| 1 | MODULE zdfmxl |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE zdfmxl *** |
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| 4 | !! Ocean physics: mixed layer depth |
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| 5 | !!====================================================================== |
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| 6 | !! History : 1.0 ! 2003-08 (G. Madec) original code |
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| 7 | !! 3.2 ! 2009-07 (S. Masson, G. Madec) IOM + merge of DO-loop |
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| 8 | !! 3.7 ! 2012-03 (G. Madec) make public the density criteria for trdmxl |
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| 9 | !! - ! 2014-02 (F. Roquet) mixed layer depth calculated using N2 instead of rhop |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! zdf_mxl : Compute the turbocline and mixed layer depths. |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | USE oce ! ocean dynamics and tracers variables |
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| 14 | USE dom_oce ! ocean space and time domain variables |
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| 15 | USE zdf_oce ! ocean vertical physics |
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| 16 | USE in_out_manager ! I/O manager |
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| 17 | USE prtctl ! Print control |
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| 18 | USE phycst ! physical constants |
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| 19 | USE iom ! I/O library |
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| 20 | USE eosbn2 ! for zdf_mxl_zint |
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| 21 | USE lib_mpp ! MPP library |
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| 22 | USE wrk_nemo ! work arrays |
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| 23 | USE timing ! Timing |
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| 24 | USE trc_oce, ONLY : lk_offline ! offline flag |
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| 25 | |
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| 26 | IMPLICIT NONE |
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| 27 | PRIVATE |
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| 28 | |
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| 29 | PUBLIC zdf_mxl ! called by step.F90 |
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| 30 | PUBLIC zdf_mxl_alloc ! Used in zdf_tke_init |
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| 31 | |
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| 32 | INTEGER , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: nmln !: number of level in the mixed layer (used by TOP) |
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| 33 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmld !: mixing layer depth (turbocline) [m] |
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| 34 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmlp !: mixed layer depth (rho=rho0+zdcrit) [m] |
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| 35 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmlpt !: mixed layer depth at t-points [m] |
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| 36 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:) :: hmld_zint !: vertically-interpolated mixed layer depth [m] |
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| 37 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:) :: htc_mld ! Heat content of hmld_zint |
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| 38 | LOGICAL, PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ll_found ! Is T_b to be found by interpolation ? |
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| 39 | LOGICAL, PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ll_belowml ! Flag points below mixed layer when ll_found=F |
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| 40 | |
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| 41 | REAL(wp), PUBLIC :: rho_c = 0.01_wp !: density criterion for mixed layer depth |
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| 42 | REAL(wp) :: avt_c = 5.e-4_wp ! Kz criterion for the turbocline depth |
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| 43 | |
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| 44 | TYPE, PUBLIC :: MXL_ZINT !: Structure for MLD defs |
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| 45 | INTEGER :: mld_type ! mixed layer type |
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| 46 | REAL(wp) :: zref ! depth of initial T_ref |
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| 47 | REAL(wp) :: dT_crit ! Critical temp diff |
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| 48 | REAL(wp) :: iso_frac ! Fraction of rn_dT_crit used |
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| 49 | END TYPE MXL_ZINT |
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| 50 | |
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| 51 | !! * Substitutions |
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| 52 | # include "domzgr_substitute.h90" |
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| 53 | !!---------------------------------------------------------------------- |
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| 54 | !! NEMO/OPA 4.0 , NEMO Consortium (2011) |
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| 55 | !! $Id$ |
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| 56 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 57 | !!---------------------------------------------------------------------- |
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| 58 | CONTAINS |
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| 59 | |
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| 60 | INTEGER FUNCTION zdf_mxl_alloc() |
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| 61 | !!---------------------------------------------------------------------- |
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| 62 | !! *** FUNCTION zdf_mxl_alloc *** |
