ji,jj)) * pcd_du_ice(ji, jj) * zzice |
|---|
| 314 | #endif |
|---|
| 315 | z_elem_b( ji, 2 ) = e3t_abl( 2 ) - z_elem_c( ji, 2 ) + rDt_abl * zztmp1 |
|---|
| 316 | u_abl( ji, jj, 2, nt_a ) = u_abl( ji, jj, 2, nt_a ) + rDt_abl * zztmp2 |
|---|
| 317 | |
|---|
| 318 | !++ Top Neumann B.C. |
|---|
| 319 | !z_elem_a( ji, jpka ) = - 0.5_wp * rDt_abl * ( Avm_abl( ji, jj, jpka )+ Avm_abl( ji+1, jj, jpka ) ) / e3w_abl( jpka ) |
|---|
| 320 | !z_elem_c( ji, jpka ) = 0._wp |
|---|
| 321 | !z_elem_b( ji, jpka ) = e3t_abl( jpka ) - z_elem_a( ji, jpka ) |
|---|
| 322 | !++ Top Dirichlet B.C. |
|---|
| 323 | z_elem_a( ji, jpka ) = 0._wp |
|---|
| 324 | z_elem_c( ji, jpka ) = 0._wp |
|---|
| 325 | z_elem_b( ji, jpka ) = e3t_abl( jpka ) |
|---|
| 326 | u_abl ( ji, jj, jpka, nt_a ) = e3t_abl( jpka ) * pu_dta(ji,jj,jk) |
|---|
| 327 | END DO |
|---|
| 328 | !! |
|---|
| 329 | !! Matrix inversion |
|---|
| 330 | !! ---------------------------------------------------------- |
|---|
| 331 | DO ji = 2, jpi |
|---|
| 332 | zcff = 1._wp / z_elem_b( ji, 2 ) |
|---|
| 333 | zCF (ji, 2 ) = - zcff * z_elem_c( ji, 2 ) |
|---|
| 334 | u_abl (ji,jj,2,nt_a) = zcff * u_abl(ji,jj,2,nt_a) |
|---|
| 335 | END DO |
|---|
| 336 | |
|---|
| 337 | DO jk = 3, jpka |
|---|
| 338 | DO ji = 2, jpi |
|---|
| 339 | zcff = 1._wp / ( z_elem_b( ji, jk ) + z_elem_a( ji, jk ) * zCF (ji, jk-1 ) ) |
|---|
| 340 | zCF(ji,jk) = - zcff * z_elem_c( ji, jk ) |
|---|
| 341 | u_abl(ji,jj,jk,nt_a) = zcff * ( u_abl(ji,jj,jk ,nt_a) & |
|---|
| 342 | & - z_elem_a(ji, jk) * u_abl(ji,jj,jk-1,nt_a) ) |
|---|
| 343 | END DO |
|---|
| 344 | END DO |
|---|
| 345 | |
|---|
| 346 | DO jk = jpkam1,2,-1 |
|---|
| 347 | DO ji = 2, jpi |
|---|
| 348 | u_abl(ji,jj,jk,nt_a) = u_abl(ji,jj,jk,nt_a) + zCF(ji,jk) * u_abl(ji,jj,jk+1,nt_a) |
|---|
| 349 | END DO |
|---|
| 350 | END DO |
|---|
| 351 | |
|---|
| 352 | !------------- |
|---|
| 353 | END DO ! end outer loop |
|---|
| 354 | !------------- |
|---|
| 355 | |
|---|
| 356 | ! |
|---|
| 357 | ! Vertical diffusion for v_abl |
|---|
| 358 | !------------- |
|---|
| 359 | DO jj = 2, jpj ! outer loop |
|---|
| 360 | !------------- |
|---|
| 361 | ! |
|---|
| 362 | DO jk = 3, jpkam1 |
|---|
| 363 | DO ji = 1, jpi |
|---|
| 364 | z_elem_a( ji, jk ) = -rDt_abl * Avm_abl( ji, jj, jk-1 ) / e3w_abl( jk-1 ) ! lower-diagonal |
|---|
| 365 | z_elem_c( ji, jk ) = -rDt_abl * Avm_abl( ji, jj, jk ) / e3w_abl( jk ) ! upper-diagonal |
|---|
| 366 | z_elem_b( ji, jk ) = e3t_abl(jk) - z_elem_a( ji, jk ) - z_elem_c( ji, jk ) ! diagonal |
|---|
| 367 | END DO |
|---|
| 368 | END DO |
|---|
| 369 | |
|---|
| 370 | DO ji = 1, jpi ! boundary conditions (Avm_abl and pcd_du must be available at jj=jpj) |
|---|
| 371 | !++ Surface boundary condition |
|---|
| 372 | z_elem_a( ji, 2 ) = 0._wp |
|---|
| 373 | z_elem_c( ji, 2 ) = - rDt_abl * Avm_abl( ji, jj, 2 ) / e3w_abl( 2 ) |
|---|
| 374 | ! |
|---|
| 375 | zztmp1 = pcd_du(ji, jj) |
|---|
| 376 | zztmp2 = 0.5_wp * pcd_du(ji, jj) * ( pssv(ji, jj) + pssv(ji, jj-1) ) |
|---|
| 377 | #if defined key_si3 |
|---|
| 378 | zztmp1 = zztmp1 * pfrac_oce(ji,jj) + (1._wp - pfrac_oce(ji,jj)) * pcd_du_ice(ji, jj) |
|---|
| 379 | zzice = 0.5_wp * ( pssv_ice(ji, jj) + pssv_ice(ji,jj-1) ) |
|---|
| 380 | zztmp2 = zztmp2 * pfrac_oce(ji,jj) + (1._wp - pfrac_oce(ji,jj)) * pcd_du_ice(ji, jj) * zzice |
|---|
| 381 | #endif |
|---|
| 382 | z_elem_b( ji, 2 ) = e3t_abl( 2 ) - z_elem_c( ji, 2 ) + rDt_abl * zztmp1 |
|---|
| 383 | v_abl( ji, jj, 2, nt_a ) = v_abl( ji, jj, 2, nt_a ) + rDt_abl * zztmp2 |
|---|
| 384 | !++ Top Neumann B.C. |
|---|
| 385 | !z_elem_a( ji, jpka ) = -rDt_abl * Avm_abl( ji, jj, jpka ) / e3w_abl( jpka ) |
|---|
| 386 | !z_elem_c( ji, jpka ) = 0._wp |
|---|
| 387 | !z_elem_b( ji, jpka ) = e3t_abl( jpka ) - z_elem_a( ji, jpka ) |
|---|
| 388 | !++ Top Dirichlet B.C. |
|---|
| 389 | z_elem_a( ji, jpka ) = 0._wp |
|---|
| 390 | z_elem_c( ji, jpka ) = 0._wp |
|---|
| 391 | z_elem_b( ji, jpka ) = e3t_abl( jpka ) |
|---|
| 392 | v_abl ( ji, jj, jpka, nt_a ) = e3t_abl( jpka ) * pv_dta(ji,jj,jk) |
|---|
| 393 | END DO |
|---|
| 394 | !! |
|---|
| 395 | !! Matrix inversion |
|---|
| 396 | !! ---------------------------------------------------------- |
|---|
| 397 | DO ji = 1, jpi |
|---|
| 398 | zcff = 1._wp / z_elem_b( ji, 2 ) |
|---|
| 399 | zCF (ji, 2 ) = - zcff * z_elem_c( ji, 2 ) |
|---|
| 400 | v_abl (ji,jj,2,nt_a) = zcff * v_abl ( ji, jj, 2, nt_a ) |
|---|
| 401 | END DO |
|---|
| 402 | |
|---|
| 403 | DO jk = 3, jpka |
|---|
| 404 | DO ji = 1, jpi |
|---|
