1 | MODULE flo4rk |
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2 | !!====================================================================== |
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3 | !! *** MODULE flo4rk *** |
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4 | !! Ocean floats : trajectory computation using a 4th order Runge-Kutta |
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5 | !!====================================================================== |
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6 | #if defined key_floats |
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7 | !!---------------------------------------------------------------------- |
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8 | !! 'key_floats' float trajectories |
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9 | !!---------------------------------------------------------------------- |
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10 | !! flo_4rk : Compute the geographical position of floats |
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11 | !! flo_interp : interpolation |
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12 | !!---------------------------------------------------------------------- |
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13 | USE flo_oce ! ocean drifting floats |
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14 | USE oce ! ocean dynamics and tracers |
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15 | USE dom_oce ! ocean space and time domain |
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16 | USE in_out_manager ! I/O manager |
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17 | USE wrk_nemo ! working array |
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18 | |
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19 | IMPLICIT NONE |
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20 | PRIVATE |
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21 | |
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22 | PUBLIC flo_4rk ! routine called by floats.F90 |
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23 | |
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24 | ! ! RK4 and Lagrange interpolation coefficients |
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25 | REAL(wp), DIMENSION (4) :: tcoef1 = (/ 1.0 , 0.5 , 0.5 , 0.0 /) ! |
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26 | REAL(wp), DIMENSION (4) :: tcoef2 = (/ 0.0 , 0.5 , 0.5 , 1.0 /) ! |
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27 | REAL(wp), DIMENSION (4) :: scoef2 = (/ 1.0 , 2.0 , 2.0 , 1.0 /) ! |
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28 | REAL(wp), DIMENSION (4) :: rcoef = (/-1./6. , 1./2. ,-1./2. , 1./6. /) ! |
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29 | REAL(wp), DIMENSION (3) :: scoef1 = (/ 0.5 , 0.5 , 1.0 /) ! |
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30 | |
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31 | !! * Substitutions |
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32 | # include "domzgr_substitute.h90" |
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33 | !!---------------------------------------------------------------------- |
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34 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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35 | !! $Id$ |
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36 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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37 | !!---------------------------------------------------------------------- |
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38 | CONTAINS |
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39 | |
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40 | SUBROUTINE flo_4rk( kt ) |
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41 | !!---------------------------------------------------------------------- |
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42 | !! *** ROUTINE flo_4rk *** |
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43 | !! |
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44 | !! ** Purpose : Compute the geographical position (lat,lon,depth) |
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45 | !! of each float at each time step. |
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46 | !! |
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47 | !! ** Method : The position of a float is computed with a 4th order |
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48 | !! Runge-Kutta scheme and and Lagrange interpolation. |
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49 | !! We need to know the velocity field, the old positions of the |
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50 | !! floats and the grid defined on the domain. |
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51 | !!---------------------------------------------------------------------- |
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52 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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53 | !! |
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54 | INTEGER :: jfl, jind ! dummy loop indices |
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55 | INTEGER :: ierror ! error value |
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56 | |
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57 | REAL(wp), POINTER, DIMENSION(:) :: zgifl , zgjfl , zgkfl ! index RK positions |
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58 | REAL(wp), POINTER, DIMENSION(:) :: zufl , zvfl , zwfl ! interpolated velocity at the float position |
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59 | REAL(wp), POINTER, DIMENSION(:,:) :: zrkxfl, zrkyfl, zrkzfl ! RK coefficients |
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60 | !!--------------------------------------------------------------------- |
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61 | CALL wrk_alloc( jpnfl, zgifl , zgjfl , zgkfl , zufl, zvfl, zwfl) |