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| 63 | !!---------------------------------------------------------------------- |
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| 64 | zdf_mxl_alloc = 0 ! set to zero if no array to be allocated |
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| 65 | IF( .NOT. ALLOCATED( nmln ) ) THEN |
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| 66 | ALLOCATE( nmln(jpi,jpj), hmld(jpi,jpj), hmlp(jpi,jpj), hmlpt(jpi,jpj), hmld_zint(jpi,jpj), & |
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| 67 | & htc_mld(jpi,jpj), & |
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| 68 | & ll_found(jpi,jpj), ll_belowml(jpi,jpj,jpk), STAT= zdf_mxl_alloc ) |
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| 69 | ! |
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| 70 | IF( lk_mpp ) CALL mpp_sum ( zdf_mxl_alloc ) |
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| 71 | IF( zdf_mxl_alloc /= 0 ) CALL ctl_warn('zdf_mxl_alloc: failed to allocate arrays.') |
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| 72 | ! |
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| 73 | ENDIF |
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| 74 | END FUNCTION zdf_mxl_alloc |
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| 75 | |
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| 76 | |
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| 77 | SUBROUTINE zdf_mxl( kt ) |
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| 78 | !!---------------------------------------------------------------------- |
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| 79 | !! *** ROUTINE zdfmxl *** |
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| 80 | !! |
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| 81 | !! ** Purpose : Compute the turbocline depth and the mixed layer depth |
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| 82 | !! with density criteria. |
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| 83 | !! |
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| 84 | !! ** Method : The mixed layer depth is the shallowest W depth with |
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| 85 | !! the density of the corresponding T point (just bellow) bellow a |
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| 86 | !! given value defined locally as rho(10m) + rho_c |
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| 87 | !! The turbocline depth is the depth at which the vertical |
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| 88 | !! eddy diffusivity coefficient (resulting from the vertical physics |
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| 89 | !! alone, not the isopycnal part, see trazdf.F) fall below a given |
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| 90 | !! value defined locally (avt_c here taken equal to 5 cm/s2 by default) |
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| 91 | !! |
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| 92 | !! ** Action : nmln, hmld, hmlp, hmlpt |
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| 93 | !!---------------------------------------------------------------------- |
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| 94 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 95 | ! |
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| 96 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 97 | INTEGER :: iikn, iiki, ikt ! local integer |
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| 98 | REAL(wp) :: zN2_c ! local scalar |
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| 99 | INTEGER, POINTER, DIMENSION(:,:) :: imld ! 2D workspace |
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| 100 | !!---------------------------------------------------------------------- |
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| 101 | ! |
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| 102 | IF( nn_timing == 1 ) CALL timing_start('zdf_mxl') |
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| 103 | ! |
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| 104 | CALL wrk_alloc( jpi,jpj, imld ) |
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| 105 | |
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| 106 | IF( kt <= nit000 ) THEN |
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| 107 | IF(lwp) WRITE(numout,*) |
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| 108 | IF(lwp) WRITE(numout,*) 'zdf_mxl : mixed layer depth' |
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| 109 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
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| 110 | ! ! allocate zdfmxl arrays |
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| 111 | IF( zdf_mxl_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_mxl : unable to allocate arrays' ) |
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| 112 | ENDIF |
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| 113 | |
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| 114 | ! w-level of the mixing and mixed layers |
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| 115 | nmln(:,:) = nlb10 ! Initialization to the number of w ocean point |
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| 116 | hmlp(:,:) = 0._wp ! here hmlp used as a dummy variable, integrating vertically N^2 |
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| 117 | zN2_c = grav * rho_c * r1_rau0 ! convert density criteria into N^2 criteria |
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| 118 | DO jk = nlb10, jpkm1 |
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| 119 | DO jj = 1, jpj ! Mixed layer level: w-level |
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| 120 | DO ji = 1, jpi |
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| 121 | ikt = mbkt(ji,jj) |
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| 122 | hmlp(ji,jj) = hmlp(ji,jj) + MAX( rn2b(ji,jj,jk) , 0._wp ) * fse3w(ji,jj,jk) |
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| 123 | IF( hmlp(ji,jj) < zN2_c ) nmln(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
