1 | MODULE p4zsink_kriest |
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2 | !!====================================================================== |
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3 | !! *** MODULE p4zsink_kriest *** |
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4 | !! TOP : PISCES Compute vertical flux of particulate matter due to gravitational sinking |
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5 | !! Kriest parameterization |
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6 | !!====================================================================== |
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7 | !! History : 1.0 ! 2004 (O. Aumont) Original code |
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8 | !! 2.0 ! 2007-12 (C. Ethe, G. Madec) F90 |
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9 | !!---------------------------------------------------------------------- |
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10 | #if defined key_pisces && defined key_kriest |
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11 | !!---------------------------------------------------------------------- |
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12 | !! 'key_pisces' and PISCES bio-model |
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13 | !! 'key_kriest' kriest option |
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14 | !!---------------------------------------------------------------------- |
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15 | !! p4z_sink_kriest : Compute vertical flux of particulate matter due |
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16 | !! to gravitational sinking (Kriest parameterization) |
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17 | !!---------------------------------------------------------------------- |
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18 | USE oce_trc ! |
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19 | USE trp_trc |
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20 | USE sms |
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21 | USE p4zsink2 |
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22 | |
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23 | IMPLICIT NONE |
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24 | PRIVATE |
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25 | |
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26 | PUBLIC p4z_sink_kriest ! called in p4zbio.F90 |
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27 | |
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28 | !!* Substitution |
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29 | # include "domzgr_substitute.h90" |
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30 | !!---------------------------------------------------------------------- |
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31 | !! NEMO/TOP 2.0 , LOCEAN-IPSL (2007) |
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32 | !! $Header:$ |
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33 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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34 | !!---------------------------------------------------------------------- |
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35 | |
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36 | CONTAINS |
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37 | |
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38 | SUBROUTINE p4z_sink_kriest |
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39 | !!--------------------------------------------------------------------- |
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40 | !! *** ROUTINE p4z_sink_kriest *** |
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41 | !! |
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42 | !! ** Purpose : Compute vertical flux of particulate matter due to |
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43 | !! gravitational sinking - Kriest parameterization |
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44 | !! |
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45 | !! ** Method : - ??? |
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46 | !!--------------------------------------------------------------------- |
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47 | INTEGER :: ji, jj, jk |
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48 | INTEGER :: iksed |
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49 | REAL(wp) :: zagg1, zagg2, zagg3, zagg4, zagg5, zaggsi, zaggsh |
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50 | REAL(wp) :: znum , zeps, zfm, zgm, zsm |
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51 | REAL(wp) :: zdiv , zdiv1, zdiv2, zdiv3, zdiv4, zdiv5 |
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52 | REAL(wp) :: zval1, zval2, zval3, zval4 |
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53 | REAL(wp) :: zstep |
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54 | #if defined key_trc_dia3d |
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55 | REAL(wp) :: zrfact2 |
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56 | #endif |
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57 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: znum3d |
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58 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: sinking, sinking2 |
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59 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: sinkfer |
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60 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: sinkcal, sinksil |
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61 | !!--------------------------------------------------------------------- |
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62 | |
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63 | zstep=rfact2/rjjss ! Time step duration for biology |
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64 | |
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65 | |
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66 | ! Initialisation of variables used to compute Sinking Speed |
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67 | ! --------------------------------------------------------- |
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68 | |
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69 | znum3d(:,:,:) = 0.e0 |
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70 | iksed = 10 |
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71 | zval1 = 1. + xkr_zeta |
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72 | zval2 = 1. + xkr_zeta + xkr_eta |
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73 | zval3 = 1. + xkr_eta |
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74 | |
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75 | ! Computation of the vertical sinking speed : Kriest et Evans, 2000 |
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76 | ! ----------------------------------------------------------------- |
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77 | |
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78 | DO jk = 1, jpkm1 |
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79 | DO jj = 1, jpj |
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80 | DO ji = 1, jpi |
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81 | IF( tmask(ji,jj,jk) /= 0.e0 ) THEN |
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82 | znum = trn(ji,jj,jk,jppoc) / ( trn(ji,jj,jk,jpnum) + rtrn ) / xkr_massp |
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83 | ! -------------- To avoid sinking speed over 50 m/day ------- |
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84 | znum = MIN( xnumm(jk), znum ) |