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62 | CALL wrk_alloc( jpnfl, 4, zrkxfl, zrkyfl, zrkzfl ) |
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63 | ! |
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64 | IF( ierror /= 0 ) THEN |
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65 | WRITE(numout,*) 'flo_4rk: allocation of workspace arrays failed' |
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66 | ENDIF |
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67 | |
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68 | |
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69 | IF( kt == nit000 ) THEN |
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70 | IF(lwp) WRITE(numout,*) |
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71 | IF(lwp) WRITE(numout,*) 'flo_4rk : compute Runge Kutta trajectories for floats ' |
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72 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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73 | ENDIF |
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74 | |
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75 | ! Verification of the floats positions. If one of them leave the domain |
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76 | ! domain we replace the float near the border. |
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77 | DO jfl = 1, jpnfl |
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78 | ! i-direction |
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79 | IF( tpifl(jfl) <= 1.5 ) THEN |
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80 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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81 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the WEST border.' |
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82 | tpifl(jfl) = tpifl(jfl) + 1. |
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83 | IF(lwp)WRITE(numout,*)'New initialisation for this float at i=',tpifl(jfl) |
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84 | ENDIF |
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85 | |
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86 | IF( tpifl(jfl) >= jpi-.5 ) THEN |
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87 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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88 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the EAST border.' |
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89 | tpifl(jfl) = tpifl(jfl) - 1. |
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90 | IF(lwp)WRITE(numout,*)'New initialisation for this float at i=', tpifl(jfl) |
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91 | ENDIF |
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92 | ! j-direction |
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93 | IF( tpjfl(jfl) <= 1.5 ) THEN |
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94 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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95 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the SOUTH border.' |
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96 | tpjfl(jfl) = tpjfl(jfl) + 1. |
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97 | IF(lwp)WRITE(numout,*)'New initialisation for this float at j=', tpjfl(jfl) |
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98 | ENDIF |
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99 | |
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100 | IF( tpjfl(jfl) >= jpj-.5 ) THEN |
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101 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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102 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the NORTH border.' |
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103 | tpjfl(jfl) = tpjfl(jfl) - 1. |
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104 | IF(lwp)WRITE(numout,*)'New initialisation for this float at j=', tpjfl(jfl) |
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105 | ENDIF |
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106 | ! k-direction |
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107 | IF( tpkfl(jfl) <= .5 ) THEN |
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108 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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109 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the TOP border.' |
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110 | tpkfl(jfl) = tpkfl(jfl) + 1. |
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111 | IF(lwp)WRITE(numout,*)'New initialisation for this float at k=', tpkfl(jfl) |
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112 | ENDIF |
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113 | |
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114 | IF( tpkfl(jfl) >= jpk-.5 ) THEN |
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115 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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116 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the BOTTOM border.' |
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117 | tpkfl(jfl) = tpkfl(jfl) - 1. |
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118 | IF(lwp)WRITE(numout,*)'New initialisation for this float at k=', tpkfl(jfl) |
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119 | ENDIF |
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120 | END DO |
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121 | |
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122 | ! 4 steps of Runge-Kutta algorithme |
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123 | ! initialisation of the positions |
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124 | |
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125 | DO jfl = 1, jpnfl |
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126 | zgifl(jfl) = tpifl(jfl) |
