[935] | 1 | MODULE p4zsink |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE p4zsink *** |
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| 4 | !! TOP : PISCES Compute vertical flux of particulate matter due to gravitational sinking |
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| 5 | !!====================================================================== |
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| 6 | !! History : 1.0 ! 2004 (O. Aumont) Original code |
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| 7 | !! 2.0 ! 2007-12 (C. Ethe, G. Madec) F90 |
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| 8 | #if defined key_pisces |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! p4z_sink : Compute vertical flux of particulate matter due to gravitational sinking |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | USE trc |
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| 13 | USE oce_trc ! |
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| 14 | USE trp_trc |
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| 15 | USE sms |
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| 16 | USE p4zsink2 ! |
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| 17 | USE prtctl_trc |
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| 18 | |
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| 19 | |
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| 20 | IMPLICIT NONE |
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| 21 | PRIVATE |
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| 22 | |
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| 23 | PUBLIC p4z_sink ! called in p4zbio.F90 |
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| 24 | |
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| 25 | !! * Shared module variables |
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| 26 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: & !: |
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| 27 | wsbio3, wsbio4, & !: POC and GOC sinking speeds |
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| 28 | wscal !: Calcite and BSi sinking speeds |
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| 29 | |
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| 30 | !! * Module variables |
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| 31 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & !: |
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| 32 | sinking, sinking2, & !: POC sinking fluxes (different meanings depending on the parameterization |
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| 33 | sinkcal, sinksil, & !: CaCO3 and BSi sinking fluxes |
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| 34 | sinkfer !: Small BFe sinking flux |
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| 35 | |
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| 36 | #if defined key_kriest |
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| 37 | REAL(wp) :: & |
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| 38 | xkr_sfact = 250. , & !: Sinking factor |
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| 39 | xkr_stick = 0.2 , & !: Stickiness |
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| 40 | xkr_nnano = 2.337 , & !: Nbr of cell in nano size class |
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| 41 | xkr_ndiat = 3.718 , & !: Nbr of cell in diatoms size class |
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| 42 | xkr_nmeso = 7.147 , & !: Nbr of cell in mesozoo size class |
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| 43 | xkr_naggr = 9.877 !: Nbr of cell in aggregates size class |
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| 44 | |
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| 45 | REAL(wp) :: & |
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| 46 | xkr_frac |
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| 47 | |
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| 48 | REAL(wp), PUBLIC :: & |
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| 49 | xkr_dnano , & !: Size of particles in nano pool |
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| 50 | xkr_ddiat , & !: Size of particles in diatoms pool |
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| 51 | xkr_dmeso , & !: Size of particles in mesozoo pool |
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| 52 | xkr_daggr , & !: Size of particles in aggregates pool |
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| 53 | xkr_wsbio_min , & !: min vertical particle speed |
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| 54 | xkr_wsbio_max !: max vertical particle speed |
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| 55 | |
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| 56 | REAL(wp), PUBLIC, DIMENSION(jpk) :: & !: |
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| 57 | xnumm !: maximum number of particles in aggregates |
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| 58 | |
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| 59 | #endif |
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| 60 | |
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| 61 | #if ! defined key_kriest |
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| 62 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & !: |
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| 63 | sinkfer2 !: Big Fe sinking flux |
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| 64 | #endif |
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| 65 | |
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| 66 | !!* Substitution |
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| 67 | # include "domzgr_substitute.h90" |
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| 68 | !!---------------------------------------------------------------------- |
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| 69 | !! NEMO/TOP 2.0 , LOCEAN-IPSL (2007) |
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| 70 | !! $Header:$ |
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| 71 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 72 | !!---------------------------------------------------------------------- |
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| 73 | |
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| 74 | CONTAINS |
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| 75 | |
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| 76 | #if defined key_kriest |
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| 77 | |
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| 78 | SUBROUTINE p4z_sink ( kt, jnt ) |
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| 79 | !!--------------------------------------------------------------------- |
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| 80 | !! *** ROUTINE p4z_sink *** |
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| 81 | !! |
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| 82 | !! ** Purpose : Compute vertical flux of particulate matter due to |
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| 83 | !! gravitational sinking - Kriest parameterization |