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85 | znum = MAX( 1.1 , znum ) |
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86 | znum3d(ji,jj,jk) = znum |
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87 | !------------------------------------------------------------ |
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88 | zeps = ( zval1 * znum - 1. )/ ( znum - 1. ) |
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89 | zfm = xkr_frac**( 1. - zeps ) |
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90 | zgm = xkr_frac**( zval1 - zeps ) |
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91 | zdiv = MAX( 1.e-4, ABS( zeps - zval2 ) ) * SIGN( 1., ( zeps - zval2 ) ) |
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92 | zdiv1 = zeps - zval3 |
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93 | !!gmoptimisation possible below |
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94 | wsbio3(ji,jj,jk) = xkr_wsbio_min * ( zeps - zval1 ) / zdiv & |
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95 | & - xkr_wsbio_max * zgm * xkr_eta / zdiv |
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96 | wsbio4(ji,jj,jk) = xkr_wsbio_min * ( zeps-1. ) / zdiv1 & |
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97 | & - xkr_wsbio_max * zfm * xkr_eta / zdiv1 |
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98 | IF( znum == 1.1) wsbio3(ji,jj,jk) = wsbio4(ji,jj,jk) |
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99 | ENDIF |
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100 | END DO |
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101 | END DO |
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102 | END DO |
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103 | |
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104 | wscal(:,:,:) = MAX( wsbio3(:,:,:), 50. ) |
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105 | |
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106 | |
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107 | ! INITIALIZE TO ZERO ALL THE SINKING ARRAYS |
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108 | ! ----------------------------------------- |
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109 | |
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110 | sinking (:,:,:) = 0.e0 |
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111 | sinking2(:,:,:) = 0.e0 |
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112 | sinkcal (:,:,:) = 0.e0 |
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113 | sinkfer (:,:,:) = 0.e0 |
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114 | sinksil (:,:,:) = 0.e0 |
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115 | |
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116 | ! Compute the sedimentation term using p4zsink2 for all |
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117 | ! the sinking particles |
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118 | ! ----------------------------------------------------- |
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119 | |
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120 | CALL p4z_sink2( wsbio3, sinking , jppoc ) |
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121 | CALL p4z_sink2( wsbio4, sinking2, jpnum ) |
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122 | CALL p4z_sink2( wsbio3, sinkfer , jpsfe ) |
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123 | CALL p4z_sink2( wscal , sinksil , jpdsi ) |
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124 | CALL p4z_sink2( wscal , sinkcal , jpcal ) |
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125 | |
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126 | ! Exchange between organic matter compartments due to |
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127 | ! coagulation/disaggregation |
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128 | ! --------------------------------------------------- |
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129 | |
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130 | zval1 = 1. + xkr_zeta |
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131 | zval2 = 1. + xkr_eta |
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132 | zval3 = 3. + xkr_eta |
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133 | zval4 = 4. + xkr_eta |
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134 | |
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135 | DO jk = 1,jpkm1 |
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136 | DO jj = 1,jpj |
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137 | DO ji = 1,jpi |
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138 | IF( tmask(ji,jj,jk) /= 0.e0 ) THEN |
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139 | |
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140 | znum = trn(ji,jj,jk,jppoc)/(trn(ji,jj,jk,jpnum)+rtrn) / xkr_massp |
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141 | ! -------------- To avoid sinking speed over 50 m/day ------- |
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142 | znum = min(xnumm(jk),znum) |
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143 | znum = MAX( 1.1,znum) |
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144 | !------------------------------------------------------------ |
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145 | zeps = ( zval1 * znum - 1.) / ( znum - 1.) |
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146 | zdiv = MAX( 1.e-4, ABS( zeps - zval3) ) * SIGN( 1., zeps - zval3 ) |
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147 | zdiv1 = MAX( 1.e-4, ABS( zeps - 4. ) ) * SIGN( 1., zeps - 4. ) |
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148 | zdiv2 = zeps - 2. |
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149 | zdiv3 = zeps - 3. |
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150 | zdiv4 = zeps - zval2 |
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151 | zdiv5 = 2.* zeps - zval4 |
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152 | zfm = xkr_frac**( 1.- zeps ) |
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153 | zsm = xkr_frac**xkr_eta |
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154 | |
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155 | ! Part I : Coagulation dependant on turbulence |
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156 | ! ---------------------------------------------- |
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157 | |
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158 | zagg1 = ( 0.163 * trn(ji,jj,jk,jpnum)**2 & |
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159 | & * 2.*( (zfm-1.)*(zfm*xkr_mass_max**3-xkr_mass_min**3) & |
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160 | & * (zeps-1)/zdiv1 + 3.*(zfm*xkr_mass_max-xkr_mass_min) & |
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161 | & * (zfm*xkr_mass_max**2-xkr_mass_min**2) & |
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162 | & * (zeps-1.)**2/(zdiv2*zdiv3)) & |
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163 | # if defined key_off_degrad |
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164 | & *facvol(ji,jj,jk) & |
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165 | # endif |
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166 | & ) |
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167 | |
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168 | zagg2 = ( 2*0.163*trn(ji,jj,jk,jpnum)**2*zfm* & |
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169 | & ((xkr_mass_max**3+3.*(xkr_mass_max**2 & |
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170 | & *xkr_mass_min*(zeps-1.)/zdiv2 & |
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171 | & +xkr_mass_max*xkr_mass_min**2*(zeps-1.)/zdiv3) & |
