1 | !> \file relaxation_mod-0.3.f90 |
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2 | !! Module pour la resolution de l'equation de relaxation. |
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3 | !< |
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4 | |
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5 | !> \namespace RELAXATION_MOD |
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6 | !! Module pour la resolution de l'equation de relaxation. |
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7 | !! \author Christophe DUMAS |
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8 | !! \date fevrier 2000 |
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9 | !! @note Cette routine est appellee par ICETHICK3 |
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10 | !! @note Modele couple "ice sheet - ice shelves" |
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11 | !< |
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12 | |
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13 | MODULE RELAXATION_MOD |
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14 | |
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15 | CONTAINS |
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16 | !> SUBROUTINE: relaxation |
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17 | !! Routine pour la methode de relaxation |
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18 | !! \param NXX [in] defini la taille des tableaux |
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19 | !! \param NYY [in] defini la taille des tableaux |
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20 | !! \param Mk [in] masks (ice sheet, max, above water, below water, 1) |
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21 | !! \param MARINE |
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22 | !! \param FLOT |
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23 | !! \param DT [in] pas de temps court |
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24 | !! \param DX [in] pas en x |
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25 | !! \param vieuxH [in] H au pas de temps precedent |
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26 | !! \param BM [in] mass balance 'o' |
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27 | !! \param BMELT [in] basal melting 'o' |
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28 | !! \param UXBAR [in] vertically integrated velocity '>' |
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29 | !! \param UYBAR [in] vertically integrated velocity '^' |
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30 | !! \param H [out] ice thickness 'o' |
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31 | !! \param HDOT [out] ice thickness derivee / t 'o' |
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32 | !> |
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33 | subroutine RELAXATION(NXX,NYY,MK,MARINE,FLOT,DT,DX,vieuxH,BM,BMELT,UXBAR,UYBAR,H,HDOT) |
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34 | |
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35 | IMPLICIT NONE |
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36 | |
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37 | |
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38 | ! declaration des variables en entree |
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39 | INTEGER, intent(in) :: NXX, NYY !< defini la taille des tableaux |
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40 | INTEGER,dimension(NXX,NYY), intent(in) :: MK !< masks (ice sheet, max, above water, below water, 1) |
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41 | LOGICAL, intent(in) :: MARINE |
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42 | LOGICAL,dimension(NXX,NYY), intent(in) :: FLOT |
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43 | REAL, intent(in) :: DT !< pas de temps court |
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44 | REAL, intent(in) :: DX !< pas en x |
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45 | REAL,dimension(NXX,NYY), intent(in) :: vieuxH !< H au pas de temps precedent |
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46 | REAL,dimension(NXX,NYY), intent(in) :: BM !< mass balance 'o' |
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47 | REAL,dimension(NXX,NYY), intent(in) :: BMELT !< basal melting 'o' |
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48 | REAL,dimension(NXX,NYY), intent(in) :: UXBAR !< vertically integrated velocity '>' |
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49 | REAL,dimension(NXX,NYY), intent(in) :: UYBAR !< vertically integrated velocity '^' |
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50 | |
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51 | |
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52 | ! declaration des variables en sortie |
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53 | REAL,dimension(NXX,NYY), intent(out) :: H ! ice thickness 'o' |
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54 | REAL,dimension(NXX,NYY), intent(out) :: HDOT ! ice thickness derivee / t 'o' |
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55 | |
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56 | |
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57 | ! declaration des variables locales |
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58 | INTEGER :: I,J |
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59 | REAL :: TESTH |
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60 | REAL,dimension(NXX,NYY) :: ARELAX,BRELAX,CRELAX,DRELAX,ERELAX,FRELAX |
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61 | REAL,dimension(NXX,NYY) :: DELTAH |
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62 | REAL :: RESTE,DELH,VH |
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63 | INTEGER :: ntour |
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64 | integer :: mbord |
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65 | REAL :: DTSDX |
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66 | LOGICAL :: STOPP |
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67 | |
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68 | |
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69 | ! print*,'dans relaxation mod' |
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70 | H(:,:)= vieuxH(:,:) |
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71 | |
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72 | ! attribution des coefficients arelax .... |
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73 | ! ---------------------------------------- |