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| 84 | !! |
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| 85 | !! ** Method : - ??? |
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| 86 | !!--------------------------------------------------------------------- |
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| 87 | |
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| 88 | INTEGER, INTENT(in) :: kt, jnt |
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| 89 | INTEGER :: ji, jj, jk |
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| 90 | INTEGER :: iksed |
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| 91 | REAL(wp) :: zagg1, zagg2, zagg3, zagg4, zagg5, zaggsi, zaggsh |
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| 92 | REAL(wp) :: zagg , zaggdoc, znumdoc |
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| 93 | REAL(wp) :: znum , zeps, zfm, zgm, zsm |
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| 94 | REAL(wp) :: zdiv , zdiv1, zdiv2, zdiv3, zdiv4, zdiv5 |
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| 95 | REAL(wp) :: zval1, zval2, zval3, zval4 |
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| 96 | REAL(wp) :: zstep |
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| 97 | #if defined key_trc_dia3d |
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| 98 | REAL(wp) :: zrfact2 |
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| 99 | #endif |
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| 100 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: znum3d |
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| 101 | CHARACTER (len=25) :: charout |
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| 102 | |
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| 103 | !!--------------------------------------------------------------------- |
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| 104 | |
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| 105 | IF( ( kt * jnt ) == nittrc000 ) CALL p4z_sink_init ! Initialization (first time-step only) |
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| 106 | |
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| 107 | zstep = rfact2 / rjjss ! Time step duration for biology |
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| 108 | |
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| 109 | |
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| 110 | ! Initialisation of variables used to compute Sinking Speed |
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| 111 | ! --------------------------------------------------------- |
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| 112 | |
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| 113 | znum3d(:,:,:) = 0.e0 |
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| 114 | iksed = 10 |
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| 115 | zval1 = 1. + xkr_zeta |
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| 116 | zval2 = 1. + xkr_zeta + xkr_eta |
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| 117 | zval3 = 1. + xkr_eta |
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| 118 | |
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| 119 | ! Computation of the vertical sinking speed : Kriest et Evans, 2000 |
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| 120 | ! ----------------------------------------------------------------- |
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| 121 | |
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| 122 | DO jk = 1, jpkm1 |
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| 123 | DO jj = 1, jpj |
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| 124 | DO ji = 1, jpi |
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| 125 | IF( tmask(ji,jj,jk) /= 0.e0 ) THEN |
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| 126 | znum = trn(ji,jj,jk,jppoc) / ( trn(ji,jj,jk,jpnum) + rtrn ) / xkr_massp |
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| 127 | ! -------------- To avoid sinking speed over 50 m/day ------- |
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| 128 | znum = MIN( xnumm(jk), znum ) |
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| 129 | znum = MAX( 1.1 , znum ) |
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| 130 | znum3d(ji,jj,jk) = znum |
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| 131 | !------------------------------------------------------------ |
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| 132 | zeps = ( zval1 * znum - 1. )/ ( znum - 1. ) |
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| 133 | zfm = xkr_frac**( 1. - zeps ) |
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| 134 | zgm = xkr_frac**( zval1 - zeps ) |
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| 135 | zdiv = MAX( 1.e-4, ABS( zeps - zval2 ) ) * SIGN( 1., ( zeps - zval2 ) ) |
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| 136 | zdiv1 = zeps - zval3 |
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| 137 | wsbio3(ji,jj,jk) = xkr_wsbio_min * ( zeps - zval1 ) / zdiv & |
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| 138 | & - xkr_wsbio_max * zgm * xkr_eta / zdiv |
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| 139 | wsbio4(ji,jj,jk) = xkr_wsbio_min * ( zeps-1. ) / zdiv1 & |
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| 140 | & - xkr_wsbio_max * zfm * xkr_eta / zdiv1 |
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| 141 | IF( znum == 1.1) wsbio3(ji,jj,jk) = wsbio4(ji,jj,jk) |
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| 142 | ENDIF |
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| 143 | END DO |
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| 144 | END DO |
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| 145 | END DO |
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| 146 | |
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| 147 | wscal(:,:,:) = MAX( wsbio3(:,:,:), 50. ) |
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| 148 | |
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| 149 | |
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| 150 | ! INITIALIZE TO ZERO ALL THE SINKING ARRAYS |
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| 151 | ! ----------------------------------------- |
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| 152 | |
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| 153 | sinking (:,:,:) = 0.e0 |
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| 154 | sinking2(:,:,:) = 0.e0 |
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| 155 | sinkcal (:,:,:) = 0.e0 |
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| 156 | sinkfer (:,:,:) = 0.e0 |
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| 157 | sinksil (:,:,:) = 0.e0 |
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| 158 | |
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| 159 | ! Compute the sedimentation term using p4zsink2 for all |
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| 160 | ! the sinking particles |