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| 124 | END DO |
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| 125 | END DO |
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| 126 | END DO |
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| 127 | ! |
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| 128 | ! w-level of the turbocline |
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| 129 | imld(:,:) = mbkt(:,:) + 1 ! Initialization to the number of w ocean point |
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| 130 | DO jk = jpkm1, nlb10, -1 ! from the bottom to nlb10 |
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| 131 | DO jj = 1, jpj |
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| 132 | DO ji = 1, jpi |
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| 133 | IF( avt (ji,jj,jk) < avt_c * wmask(ji,jj,jk) ) imld(ji,jj) = jk ! Turbocline |
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| 134 | END DO |
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| 135 | END DO |
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| 136 | END DO |
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| 137 | ! depth of the mixing and mixed layers |
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| 138 | DO jj = 1, jpj |
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| 139 | DO ji = 1, jpi |
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| 140 | iiki = imld(ji,jj) |
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| 141 | iikn = nmln(ji,jj) |
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| 142 | hmld (ji,jj) = fsdepw(ji,jj,iiki ) * ssmask(ji,jj) ! Turbocline depth |
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| 143 | hmlp (ji,jj) = fsdepw(ji,jj,iikn ) * ssmask(ji,jj) ! Mixed layer depth |
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| 144 | hmlpt(ji,jj) = fsdept(ji,jj,iikn-1) * ssmask(ji,jj) ! depth of the last T-point inside the mixed layer |
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| 145 | END DO |
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| 146 | END DO |
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| 147 | ! no need to output in offline mode |
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| 148 | IF( .NOT.lk_offline ) THEN |
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| 149 | IF ( iom_use("mldr10_1") ) THEN |
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| 150 | IF( ln_isfcav ) THEN |
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| 151 | CALL iom_put( "mldr10_1", hmlp - risfdep) ! mixed layer thickness |
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| 152 | ELSE |
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| 153 | CALL iom_put( "mldr10_1", hmlp ) ! mixed layer depth |
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| 154 | END IF |
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| 155 | END IF |
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| 156 | IF ( iom_use("mldkz5") ) THEN |
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| 157 | IF( ln_isfcav ) THEN |
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| 158 | CALL iom_put( "mldkz5" , hmld - risfdep ) ! turbocline thickness |
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| 159 | ELSE |
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| 160 | CALL iom_put( "mldkz5" , hmld ) ! turbocline depth |
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| 161 | END IF |
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| 162 | END IF |
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| 163 | ENDIF |
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| 164 | |
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| 165 | ! Vertically-interpolated mixed-layer depth diagnostic |
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| 166 | CALL zdf_mxl_zint( kt ) |
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| 167 | |
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| 168 | IF(ln_ctl) CALL prt_ctl( tab2d_1=REAL(nmln,wp), clinfo1=' nmln : ', tab2d_2=hmlp, clinfo2=' hmlp : ', ovlap=1 ) |
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| 169 | ! |
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| 170 | CALL wrk_dealloc( jpi,jpj, imld ) |
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| 171 | ! |
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| 172 | IF( nn_timing == 1 ) CALL timing_stop('zdf_mxl') |
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| 173 | ! |
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| 174 | END SUBROUTINE zdf_mxl |
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| 175 | |
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| 176 | SUBROUTINE zdf_mxl_zint_mld( sf ) |
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| 177 | !!---------------------------------------------------------------------------------- |
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| 178 | !! *** ROUTINE zdf_mxl_zint_mld *** |
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| 179 | ! |
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| 180 | ! Calculate vertically-interpolated mixed layer depth diagnostic. |
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| 181 | ! |
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| 182 | ! This routine can calculate the mixed layer depth diagnostic suggested by |
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| 183 | ! Kara et al, 2000, JGR, 105, 16803, but is more general and can calculate |
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| 184 | ! vertically-interpolated mixed-layer depth diagnostics with other parameter |
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| 185 | ! settings set in the namzdf_mldzint namelist. |
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| 186 | ! |
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| 187 | ! If mld_type=1 the mixed layer depth is calculated as the depth at which the |
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| 188 | ! density has increased by an amount equivalent to a temperature difference of |