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127 | zgjfl(jfl) = tpjfl(jfl) |
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128 | zgkfl(jfl) = tpkfl(jfl) |
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129 | END DO |
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130 | |
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131 | DO jind = 1, 4 |
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132 | |
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133 | ! for each step we compute the compute the velocity with Lagrange interpolation |
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134 | CALL flo_interp( zgifl, zgjfl, zgkfl, zufl, zvfl, zwfl, jind ) |
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135 | |
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136 | ! computation of Runge-Kutta factor |
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137 | DO jfl = 1, jpnfl |
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138 | zrkxfl(jfl,jind) = rdt*zufl(jfl) |
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139 | zrkyfl(jfl,jind) = rdt*zvfl(jfl) |
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140 | zrkzfl(jfl,jind) = rdt*zwfl(jfl) |
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141 | END DO |
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142 | IF( jind /= 4 ) THEN |
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143 | DO jfl = 1, jpnfl |
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144 | zgifl(jfl) = (tpifl(jfl)) + scoef1(jind)*zrkxfl(jfl,jind) |
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145 | zgjfl(jfl) = (tpjfl(jfl)) + scoef1(jind)*zrkyfl(jfl,jind) |
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146 | zgkfl(jfl) = (tpkfl(jfl)) + scoef1(jind)*zrkzfl(jfl,jind) |
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147 | END DO |
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148 | ENDIF |
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149 | END DO |
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150 | DO jind = 1, 4 |
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151 | DO jfl = 1, jpnfl |
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152 | tpifl(jfl) = tpifl(jfl) + scoef2(jind)*zrkxfl(jfl,jind)/6. |
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153 | tpjfl(jfl) = tpjfl(jfl) + scoef2(jind)*zrkyfl(jfl,jind)/6. |
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154 | tpkfl(jfl) = tpkfl(jfl) + scoef2(jind)*zrkzfl(jfl,jind)/6. |
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155 | END DO |
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156 | END DO |
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157 | ! |
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158 | CALL wrk_dealloc( jpnfl, zgifl , zgjfl , zgkfl , zufl, zvfl, zwfl) |
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159 | CALL wrk_dealloc( jpnfl, 4, zrkxfl, zrkyfl, zrkzfl ) |
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160 | ! |
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161 | END SUBROUTINE flo_4rk |
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162 | |
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163 | |
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164 | SUBROUTINE flo_interp( pxt , pyt , pzt , & |
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165 | & pufl, pvfl, pwfl, ki ) |
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166 | !!---------------------------------------------------------------------- |
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167 | !! *** ROUTINE flointerp *** |
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168 | !! |
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169 | !! ** Purpose : Interpolation of the velocity on the float position |
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170 | !! |
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171 | !! ** Method : Lagrange interpolation with the 64 neighboring |
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172 | !! points. This routine is call 4 time at each time step to |
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173 | !! compute velocity at the date and the position we need to |
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174 | !! integrated with RK method. |
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175 | !!---------------------------------------------------------------------- |
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176 | REAL(wp) , DIMENSION(jpnfl), INTENT(in ) :: pxt , pyt , pzt ! position of the float |
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177 | REAL(wp) , DIMENSION(jpnfl), INTENT( out) :: pufl, pvfl, pwfl ! velocity at this position |
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178 | INTEGER , INTENT(in ) :: ki ! |
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179 | !! |
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180 | INTEGER :: jfl, jind1, jind2, jind3 ! dummy loop indices |
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181 | REAL(wp) :: zsumu, zsumv, zsumw ! local scalar |
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182 | INTEGER , POINTER, DIMENSION(:) :: iilu, ijlu, iklu ! nearest neighbour INDEX-u |
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183 | INTEGER , POINTER, DIMENSION(:) :: iilv, ijlv, iklv ! nearest neighbour INDEX-v |
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184 | INTEGER , POINTER, DIMENSION(:) :: iilw, ijlw, iklw ! nearest neighbour INDEX-w |
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185 | INTEGER , POINTER, DIMENSION(:,:) :: iidu, ijdu, ikdu ! 64 nearest neighbour INDEX-u |
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186 | INTEGER , POINTER, DIMENSION(:,:) :: iidv, ijdv, ikdv ! 64 nearest neighbour INDEX-v |
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187 | INTEGER , POINTER, DIMENSION(:,:) :: iidw, ijdw, ikdw ! 64 nearest neighbour INDEX-w |
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188 | REAL(wp) , POINTER, DIMENSION(:,:) :: zlagxu, zlagyu, zlagzu ! Lagrange coefficients |