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| 161 | ! ----------------------------------------------------- |
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| 162 | |
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| 163 | CALL p4z_sink2( wsbio3, sinking , jppoc ) |
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| 164 | CALL p4z_sink2( wsbio4, sinking2, jpnum ) |
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| 165 | CALL p4z_sink2( wsbio3, sinkfer , jpsfe ) |
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| 166 | CALL p4z_sink2( wscal , sinksil , jpdsi ) |
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| 167 | CALL p4z_sink2( wscal , sinkcal , jpcal ) |
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| 168 | |
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| 169 | ! Exchange between organic matter compartments due to |
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| 170 | ! coagulation/disaggregation |
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| 171 | ! --------------------------------------------------- |
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| 172 | |
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| 173 | zval1 = 1. + xkr_zeta |
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| 174 | zval2 = 1. + xkr_eta |
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| 175 | zval3 = 3. + xkr_eta |
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| 176 | zval4 = 4. + xkr_eta |
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| 177 | |
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| 178 | DO jk = 1,jpkm1 |
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| 179 | DO jj = 1,jpj |
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| 180 | DO ji = 1,jpi |
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| 181 | IF( tmask(ji,jj,jk) /= 0.e0 ) THEN |
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| 182 | |
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| 183 | znum = trn(ji,jj,jk,jppoc)/(trn(ji,jj,jk,jpnum)+rtrn) / xkr_massp |
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| 184 | ! -------------- To avoid sinking speed over 50 m/day ------- |
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| 185 | znum = min(xnumm(jk),znum) |
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| 186 | znum = MAX( 1.1,znum) |
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| 187 | !------------------------------------------------------------ |
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| 188 | zeps = ( zval1 * znum - 1.) / ( znum - 1.) |
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| 189 | zdiv = MAX( 1.e-4, ABS( zeps - zval3) ) * SIGN( 1., zeps - zval3 ) |
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| 190 | zdiv1 = MAX( 1.e-4, ABS( zeps - 4. ) ) * SIGN( 1., zeps - 4. ) |
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| 191 | zdiv2 = zeps - 2. |
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| 192 | zdiv3 = zeps - 3. |
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| 193 | zdiv4 = zeps - zval2 |
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| 194 | zdiv5 = 2.* zeps - zval4 |
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| 195 | zfm = xkr_frac**( 1.- zeps ) |
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| 196 | zsm = xkr_frac**xkr_eta |
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| 197 | |
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| 198 | ! Part I : Coagulation dependant on turbulence |
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| 199 | ! ---------------------------------------------- |
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| 200 | |
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| 201 | zagg1 = ( 0.163 * trn(ji,jj,jk,jpnum)**2 & |
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| 202 | & * 2.*( (zfm-1.)*(zfm*xkr_mass_max**3-xkr_mass_min**3) & |
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| 203 | & * (zeps-1)/zdiv1 + 3.*(zfm*xkr_mass_max-xkr_mass_min) & |
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| 204 | & * (zfm*xkr_mass_max**2-xkr_mass_min**2) & |
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| 205 | & * (zeps-1.)**2/(zdiv2*zdiv3)) & |
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| 206 | # if defined key_off_degrad |
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| 207 | & *facvol(ji,jj,jk) & |
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| 208 | # endif |
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| 209 | & ) |
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| 210 | |
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| 211 | zagg2 = ( 2*0.163*trn(ji,jj,jk,jpnum)**2*zfm* & |
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| 212 | & ((xkr_mass_max**3+3.*(xkr_mass_max**2 & |
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| 213 | & *xkr_mass_min*(zeps-1.)/zdiv2 & |
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| 214 | & +xkr_mass_max*xkr_mass_min**2*(zeps-1.)/zdiv3) & |
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| 215 | & +xkr_mass_min**3*(zeps-1)/zdiv1) & |
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| 216 | & -zfm*xkr_mass_max**3*(1.+3.*((zeps-1.)/ & |
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| 217 | & (zeps-2.)+(zeps-1.)/zdiv3)+(zeps-1.)/zdiv1)) & |
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| 218 | # if defined key_off_degrad |
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| 219 | & *facvol(ji,jj,jk) & |
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| 220 | # endif |
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| 221 | & ) |
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| 222 | |
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| 223 | zagg3 = ( 0.163*trn(ji,jj,jk,jpnum)**2*zfm**2*8. * xkr_mass_max**3 & |
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| 224 | # if defined key_off_degrad |
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| 225 | & *facvol(ji,jj,jk) & |
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| 226 | # endif |
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| 227 | & ) |
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| 228 | |
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| 229 | zaggsh = ( zagg1 + zagg2 + zagg3 ) * rfact2 * xdiss(ji,jj,jk) / 1000. |
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| 230 | |
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| 231 | ! Aggregation of small into large particles |
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| 232 | ! Part II : Differential settling |
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| 233 | ! ---------------------------------------------- |
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| 234 | |
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| 235 | zagg4 = ( 2.*3.141*0.125*trn(ji,jj,jk,jpnum)**2* & |
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| 236 | & xkr_wsbio_min*(zeps-1.)**2 & |
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| 237 | & *(xkr_mass_min**2*((1.-zsm*zfm)/(zdiv3*zdiv4) & |
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| 238 | & -(1.-zfm)/(zdiv*(zeps-1.)))- & |