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| 189 | ! 0.8C at the surface. |
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| 190 | ! |
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| 191 | ! For other values of mld_type the mixed layer is calculated as the depth at |
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| 192 | ! which the temperature differs by 0.8C from the surface temperature. |
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| 193 | ! |
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| 194 | ! David Acreman, Daley Calvert |
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| 195 | ! |
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| 196 | !!----------------------------------------------------------------------------------- |
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| 197 | |
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| 198 | TYPE(MXL_ZINT), INTENT(in) :: sf |
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| 199 | |
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| 200 | ! Diagnostic criteria |
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| 201 | INTEGER :: nn_mld_type ! mixed layer type |
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| 202 | REAL(wp) :: rn_zref ! depth of initial T_ref |
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| 203 | REAL(wp) :: rn_dT_crit ! Critical temp diff |
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| 204 | REAL(wp) :: rn_iso_frac ! Fraction of rn_dT_crit used |
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| 205 | |
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| 206 | ! Local variables |
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| 207 | REAL(wp), PARAMETER :: zepsilon = 1.e-30 ! local small value |
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| 208 | INTEGER, POINTER, DIMENSION(:,:) :: ikmt ! number of active tracer levels |
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| 209 | INTEGER, POINTER, DIMENSION(:,:) :: ik_ref ! index of reference level |
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| 210 | INTEGER, POINTER, DIMENSION(:,:) :: ik_iso ! index of last uniform temp level |
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| 211 | REAL, POINTER, DIMENSION(:,:,:) :: zT ! Temperature or density |
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| 212 | REAL, POINTER, DIMENSION(:,:) :: ppzdep ! depth for use in calculating d(rho) |
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| 213 | REAL, POINTER, DIMENSION(:,:) :: zT_ref ! reference temperature |
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| 214 | REAL :: zT_b ! base temperature |
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| 215 | REAL, POINTER, DIMENSION(:,:,:) :: zdTdz ! gradient of zT |
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| 216 | REAL, POINTER, DIMENSION(:,:,:) :: zmoddT ! Absolute temperature difference |
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| 217 | REAL :: zdz ! depth difference |
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| 218 | REAL :: zdT ! temperature difference |
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| 219 | REAL, POINTER, DIMENSION(:,:) :: zdelta_T ! difference critereon |
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| 220 | REAL, POINTER, DIMENSION(:,:) :: zRHO1, zRHO2 ! Densities |
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| 221 | INTEGER :: ji, jj, jk ! loop counter |
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| 222 | |
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| 223 | !!------------------------------------------------------------------------------------- |
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| 224 | ! |
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| 225 | CALL wrk_alloc( jpi, jpj, ikmt, ik_ref, ik_iso) |
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| 226 | CALL wrk_alloc( jpi, jpj, ppzdep, zT_ref, zdelta_T, zRHO1, zRHO2 ) |
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| 227 | CALL wrk_alloc( jpi, jpj, jpk, zT, zdTdz, zmoddT ) |
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| 228 | |
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| 229 | ! Unpack structure |
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| 230 | nn_mld_type = sf%mld_type |
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| 231 | rn_zref = sf%zref |
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| 232 | rn_dT_crit = sf%dT_crit |
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| 233 | rn_iso_frac = sf%iso_frac |
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| 234 | |
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| 235 | ! Set the mixed layer depth criterion at each grid point |
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| 236 | IF( nn_mld_type == 0 ) THEN |
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| 237 | zdelta_T(:,:) = rn_dT_crit |
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| 238 | zT(:,:,:) = rhop(:,:,:) |
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| 239 | ELSE IF( nn_mld_type == 1 ) THEN |
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| 240 | ppzdep(:,:)=0.0 |
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| 241 | call eos ( tsn(:,:,1,:), ppzdep(:,:), zRHO1(:,:) ) |
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| 242 | ! Use zT temporarily as a copy of tsn with rn_dT_crit added to SST |
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| 243 | ! [assumes number of tracers less than number of vertical levels] |
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| 244 | zT(:,:,1:jpts)=tsn(:,:,1,1:jpts) |
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| 245 | zT(:,:,jp_tem)=zT(:,:,1)+rn_dT_crit |
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| 246 | CALL eos( zT(:,:,1:jpts), ppzdep(:,:), zRHO2(:,:) ) |
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| 247 | zdelta_T(:,:) = abs( zRHO1(:,:) - zRHO2(:,:) ) * rau0 |
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| 248 | ! RHO from eos (2d version) doesn't calculate north or east halo: |