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189 | REAL(wp) , POINTER, DIMENSION(:,:) :: zlagxv, zlagyv, zlagzv ! - - |
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190 | REAL(wp) , POINTER, DIMENSION(:,:) :: zlagxw, zlagyw, zlagzw ! - - |
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191 | REAL(wp) , POINTER, DIMENSION(:,:,:,:) :: ztufl , ztvfl , ztwfl ! velocity at choosen time step |
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192 | !!--------------------------------------------------------------------- |
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193 | CALL wrk_alloc( jpnfl, iilu, ijlu, iklu, iilv, ijlv, iklv, iilw, ijlw, iklw ) |
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194 | CALL wrk_alloc( jpnfl, 4, iidu, ijdu, ikdu, iidv, ijdv, ikdv, iidw, ijdw, ikdw ) |
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195 | CALL wrk_alloc( jpnfl, 4, zlagxu, zlagyu, zlagzu, zlagxv, zlagyv, zlagzv, zlagxw, zlagyw, zlagzw ) |
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196 | CALL wrk_alloc( jpnfl, 4, 4, 4, ztufl , ztvfl , ztwfl ) |
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197 | |
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198 | ! Interpolation of U velocity |
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199 | |
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200 | ! nearest neightboring point for computation of u |
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201 | DO jfl = 1, jpnfl |
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202 | iilu(jfl) = INT(pxt(jfl)-.5) |
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203 | ijlu(jfl) = INT(pyt(jfl)-.5) |
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204 | iklu(jfl) = INT(pzt(jfl)) |
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205 | END DO |
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206 | |
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207 | ! 64 neightboring points for computation of u |
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208 | DO jind1 = 1, 4 |
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209 | DO jfl = 1, jpnfl |
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210 | ! i-direction |
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211 | IF( iilu(jfl) <= 2 ) THEN ; iidu(jfl,jind1) = jind1 |
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212 | ELSE |
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213 | IF( iilu(jfl) >= jpi-1 ) THEN ; iidu(jfl,jind1) = jpi + jind1 - 4 |
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214 | ELSE ; iidu(jfl,jind1) = iilu(jfl) + jind1 - 2 |
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215 | ENDIF |
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216 | ENDIF |
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217 | ! j-direction |
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218 | IF( ijlu(jfl) <= 2 ) THEN ; ijdu(jfl,jind1) = jind1 |
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219 | ELSE |
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220 | IF( ijlu(jfl) >= jpj-1 ) THEN ; ijdu(jfl,jind1) = jpj + jind1 - 4 |
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221 | ELSE ; ijdu(jfl,jind1) = ijlu(jfl) + jind1 - 2 |
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222 | ENDIF |
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223 | ENDIF |
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224 | ! k-direction |
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225 | IF( iklu(jfl) <= 2 ) THEN ; ikdu(jfl,jind1) = jind1 |
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226 | ELSE |
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227 | IF( iklu(jfl) >= jpk-1 ) THEN ; ikdu(jfl,jind1) = jpk + jind1 - 4 |
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228 | ELSE ; ikdu(jfl,jind1) = iklu(jfl) + jind1 - 2 |
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229 | ENDIF |
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230 | ENDIF |
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231 | END DO |
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232 | END DO |
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233 | |
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234 | ! Lagrange coefficients |
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235 | DO jfl = 1, jpnfl |
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236 | DO jind1 = 1, 4 |
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237 | zlagxu(jfl,jind1) = 1. |
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238 | zlagyu(jfl,jind1) = 1. |
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239 | zlagzu(jfl,jind1) = 1. |
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240 | END DO |
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241 | END DO |
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242 | DO jind1 = 1, 4 |
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243 | DO jind2 = 1, 4 |
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244 | DO jfl= 1, jpnfl |
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245 | IF( jind1 /= jind2 ) THEN |
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246 | zlagxu(jfl,jind1) = zlagxu(jfl,jind1) * ( pxt(jfl)-(float(iidu(jfl,jind2))+.5) ) |
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247 | zlagyu(jfl,jind1) = zlagyu(jfl,jind1) * ( pyt(jfl)-(float(ijdu(jfl,jind2))) ) |
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248 | zlagzu(jfl,jind1) = zlagzu(jfl,jind1) * ( pzt(jfl)-(float(ikdu(jfl,jind2))) ) |
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249 | ENDIF |
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250 | END DO |
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251 | END DO |
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252 | END DO |
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253 | |
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254 | ! velocity when we compute at middle time step |
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255 | |
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256 | DO jfl = 1, jpnfl |
