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 | |
---|
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 | |
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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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