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| 239 | & ((zfm*zfm*xkr_mass_max**2*zsm-xkr_mass_min**2) & |
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| 240 | & *xkr_eta)/(zdiv*zdiv3*zdiv5) ) & |
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| 241 | # if defined key_off_degrad |
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| 242 | & *facvol(ji,jj,jk) & |
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| 243 | # endif |
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| 244 | & ) |
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| 245 | |
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| 246 | zagg5 = ( 2.*3.141*0.125*trn(ji,jj,jk,jpnum)**2 & |
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| 247 | & *(zeps-1.)*zfm*xkr_wsbio_min & |
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| 248 | & *(zsm*(xkr_mass_min**2-zfm*xkr_mass_max**2) & |
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| 249 | & /zdiv3-(xkr_mass_min**2-zfm*zsm*xkr_mass_max**2) & |
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| 250 | & /zdiv) & |
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| 251 | # if defined key_off_degrad |
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| 252 | & *facvol(ji,jj,jk) & |
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| 253 | # endif |
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| 254 | & ) |
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| 255 | |
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| 256 | zaggsi = ( zagg4 + zagg5 ) * zstep / 10. |
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| 257 | |
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| 258 | zagg = 0.5 * xkr_stick * ( zaggsh + zaggsi ) |
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| 259 | |
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| 260 | ! Aggregation of DOC to small particles |
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| 261 | ! -------------------------------------- |
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| 262 | |
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| 263 | zaggdoc = ( 0.4 * trn(ji,jj,jk,jpdoc) & |
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| 264 | & + 1018. * trn(ji,jj,jk,jppoc) ) * zstep & |
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| 265 | # if defined key_off_degrad |
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| 266 | & * facvol(ji,jj,jk) & |
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| 267 | # endif |
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| 268 | & * xdiss(ji,jj,jk) * trn(ji,jj,jk,jpdoc) |
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| 269 | |
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| 270 | znumdoc = trn(ji,jj,jk,jpnum) / ( trn(ji,jj,jk,jppoc) + rtrn ) |
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| 271 | tra(ji,jj,jk,jppoc) = tra(ji,jj,jk,jppoc) + zaggdoc |
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| 272 | tra(ji,jj,jk,jpnum) = tra(ji,jj,jk,jpnum) + zaggdoc * znumdoc - zagg |
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| 273 | tra(ji,jj,jk,jpdoc) = tra(ji,jj,jk,jpdoc) - zaggdoc |
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| 274 | |
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| 275 | ENDIF |
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| 276 | END DO |
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| 277 | END DO |
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| 278 | END DO |
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| 279 | |
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| 280 | # if defined key_trc_dia3d |
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| 281 | zrfact2 = 1.e3 * rfact2r |
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| 282 | trc2d(:,:, 5) = sinking (:,:,iksed+1) * zrfact2 |
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| 283 | trc2d(:,:, 6) = sinking2(:,:,iksed+1) * zrfact2 |
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| 284 | trc2d(:,:, 7) = sinkfer (:,:,iksed+1) * zrfact2 |
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| 285 | trc2d(:,:, 9) = sinksil (:,:,iksed+1) * zrfact2 |
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| 286 | trc2d(:,:,10) = sinkcal (:,:,iksed+1) * zrfact2 |
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| 287 | trc3d(:,:,:,12) = sinking (:,:,:) * zrfact2 |
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| 288 | trc3d(:,:,:,13) = sinking2(:,:,:) * zrfact2 |
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| 289 | trc3d(:,:,:,14) = sinksil (:,:,:) * zrfact2 |
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| 290 | trc3d(:,:,:,15) = sinkcal (:,:,:) * zrfact2 |
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| 291 | trc3d(:,:,:,16) = znum3d (:,:,:) |
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| 292 | trc3d(:,:,:,17) = wsbio3 (:,:,:) |
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| 293 | trc3d(:,:,:,18) = wsbio4 (:,:,:) |
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| 294 | # endif |
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| 295 | ! |
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| 296 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
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| 297 | WRITE(charout, FMT="('sink')") |
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| 298 | CALL prt_ctl_trc_info(charout) |
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| 299 | CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm) |
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| 300 | ENDIF |
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| 301 | |
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| 302 | END SUBROUTINE p4z_sink |
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| 303 | |
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| 304 | SUBROUTINE p4z_sink_init |
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| 305 | !!---------------------------------------------------------------------- |
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| 306 | !! *** ROUTINE p4z_sink_init *** |
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| 307 | !! |
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| 308 | !! ** Purpose : Initialization of sinking parameters |
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| 309 | !! Kriest parameterization only |
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| 310 | !! |
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| 311 | !! ** Method : Read the natkriest namelist and check the parameters |
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| 312 | !! called at the first timestep (nittrc000) |
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| 313 | !! |
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| 314 | !! ** input : Namelist natkriest |
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| 315 | !! |
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| 316 | !!---------------------------------------------------------------------- |