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74 | |
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75 | dtsdx=dt/DX |
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76 | |
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77 | do J=2,NYY-1 |
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78 | do I=2,NXX-1 |
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79 | |
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80 | |
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81 | FRELAX(I,J)= VIEUXH(I,J)+(BM(I,J)-BMELT(I,J))*DT |
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82 | ! selon x |
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83 | ! ecoulement vers la droite |
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84 | if ((UXBAR(I,J).ge.0.).and.(UXBAR(I+1,J).ge.0.)) then |
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85 | ARELAX(I,J)=-UXBAR(I,J)*dtsdx |
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86 | BRELAX(I,J)=0. |
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87 | CRELAX(I,J)=UXBAR(I+1,J)*dtsdx |
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88 | |
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89 | ! ecoulement vers la gauche |
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90 | else if ((UXBAR(I,J).le.0.).and.(UXBAR(I+1,J).le.0.)) then |
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91 | ARELAX(I,J)=0. |
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92 | BRELAX(I,J)=UXBAR(I+1,J)*dtsdx |
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93 | CRELAX(I,J)=-UXBAR(I,J)*dtsdx |
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94 | |
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95 | ! ecoulement divergent |
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96 | else if ((UXBAR(I,J).le.0.).and.(UXBAR(I+1,J).ge.0.)) then |
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97 | ARELAX(I,J)=0. |
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98 | BRELAX(I,J)=0. |
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99 | CRELAX(I,J)=(UXBAR(I+1,J)-UXBAR(I,J))*dtsdx |
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100 | |
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101 | ! ecoulement convergent |
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102 | else if ((UXBAR(I,J).ge.0.).and.(UXBAR(I+1,J).le.0.)) then |
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103 | ARELAX(I,J)=-UXBAR(I,J)*dtsdx |
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104 | BRELAX(I,J)=UXBAR(I+1,J)*dtsdx |
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105 | CRELAX(I,J)=0. |
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106 | endif |
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107 | |
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108 | ! selon y |
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109 | ! ecoulement vers le haut (sens axe y) |
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110 | if ((UYBAR(I,J).ge.0.).and.(UYBAR(I,J+1).ge.0.)) then |
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111 | DRELAX(I,J)=-UYBAR(I,J)*dtsdx |
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112 | ERELAX(I,J)=0. |
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113 | CRELAX(I,J)=1.+(CRELAX(I,J)+(UYBAR(I,J+1)*dtsdx)) |
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114 | |
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115 | ! ecoulement vers le bas |
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116 | else if ((UYBAR(I,J).le.0.).and.(UYBAR(I,J+1).le.0.)) then |
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117 | DRELAX(I,J)=0. |
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118 | ERELAX(I,J)=UYBAR(I,J+1)*dtsdx |
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119 | CRELAX(I,J)=1.+(CRELAX(I,J)-(UYBAR(I,J)*dtsdx)) |
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120 | |
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121 | ! ecoulement divergent |
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122 | else if ((UYBAR(I,J).le.0.).and.(UYBAR(I,J+1).ge.0.)) then |
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123 | DRELAX(I,J)=0. |
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124 | ERELAX(I,J)=0. |
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125 | CRELAX(I,J)=1.+(CRELAX(I,J)+(UYBAR(I,J+1)-UYBAR(I,J))*dtsdx) |
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126 | |
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127 | ! ecoulement convergent |
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128 | else if ((UYBAR(I,J).ge.0.).and.(UYBAR(I,J+1).le.0.)) then |
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129 | DRELAX(I,J)=-UYBAR(I,J)*dtsdx |
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130 | ERELAX(I,J)=UYBAR(I,J+1)*dtsdx |
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131 | CRELAX(I,J)=1.+CRELAX(I,J) |
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132 | |
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133 | endif |
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134 | ! endif |
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135 | end do |
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136 | end do |
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137 | |
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138 | ! Boucle de relaxation : |
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139 | ! ---------------------- |
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140 | |
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141 | STOPP = .false. |
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142 | dtsdx=dt/dx |
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143 | ntour=0 |
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144 | |
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145 | Do 362 WHILE(.NOT.STOPP) |
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146 | ntour=ntour+1 |
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147 | |
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148 | do j=2,NYY-1 |
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149 | do i=2,NXX-1 |
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150 | |
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151 | RESTE = (((ARELAX(I,J)*H(I-1,J) + BRELAX(I,J)*H(I+1,J)) & |
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152 | + (DRELAX(I,J)*H(I,J-1) + ERELAX(I,J)*H(I,J+1))) & |
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153 | + CRELAX(I,J)*H(I,J))- FRELAX(I,J) |
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154 | |
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155 | DELTAH(I,J) = RESTE/CRELAX(I,J) |