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172 | & +xkr_mass_min**3*(zeps-1)/zdiv1) & |
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173 | & -zfm*xkr_mass_max**3*(1.+3.*((zeps-1.)/ & |
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174 | & (zeps-2.)+(zeps-1.)/zdiv3)+(zeps-1.)/zdiv1)) & |
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175 | # if defined key_off_degrad |
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176 | & *facvol(ji,jj,jk) & |
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177 | # endif |
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178 | & ) |
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179 | |
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180 | zagg3 = ( 0.163*trn(ji,jj,jk,jpnum)**2*zfm**2*8. * xkr_mass_max**3 & |
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181 | # if defined key_off_degrad |
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182 | & *facvol(ji,jj,jk) & |
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183 | # endif |
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184 | & ) |
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185 | |
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186 | zaggsh = ( zagg1 + zagg2 + zagg3 ) * rfact2 * zdiss(ji,jj,jk) / 1000. |
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187 | |
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188 | ! Aggregation of small into large particles |
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189 | ! Part II : Differential settling |
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190 | ! ---------------------------------------------- |
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191 | |
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192 | zagg4 = ( 2.*3.141*0.125*trn(ji,jj,jk,jpnum)**2* & |
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193 | & xkr_wsbio_min*(zeps-1.)**2 & |
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194 | & *(xkr_mass_min**2*((1.-zsm*zfm)/(zdiv3*zdiv4) & |
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195 | & -(1.-zfm)/(zdiv*(zeps-1.)))- & |
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196 | & ((zfm*zfm*xkr_mass_max**2*zsm-xkr_mass_min**2) & |
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197 | & *xkr_eta)/(zdiv*zdiv3*zdiv5) ) & |
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198 | # if defined key_off_degrad |
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199 | & *facvol(ji,jj,jk) & |
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200 | # endif |
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201 | & ) |
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202 | |
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203 | zagg5 = ( 2.*3.141*0.125*trn(ji,jj,jk,jpnum)**2 & |
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204 | & *(zeps-1.)*zfm*xkr_wsbio_min & |
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205 | & *(zsm*(xkr_mass_min**2-zfm*xkr_mass_max**2) & |
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206 | & /zdiv3-(xkr_mass_min**2-zfm*zsm*xkr_mass_max**2) & |
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207 | & /zdiv) & |
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208 | # if defined key_off_degrad |
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209 | & *facvol(ji,jj,jk) & |
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210 | # endif |
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211 | & ) |
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212 | |
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213 | zaggsi = ( zagg4 + zagg5 ) * zstep / 10. |
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214 | |
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215 | xagg(ji,jj,jk) = 0.5 * xkr_stick * ( zaggsh + zaggsi ) |
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216 | |
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217 | ! Aggregation of DOC to small particles |
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218 | ! -------------------------------------- |
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219 | |
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220 | xaggdoc(ji,jj,jk) = ( 0.4 * trn(ji,jj,jk,jpdoc) & |
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221 | & + 1018. * trn(ji,jj,jk,jppoc) ) * zstep & |
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222 | # if defined key_off_degrad |
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223 | & * facvol(ji,jj,jk) & |
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224 | # endif |
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225 | & * zdiss(ji,jj,jk) * trn(ji,jj,jk,jpdoc) |
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226 | |
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227 | ENDIF |
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228 | END DO |
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229 | END DO |
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230 | END DO |
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231 | |
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232 | # if defined key_trc_dia3d |
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233 | zrfact2 = 1.e3 * rfact2r |
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234 | trc2d(:,:, 5) = sinking (:,:,iksed+1) * zrfact2 |
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235 | trc2d(:,:, 6) = sinking2(:,:,iksed+1) * zrfact2 |
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236 | trc2d(:,:, 7) = sinkfer (:,:,iksed+1) * zrfact2 |
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237 | trc2d(:,:, 9) = sinksil (:,:,iksed+1) * zrfact2 |
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238 | trc2d(:,:,10) = sinkcal (:,:,iksed+1) * zrfact2 |
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239 | trc3d(:,:,:,12) = sinking (:,:,:) * zrfact2 |
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240 | trc3d(:,:,:,13) = sinking2(:,:,:) * zrfact2 |
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241 | trc3d(:,:,:,14) = sinksil (:,:,:) * zrfact2 |
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242 | trc3d(:,:,:,15) = sinkcal (:,:,:) * zrfact2 |
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243 | trc3d(:,:,:,16) = znum3d (:,:,:) |
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244 | trc3d(:,:,:,17) = wsbio3 (:,:,:) |
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245 | trc3d(:,:,:,18) = wsbio4 (:,:,:) |
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246 | # endif |
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247 | ! |
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248 | END SUBROUTINE p4z_sink_kriest |
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249 | |
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250 | #else |
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251 | !!====================================================================== |
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252 | !! Dummy module : No PISCES bio-model |
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253 | !!====================================================================== |
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254 | CONTAINS |
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255 | SUBROUTINE p4z_sink_kriest ! Empty routine |
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256 | END SUBROUTINE p4z_sink_kriest |
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257 | #endif |
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258 | |
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259 | !!====================================================================== |
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260 | END MODULE p4zsink_kriest |
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