1 | MODULE diahdy |
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2 | !!====================================================================== |
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3 | !! *** MODULE diahdy *** |
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4 | !! Ocean diagnostics : computation the dynamical heigh |
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5 | !!====================================================================== |
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6 | #if defined key_diahdy || defined key_esopa |
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7 | !!---------------------------------------------------------------------- |
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8 | !! 'key_diahdy' : dynamical heigh diagnostics |
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9 | !!---------------------------------------------------------------------- |
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10 | !! dia_hdy : dynamical heigh computation |
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11 | !!---------------------------------------------------------------------- |
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12 | !! * Modules used |
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13 | USE oce ! ocean dynamics and tracers |
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14 | USE dom_oce ! ocean space and time domain |
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15 | USE phycst ! physical constants |
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16 | USE in_out_manager ! I/O manager |
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17 | |
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18 | IMPLICIT NONE |
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19 | PRIVATE |
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20 | |
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21 | !! * Routine accessibility |
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22 | PUBLIC dia_hdy ! called in step.F90 module |
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23 | |
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24 | !! * Shared module variables |
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25 | LOGICAL, PUBLIC, PARAMETER :: lk_diahdy = .TRUE. !: dynamical heigh flag |
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26 | |
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27 | !! * Module variables |
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28 | REAL(wp), DIMENSION(jpk) :: & |
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29 | rhosp ! ??? |
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30 | |
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31 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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32 | hdy ! dynamical heigh |
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33 | |
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34 | !! * Substitutions |
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35 | # include "domzgr_substitute.h90" |
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36 | !!---------------------------------------------------------------------- |
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37 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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38 | !! $Header$ |
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39 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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40 | !!---------------------------------------------------------------------- |
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41 | |
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42 | CONTAINS |
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43 | |
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44 | SUBROUTINE dia_hdy ( kt ) |
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45 | !!--------------------------------------------------------------------- |
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46 | !! *** ROUTINE dia_hdy *** |
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47 | !! |
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48 | !! ** Purpose : Computes the dynamical heigh |
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49 | !! |
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50 | !! ** Method : Millero + Poisson |
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51 | !! |
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52 | !! References : |
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53 | !! A. E. Gill, atmosphere-ocean dynamics 7.7 pp 215 |
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54 | !! |
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55 | !! History : |
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56 | !! ! 9x-xx (P. Delecluse, C. Perigaud) Original code |
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57 | !! ! 93-10 (C. Perigaud) a trapezoidal vertical integration |
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58 | !! consistent WITH the code |
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59 | !! ! 93-12 (G. Madec M. Imbard) |
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60 | !! ! 96-03 (N. Ferry) integration at t-points |
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61 | !! 8.5 ! 02-06 (G. Madec) F90: Free form and module |
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62 | !!---------------------------------------------------------------------- |
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63 | !! * Arguments |
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64 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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65 | |
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66 | !! * Local declarations |
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67 | INTEGER :: ji, jj, jk |
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68 | INTEGER :: ihdsup, ik |
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69 | |
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70 | REAL(wp) :: zgdsup, za, zb, zciint, zfacto, zhd |
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71 | REAL(wp) :: zp, zh, zt, zs, zxk, zq, zsr, zr1, zr2, zr3, zr4 |
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72 | REAL(wp) :: ze, zbw, zc, zd, zaw, zb1, za1, zkw, zk0 |
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73 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zsva |
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74 | REAL(wp), DIMENSION(jpk) :: zwkx, zwky, zwkz |
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75 | REAL(wp) :: fsatg |
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76 | REAL(wp) :: pfps, pfpt, pfphp |
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77 | |
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78 | ! Adiabatic laspse rate fsatg, defined as the change of temperature |
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79 | ! per unit pressure for adiabatic change of pressure of an element |
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80 | ! of seawater (bryden,h.,1973,deep-sea res.,20,401-408). |
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81 | ! units: |
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82 | ! pressure pfphp decibars |
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83 | ! temperature pfpt deg celsius (ipts-68) |
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84 | ! salinity pfps (ipss-78) |
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85 | ! adiabatic fsatg deg. c/decibar |
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86 | ! checkvalue: atg=3.255976e-4 c/dbar for pfps=40 (ipss-78), |