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156 | ! H(I,J) = H(I,J) - DELTAH(I,J) |
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157 | end do |
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158 | end do |
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159 | |
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160 | do j=2,NYY-1 |
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161 | do i=2,NXX-1 |
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162 | H(I,J) = H(I,J) - DELTAH(I,J) |
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163 | end do |
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164 | end do |
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165 | |
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166 | ! critere d'arret: |
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167 | ! ---------------- |
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168 | |
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169 | Delh=0 |
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170 | Vh=0 |
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171 | |
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172 | DO j=2,NYY-1 |
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173 | DO i=2,NXX-1 |
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174 | ! write(6,*) I,J,delh,deltah(i,j) |
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175 | Delh=Delh+deltah(i,j)**2 |
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176 | ! Vh=Vh+h(i,j)**2. |
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177 | END DO |
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178 | END DO |
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179 | |
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180 | ! testh=SQRT(Delh/Vh) |
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181 | if (delh.gt.0.) then |
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182 | testh=SQRT(Delh)/((NXX-2)*(NYY-2)) |
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183 | else |
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184 | testh=0. |
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185 | endif |
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186 | STOPP = (testh.lt.1.E-3).or.(ntour.gt.1000) |
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187 | |
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188 | |
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189 | 362 Continue |
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190 | |
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191 | ! Conditions aux limites: |
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192 | ! ----------------------- |
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193 | |
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194 | ! ************ valeurs de H pour les coins ******** |
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195 | |
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196 | DO i=2,NXX-1 |
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197 | H(i,1) = 2.*H(i,2) - H(i,3) |
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198 | H(i,NYY) = 2.*H(i,NYY-1) - H(i,NYY-2) |
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199 | END DO |
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200 | |
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201 | DO J=2,NYY-1 |
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202 | H(1,J) = 2.*H(2,j) - H(3,j) |
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203 | H(NXX,J) = 2.*H(NXX-1,j) - H(NXX-2,j) |
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204 | END DO |
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205 | |
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206 | |
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207 | h(1,1)=(h(1,2)+h(2,1))/2. |
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208 | Hdot(1,1)=0. |
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209 | h(1,NYY)=(h(1,NYY-1)+h(2,NYY))/2. |
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210 | hdot(1,NYY)=0. |
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211 | h(NXX,1)=(h(NXX,2)+h(NXX-1,1))/2. |
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212 | hdot(nxx,1)=0. |
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213 | h(NXX,NYY)=(h(NXX,NYY-1)+h(NXX-1,NYY))/2. |
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214 | hdot(nxx,nyy)=0. |
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215 | ! ========================================================================= |
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216 | |
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217 | |
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218 | ! open(87,file='test-H') |
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219 | ! write(87,*)'time=',time |
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220 | |
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221 | do J=2,NYY-1 |
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222 | do I=2,NXX-1 |
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223 | HDOT(I,J)=(H(i,j)-vieuxH(i,j))/DT |
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224 | |
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225 | |
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226 | |
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227 | ! if (abs(HDOT(I,J)).gt.hdotmax) then |
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228 | ! hdotmax=hdot(i,j) |
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229 | ! idotmax=i |
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230 | ! jdotmax=j |
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231 | ! end if |
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232 | |
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233 | ! write(87,*)i,j,h(i,j),hdot(i,j) |
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234 | end do |
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235 | end do |
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236 | |
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237 | |
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238 | ! close(87) |
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239 | |
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240 | |
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241 | end subroutine relaxation |
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242 | |
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243 | end module relaxation_mod |
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