1 | SUBROUTINE init_rankine |
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2 | |
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3 | !------------------------------------------------------------------------------! |
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4 | ! Actual revisions: |
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5 | ! ----------------- |
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6 | ! |
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7 | ! |
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8 | ! Former revisions: |
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9 | ! ----------------- |
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10 | ! $Id: init_rankine.f90 4 2007-02-13 11:33:16Z raasch $ |
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11 | ! RCS Log replace by Id keyword, revision history cleaned up |
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12 | ! |
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13 | ! Revision 1.11 2005/03/26 20:38:49 raasch |
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14 | ! Arguments for non-cyclic boundary conditions added to argument list of |
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15 | ! routine exchange_horiz |
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16 | ! |
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17 | ! Revision 1.1 1997/08/11 06:18:43 raasch |
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18 | ! Initial revision |
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19 | ! |
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20 | ! |
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21 | ! Description: |
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22 | ! ------------ |
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23 | ! Initialize a (nondivergent) Rankine eddy with a vertical axis in order to test |
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24 | ! the advection terms and the pressure solver. |
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25 | !------------------------------------------------------------------------------! |
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26 | |
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27 | USE arrays_3d |
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28 | USE constants |
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29 | USE grid_variables |
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30 | USE indices |
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31 | USE control_parameters |
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32 | |
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33 | IMPLICIT NONE |
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34 | |
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35 | INTEGER :: i, ic, j, jc, k, kc1, kc2 |
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36 | REAL :: alpha, betrag, radius, rc, uw, vw, x, y |
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37 | |
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38 | ! |
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39 | !-- Default: eddy radius rc, eddy strength z, |
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40 | !-- position of eddy centre: ic, jc, kc1, kc2 |
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41 | rc = 4.0 * dx |
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42 | ic = ( nx+1 ) / 2 |
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43 | jc = ic |
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44 | kc1 = nzb |
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45 | kc2 = nzt+1 |
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46 | |
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47 | ! |
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48 | !-- Compute the u-component. |
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49 | DO i = nxl, nxr |
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50 | DO j = nys, nyn |
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51 | x = ( i - ic - 0.5 ) * dx |
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52 | y = ( j - jc ) * dy |
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53 | radius = SQRT( x**2 + y**2 ) |
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54 | IF ( radius <= 2.0 * rc ) THEN |
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55 | betrag = radius / ( 2.0 * rc ) * 0.08 |
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56 | ELSEIF ( radius > 2.0 * rc .AND. radius < 8.0 * rc ) THEN |
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57 | betrag = 0.08 * EXP( -( radius - 2.0 * rc ) / 2.0 ) |
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58 | ELSE |
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59 | betrag = 0.0 |
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60 | ENDIF |
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61 | |
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62 | IF ( x == 0.0 ) THEN |
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63 | IF ( y > 0.0 ) THEN |
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64 | alpha = pi / 2.0 |
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65 | ELSEIF ( y < 0.0 ) THEN |
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66 | alpha = 3.0 * pi / 2.0 |
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67 | ENDIF |
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68 | ELSE |
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69 | IF ( x < 0.0 ) THEN |
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70 | alpha = ATAN( y / x ) + pi |
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71 | ELSE |
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72 | IF ( y < 0.0 ) THEN |
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73 | alpha = ATAN( y / x ) + 2.0 * pi |
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74 | ELSE |
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75 | alpha = ATAN( y / x ) |
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76 | ENDIF |
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77 | ENDIF |
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78 | ENDIF |
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79 | |
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80 | uw = -SIN( alpha ) * betrag |
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81 | |
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82 | DO k = kc1, kc2 |
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83 | u(k,j,i) = u(k,j,i) + uw |
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84 | ENDDO |
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85 | ENDDO |
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86 | ENDDO |
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87 | |
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88 | ! |
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89 | !-- Compute the v-component. |
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90 | DO i = nxl, nxr |
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91 | DO j = nys, nyn |
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92 | x = ( i - ic ) * dx |
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93 | y = ( j - jc - 0.5) * dy |
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94 | radius = SQRT( x**2 + y**2 ) |
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95 | IF ( radius <= 2.0 * rc ) THEN |
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96 | betrag = radius / ( 2.0 * rc ) * 0.08 |
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97 | ELSEIF ( radius > 2.0 * rc .AND. radius < 8.0 * rc ) THEN |
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98 | betrag = 0.08 * EXP( -( radius - 2.0 * rc ) / 2.0 ) |
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99 | ELSE |
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100 | betrag = 0.0 |
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101 | ENDIF |
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102 | |
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103 | IF ( x == 0.0 ) THEN |
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104 | IF ( y > 0.0 ) THEN |
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105 | alpha = pi / 2.0 |
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106 | ELSEIF ( y < 0.0 ) THEN |
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107 | alpha = 3.0 * pi / 2.0 |
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108 | ENDIF |
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109 | ELSE |
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110 | IF ( x < 0.0 ) THEN |
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111 | alpha = ATAN( y / x ) + pi |
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112 | ELSE |
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113 | IF ( y < 0.0 ) THEN |
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114 | alpha = ATAN( y / x ) + 2.0 * pi |
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115 | ELSE |
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116 | alpha = ATAN( y / x ) |
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117 | ENDIF |
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118 | ENDIF |
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119 | ENDIF |
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120 | |
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121 | vw = COS( alpha ) * betrag |
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122 | |
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123 | DO k = kc1, kc2 |
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124 | v(k,j,i) = v(k,j,i) + vw |
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125 | ENDDO |
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126 | ENDDO |
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127 | ENDDO |
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128 | |
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129 | ! |
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130 | !-- Exchange of boundary values for the velocities. |
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131 | CALL exchange_horiz( u, uxrp, 0 ) |
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132 | CALL exchange_horiz( v, 0, vynp ) |
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133 | ! |
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134 | !-- Make velocity field nondivergent. |
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135 | n_sor = nsor_ini |
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136 | CALL pres |
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137 | n_sor = nsor |
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138 | |
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139 | END SUBROUTINE init_rankine |
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