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87 | ! pfpt=40 deg c, pfphp=10000 decibars |
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88 | |
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89 | fsatg(pfps,pfpt,pfphp) & |
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90 | = (((-2.1687e-16*pfpt+1.8676e-14)*pfpt-4.6206e-13)*pfphp & |
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91 | +((2.7759e-12*pfpt-1.1351e-10)*(pfps-35.)+((-5.4481e-14*pfpt & |
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92 | +8.733e-12)*pfpt-6.7795e-10)*pfpt+1.8741e-8))*pfphp & |
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93 | +(-4.2393e-8*pfpt+1.8932e-6)*(pfps-35.) & |
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94 | +((6.6228e-10*pfpt-6.836e-8)*pfpt+8.5258e-6)*pfpt+3.5803e-5 |
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95 | !!---------------------------------------------------------------------- |
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96 | |
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97 | ! 1. height dynamic |
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98 | ! ----------------- |
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99 | ! depth for reference |
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100 | |
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101 | zgdsup = 1500. |
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102 | |
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103 | ! below for hdyn levitus |
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104 | |
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105 | IF( kt == nit000 ) THEN |
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106 | IF(lwp) WRITE(numout,*) |
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107 | IF(lwp) WRITE(numout,*) 'dia_hdy : computation of dynamical heigh' |
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108 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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109 | IF( .NOT. ln_zco ) THEN ! Dynamic height diagnostics only implemented in z-coordinate |
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110 | IF(lwp) WRITE(numout,cform_err) |
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111 | IF(lwp) WRITE(numout,*) ' ln_zps or ln_sco, Dynamical height diagnostics not yet implemented' |
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112 | nstop = nstop + 1 |
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113 | ENDIF |
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114 | DO jk = 1, jpk |
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115 | IF( gdepw_0(jk) > zgdsup ) GOTO 110 |
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116 | END DO |
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117 | IF(lwp) WRITE(numout,*)'problem zgdsup greater than gdepw(jpk)' |
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118 | STOP 'dia_hdy' |
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119 | 110 CONTINUE |
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120 | ihdsup = jk - 1 |
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121 | IF(lwp) WRITE(numout,*)' ihdsup = ', ihdsup |
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122 | |
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123 | ! Interpolation coefficients for zgdsup-gdepw(ihdsup) layer |
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124 | |
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125 | za = gdepw_0(ihdsup ) |
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126 | zb = gdepw_0(ihdsup+1) |
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127 | IF( za > zgdsup .OR. zb < zgdsup ) THEN |
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128 | IF(lwp) WRITE(numout,*) za, zb, ihdsup, zgdsup |
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129 | IF(lwp) WRITE(numout,*) ' bad ihdsup' |
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130 | STOP |
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131 | ENDIF |
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132 | |
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133 | zciint = (zgdsup - za) / (zb - za) |
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134 | |
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135 | ! Computes the specific volume reference in situ temperature |
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136 | |
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137 | DO jk = 1, jpk |
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138 | zp = 0.e0 |
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139 | zh = gdept_0(jk) |
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140 | zt = 0.e0 |
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141 | zs = 35. |
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142 | zxk= zh * fsatg( zs, zt, zp ) |
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143 | zt = zt + 0.5 * zxk |
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144 | zq = zxk |
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145 | zp = zp + 0.5 * zh |
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146 | zxk= zh*fsatg( zs, zt, zp ) |
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147 | zt = zt + 0.29289322 * ( zxk - zq ) |
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148 | zq = 0.58578644 * zxk + 0.121320344 * zq |
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149 | zxk= zh * fsatg( zs, zt, zp ) |
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150 | zt = zt + 1.707106781 * ( zxk - zq ) |
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151 | zq = 3.414213562 * zxk - 4.121320344 * zq |
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152 | zp = zp + 0.5 * zh |
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153 | zxk= zh * fsatg( zs, zt, zp ) |
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154 | zwkx(jk) = zt + ( zxk - 2.0 * zq ) / 6.0 |
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155 | END DO |
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156 | |
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157 | ! In situ density (add the compression terms) |
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158 | |
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159 | DO jk = 1, jpk |
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160 | zt = zwkx(jk) |
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161 | zs = 35. |
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162 | ! square root salinity |
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163 | zsr = sqrt( abs( zs ) ) |
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164 | zwky(jk) = zsr |
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165 | ! compute density pure water at atm pressure |
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166 | zr1= ((((6.536332e-9*zt-1.120083e-6)*zt+1.001685e-4)*zt & |
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167 | -9.095290e-3)*zt+6.793952e-2)*zt+999.842594 |
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168 | ! seawater density atm pressure |
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169 | zr2= (((5.3875e-9*zt-8.2467e-7)*zt+7.6438e-5)*zt & |
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170 | -4.0899e-3)*zt+8.24493e-1 |
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171 | zr3= (-1.6546e-6*zt+1.0227e-4)*zt-5.72466e-3 |
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172 | zr4= 4.8314e-4 |
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173 | zwkz(jk)= (zr4*zs + zr3*zsr + zr2)*zs + zr1 |
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174 | END DO |
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175 | |
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176 | DO jk = 1, jpk |