| 405 | zcff = 1._wp / ( z_elem_b( ji, jk ) + z_elem_a( ji, jk ) * zCF (ji, jk-1 ) ) |
|---|
| 406 | zCF(ji,jk) = - zcff * z_elem_c( ji, jk ) |
|---|
| 407 | v_abl(ji,jj,jk,nt_a) = zcff * ( v_abl(ji,jj,jk ,nt_a) & |
|---|
| 408 | & - z_elem_a(ji, jk) * v_abl(ji,jj,jk-1,nt_a) ) |
|---|
| 409 | END DO |
|---|
| 410 | END DO |
|---|
| 411 | |
|---|
| 412 | DO jk = jpkam1,2,-1 |
|---|
| 413 | DO ji = 1, jpi |
|---|
| 414 | v_abl(ji,jj,jk,nt_a) = v_abl(ji,jj,jk,nt_a) + zCF(ji,jk) * v_abl(ji,jj,jk+1,nt_a) |
|---|
| 415 | END DO |
|---|
| 416 | END DO |
|---|
| 417 | ! |
|---|
| 418 | !------------- |
|---|
| 419 | END DO ! end outer loop |
|---|
| 420 | !------------- |
|---|
| 421 | |
|---|
| 422 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 423 | ! ! 5 *** Apply nudging on the dynamics and the tracers |
|---|
| 424 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 425 | z_cft(:,:,:) = 0._wp |
|---|
| 426 | |
|---|
| 427 | IF( nn_dyn_restore > 0 ) THEN |
|---|
| 428 | !------------- |
|---|
| 429 | DO jk = 2, jpka ! outer loop |
|---|
| 430 | !------------- |
|---|
| 431 | DO_2D_01_01 |
|---|
| 432 | zcff1 = pblh( ji, jj ) |
|---|
| 433 | zsig = ght_abl(jk) / MAX( jp_pblh_min, MIN( jp_pblh_max, zcff1 ) ) |
|---|
| 434 | zsig = MIN( jp_bmax , MAX( zsig, jp_bmin) ) |
|---|
| 435 | zmsk = msk_abl(ji,jj) |
|---|
| 436 | zcff2 = jp_alp3_dyn * zsig**3 + jp_alp2_dyn * zsig**2 & |
|---|
| 437 | & + jp_alp1_dyn * zsig + jp_alp0_dyn |
|---|
| 438 | zcff = (1._wp-zmsk) + zmsk * zcff2 * rn_Dt ! zcff = 1 for masked points |
|---|
| 439 | ! rn_Dt = rDt_abl / nn_fsbc |
|---|
| 440 | zcff = zcff * rest_eq(ji,jj) |
|---|
| 441 | z_cft( ji, jj, jk ) = zcff |
|---|
| 442 | u_abl( ji, jj, jk, nt_a ) = (1._wp - zcff ) * u_abl( ji, jj, jk, nt_a ) & |
|---|
| 443 | & + zcff * pu_dta( ji, jj, jk ) |
|---|
| 444 | v_abl( ji, jj, jk, nt_a ) = (1._wp - zcff ) * v_abl( ji, jj, jk, nt_a ) & |
|---|
| 445 | & + zcff * pv_dta( ji, jj, jk ) |
|---|
| 446 | END_2D |
|---|
| 447 | !------------- |
|---|
| 448 | END DO ! end outer loop |
|---|
| 449 | !------------- |
|---|
| 450 | END IF |
|---|
| 451 | |
|---|
| 452 | !------------- |
|---|
| 453 | DO jk = 2, jpka ! outer loop |
|---|
| 454 | !------------- |
|---|
| 455 | DO_2D_11_11 |
|---|
| 456 | zcff1 = pblh( ji, jj ) |
|---|
| 457 | zsig = ght_abl(jk) / MAX( jp_pblh_min, MIN( jp_pblh_max, zcff1 ) ) |
|---|
| 458 | zsig = MIN( jp_bmax , MAX( zsig, jp_bmin) ) |
|---|
| 459 | zmsk = msk_abl(ji,jj) |
|---|
| 460 | zcff2 = jp_alp3_tra * zsig**3 + jp_alp2_tra * zsig**2 & |
|---|
| 461 | & + jp_alp1_tra * zsig + jp_alp0_tra |
|---|
| 462 | zcff = (1._wp-zmsk) + zmsk * zcff2 * rn_Dt ! zcff = 1 for masked points |
|---|
| 463 | ! rn_Dt = rDt_abl / nn_fsbc |
|---|
| 464 | !z_cft( ji, jj, jk ) = zcff |
|---|
| 465 | tq_abl( ji, jj, jk, nt_a, jp_ta ) = (1._wp - zcff ) * tq_abl( ji, jj, jk, nt_a, jp_ta ) & |
|---|
| 466 | & + zcff * pt_dta( ji, jj, jk ) |
|---|
| 467 | |
|---|
| 468 | tq_abl( ji, jj, jk, nt_a, jp_qa ) = (1._wp - zcff ) * tq_abl( ji, jj, jk, nt_a, jp_qa ) & |
|---|
| 469 | & + zcff * pq_dta( ji, jj, jk ) |
|---|
| 470 | |
|---|
| 471 | END_2D |
|---|
| 472 | !------------- |
|---|
| 473 | END DO ! end outer loop |
|---|
| 474 | !------------- |
|---|
| 475 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 476 | ! ! 6 *** MPI exchanges |
|---|
| 477 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 478 | ! |
|---|
| 479 | CALL lbc_lnk_multi( 'ablmod', u_abl(:,:,:,nt_a ), 'T', -1., v_abl(:,:,:,nt_a ), 'T', -1. ) |
|---|
| 480 | CALL lbc_lnk_multi( 'ablmod', tq_abl(:,:,:,nt_a,jp_ta), 'T', 1., tq_abl(:,:,:,nt_a,jp_qa), 'T', 1., kfillmode = jpfillnothing ) ! ++++ this should not be needed... |
|---|
| 481 | ! |
|---|
| 482 | ! first ABL level |
|---|
| 483 | IF ( iom_use("uz1_abl") ) CALL iom_put ( "uz1_abl", u_abl(:,:,2,nt_a ) ) |
|---|
| 484 | IF ( iom_use("vz1_abl") ) CALL iom_put ( "vz1_abl", v_abl(:,:,2,nt_a ) ) |
|---|
| 485 | IF ( iom_use("tz1_abl") ) CALL iom_put ( "tz1_abl", tq_abl(:,:,2,nt_a,jp_ta) ) |
|---|
| 486 | IF ( iom_use("qz1_abl") ) CALL iom_put ( "qz1_abl", tq_abl(:,:,2,nt_a,jp_qa) ) |
|---|
| 487 | IF ( iom_use("uz1_dta") ) CALL iom_put ( "uz1_dta", pu_dta(:,:,2 ) ) |
|---|
| 488 | IF ( iom_use("vz1_dta") ) CALL iom_put ( "vz1_dta", pv_dta(:,:,2 ) ) |
|---|
| 489 | IF ( iom_use("tz1_dta") ) CALL iom_put ( "tz1_dta", pt_dta(:,:,2 ) ) |
|---|
| 490 | IF ( iom_use("qz1_dta") ) CALL iom_put ( "qz1_dta", pq_dta(:,:,2 ) ) |
|---|
| 491 | ! all ABL levels |
|---|
| 492 | IF ( iom_use("u_abl" ) ) CALL iom_put ( "u_abl" , u_abl(:,:,2:jpka,nt_a ) ) |
|---|