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257 | DO jind1 = 1, 4 |
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258 | DO jind2 = 1, 4 |
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259 | DO jind3 = 1, 4 |
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260 | ztufl(jfl,jind1,jind2,jind3) = & |
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261 | & ( tcoef1(ki) * ub(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3)) + & |
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262 | & tcoef2(ki) * un(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3)) ) & |
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263 | & / e1u(iidu(jfl,jind1),ijdu(jfl,jind2)) |
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264 | END DO |
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265 | END DO |
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266 | END DO |
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267 | |
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268 | zsumu = 0. |
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269 | DO jind1 = 1, 4 |
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270 | DO jind2 = 1, 4 |
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271 | DO jind3 = 1, 4 |
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272 | zsumu = zsumu + ztufl(jfl,jind1,jind2,jind3) * zlagxu(jfl,jind1) * zlagyu(jfl,jind2) & |
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273 | & * zlagzu(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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274 | END DO |
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275 | END DO |
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276 | END DO |
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277 | pufl(jfl) = zsumu |
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278 | END DO |
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279 | |
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280 | ! Interpolation of V velocity |
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281 | |
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282 | ! nearest neightboring point for computation of v |
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283 | DO jfl = 1, jpnfl |
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284 | iilv(jfl) = INT(pxt(jfl)-.5) |
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285 | ijlv(jfl) = INT(pyt(jfl)-.5) |
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286 | iklv(jfl) = INT(pzt(jfl)) |
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287 | END DO |
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288 | |
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289 | ! 64 neightboring points for computation of v |
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290 | DO jind1 = 1, 4 |
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291 | DO jfl = 1, jpnfl |
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292 | ! i-direction |
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293 | IF( iilv(jfl) <= 2 ) THEN ; iidv(jfl,jind1) = jind1 |
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294 | ELSE |
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295 | IF( iilv(jfl) >= jpi-1 ) THEN ; iidv(jfl,jind1) = jpi + jind1 - 4 |
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296 | ELSE ; iidv(jfl,jind1) = iilv(jfl) + jind1 - 2 |
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297 | ENDIF |
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298 | ENDIF |
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299 | ! j-direction |
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300 | IF( ijlv(jfl) <= 2 ) THEN ; ijdv(jfl,jind1) = jind1 |
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301 | ELSE |
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302 | IF( ijlv(jfl) >= jpj-1 ) THEN ; ijdv(jfl,jind1) = jpj + jind1 - 4 |
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303 | ELSE ; ijdv(jfl,jind1) = ijlv(jfl) + jind1 - 2 |
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304 | ENDIF |
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305 | ENDIF |
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306 | ! k-direction |
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307 | IF( iklv(jfl) <= 2 ) THEN ; ikdv(jfl,jind1) = jind1 |
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308 | ELSE |
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309 | IF( iklv(jfl) >= jpk-1 ) THEN ; ikdv(jfl,jind1) = jpk + jind1 - 4 |
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310 | ELSE ; ikdv(jfl,jind1) = iklv(jfl) + jind1 - 2 |
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311 | ENDIF |
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312 | ENDIF |
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313 | END DO |
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314 | END DO |
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315 | |
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316 | ! Lagrange coefficients |
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317 | |
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318 | DO jfl = 1, jpnfl |
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319 | DO jind1 = 1, 4 |
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320 | zlagxv(jfl,jind1) = 1. |
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321 | zlagyv(jfl,jind1) = 1. |
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322 | zlagzv(jfl,jind1) = 1. |
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323 | END DO |
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324 | END DO |
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325 | |
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326 | DO jind1 = 1, 4 |
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327 | DO jind2 = 1, 4 |
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328 | DO jfl = 1, jpnfl |
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329 | IF( jind1 /= jind2 ) THEN |