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177 | zt = zwkx(jk) |
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178 | zs = 35. |
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179 | zsr= zwky(jk) |
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180 | zh = gdept_0(jk) |
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181 | |
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182 | ze = ( 9.1697e-11*zt+2.0816e-9 ) *zt-9.9348e-8 |
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183 | zbw= ( 5.2787e-9*zt-6.12293e-7 ) * zt+8.50935e-6 |
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184 | zb = zbw + ze * zs |
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185 | |
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186 | zd = 1.91075e-4 |
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187 | zc = (-1.6078e-6*zt-1.0981e-5)*zt+2.2838e-3 |
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188 | zaw= ((-5.77905e-7*zt+1.16092e-4)*zt+1.43713e-3)*zt+3.239908 |
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189 | za = ( zd*zsr + zc)*zs + zaw |
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190 | |
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191 | zb1= (-5.3009e-3*zt+1.6483e-1)*zt+7.944e-1 |
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192 | za1= ((-6.1670e-4*zt+1.09987e-1)*zt-6.03459)*zt+546.746 |
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193 | zkw= (((-5.155288e-4*zt+1.360477e-1)*zt-23.27105)*zt & |
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194 | +1484.206)*zt+196522.1 |
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195 | zk0= (zb1*zsr + za1)*zs + zkw |
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196 | ! evaluate pressure polynomial |
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197 | zwkz(jk) = zwkz(jk) / ( 1.0 - zh / ( zk0+zh*(za+zb*zh) ) ) |
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198 | END DO |
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199 | |
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200 | DO jk = 1, jpk |
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201 | rhosp(jk) = zwkz(jk) |
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202 | END DO |
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203 | ENDIF |
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204 | |
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205 | ! Computes the specific volume anomaly |
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206 | |
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207 | DO jk = 1, jpkm1 |
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208 | DO jj = 1, jpj |
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209 | DO ji = 1, jpi |
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210 | IF( tmask(ji,jj,jk) /= 0. ) THEN |
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211 | zsva(ji,jj,jk) = ( rau0*rhd(ji,jj,jk)+rau0 -rhosp(jk) ) / rhosp(jk) |
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212 | ELSE |
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213 | zsva(ji,jj,jk)=0. |
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214 | ENDIF |
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215 | END DO |
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216 | END DO |
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217 | END DO |
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218 | |
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219 | ! zfacto coefficient to cmg |
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220 | |
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221 | ! zfacto= 1. e+2 |
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222 | ! mg->cmg |
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223 | zfacto = 1.0 * 1.e2 |
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224 | |
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225 | ! Fisrt compute at depth ik=ihdsup |
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226 | |
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227 | ik = ihdsup |
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228 | DO jj = 1, jpj |
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229 | DO ji = 1, jpi |
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230 | zhd = zfacto * zciint * e3t_0(ik) * zsva(ji,jj,ik) |
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231 | hdy(ji,jj,ik) = zhd * tmask(ji,jj,ik) * tmask(ji,jj,ik-1) |
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232 | END DO |
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233 | END DO |
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234 | |
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235 | ! Then compute other terms except level jk=1 |
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236 | |
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237 | DO jk = ihdsup-1, 2, -1 |
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238 | DO jj = 1, jpj |
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239 | DO ji = 1, jpi |
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240 | zhd = hdy(ji,jj,jk+1) + zfacto * e3t_0(jk) * zsva(ji,jj,jk) |
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241 | hdy(ji,jj,jk) = zhd * tmask(ji,jj,jk) * tmask(ji,jj,jk-1) |
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242 | END DO |
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243 | END DO |
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244 | END DO |
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245 | |
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246 | ! Then compute other the last layer term jk=1 |
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247 | |
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248 | ik = 1 |
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249 | DO jj = 1, jpj |
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250 | DO ji = 1, jpi |
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251 | zhd = hdy(ji,jj,ik+1) + zfacto * e3t_0(ik) * zsva(ji,jj,ik) |
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252 | hdy(ji,jj,ik) = zhd * tmask(ji,jj,ik) |
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253 | END DO |
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254 | END DO |
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255 | |
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256 | END SUBROUTINE dia_hdy |
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257 | |
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258 | #else |
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259 | !!---------------------------------------------------------------------- |
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260 | !! Default option : NO dynamic heigh diagnostics |
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261 | !!---------------------------------------------------------------------- |
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262 | LOGICAL, PUBLIC, PARAMETER :: lk_diahdy = .FALSE. !: dynamical heigh flag |
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263 | CONTAINS |
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264 | SUBROUTINE dia_hdy( kt ) ! Empty routine |
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265 | WRITE(*,*) 'diahdy: You should not have seen this print! error?', kt |
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266 | END SUBROUTINE dia_hdy |
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267 | #endif |
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268 | |
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269 | !!====================================================================== |
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270 | END MODULE diahdy |
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