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| 317 | INTEGER :: jk, jn, kiter |
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| 318 | REAL(wp) :: znum, zdiv |
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| 319 | REAL(wp) :: zws, zwr, zwl,wmax, znummax |
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| 320 | REAL(wp) :: zmin, zmax, zl, zr, xacc |
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| 321 | |
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| 322 | NAMELIST/natkrsize/ xkr_sfact, xkr_stick , & |
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| 323 | & xkr_nnano, xkr_ndiat, xkr_nmeso, xkr_naggr |
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| 324 | |
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| 325 | !!---------------------------------------------------------------------- |
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| 326 | ! ! natkriest : kriest parameters |
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| 327 | ! ! ----------------------------- |
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| 328 | REWIND( numnat ) ! read natkriest |
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| 329 | READ ( numnat, natkrsize ) |
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| 330 | |
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| 331 | IF(lwp) THEN |
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| 332 | WRITE(numout,*) |
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| 333 | WRITE(numout,*) ' Namelist : natkrsize' |
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| 334 | WRITE(numout,*) ' Sinking factor xkr_sfact = ', xkr_sfact |
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| 335 | WRITE(numout,*) ' Stickiness xkr_stick = ', xkr_stick |
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| 336 | WRITE(numout,*) ' Nbr of cell in nano size class xkr_nnano = ', xkr_nnano |
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| 337 | WRITE(numout,*) ' Nbr of cell in diatoms size class xkr_ndiat = ', xkr_ndiat |
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| 338 | WRITE(numout,*) ' Nbr of cell in mesozoo size class xkr_nmeso = ', xkr_nmeso |
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| 339 | WRITE(numout,*) ' Nbr of cell in aggregates size class xkr_naggr = ', xkr_naggr |
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| 340 | ENDIF |
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| 341 | |
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| 342 | |
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| 343 | ! max and min vertical particle speed |
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| 344 | xkr_wsbio_min = xkr_sfact * xkr_mass_min**xkr_eta |
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| 345 | xkr_wsbio_max = xkr_sfact * xkr_mass_max**xkr_eta |
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| 346 | WRITE(numout,*) ' max and min vertical particle speed ', xkr_wsbio_min, xkr_wsbio_max |
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| 347 | |
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| 348 | ! |
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| 349 | ! effect of the sizes of the different living pools on particle numbers |
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| 350 | ! nano = 2um-20um -> mean size=6.32 um -> ws=2.596 -> xnum=xnnano=2.337 |
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| 351 | ! diat and microzoo = 10um-200um -> 44.7 -> 8.732 -> xnum=xndiat=3.718 |
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| 352 | ! mesozoo = 200um-2mm -> 632.45 -> 45.14 -> xnum=xnmeso=7.147 |
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| 353 | ! aggregates = 200um-10mm -> 1414 -> 74.34 -> xnum=xnaggr=9.877 |
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| 354 | ! doc aggregates = 1um |
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| 355 | ! ---------------------------------------------------------- |
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| 356 | |
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| 357 | xkr_dnano = 1. / ( xkr_massp * xkr_nnano ) |
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| 358 | xkr_ddiat = 1. / ( xkr_massp * xkr_ndiat ) |
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| 359 | xkr_dmeso = 1. / ( xkr_massp * xkr_nmeso ) |
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| 360 | xkr_daggr = 1. / ( xkr_massp * xkr_naggr ) |
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| 361 | |
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| 362 | !!--------------------------------------------------------------------- |
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| 363 | !! 'key_kriest' ??? |
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| 364 | !!--------------------------------------------------------------------- |
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| 365 | ! COMPUTATION OF THE VERTICAL PROFILE OF MAXIMUM SINKING SPEED |
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| 366 | ! Search of the maximum number of particles in aggregates for each k-level. |
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| 367 | ! Bissection Method |
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| 368 | !-------------------------------------------------------------------- |
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| 369 | WRITE(numout,*) |
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| 370 | WRITE(numout,*)' kriest : Compute maximum number of particles in aggregates' |
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| 371 | |
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| 372 | xacc = 0.001 |
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| 373 | kiter = 50 |
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| 374 | zmin = 1.10 |
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| 375 | zmax = xkr_mass_max / xkr_mass_min |
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| 376 | xkr_frac = zmax |
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| 377 | |
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| 378 | DO jk = 1,jpk |
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| 379 | zl = zmin |
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| 380 | zr = zmax |
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| 381 | wmax = 0.5 * fse3t(1,1,jk) * rjjss / rfact2 |
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| 382 | zdiv = xkr_zeta + xkr_eta - xkr_eta * zl |
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| 383 | znum = zl - 1. |
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| 384 | zwl = xkr_wsbio_min * xkr_zeta / zdiv & |
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| 385 | & - ( xkr_wsbio_max * xkr_eta * znum * & |
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| 386 | & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & |
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| 387 | & - wmax |
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| 388 | |
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| 389 | zdiv = xkr_zeta + xkr_eta - xkr_eta * zr |