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330 | zlagxv(jfl,jind1)= zlagxv(jfl,jind1)*(pxt(jfl) - (float(iidv(jfl,jind2)) ) ) |
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331 | zlagyv(jfl,jind1)= zlagyv(jfl,jind1)*(pyt(jfl) - (float(ijdv(jfl,jind2))+.5) ) |
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332 | zlagzv(jfl,jind1)= zlagzv(jfl,jind1)*(pzt(jfl) - (float(ikdv(jfl,jind2)) ) ) |
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333 | ENDIF |
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334 | END DO |
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335 | END DO |
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336 | END DO |
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337 | |
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338 | ! velocity when we compute at middle time step |
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339 | |
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340 | DO jfl = 1, jpnfl |
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341 | DO jind1 = 1, 4 |
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342 | DO jind2 = 1, 4 |
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343 | DO jind3 = 1 ,4 |
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344 | ztvfl(jfl,jind1,jind2,jind3)= & |
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345 | & ( tcoef1(ki) * vb(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3)) + & |
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346 | & tcoef2(ki) * vn(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3)) ) & |
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347 | & / e2v(iidv(jfl,jind1),ijdv(jfl,jind2)) |
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348 | END DO |
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349 | END DO |
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350 | END DO |
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351 | |
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352 | zsumv=0. |
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353 | DO jind1 = 1, 4 |
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354 | DO jind2 = 1, 4 |
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355 | DO jind3 = 1, 4 |
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356 | zsumv = zsumv + ztvfl(jfl,jind1,jind2,jind3) * zlagxv(jfl,jind1) * zlagyv(jfl,jind2) & |
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357 | & * zlagzv(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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358 | END DO |
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359 | END DO |
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360 | END DO |
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361 | pvfl(jfl) = zsumv |
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362 | END DO |
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363 | |
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364 | ! Interpolation of W velocity |
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365 | |
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366 | ! nearest neightboring point for computation of w |
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367 | DO jfl = 1, jpnfl |
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368 | iilw(jfl) = INT( pxt(jfl) ) |
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369 | ijlw(jfl) = INT( pyt(jfl) ) |
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370 | iklw(jfl) = INT( pzt(jfl)+.5) |
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371 | END DO |
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372 | |
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373 | ! 64 neightboring points for computation of w |
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374 | DO jind1 = 1, 4 |
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375 | DO jfl = 1, jpnfl |
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376 | ! i-direction |
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377 | IF( iilw(jfl) <= 2 ) THEN ; iidw(jfl,jind1) = jind1 |
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378 | ELSE |
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379 | IF( iilw(jfl) >= jpi-1 ) THEN ; iidw(jfl,jind1) = jpi + jind1 - 4 |
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380 | ELSE ; iidw(jfl,jind1) = iilw(jfl) + jind1 - 2 |
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381 | ENDIF |
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382 | ENDIF |
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383 | ! j-direction |
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384 | IF( ijlw(jfl) <= 2 ) THEN ; ijdw(jfl,jind1) = jind1 |
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385 | ELSE |
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386 | IF( ijlw(jfl) >= jpj-1 ) THEN ; ijdw(jfl,jind1) = jpj + jind1 - 4 |
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387 | ELSE ; ijdw(jfl,jind1) = ijlw(jfl) + jind1 - 2 |
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388 | ENDIF |
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389 | ENDIF |
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390 | ! k-direction |
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391 | IF( iklw(jfl) <= 2 ) THEN ; ikdw(jfl,jind1) = jind1 |
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392 | ELSE |
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393 | IF( iklw(jfl) >= jpk-1 ) THEN ; ikdw(jfl,jind1) = jpk + jind1 - 4 |
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394 | ELSE ; ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
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395 | ENDIF |
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396 | ENDIF |
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397 | END DO |
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398 | END DO |
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399 | DO jind1 = 1, 4 |
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400 | DO jfl = 1, jpnfl |
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401 | IF( iklw(jfl) <= 2 ) THEN ; ikdw(jfl,jind1) = jind1 |