| 493 | IF ( iom_use("v_abl" ) ) CALL iom_put ( "v_abl" , v_abl(:,:,2:jpka,nt_a ) ) |
|---|
| 494 | IF ( iom_use("t_abl" ) ) CALL iom_put ( "t_abl" , tq_abl(:,:,2:jpka,nt_a,jp_ta) ) |
|---|
| 495 | IF ( iom_use("q_abl" ) ) CALL iom_put ( "q_abl" , tq_abl(:,:,2:jpka,nt_a,jp_qa) ) |
|---|
| 496 | IF ( iom_use("tke_abl") ) CALL iom_put ( "tke_abl", tke_abl(:,:,2:jpka,nt_a ) ) |
|---|
| 497 | IF ( iom_use("avm_abl") ) CALL iom_put ( "avm_abl", avm_abl(:,:,2:jpka ) ) |
|---|
| 498 | IF ( iom_use("avt_abl") ) CALL iom_put ( "avt_abl", avm_abl(:,:,2:jpka ) ) |
|---|
| 499 | IF ( iom_use("mxl_abl") ) CALL iom_put ( "mxl_abl", mxl_abl(:,:,2:jpka ) ) |
|---|
| 500 | IF ( iom_use("pblh" ) ) CALL iom_put ( "pblh" , pblh(:,: ) ) |
|---|
| 501 | ! debug (to be removed) |
|---|
| 502 | IF ( iom_use("u_dta") ) CALL iom_put ( "u_dta", pu_dta(:,:,2:jpka) ) |
|---|
| 503 | IF ( iom_use("v_dta") ) CALL iom_put ( "v_dta", pv_dta(:,:,2:jpka) ) |
|---|
| 504 | IF ( iom_use("t_dta") ) CALL iom_put ( "t_dta", pt_dta(:,:,2:jpka) ) |
|---|
| 505 | IF ( iom_use("q_dta") ) CALL iom_put ( "q_dta", pq_dta(:,:,2:jpka) ) |
|---|
| 506 | IF ( iom_use("coeft") ) CALL iom_put ( "coeft", z_cft(:,:,2:jpka) ) |
|---|
| 507 | IF( ln_geos_winds ) THEN |
|---|
| 508 | IF ( iom_use("uz1_geo") ) CALL iom_put ( "uz1_geo", pgu_dta(:,:,2 ) ) |
|---|
| 509 | IF ( iom_use("vz1_geo") ) CALL iom_put ( "vz1_geo", pgv_dta(:,:,2 ) ) |
|---|
| 510 | END IF |
|---|
| 511 | IF( ln_hpgls_frc ) THEN |
|---|
| 512 | IF ( iom_use("uz1_geo") ) CALL iom_put ( "uz1_geo", pgu_dta(:,:,2)/MAX(fft_abl(:,:),2.5e-5_wp) ) |
|---|
| 513 | IF ( iom_use("vz1_geo") ) CALL iom_put ( "vz1_geo", -pgv_dta(:,:,2)/MAX(fft_abl(:,:),2.5e-5_wp) ) |
|---|
| 514 | END IF |
|---|
| 515 | ! |
|---|
| 516 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 517 | ! ! 7 *** Finalize flux computation |
|---|
| 518 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 519 | |
|---|
| 520 | DO_2D_11_11 |
|---|
| 521 | ztemp = tq_abl ( ji, jj, 2, nt_a, jp_ta ) |
|---|
| 522 | zhumi = tq_abl ( ji, jj, 2, nt_a, jp_qa ) |
|---|
| 523 | !zcff = pslp_dta( ji, jj ) / & !<-- At this point ztemp and zhumi should not be zero ... |
|---|
| 524 | ! & ( R_dry*ztemp * ( 1._wp + rctv0*zhumi ) ) |
|---|
| 525 | zcff = rho_air( ztemp, zhumi, pslp_dta( ji, jj ) ) |
|---|
| 526 | psen ( ji, jj ) = cp_air(zhumi) * zcff * psen(ji,jj) * ( psst(ji,jj) + rt0 - ztemp ) |
|---|
| 527 | pevp ( ji, jj ) = rn_efac*MAX( 0._wp, zcff * pevp(ji,jj) * ( pssq(ji,jj) - zhumi ) ) |
|---|
| 528 | rhoa( ji, jj ) = zcff |
|---|
| 529 | END_2D |
|---|
| 530 | |
|---|
| 531 | DO_2D_01_01 |
|---|
| 532 | zwnd_i(ji,jj) = u_abl(ji ,jj,2,nt_a) - 0.5_wp * ( pssu(ji ,jj) + pssu(ji-1,jj) ) |
|---|
| 533 | zwnd_j(ji,jj) = v_abl(ji,jj ,2,nt_a) - 0.5_wp * ( pssv(ji,jj ) + pssv(ji,jj-1) ) |
|---|
| 534 | END_2D |
|---|
| 535 | ! |
|---|
| 536 | CALL lbc_lnk_multi( 'ablmod', zwnd_i(:,:) , 'T', -1., zwnd_j(:,:) , 'T', -1. ) |
|---|
| 537 | ! |
|---|
| 538 | ! ... scalar wind ( = | U10m - U_oce | ) at T-point (masked) |
|---|
| 539 | DO_2D_11_11 |
|---|
| 540 | zcff = SQRT( zwnd_i(ji,jj) * zwnd_i(ji,jj) & |
|---|
| 541 | & + zwnd_j(ji,jj) * zwnd_j(ji,jj) ) ! * msk_abl(ji,jj) |
|---|
| 542 | zztmp = rhoa(ji,jj) * pcd_du(ji,jj) |
|---|
| 543 | |
|---|
| 544 | pwndm (ji,jj) = zcff |
|---|
| 545 | ptaum (ji,jj) = zztmp * zcff |
|---|
| 546 | zwnd_i(ji,jj) = zztmp * zwnd_i(ji,jj) |
|---|
| 547 | zwnd_j(ji,jj) = zztmp * zwnd_j(ji,jj) |
|---|
| 548 | END_2D |
|---|
| 549 | ! ... utau, vtau at U- and V_points, resp. |
|---|
| 550 | ! Note the use of 0.5*(2-umask) in order to unmask the stress along coastlines |
|---|
| 551 | ! Note the use of MAX(tmask(i,j),tmask(i+1,j) is to mask tau over ice shelves |
|---|
| 552 | DO_2D_00_00 |
|---|
| 553 | zcff = 0.5_wp * ( 2._wp - msk_abl(ji,jj)*msk_abl(ji+1,jj) ) |
|---|
| 554 | zztmp = MAX(msk_abl(ji,jj),msk_abl(ji+1,jj)) |
|---|
| 555 | ptaui(ji,jj) = zcff * zztmp * ( zwnd_i(ji,jj) + zwnd_i(ji+1,jj ) ) |
|---|
| 556 | zcff = 0.5_wp * ( 2._wp - msk_abl(ji,jj)*msk_abl(ji,jj+1) ) |
|---|
| 557 | zztmp = MAX(msk_abl(ji,jj),msk_abl(ji,jj+1)) |
|---|
| 558 | ptauj(ji,jj) = zcff * zztmp * ( zwnd_j(ji,jj) + zwnd_j(ji ,jj+1) ) |
|---|
| 559 | END_2D |
|---|
| 560 | ! |
|---|
| 561 | CALL lbc_lnk_multi( 'ablmod', ptaui(:,:), 'U', -1., ptauj(:,:), 'V', -1. ) |
|---|
| 562 | |
|---|
| 563 | CALL iom_put( "taum_oce", ptaum ) |
|---|
| 564 | |
|---|
| 565 | IF(sn_cfctl%l_prtctl) THEN |
|---|
| 566 | CALL prt_ctl( tab2d_1=pwndm , clinfo1=' abl_stp: wndm : ' ) |
|---|
| 567 | CALL prt_ctl( tab2d_1=ptaui , clinfo1=' abl_stp: utau : ' ) |