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| 249 | CALL lbc_lnk( zdelta_T, 'T', 1. ) |
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| 250 | zT(:,:,:) = rhop(:,:,:) |
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| 251 | ELSE |
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| 252 | zdelta_T(:,:) = rn_dT_crit |
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| 253 | zT(:,:,:) = tsn(:,:,:,jp_tem) |
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| 254 | END IF |
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| 255 | |
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| 256 | ! Calculate the gradient of zT and absolute difference for use later |
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| 257 | DO jk = 1 ,jpk-2 |
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| 258 | zdTdz(:,:,jk) = ( zT(:,:,jk+1) - zT(:,:,jk) ) / fse3w(:,:,jk+1) |
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| 259 | zmoddT(:,:,jk) = abs( zT(:,:,jk+1) - zT(:,:,jk) ) |
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| 260 | END DO |
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| 261 | |
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| 262 | ! Find density/temperature at the reference level (Kara et al use 10m). |
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| 263 | ! ik_ref is the index of the box centre immediately above or at the reference level |
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| 264 | ! Find rn_zref in the array of model level depths and find the ref |
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| 265 | ! density/temperature by linear interpolation. |
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| 266 | DO jk = jpkm1, 2, -1 |
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| 267 | WHERE ( fsdept(:,:,jk) > rn_zref ) |
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| 268 | ik_ref(:,:) = jk - 1 |
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| 269 | zT_ref(:,:) = zT(:,:,jk-1) + zdTdz(:,:,jk-1) * ( rn_zref - fsdept(:,:,jk-1) ) |
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| 270 | END WHERE |
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| 271 | END DO |
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| 272 | |
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| 273 | ! If the first grid box centre is below the reference level then use the |
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| 274 | ! top model level to get zT_ref |
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| 275 | WHERE ( fsdept(:,:,1) > rn_zref ) |
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| 276 | zT_ref = zT(:,:,1) |
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| 277 | ik_ref = 1 |
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| 278 | END WHERE |
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| 279 | |
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| 280 | ! The number of active tracer levels is 1 less than the number of active w levels |
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| 281 | ikmt(:,:) = mbathy(:,:) - 1 |
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| 282 | |
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| 283 | ! Initialize / reset |
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| 284 | ll_found(:,:) = .false. |
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| 285 | |
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| 286 | IF ( rn_iso_frac - zepsilon > 0. ) THEN |
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| 287 | ! Search for a uniform density/temperature region where adjacent levels |
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| 288 | ! differ by less than rn_iso_frac * deltaT. |
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| 289 | ! ik_iso is the index of the last level in the uniform layer |
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| 290 | ! ll_found indicates whether the mixed layer depth can be found by interpolation |
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| 291 | ik_iso(:,:) = ik_ref(:,:) |
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| 292 | DO jj = 1, nlcj |
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| 293 | DO ji = 1, nlci |
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| 294 | !CDIR NOVECTOR |
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| 295 | DO jk = ik_ref(ji,jj), ikmt(ji,jj)-1 |
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| 296 | IF ( zmoddT(ji,jj,jk) > ( rn_iso_frac * zdelta_T(ji,jj) ) ) THEN |
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| 297 | ik_iso(ji,jj) = jk |
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| 298 | ll_found(ji,jj) = ( zmoddT(ji,jj,jk) > zdelta_T(ji,jj) ) |
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| 299 | EXIT |
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| 300 | END IF |
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| 301 | END DO |
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| 302 | END DO |
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| 303 | END DO |
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| 304 | |
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| 305 | ! Use linear interpolation to find depth of mixed layer base where possible |
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| 306 | hmld_zint(:,:) = rn_zref |
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| 307 | DO jj = 1, jpj |
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| 308 | DO ji = 1, jpi |
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| 309 | IF (ll_found(ji,jj) .and. tmask(ji,jj,1) == 1.0) THEN |
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| 310 | zdz = abs( zdelta_T(ji,jj) / zdTdz(ji,jj,ik_iso(ji,jj)) ) |
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| 311 | hmld_zint(ji,jj) = fsdept(ji,jj,ik_iso(ji,jj)) + zdz |
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| 312 | END IF |
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| 313 | END DO |
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| 314 | END DO |