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| 390 | znum = zr - 1. |
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| 391 | zwr = xkr_wsbio_min * xkr_zeta / zdiv & |
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| 392 | & - ( xkr_wsbio_max * xkr_eta * znum * & |
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| 393 | & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & |
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| 394 | & - wmax |
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| 395 | iflag: DO jn = 1, kiter |
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| 396 | IF( zwl == 0.e0 ) THEN |
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| 397 | znummax = zl |
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| 398 | ELSE IF ( zwr == 0.e0 ) THEN |
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| 399 | znummax = zr |
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| 400 | ELSE |
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| 401 | znummax = ( zr + zl ) / 2. |
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| 402 | zdiv = xkr_zeta + xkr_eta - xkr_eta * znummax |
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| 403 | znum = znummax - 1. |
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| 404 | zws = xkr_wsbio_min * xkr_zeta / zdiv & |
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| 405 | & - ( xkr_wsbio_max * xkr_eta * znum * & |
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| 406 | & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & |
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| 407 | & - wmax |
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| 408 | IF( zws * zwl < 0. ) THEN |
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| 409 | zr = znummax |
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| 410 | ELSE |
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| 411 | zl = znummax |
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| 412 | ENDIF |
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| 413 | zdiv = xkr_zeta + xkr_eta - xkr_eta * zl |
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| 414 | znum = zl - 1. |
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| 415 | zwl = xkr_wsbio_min * xkr_zeta / zdiv & |
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| 416 | & - ( xkr_wsbio_max * xkr_eta * znum * & |
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| 417 | & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & |
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| 418 | & - wmax |
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| 419 | |
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| 420 | zdiv = xkr_zeta + xkr_eta - xkr_eta * zr |
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| 421 | znum = zr - 1. |
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| 422 | zwr = xkr_wsbio_min * xkr_zeta / zdiv & |
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| 423 | & - ( xkr_wsbio_max * xkr_eta * znum * & |
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| 424 | & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & |
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| 425 | & - wmax |
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| 426 | |
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| 427 | IF ( ABS ( zws ) <= xacc ) EXIT iflag |
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| 428 | |
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| 429 | ENDIF |
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| 430 | |
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| 431 | END DO iflag |
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| 432 | |
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| 433 | xnumm(jk) = znummax |
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| 434 | WRITE(numout,*) ' jk = ', jk, ' wmax = ', wmax,' xnum max = ', xnumm(jk) |
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| 435 | |
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| 436 | END DO |
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| 437 | |
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| 438 | END SUBROUTINE p4z_sink_init |
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| 439 | |
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| 440 | #else |
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| 441 | |
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| 442 | SUBROUTINE p4z_sink ( kt, jnt ) |
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| 443 | !!--------------------------------------------------------------------- |
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| 444 | !! *** ROUTINE p4z_sink *** |
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| 445 | !! |
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| 446 | !! ** Purpose : Compute vertical flux of particulate matter due to |
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| 447 | !! gravitational sinking |
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| 448 | !! |
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| 449 | !! ** Method : - ??? |
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| 450 | !!--------------------------------------------------------------------- |
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| 451 | INTEGER, INTENT(in) :: kt, jnt |
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| 452 | INTEGER :: ji, jj, jk |
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| 453 | INTEGER :: iksed |
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| 454 | REAL(wp) :: zagg1, zagg2, zagg3, zagg4 |
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| 455 | REAL(wp) :: zagg , zaggfe, zaggdoc, zaggdoc2 |
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| 456 | REAL(wp) :: zfact, zstep, zwsmax |
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| 457 | #if defined key_trc_dia3d |
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| 458 | REAL(wp) :: zrfact2 |
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| 459 | #endif |
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| 460 | CHARACTER (len=25) :: charout |
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| 461 | !!--------------------------------------------------------------------- |
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| 462 | |
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| 463 | zstep = rfact2 / rjjss ! Timestep duration for biology |
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| 464 | |
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| 465 | |
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| 466 | ! Sinking speeds of detritus is increased with depth as shown |
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| 467 | ! by data and from the coagulation theory |
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| 468 | ! ----------------------------------------------------------- |
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| 469 | |
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| 470 | iksed = 10 |
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| 471 | |