|---|
| 568 | CALL prt_ctl( tab2d_2=ptauj , clinfo2= 'vtau : ' ) |
|---|
| 569 | ENDIF |
|---|
| 570 | |
|---|
| 571 | #if defined key_si3 |
|---|
| 572 | ! ------------------------------------------------------------ ! |
|---|
| 573 | ! Wind stress relative to the moving ice ( U10m - U_ice ) ! |
|---|
| 574 | ! ------------------------------------------------------------ ! |
|---|
| 575 | DO_2D_00_00 |
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| 576 | ptaui_ice(ji,jj) = 0.5_wp * ( rhoa(ji+1,jj) * pCd_du_ice(ji+1,jj) + rhoa(ji,jj) * pCd_du_ice(ji,jj) ) & |
|---|
| 577 | & * ( 0.5_wp * ( u_abl(ji+1,jj,2,nt_a) + u_abl(ji,jj,2,nt_a) ) - pssu_ice(ji,jj) ) |
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| 578 | ptauj_ice(ji,jj) = 0.5_wp * ( rhoa(ji,jj+1) * pCd_du_ice(ji,jj+1) + rhoa(ji,jj) * pCd_du_ice(ji,jj) ) & |
|---|
| 579 | & * ( 0.5_wp * ( v_abl(ji,jj+1,2,nt_a) + v_abl(ji,jj,2,nt_a) ) - pssv_ice(ji,jj) ) |
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| 580 | END_2D |
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| 581 | CALL lbc_lnk_multi( 'ablmod', ptaui_ice, 'U', -1., ptauj_ice, 'V', -1. ) |
|---|
| 582 | ! |
|---|
| 583 | IF(sn_cfctl%l_prtctl) CALL prt_ctl( tab2d_1=ptaui_ice , clinfo1=' abl_stp: putaui : ' & |
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| 584 | & , tab2d_2=ptauj_ice , clinfo2=' pvtaui : ' ) |
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| 585 | #endif |
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| 586 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 587 | ! ! 8 *** Swap time indices for the next timestep |
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| 588 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 589 | nt_n = 1 + MOD( nt_n, 2) |
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| 590 | nt_a = 1 + MOD( nt_a, 2) |
|---|
| 591 | ! |
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| 592 | !--------------------------------------------------------------------------------------------------- |
|---|
| 593 | END SUBROUTINE abl_stp |
|---|
| 594 | !=================================================================================================== |
|---|
| 595 | |
|---|
| 596 | |
|---|
| 597 | |
|---|
| 598 | |
|---|
| 599 | !=================================================================================================== |
|---|
| 600 | SUBROUTINE abl_zdf_tke( ) |
|---|
| 601 | !--------------------------------------------------------------------------------------------------- |
|---|
| 602 | |
|---|
| 603 | !!---------------------------------------------------------------------- |
|---|
| 604 | !! *** ROUTINE abl_zdf_tke *** |
|---|
| 605 | !! |
|---|
| 606 | !! ** Purpose : Time-step Turbulente Kinetic Energy (TKE) equation |
|---|
| 607 | !! |
|---|
| 608 | !! ** Method : - source term due to shear |
|---|
| 609 | !! - source term due to stratification |
|---|
| 610 | !! - resolution of the TKE equation by inverting |
|---|
| 611 | !! a tridiagonal linear system |
|---|
| 612 | !! |
|---|
| 613 | !! ** Action : - en : now turbulent kinetic energy) |
|---|
| 614 | !! - avmu, avmv : production of TKE by shear at u and v-points |
|---|
| 615 | !! (= Kz dz[Ub] * dz[Un] ) |
|---|
| 616 | !! --------------------------------------------------------------------- |
|---|
| 617 | INTEGER :: ji, jj, jk, tind, jbak, jkup, jkdwn |
|---|
| 618 | INTEGER, DIMENSION(1:jpi ) :: ikbl |
|---|
| 619 | REAL(wp) :: zcff, zcff2, ztken, zesrf, zetop, ziRic, ztv |
|---|
| 620 | REAL(wp) :: zdU, zdV, zcff1,zshear,zbuoy,zsig, zustar2 |
|---|
| 621 | REAL(wp) :: zdU2,zdV2 |
|---|
| 622 | REAL(wp) :: zwndi,zwndj |
|---|
| 623 | REAL(wp), DIMENSION(1:jpi, 1:jpka) :: zsh2 |
|---|
| 624 | REAL(wp), DIMENSION(1:jpi,1:jpj,1:jpka) :: zbn2 |
|---|
| 625 | REAL(wp), DIMENSION(1:jpi,1:jpka ) :: zFC, zRH, zCF |
|---|
| 626 | REAL(wp), DIMENSION(1:jpi,1:jpka ) :: z_elem_a |
|---|
| 627 | REAL(wp), DIMENSION(1:jpi,1:jpka ) :: z_elem_b |
|---|
| 628 | REAL(wp), DIMENSION(1:jpi,1:jpka ) :: z_elem_c |
|---|
| 629 | LOGICAL :: ln_Patankar = .FALSE. |
|---|
| 630 | LOGICAL :: ln_dumpvar = .FALSE. |
|---|
| 631 | LOGICAL , DIMENSION(1:jpi ) :: ln_foundl |
|---|
| 632 | ! |
|---|
| 633 | tind = nt_n |
|---|
| 634 | ziRic = 1._wp / rn_Ric |
|---|
| 635 | ! if tind = nt_a it is required to apply lbc_lnk on u_abl(nt_a) and v_abl(nt_a) |
|---|
| 636 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 637 | ! ! Advance TKE equation to time n+1 |
|---|