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| 315 | END IF |
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| 316 | |
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| 317 | ! If ll_found = .false. then calculate MLD using difference of zdelta_T |
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| 318 | ! from the reference density/temperature |
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| 319 | |
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| 320 | ! Prevent this section from working on land points |
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| 321 | WHERE ( tmask(:,:,1) /= 1.0 ) |
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| 322 | ll_found = .true. |
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| 323 | END WHERE |
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| 324 | |
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| 325 | DO jk=1, jpk |
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| 326 | ll_belowml(:,:,jk) = abs( zT(:,:,jk) - zT_ref(:,:) ) >= zdelta_T(:,:) |
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| 327 | END DO |
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| 328 | |
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| 329 | ! Set default value where interpolation cannot be used (ll_found=false) |
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| 330 | DO jj = 1, jpj |
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| 331 | DO ji = 1, jpi |
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| 332 | IF ( .not. ll_found(ji,jj) ) hmld_zint(ji,jj) = fsdept(ji,jj,ikmt(ji,jj)) |
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| 333 | END DO |
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| 334 | END DO |
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| 335 | |
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| 336 | DO jj = 1, jpj |
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| 337 | DO ji = 1, jpi |
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| 338 | !CDIR NOVECTOR |
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| 339 | DO jk = ik_ref(ji,jj)+1, ikmt(ji,jj) |
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| 340 | IF ( ll_found(ji,jj) ) EXIT |
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| 341 | IF ( ll_belowml(ji,jj,jk) ) THEN |
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| 342 | zT_b = zT_ref(ji,jj) + zdelta_T(ji,jj) * SIGN(1.0, zdTdz(ji,jj,jk-1) ) |
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| 343 | zdT = zT_b - zT(ji,jj,jk-1) |
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| 344 | zdz = zdT / zdTdz(ji,jj,jk-1) |
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| 345 | hmld_zint(ji,jj) = fsdept(ji,jj,jk-1) + zdz |
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| 346 | EXIT |
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| 347 | END IF |
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| 348 | END DO |
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| 349 | END DO |
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| 350 | END DO |
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| 351 | |
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| 352 | hmld_zint(:,:) = hmld_zint(:,:)*tmask(:,:,1) |
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| 353 | ! |
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| 354 | CALL wrk_dealloc( jpi, jpj, ikmt, ik_ref, ik_iso) |
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| 355 | CALL wrk_dealloc( jpi, jpj, ppzdep, zT_ref, zdelta_T, zRHO1, zRHO2 ) |
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| 356 | CALL wrk_dealloc( jpi,jpj, jpk, zT, zdTdz, zmoddT ) |
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| 357 | ! |
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| 358 | END SUBROUTINE zdf_mxl_zint_mld |
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| 359 | |
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| 360 | SUBROUTINE zdf_mxl_zint_htc( kt ) |
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| 361 | !!---------------------------------------------------------------------- |
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| 362 | !! *** ROUTINE zdf_mxl_zint_htc *** |
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| 363 | !! |
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| 364 | !! ** Purpose : |
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| 365 | !! |
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| 366 | !! ** Method : |
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| 367 | !!---------------------------------------------------------------------- |
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| 368 | |
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| 369 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 370 | |
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| 371 | INTEGER :: ji, jj, jk |
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| 372 | INTEGER :: ikmax |
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| 373 | REAL(wp) :: zc, zcoef |
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| 374 | ! |
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| 375 | INTEGER, ALLOCATABLE, DIMENSION(:,:) :: ilevel |
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| 376 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zthick_0, zthick |
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| 377 | |
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| 378 | !!---------------------------------------------------------------------- |
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| 379 | |
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| 380 | IF( .NOT. ALLOCATED(ilevel) ) THEN |
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| 381 | ALLOCATE( ilevel(jpi,jpj), zthick_0(jpi,jpj), & |
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| 382 | & zthick(jpi,jpj), STAT=ji ) |
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| 383 | IF( lk_mpp ) CALL mpp_sum(ji) |
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| 384 | IF( ji /= 0 ) CALL ctl_stop( 'STOP', 'zdf_mxl_zint_htc : unable to allocate arrays' ) |