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| 472 | DO jk = 1, jpkm1 |
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| 473 | DO jj = 1, jpj |
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| 474 | DO ji=1,jpi |
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| 475 | zfact = MAX( 0., fsdepw(ji,jj,jk+1)-hmld(ji,jj) ) / 4000. |
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| 476 | wsbio4(ji,jj,jk) = wsbio2 + ( 200.- wsbio2 ) * zfact |
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| 477 | END DO |
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| 478 | END DO |
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| 479 | END DO |
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| 480 | |
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| 481 | ! LIMIT THE VALUES OF THE SINKING SPEEDS |
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| 482 | ! TO AVOID NUMERICAL INSTABILITIES |
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| 483 | |
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| 484 | wsbio3(:,:,:) = wsbio |
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| 485 | ! |
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| 486 | ! OA Below, this is garbage. the ideal would be to find a time-splitting |
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| 487 | ! OA algorithm that does not increase the computing cost by too much |
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| 488 | ! OA In ROMS, I have included a time-splitting procedure. But it is |
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| 489 | ! OA too expensive as the loop is computed globally. Thus, a small e3t |
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| 490 | ! OA at one place determines the number of subtimesteps globally |
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| 491 | ! OA AWFULLY EXPENSIVE !! Not able to find a better approach. Damned !! |
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| 492 | |
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| 493 | DO jk = 1,jpkm1 |
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| 494 | DO jj = 1, jpj |
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| 495 | DO ji = 1, jpi |
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| 496 | zwsmax = 0.8 * fse3t(ji,jj,jk) / zstep |
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| 497 | wsbio4(ji,jj,jk) = MIN( wsbio4(ji,jj,jk), zwsmax ) |
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| 498 | wsbio3(ji,jj,jk) = MIN( wsbio3(ji,jj,jk), zwsmax ) |
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| 499 | END DO |
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| 500 | END DO |
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| 501 | END DO |
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| 502 | |
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| 503 | wscal(:,:,:) = wsbio4(:,:,:) |
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| 504 | |
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| 505 | ! INITIALIZE TO ZERO ALL THE SINKING ARRAYS |
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| 506 | ! ----------------------------------------- |
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| 507 | |
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| 508 | sinking (:,:,:) = 0.e0 |
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| 509 | sinking2(:,:,:) = 0.e0 |
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| 510 | sinkcal (:,:,:) = 0.e0 |
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| 511 | sinkfer (:,:,:) = 0.e0 |
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| 512 | sinksil (:,:,:) = 0.e0 |
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| 513 | sinkfer2(:,:,:) = 0.e0 |
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| 514 | |
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| 515 | ! Compute the sedimentation term using p4zsink2 for all |
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| 516 | ! the sinking particles |
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| 517 | ! ----------------------------------------------------- |
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| 518 | |
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| 519 | CALL p4z_sink2( wsbio3, sinking , jppoc ) |
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| 520 | CALL p4z_sink2( wsbio3, sinkfer , jpsfe ) |
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| 521 | CALL p4z_sink2( wsbio4, sinking2, jpgoc ) |
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| 522 | CALL p4z_sink2( wsbio4, sinkfer2, jpbfe ) |
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| 523 | CALL p4z_sink2( wsbio4, sinksil , jpdsi ) |
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| 524 | CALL p4z_sink2( wscal , sinkcal , jpcal ) |
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| 525 | |
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| 526 | ! Exchange between organic matter compartments due to |
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| 527 | ! coagulation/disaggregation |
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| 528 | ! --------------------------------------------------- |
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| 529 | |
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| 530 | DO jk = 1, jpkm1 |
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| 531 | DO jj = 1, jpj |
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| 532 | DO ji = 1, jpi |
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| 533 | zfact = zstep * xdiss(ji,jj,jk) |
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| 534 | |
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| 535 | ! Part I : Coagulation dependent on turbulence |
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| 536 | ! ---------------------------------------------- |
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| 537 | |
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| 538 | # if defined key_off_degrad |
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| 539 | zagg1 = 940.* zfact * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jppoc) * facvol(ji,jj,jk) |
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| 540 | # else |
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| 541 | zagg1 = 940.* zfact * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jppoc) |
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| 542 | # endif |
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| 543 | |
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| 544 | # if defined key_off_degrad |
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| 545 | zagg2 = 1.054e4 * zfact * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jpgoc) * facvol(ji,jj,jk) |
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| 546 | # else |
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| 547 | zagg2 = 1.054e4 * zfact * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jpgoc) |
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| 548 | # endif |
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| 549 | |