| 638 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 639 | !------------- |
|---|
| 640 | DO jj = 1, jpj ! outer loop |
|---|
| 641 | !------------- |
|---|
| 642 | ! |
|---|
| 643 | ! Compute vertical shear |
|---|
| 644 | DO jk = 2, jpkam1 |
|---|
| 645 | DO ji = 1,jpi |
|---|
| 646 | zcff = 1.0_wp / e3w_abl( jk )**2 |
|---|
| 647 | zdU = zcff* Avm_abl(ji,jj,jk) * (u_abl( ji, jj, jk+1, tind)-u_abl( ji, jj, jk , tind) )**2 |
|---|
| 648 | zdV = zcff* Avm_abl(ji,jj,jk) * (v_abl( ji, jj, jk+1, tind)-v_abl( ji, jj, jk , tind) )**2 |
|---|
| 649 | zsh2(ji,jk) = zdU+zdV |
|---|
| 650 | END DO |
|---|
| 651 | END DO |
|---|
| 652 | ! |
|---|
| 653 | ! Compute brunt-vaisala frequency |
|---|
| 654 | DO jk = 2, jpkam1 |
|---|
| 655 | DO ji = 1,jpi |
|---|
| 656 | zcff = grav * itvref / e3w_abl( jk ) |
|---|
| 657 | zcff1 = tq_abl( ji, jj, jk+1, tind, jp_ta) - tq_abl( ji, jj, jk , tind, jp_ta) |
|---|
| 658 | zcff2 = tq_abl( ji, jj, jk+1, tind, jp_ta) * tq_abl( ji, jj, jk+1, tind, jp_qa) & |
|---|
| 659 | & - tq_abl( ji, jj, jk , tind, jp_ta) * tq_abl( ji, jj, jk , tind, jp_qa) |
|---|
| 660 | zbn2(ji,jj,jk) = zcff * ( zcff1 + rctv0 * zcff2 ) !<-- zbn2 defined on (2,jpi) |
|---|
| 661 | END DO |
|---|
| 662 | END DO |
|---|
| 663 | ! |
|---|
| 664 | ! Terms for the tridiagonal problem |
|---|
| 665 | DO jk = 2, jpkam1 |
|---|
| 666 | DO ji = 1,jpi |
|---|
| 667 | zshear = zsh2( ji, jk ) ! zsh2 is already multiplied by Avm_abl at this point |
|---|
| 668 | zsh2(ji,jk) = zsh2( ji, jk ) / Avm_abl( ji, jj, jk ) ! reformulate zsh2 as a 'true' vertical shear for PBLH computation |
|---|
| 669 | zbuoy = - Avt_abl( ji, jj, jk ) * zbn2( ji, jj, jk ) |
|---|
| 670 | |
|---|
| 671 | z_elem_a( ji, jk ) = - 0.5_wp * rDt_abl * rn_Sch * ( Avm_abl( ji, jj, jk )+Avm_abl( ji, jj, jk-1 ) ) / e3t_abl( jk ) ! lower-diagonal |
|---|
| 672 | z_elem_c( ji, jk ) = - 0.5_wp * rDt_abl * rn_Sch * ( Avm_abl( ji, jj, jk )+Avm_abl( ji, jj, jk+1 ) ) / e3t_abl( jk+1 ) ! upper-diagonal |
|---|
| 673 | IF( (zbuoy + zshear) .gt. 0.) THEN ! Patankar trick to avoid negative values of TKE |
|---|
| 674 | z_elem_b( ji, jk ) = e3w_abl(jk) - z_elem_a( ji, jk ) - z_elem_c( ji, jk ) & |
|---|
| 675 | & + e3w_abl(jk) * rDt_abl * rn_Ceps * sqrt(tke_abl( ji, jj, jk, nt_n )) / mxl_abl(ji,jj,jk) ! diagonal |
|---|
| 676 | tke_abl( ji, jj, jk, nt_a ) = e3w_abl(jk) * ( tke_abl( ji, jj, jk, nt_n ) + rDt_abl * ( zbuoy + zshear ) ) ! right-hand-side |
|---|
| 677 | ELSE |
|---|
| 678 | z_elem_b( ji, jk ) = e3w_abl(jk) - z_elem_a( ji, jk ) - z_elem_c( ji, jk ) & |
|---|
| 679 | & + e3w_abl(jk) * rDt_abl * rn_Ceps * sqrt(tke_abl( ji, jj, jk, nt_n )) / mxl_abl(ji,jj,jk) & ! diagonal |
|---|
| 680 | & - e3w_abl(jk) * rDt_abl * zbuoy |
|---|
| 681 | tke_abl( ji, jj, jk, nt_a ) = e3w_abl(jk) * ( tke_abl( ji, jj, jk, nt_n ) + rDt_abl * zshear ) ! right-hand-side |
|---|
| 682 | END IF |
|---|
| 683 | END DO |
|---|
| 684 | END DO |
|---|
| 685 | |
|---|
| 686 | DO ji = 1,jpi ! vector opt. |
|---|
| 687 | zesrf = MAX( 4.63_wp * ustar2(ji,jj), tke_min ) |
|---|
| 688 | zetop = tke_min |
|---|
| 689 | z_elem_a ( ji, 1 ) = 0._wp; z_elem_c ( ji, 1 ) = 0._wp; z_elem_b ( ji, 1 ) = 1._wp |
|---|
| 690 | z_elem_a ( ji, jpka ) = 0._wp; z_elem_c ( ji, jpka ) = 0._wp; z_elem_b ( ji, jpka ) = 1._wp |
|---|
| 691 | tke_abl( ji, jj, 1, nt_a ) = zesrf |
|---|
| 692 | tke_abl( ji, jj, jpka, nt_a ) = zetop |
|---|
| 693 | zbn2(ji,jj, 1) = zbn2( ji,jj, 2) |
|---|
| 694 | zsh2(ji, 1) = zsh2( ji, 2) |
|---|
| 695 | zbn2(ji,jj,jpka) = zbn2( ji,jj,jpkam1) |
|---|
| 696 | zsh2(ji, jpka) = zsh2( ji , jpkam1) |
|---|
| 697 | END DO |
|---|
| 698 | !! |
|---|
| 699 | !! Matrix inversion |
|---|
| 700 | !! ---------------------------------------------------------- |
|---|
| 701 | DO ji = 1,jpi |
|---|
| 702 | zcff = 1._wp / z_elem_b( ji, 1 ) |
|---|
| 703 | zCF (ji, 1 ) = - zcff * z_elem_c( ji, 1 ) |
|---|
| 704 | tke_abl(ji,jj,1,nt_a) = zcff * tke_abl ( ji, jj, 1, nt_a ) |
|---|
| 705 | END DO |
|---|
| 706 | |
|---|
| 707 | DO jk = 2, jpka |
|---|
| 708 | DO ji = 1,jpi |
|---|
| 709 | zcff = 1._wp / ( z_elem_b( ji, jk ) + z_elem_a( ji, jk ) * zCF(ji, jk-1 ) ) |
|---|
| 710 | zCF(ji,jk) = - zcff * z_elem_c( ji, jk ) |
|---|
| 711 | tke_abl(ji,jj,jk,nt_a) = zcff * ( tke_abl(ji,jj,jk ,nt_a) & |
|---|
| 712 | & - z_elem_a(ji, jk) * tke_abl(ji,jj,jk-1,nt_a) ) |
|---|
| 713 | END DO |
|---|
| 714 | END DO |
|---|
| 715 | |
|---|
| 716 | DO jk = jpkam1,1,-1 |
|---|
| 717 | DO ji = 1,jpi |
|---|
| 718 | tke_abl(ji,jj,jk,nt_a) = tke_abl(ji,jj,jk,nt_a) + zCF(ji,jk) * tke_abl(ji,jj,jk+1,nt_a) |
|---|
| 719 | END DO |