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| 385 | ENDIF |
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| 386 | |
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| 387 | ! Find last whole model T level above the MLD |
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| 388 | ilevel(:,:) = 0 |
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| 389 | zthick_0(:,:) = 0._wp |
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| 390 | |
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| 391 | DO jk = 1, jpkm1 |
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| 392 | DO jj = 1, jpj |
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| 393 | DO ji = 1, jpi |
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| 394 | zthick_0(ji,jj) = zthick_0(ji,jj) + fse3t(ji,jj,jk) |
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| 395 | IF( zthick_0(ji,jj) < hmld_zint(ji,jj) ) ilevel(ji,jj) = jk |
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| 396 | END DO |
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| 397 | END DO |
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| 398 | WRITE(numout,*) 'zthick_0(jk =',jk,') =',zthick_0(2,2) |
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| 399 | WRITE(numout,*) 'fsdepw(jk+1 =',jk+1,') =',fsdepw(2,2,jk+1) |
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| 400 | END DO |
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| 401 | |
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| 402 | ! Surface boundary condition |
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| 403 | IF( lk_vvl ) THEN ; zthick(:,:) = 0._wp ; htc_mld(:,:) = 0._wp |
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| 404 | ELSE ; zthick(:,:) = sshn(:,:) ; htc_mld(:,:) = tsn(:,:,1,jp_tem) * sshn(:,:) * tmask(:,:,1) |
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| 405 | ENDIF |
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| 406 | |
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| 407 | ! Deepest whole T level above the MLD |
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| 408 | ikmax = MIN( MAXVAL( ilevel(:,:) ), jpkm1 ) |
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| 409 | |
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| 410 | ! Integration down to last whole model T level |
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| 411 | DO jk = 1, ikmax |
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| 412 | DO jj = 1, jpj |
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| 413 | DO ji = 1, jpi |
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| 414 | zc = fse3t(ji,jj,jk) * REAL( MIN( MAX( 0, ilevel(ji,jj) - jk + 1 ) , 1 ) ) ! 0 below ilevel |
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| 415 | zthick(ji,jj) = zthick(ji,jj) + zc |
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| 416 | htc_mld(ji,jj) = htc_mld(ji,jj) + zc * tsn(ji,jj,jk,jp_tem) * tmask(ji,jj,jk) |
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| 417 | END DO |
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| 418 | END DO |
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| 419 | END DO |
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| 420 | |
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| 421 | ! Subsequent partial T level |
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| 422 | zthick(:,:) = hmld_zint(:,:) - zthick(:,:) ! remaining thickness to reach MLD |
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| 423 | |
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| 424 | DO jj = 1, jpj |
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| 425 | DO ji = 1, jpi |
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| 426 | htc_mld(ji,jj) = htc_mld(ji,jj) + tsn(ji,jj,ilevel(ji,jj)+1,jp_tem) & |
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| 427 | & * MIN( fse3t(ji,jj,ilevel(ji,jj)+1), zthick(ji,jj) ) * tmask(ji,jj,ilevel(ji,jj)+1) |
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| 428 | END DO |
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| 429 | END DO |
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| 430 | |
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| 431 | WRITE(numout,*) 'htc_mld(after) =',htc_mld(2,2) |
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| 432 | |
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| 433 | ! Convert to heat content |
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| 434 | zcoef = rau0 * rcp |
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| 435 | htc_mld(:,:) = zcoef * htc_mld(:,:) |
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| 436 | |
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| 437 | END SUBROUTINE zdf_mxl_zint_htc |
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| 438 | |
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| 439 | SUBROUTINE zdf_mxl_zint( kt ) |
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| 440 | !!---------------------------------------------------------------------- |
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| 441 | !! *** ROUTINE zdf_mxl_zint *** |
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| 442 | !! |
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| 443 | !! ** Purpose : |
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| 444 | !! |
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| 445 | !! ** Method : |
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| 446 | !!---------------------------------------------------------------------- |
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| 447 | |
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| 448 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 449 | |
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| 450 | INTEGER :: ios |
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| 451 | INTEGER :: jn |
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| 452 | |
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| 453 | INTEGER :: nn_mld_diag = 0 ! number of diagnostics |
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| 454 | |