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| 550 | ! Aggregation of small into large particles |
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| 551 | ! Part II : Differential settling |
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| 552 | ! ---------------------------------------------- |
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| 553 | |
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| 554 | # if defined key_off_degrad |
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| 555 | zagg3 = 0.66 * zstep * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jpgoc) * facvol(ji,jj,jk) |
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| 556 | # else |
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| 557 | zagg3 = 0.66 * zstep * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jpgoc) |
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| 558 | # endif |
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| 559 | |
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| 560 | # if defined key_off_degrad |
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| 561 | zagg4 = 0.e0 * zstep * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jppoc) * facvol(ji,jj,jk) |
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| 562 | # else |
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| 563 | zagg4 = 0.e0 * zstep * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jppoc) |
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| 564 | # endif |
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| 565 | |
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| 566 | zagg = zagg1 + zagg2 + zagg3 + zagg4 |
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| 567 | zaggfe = zagg * trn(ji,jj,jk,jpsfe) / ( trn(ji,jj,jk,jppoc) + rtrn ) |
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| 568 | |
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| 569 | ! Aggregation of DOC to small particles |
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| 570 | ! -------------------------------------- |
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| 571 | |
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| 572 | zaggdoc = ( 80.* trn(ji,jj,jk,jpdoc) + 698. * trn(ji,jj,jk,jppoc) ) & |
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| 573 | # if defined key_off_degrad |
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| 574 | & * facvol(ji,jj,jk) & |
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| 575 | # endif |
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| 576 | & * zfact * trn(ji,jj,jk,jpdoc) |
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| 577 | |
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| 578 | zaggdoc2 = 1.05e4 * zfact * trn(ji,jj,jk,jpgoc) & |
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| 579 | # if defined key_off_degrad |
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| 580 | & * facvol(ji,jj,jk) & |
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| 581 | # endif |
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| 582 | & * trn(ji,jj,jk,jpdoc) |
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| 583 | ! |
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| 584 | ! Update the trends |
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| 585 | ! ----------------- |
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| 586 | ! |
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| 587 | tra(ji,jj,jk,jppoc) = tra(ji,jj,jk,jppoc) - zagg + zaggdoc |
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| 588 | tra(ji,jj,jk,jpgoc) = tra(ji,jj,jk,jpgoc) + zagg + zaggdoc2 |
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| 589 | tra(ji,jj,jk,jpsfe) = tra(ji,jj,jk,jpsfe) - zaggfe |
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| 590 | tra(ji,jj,jk,jpbfe) = tra(ji,jj,jk,jpbfe) + zaggfe |
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| 591 | tra(ji,jj,jk,jpdoc) = tra(ji,jj,jk,jpdoc) - zaggdoc - zaggdoc2 |
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| 592 | |
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| 593 | END DO |
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| 594 | END DO |
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| 595 | END DO |
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| 596 | |
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| 597 | # if defined key_trc_dia3d |
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| 598 | zrfact2 = 1.e3 * rfact2r |
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| 599 | trc2d(:,:, 5) = sinking (:,:,iksed+1) * zrfact2 |
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| 600 | trc2d(:,:, 6) = sinking2(:,:,iksed+1) * zrfact2 |
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| 601 | trc2d(:,:, 7) = sinkfer (:,:,iksed+1) * zrfact2 |
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| 602 | trc2d(:,:, 8) = sinkfer2(:,:,iksed+1) * zrfact2 |
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| 603 | trc2d(:,:, 9) = sinksil (:,:,iksed+1) * zrfact2 |
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| 604 | trc2d(:,:,10) = sinkcal (:,:,iksed+1) * zrfact2 |
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| 605 | # endif |
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| 606 | ! |
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| 607 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
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| 608 | WRITE(charout, FMT="('sink')") |
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| 609 | CALL prt_ctl_trc_info(charout) |
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| 610 | CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm) |
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| 611 | ENDIF |
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| 612 | |
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| 613 | END SUBROUTINE p4z_sink |
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| 614 | |
---|
| 615 | #endif |
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| 616 | |
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| 617 | #else |
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| 618 | !!====================================================================== |
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| 619 | !! Dummy module : No PISCES bio-model |
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| 620 | !!====================================================================== |
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| 621 | CONTAINS |
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| 622 | SUBROUTINE p4z_sink ! Empty routine |
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| 623 | END SUBROUTINE p4z_sink |
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| 624 | #endif |
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| 625 | |
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| 626 | !!====================================================================== |
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| 627 | END MODULE p4zsink |
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