|---|
| 720 | END DO |
|---|
| 721 | |
|---|
| 722 | !!FL should not be needed because of Patankar procedure |
|---|
| 723 | tke_abl(2:jpi,jj,1:jpka,nt_a) = MAX( tke_abl(2:jpi,jj,1:jpka,nt_a), tke_min ) |
|---|
| 724 | |
|---|
| 725 | !! |
|---|
| 726 | !! Diagnose PBL height |
|---|
| 727 | !! ---------------------------------------------------------- |
|---|
| 728 | |
|---|
| 729 | |
|---|
| 730 | ! |
|---|
| 731 | ! arrays zRH, zFC and zCF are available at this point |
|---|
| 732 | ! and zFC(:, 1 ) = 0. |
|---|
| 733 | ! diagnose PBL height based on zsh2 and zbn2 |
|---|
| 734 | zFC ( : ,1) = 0._wp |
|---|
| 735 | ikbl( 1:jpi ) = 0 |
|---|
| 736 | |
|---|
| 737 | DO jk = 2,jpka |
|---|
| 738 | DO ji = 1, jpi |
|---|
| 739 | zcff = ghw_abl( jk-1 ) |
|---|
| 740 | zcff1 = zcff / ( zcff + rn_epssfc * pblh ( ji, jj ) ) |
|---|
| 741 | zcff = ghw_abl( jk ) |
|---|
| 742 | zcff2 = zcff / ( zcff + rn_epssfc * pblh ( ji, jj ) ) |
|---|
| 743 | zFC( ji, jk ) = zFC( ji, jk-1) + 0.5_wp * e3t_abl( jk )*( & |
|---|
| 744 | zcff2 * ( zsh2( ji, jk ) - ziRic * zbn2( ji, jj, jk ) & |
|---|
| 745 | - rn_Cek * ( fft_abl( ji, jj ) * fft_abl( ji, jj ) ) ) & |
|---|
| 746 | + zcff1 * ( zsh2( ji, jk-1) - ziRic * zbn2( ji, jj, jk-1 ) & |
|---|
| 747 | - rn_Cek * ( fft_abl( ji, jj ) * fft_abl( ji, jj ) ) ) & |
|---|
| 748 | & ) |
|---|
| 749 | IF( ikbl(ji) == 0 .and. zFC( ji, jk ).lt.0._wp ) ikbl(ji)=jk |
|---|
| 750 | END DO |
|---|
| 751 | END DO |
|---|
| 752 | ! |
|---|
| 753 | ! finalize the computation of the PBL height |
|---|
| 754 | DO ji = 1, jpi |
|---|
| 755 | jk = ikbl(ji) |
|---|
| 756 | IF( jk > 2 ) THEN ! linear interpolation to get subgrid value of pblh |
|---|
| 757 | pblh( ji, jj ) = ( ghw_abl( jk-1 ) * zFC( ji, jk ) & |
|---|
| 758 | & - ghw_abl( jk ) * zFC( ji, jk-1 ) & |
|---|
| 759 | & ) / ( zFC( ji, jk ) - zFC( ji, jk-1 ) ) |
|---|
| 760 | ELSE IF( jk==2 ) THEN |
|---|
| 761 | pblh( ji, jj ) = ghw_abl(2 ) |
|---|
| 762 | ELSE |
|---|
| 763 | pblh( ji, jj ) = ghw_abl(jpka) |
|---|
| 764 | END IF |
|---|
| 765 | END DO |
|---|
| 766 | !------------- |
|---|
| 767 | END DO |
|---|
| 768 | !------------- |
|---|
| 769 | ! |
|---|
| 770 | ! Optional : could add pblh smoothing if pblh is noisy horizontally ... |
|---|
| 771 | IF(ln_smth_pblh) THEN |
|---|
| 772 | CALL lbc_lnk( 'ablmod', pblh, 'T', 1.) |
|---|
| 773 | CALL smooth_pblh( pblh, msk_abl ) |
|---|
| 774 | CALL lbc_lnk( 'ablmod', pblh, 'T', 1.) |
|---|
| 775 | ENDIF |
|---|
| 776 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 777 | ! ! Diagnostic mixing length computation |
|---|
| 778 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 779 | ! |
|---|
| 780 | SELECT CASE ( nn_amxl ) |
|---|
| 781 | ! |
|---|
| 782 | CASE ( 0 ) ! Deardroff 80 length-scale bounded by the distance to surface and bottom |
|---|
| 783 | # define zlup zRH |
|---|
| 784 | # define zldw zFC |
|---|
| 785 | DO jj = 1, jpj ! outer loop |
|---|
| 786 | ! |
|---|
| 787 | DO ji = 1, jpi |
|---|
| 788 | mxl_abl ( ji, jj, 1 ) = 0._wp |
|---|
| 789 | mxl_abl ( ji, jj, jpka ) = mxl_min |
|---|
| 790 | zldw( ji, 1 ) = 0._wp |
|---|
| 791 | zlup( ji, jpka ) = 0._wp |
|---|
| 792 | END DO |
|---|
| 793 | ! |
|---|
| 794 | DO jk = 2, jpkam1 |
|---|
| 795 | DO ji = 1, jpi |
|---|
| 796 | zbuoy = MAX( zbn2(ji, jj, jk), rsmall ) |
|---|
| 797 | mxl_abl( ji, jj, jk ) = MAX( mxl_min, & |
|---|
| 798 | & SQRT( 2._wp * tke_abl( ji, jj, jk, nt_a ) / zbuoy ) ) |
|---|
| 799 | END DO |
|---|
| 800 | END DO |
|---|
| 801 | ! |
|---|
| 802 | ! Limit mxl |
|---|
| 803 | DO jk = jpkam1,1,-1 |
|---|
| 804 | DO ji = 1, jpi |
|---|
| 805 | zlup(ji,jk) = MIN( zlup(ji,jk+1) + (ghw_abl(jk+1)-ghw_abl(jk)) , mxl_abl(ji, jj, jk) ) |
|---|
| 806 | END DO |
|---|
| 807 | END DO |
|---|
| 808 | ! |
|---|
| 809 | DO jk = 2, jpka |
|---|
| 810 | DO ji = 1, jpi |
|---|
| 811 | zldw(ji,jk) = MIN( zldw(ji,jk-1) + (ghw_abl(jk)-ghw_abl(jk-1)) , mxl_abl(ji, jj, jk) ) |
|---|
| 812 | END DO |
|---|
| 813 | END DO |
|---|
| 814 | ! |
|---|
| 815 | DO jk = 1, jpka |
|---|
| 816 | DO ji = 1, jpi |
|---|
| 817 | mxl_abl( ji, jj, jk ) = SQRT( zldw( ji, jk ) * zlup( ji, jk ) ) |
|---|
| 818 | END DO |
|---|
| 819 | END DO |
|---|
| 820 | ! |
|---|
| 821 | END DO |
|---|
| 822 | # undef zlup |
|---|
| 823 | # undef zldw |
|---|
| 824 | ! |
|---|
| 825 | ! |
|---|
| 826 | CASE ( 1 ) ! length-scale computed as the distance to the PBL height |
|---|
| 827 | DO jj = 1,jpj ! outer loop |
|---|
| 828 | ! |
|---|
| 829 | DO ji = 1, jpi ! vector opt. |
|---|
| 830 | zcff = 1._wp / pblh( ji, jj ) ! inverse of hbl |