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402 | ELSE |
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403 | IF( iklw(jfl) >= jpk-1 ) THEN ; ikdw(jfl,jind1) = jpk + jind1 - 4 |
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404 | ELSE ; ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
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405 | ENDIF |
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406 | ENDIF |
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407 | END DO |
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408 | END DO |
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409 | |
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410 | ! Lagrange coefficients for w interpolation |
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411 | DO jfl = 1, jpnfl |
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412 | DO jind1 = 1, 4 |
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413 | zlagxw(jfl,jind1) = 1. |
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414 | zlagyw(jfl,jind1) = 1. |
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415 | zlagzw(jfl,jind1) = 1. |
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416 | END DO |
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417 | END DO |
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418 | DO jind1 = 1, 4 |
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419 | DO jind2 = 1, 4 |
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420 | DO jfl = 1, jpnfl |
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421 | IF( jind1 /= jind2 ) THEN |
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422 | zlagxw(jfl,jind1) = zlagxw(jfl,jind1) * (pxt(jfl) - (float(iidw(jfl,jind2)) ) ) |
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423 | zlagyw(jfl,jind1) = zlagyw(jfl,jind1) * (pyt(jfl) - (float(ijdw(jfl,jind2)) ) ) |
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424 | zlagzw(jfl,jind1) = zlagzw(jfl,jind1) * (pzt(jfl) - (float(ikdw(jfl,jind2))-.5) ) |
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425 | ENDIF |
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426 | END DO |
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427 | END DO |
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428 | END DO |
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429 | |
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430 | ! velocity w when we compute at middle time step |
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431 | DO jfl = 1, jpnfl |
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432 | DO jind1 = 1, 4 |
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433 | DO jind2 = 1, 4 |
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434 | DO jind3 = 1, 4 |
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435 | ztwfl(jfl,jind1,jind2,jind3)= & |
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436 | & ( tcoef1(ki) * wb(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3))+ & |
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437 | & tcoef2(ki) * wn(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3)) ) & |
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438 | & / fse3w(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3)) |
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439 | END DO |
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440 | END DO |
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441 | END DO |
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442 | |
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443 | zsumw = 0.e0 |
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444 | DO jind1 = 1, 4 |
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445 | DO jind2 = 1, 4 |
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446 | DO jind3 = 1, 4 |
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447 | zsumw = zsumw + ztwfl(jfl,jind1,jind2,jind3) * zlagxw(jfl,jind1) * zlagyw(jfl,jind2) & |
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448 | & * zlagzw(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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449 | END DO |
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450 | END DO |
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451 | END DO |
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452 | pwfl(jfl) = zsumw |
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453 | END DO |
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454 | ! |
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455 | CALL wrk_dealloc( jpnfl, iilu, ijlu, iklu, iilv, ijlv, iklv, iilw, ijlw, iklw ) |
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456 | CALL wrk_dealloc( jpnfl, 4, iidu, ijdu, ikdu, iidv, ijdv, ikdv, iidw, ijdw, ikdw ) |
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457 | CALL wrk_dealloc( jpnfl, 4, zlagxu, zlagyu, zlagzu, zlagxv, zlagyv, zlagzv, zlagxw, zlagyw, zlagzw ) |
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458 | CALL wrk_dealloc( jpnfl, 4, 4, 4, ztufl , ztvfl , ztwfl ) |
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459 | ! |
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460 | END SUBROUTINE flo_interp |
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461 | |
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462 | # else |
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463 | !!---------------------------------------------------------------------- |
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464 | !! No floats Dummy module |
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465 | !!---------------------------------------------------------------------- |
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466 | #endif |
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467 | |
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468 | !!====================================================================== |
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469 | END MODULE flo4rk |
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