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| 455 | CHARACTER(len=1) :: cmld |
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| 456 | |
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| 457 | TYPE(MXL_ZINT) :: sn_mld1, sn_mld2, sn_mld3, sn_mld4, sn_mld5 |
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| 458 | TYPE(MXL_ZINT), SAVE, DIMENSION(5) :: mld_diags |
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| 459 | |
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| 460 | NAMELIST/namzdf_mldzint/ nn_mld_diag, sn_mld1, sn_mld2, sn_mld3, sn_mld4, sn_mld5 |
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| 461 | |
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| 462 | !!---------------------------------------------------------------------- |
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| 463 | |
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| 464 | IF( kt == nit000 ) THEN |
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| 465 | REWIND( numnam_ref ) ! Namelist namzdf_mldzint in reference namelist |
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| 466 | READ ( numnam_ref, namzdf_mldzint, IOSTAT = ios, ERR = 901) |
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| 467 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_mldzint in reference namelist', lwp ) |
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| 468 | |
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| 469 | REWIND( numnam_cfg ) ! Namelist namzdf_mldzint in configuration namelist |
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| 470 | READ ( numnam_cfg, namzdf_mldzint, IOSTAT = ios, ERR = 902 ) |
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| 471 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_mldzint in configuration namelist', lwp ) |
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| 472 | IF(lwm) WRITE ( numond, namzdf_mldzint ) |
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| 473 | |
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| 474 | IF( nn_mld_diag > 5 ) CALL ctl_stop( 'STOP', 'zdf_mxl_ini: Specify no more than 5 MLD definitions' ) |
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| 475 | |
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| 476 | mld_diags(1) = sn_mld1 |
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| 477 | mld_diags(2) = sn_mld2 |
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| 478 | mld_diags(3) = sn_mld3 |
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| 479 | mld_diags(4) = sn_mld4 |
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| 480 | mld_diags(5) = sn_mld5 |
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| 481 | |
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| 482 | IF( nn_mld_diag > 0 ) THEN |
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| 483 | WRITE(numout,*) '=============== Vertically-interpolated mixed layer ================' |
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| 484 | WRITE(numout,*) '(Diagnostic number, nn_mld_type, rn_zref, rn_dT_crit, rn_iso_frac)' |
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| 485 | DO jn = 1, nn_mld_diag |
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| 486 | WRITE(numout,*) 'MLD criterion',jn,':' |
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| 487 | WRITE(numout,*) ' nn_mld_type =', mld_diags(jn)%mld_type |
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| 488 | WRITE(numout,*) ' rn_zref =' , mld_diags(jn)%zref |
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| 489 | WRITE(numout,*) ' rn_dT_crit =' , mld_diags(jn)%dT_crit |
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| 490 | WRITE(numout,*) ' rn_iso_frac =', mld_diags(jn)%iso_frac |
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| 491 | END DO |
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| 492 | WRITE(numout,*) '====================================================================' |
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| 493 | ENDIF |
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| 494 | ENDIF |
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| 495 | |
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| 496 | IF( nn_mld_diag > 0 ) THEN |
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| 497 | DO jn = 1, nn_mld_diag |
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| 498 | WRITE(cmld,'(I1)') jn |
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| 499 | IF( iom_use( "mldzint_"//cmld ) .OR. iom_use( "mldhtc_"//cmld ) ) THEN |
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| 500 | CALL zdf_mxl_zint_mld( mld_diags(jn) ) |
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| 501 | |
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| 502 | IF( iom_use( "mldzint_"//cmld ) ) THEN |
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| 503 | CALL iom_put( "mldzint_"//cmld, hmld_zint(:,:) ) |
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| 504 | ENDIF |
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| 505 | |
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| 506 | IF( iom_use( "mldhtc_"//cmld ) ) THEN |
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| 507 | CALL zdf_mxl_zint_htc( kt ) |
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| 508 | CALL iom_put( "mldhtc_"//cmld , htc_mld(:,:) ) |
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| 509 | ENDIF |
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| 510 | ENDIF |
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| 511 | END DO |
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| 512 | ENDIF |
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| 513 | |
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| 514 | END SUBROUTINE zdf_mxl_zint |
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| 515 | |
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| 516 | !!====================================================================== |
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| 517 | END MODULE zdfmxl |
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