|---|
| 831 | DO jk = 1, jpka |
|---|
| 832 | zsig = MIN( zcff * ghw_abl( jk ), 1. ) |
|---|
| 833 | zcff1 = pblh( ji, jj ) |
|---|
| 834 | mxl_abl( ji, jj, jk ) = mxl_min & |
|---|
| 835 | & + zsig * ( amx1*zcff1 + bmx1*mxl_min ) & |
|---|
| 836 | & + zsig * zsig * ( amx2*zcff1 + bmx2*mxl_min ) & |
|---|
| 837 | & + zsig**3 * ( amx3*zcff1 + bmx3*mxl_min ) & |
|---|
| 838 | & + zsig**4 * ( amx4*zcff1 + bmx4*mxl_min ) & |
|---|
| 839 | & + zsig**5 * ( amx5*zcff1 + bmx5*mxl_min ) |
|---|
| 840 | END DO |
|---|
| 841 | END DO |
|---|
| 842 | ! |
|---|
| 843 | END DO |
|---|
| 844 | ! |
|---|
| 845 | CASE ( 2 ) ! Bougeault & Lacarrere 89 length-scale |
|---|
| 846 | ! |
|---|
| 847 | # define zlup zRH |
|---|
| 848 | # define zldw zFC |
|---|
| 849 | ! zCF is used for matrix inversion |
|---|
| 850 | ! |
|---|
| 851 | DO jj = 1, jpj ! outer loop |
|---|
| 852 | |
|---|
| 853 | DO ji = 1, jpi |
|---|
| 854 | zlup( ji, 1 ) = mxl_min |
|---|
| 855 | zldw( ji, 1 ) = mxl_min |
|---|
| 856 | zlup( ji, jpka ) = mxl_min |
|---|
| 857 | zldw( ji, jpka ) = mxl_min |
|---|
| 858 | END DO |
|---|
| 859 | |
|---|
| 860 | DO jk = 2,jpka-1 |
|---|
| 861 | DO ji = 1, jpi |
|---|
| 862 | zlup(ji,jk) = ghw_abl(jpka) - ghw_abl(jk) |
|---|
| 863 | zldw(ji,jk) = ghw_abl(jk ) - ghw_abl( 1) |
|---|
| 864 | END DO |
|---|
| 865 | END DO |
|---|
| 866 | !! |
|---|
| 867 | !! BL89 search for lup |
|---|
| 868 | !! ---------------------------------------------------------- |
|---|
| 869 | DO jk=2,jpka-1 |
|---|
| 870 | ! |
|---|
| 871 | DO ji = 1, jpi |
|---|
| 872 | zCF(ji,1:jpka) = 0._wp |
|---|
| 873 | zCF(ji, jk ) = - tke_abl( ji, jj, jk, nt_a ) |
|---|
| 874 | ln_foundl(ji ) = .false. |
|---|
| 875 | END DO |
|---|
| 876 | ! |
|---|
| 877 | DO jkup=jk+1,jpka-1 |
|---|
| 878 | DO ji = 1, jpi |
|---|
| 879 | zCF (ji,jkup) = zCF (ji,jkup-1) + 0.5_wp * e3t_abl(jkup) * & |
|---|
| 880 | & ( zbn2(ji,jj,jkup )*(ghw_abl(jkup )-ghw_abl(jk)) & |
|---|
| 881 | & + zbn2(ji,jj,jkup-1)*(ghw_abl(jkup-1)-ghw_abl(jk)) ) |
|---|
| 882 | IF( zCF (ji,jkup) * zCF (ji,jkup-1) .le. 0._wp .and. .not. ln_foundl(ji) ) THEN |
|---|
| 883 | zcff2 = ghw_abl(jkup ) - ghw_abl(jk) |
|---|
| 884 | zcff1 = ghw_abl(jkup-1) - ghw_abl(jk) |
|---|
| 885 | zcff = ( zcff1 * zCF(ji,jkup) - zcff2 * zCF(ji,jkup-1) ) / & |
|---|
| 886 | & ( zCF(ji,jkup) - zCF(ji,jkup-1) ) |
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| 887 | zlup(ji,jk) = zcff |
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| 888 | ln_foundl(ji) = .true. |
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| 889 | END IF |
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| 890 | END DO |
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| 891 | END DO |
|---|
| 892 | ! |
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| 893 | END DO |
|---|
| 894 | !! |
|---|
| 895 | !! BL89 search for ldwn |
|---|
| 896 | !! ---------------------------------------------------------- |
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| 897 | DO jk=2,jpka-1 |
|---|
| 898 | ! |
|---|
| 899 | DO ji = 1, jpi |
|---|
| 900 | zCF(ji,1:jpka) = 0._wp |
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| 901 | zCF(ji, jk ) = - tke_abl( ji, jj, jk, nt_a ) |
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| 902 | ln_foundl(ji ) = .false. |
|---|
| 903 | END DO |
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| 904 | ! |
|---|
| 905 | DO jkdwn=jk-1,1,-1 |
|---|
| 906 | DO ji = 1, jpi |
|---|
| 907 | zCF (ji,jkdwn) = zCF (ji,jkdwn+1) + 0.5_wp * e3t_abl(jkdwn+1) & |
|---|
| 908 | & * ( zbn2(ji,jj,jkdwn+1)*(ghw_abl(jk)-ghw_abl(jkdwn+1)) & |
|---|
| 909 | + zbn2(ji,jj,jkdwn )*(ghw_abl(jk)-ghw_abl(jkdwn )) ) |
|---|
| 910 | IF(zCF (ji,jkdwn) * zCF (ji,jkdwn+1) .le. 0._wp .and. .not. ln_foundl(ji) ) THEN |
|---|
| 911 | zcff2 = ghw_abl(jk) - ghw_abl(jkdwn+1) |
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| 912 | zcff1 = ghw_abl(jk) - ghw_abl(jkdwn ) |
|---|
| 913 | zcff = ( zcff1 * zCF(ji,jkdwn+1) - zcff2 * zCF(ji,jkdwn) ) / & |
|---|
| 914 | & ( zCF(ji,jkdwn+1) - zCF(ji,jkdwn) ) |
|---|
| 915 | zldw(ji,jk) = zcff |
|---|
| 916 | ln_foundl(ji) = .true. |
|---|
| 917 | END IF |
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| 918 | END DO |
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| 919 | END DO |
|---|
| 920 | ! |
|---|
| 921 | END DO |
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| 922 | |
|---|
| 923 | DO jk = 1, jpka |
|---|
| 924 | DO ji = 1, jpi |
|---|
| 925 | mxl_abl( ji, jj, jk ) = MAX( SQRT( zldw( ji, jk ) * zlup( ji, jk ) ), mxl_min ) |
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| 926 | END DO |
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| 927 | END DO |
|---|
| 928 | |
|---|
| 929 | END DO |
|---|
| 930 | # undef zlup |
|---|
| 931 | # undef zldw |
|---|
| 932 | ! |
|---|
| 933 | END SELECT |
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| 934 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 935 | ! ! Finalize the computation of turbulent visc./diff. |
|---|
| 936 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 937 | |
|---|
| 938 | !------------- |
|---|
| 939 | DO jj = 1, jpj ! outer loop |
|---|
| 940 | !------------- |
|---|
| 941 | DO jk = 1, jpka |
|---|
| 942 | DO ji = 1, jpi ! vector opt. |
|---|
| 943 | zcff = MAX( rn_phimax, rn_Ric * mxl_abl( ji, jj, jk ) * mxl_abl( ji, jj, jk ) & |
|---|
| 944 | & * zbn2(ji, jj, jk) / tke_abl( ji, jj, jk, nt_a ) ) |
|---|
| 945 | zcff2 = 1. / ( 1. + zcff ) !<-- phi_z(z) |
|---|
| 946 | zcff = mxl_abl( ji, jj, jk ) * SQRT( tke_abl( ji, jj, jk, nt_a ) ) |
|---|
| 947 | !!FL: MAX function probably useless because of the definition of mxl_min |
|---|
| 948 | Avm_abl( ji, jj, jk ) = MAX( rn_Cm * zcff , avm_bak ) |
|---|
| 949 | Avt_abl( ji, jj, jk ) = MAX( rn_Ct * zcff * zcff2 , avt_bak ) |
|---|
| 950 | END DO |
|---|
| 951 | END DO |
|---|
| 952 | !------------- |
|---|
| 953 | END DO |
|---|
| 954 | !------------- |
|---|
| 955 | |
|---|
| 956 | !--------------------------------------------------------------------------------------------------- |
|---|
| 957 | END SUBROUTINE abl_zdf_tke |
|---|
| 958 | !=================================================================================================== |
|---|
| 959 | |
|---|
| 960 | |
|---|
| 961 | !=================================================================================================== |
|---|
| 962 | SUBROUTINE smooth_pblh( pvar2d, msk ) |
|---|
| 963 | !--------------------------------------------------------------------------------------------------- |
|---|
| 964 | |
|---|
| 965 | !!---------------------------------------------------------------------- |
|---|
| 966 | !! *** ROUTINE smooth_pblh *** |
|---|
| 967 | !! |
|---|
| 968 | !! ** Purpose : 2D Hanning filter on atmospheric PBL height |
|---|
| 969 | !! |
|---|
| 970 | !! --------------------------------------------------------------------- |
|---|
| 971 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: msk |
|---|
| 972 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pvar2d |
|---|
| 973 | INTEGER :: ji,jj |
|---|
| 974 | REAL(wp) :: smth_a, smth_b |
|---|
| 975 | REAL(wp), DIMENSION(jpi,jpj) :: zdX,zdY,zFX,zFY |
|---|
| 976 | REAL(wp) :: zumsk,zvmsk |
|---|
| 977 | !! |
|---|
| 978 | !!========================================================= |
|---|
| 979 | !! |
|---|
| 980 | !! Hanning filter |
|---|
| 981 | smth_a = 1._wp / 8._wp |
|---|
| 982 | smth_b = 1._wp / 4._wp |
|---|
| 983 | ! |
|---|
| 984 | DO_2D_11_10 |
|---|
| 985 | zumsk = msk(ji,jj) * msk(ji+1,jj) |
|---|
| 986 | zdX ( ji, jj ) = ( pvar2d( ji+1,jj ) - pvar2d( ji ,jj ) ) * zumsk |
|---|
| 987 | END_2D |
|---|
| 988 | |
|---|
| 989 | DO_2D_10_11 |
|---|
| 990 | zvmsk = msk(ji,jj) * msk(ji,jj+1) |
|---|
| 991 | zdY ( ji, jj ) = ( pvar2d( ji, jj+1 ) - pvar2d( ji ,jj ) ) * zvmsk |
|---|
| 992 | END_2D |
|---|
| 993 | |
|---|
| 994 | DO_2D_10_00 |
|---|
| 995 | zFY ( ji, jj ) = zdY ( ji, jj ) & |
|---|
| 996 | & + smth_a* ( (zdX ( ji, jj+1 ) - zdX( ji-1, jj+1 )) & |
|---|
| 997 | & - (zdX ( ji, jj ) - zdX( ji-1, jj )) ) |
|---|
| 998 | END_2D |
|---|
| 999 | |
|---|
| 1000 | DO_2D_00_10 |
|---|
| 1001 | zFX( ji, jj ) = zdX( ji, jj ) & |
|---|
| 1002 | & + smth_a*( (zdY( ji+1, jj ) - zdY( ji+1, jj-1)) & |
|---|
| 1003 | & - (zdY( ji , jj ) - zdY( ji , jj-1)) ) |
|---|
| 1004 | END_2D |
|---|
| 1005 | |
|---|
| 1006 | DO_2D_00_00 |
|---|
| 1007 | pvar2d( ji ,jj ) = pvar2d( ji ,jj ) & |
|---|
| 1008 | & + msk(ji,jj) * smth_b * ( & |
|---|
| 1009 | & zFX( ji, jj ) - zFX( ji-1, jj ) & |
|---|
| 1010 | & +zFY( ji, jj ) - zFY( ji, jj-1 ) ) |
|---|
| 1011 | END_2D |
|---|
| 1012 | !! |
|---|
| 1013 | !--------------------------------------------------------------------------------------------------- |
|---|
| 1014 | END SUBROUTINE smooth_pblh |
|---|
| 1015 | !=================================================================================================== |
|---|
| 1016 | |
|---|
| 1017 | !!====================================================================== |
|---|
| 1018 | END MODULE ablmod |
|---|
