1 | MODULE bdylib |
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2 | !!====================================================================== |
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3 | !! *** MODULE bdylib *** |
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4 | !! Unstructured Open Boundary Cond. : Library module of generic boundary algorithms. |
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5 | !!====================================================================== |
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6 | !! History : 3.6 ! 2013 (D. Storkey) original code |
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7 | !!---------------------------------------------------------------------- |
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8 | #if defined key_bdy |
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9 | !!---------------------------------------------------------------------- |
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10 | !! 'key_bdy' : Unstructured Open Boundary Condition |
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11 | !!---------------------------------------------------------------------- |
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12 | !! bdy_orlanski_2d |
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13 | !! bdy_orlanski_3d |
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14 | !!---------------------------------------------------------------------- |
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15 | USE oce ! ocean dynamics and tracers |
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16 | USE dom_oce ! ocean space and time domain |
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17 | USE bdy_oce ! ocean open boundary conditions |
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18 | USE phycst ! physical constants |
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19 | ! |
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20 | USE in_out_manager ! |
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21 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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22 | USE timing ! Timing |
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23 | |
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24 | IMPLICIT NONE |
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25 | PRIVATE |
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26 | |
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27 | PUBLIC bdy_orlanski_2d ! routine called where? |
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28 | PUBLIC bdy_orlanski_3d ! routine called where? |
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29 | PUBLIC bdy_nmn ! routine called where? |
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30 | |
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31 | !!---------------------------------------------------------------------- |
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32 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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33 | !! $Id$ |
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34 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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35 | !!---------------------------------------------------------------------- |
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36 | CONTAINS |
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37 | |
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38 | SUBROUTINE bdy_orlanski_2d( idx, igrd, phib, phia, phi_ext, ll_npo ) |
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39 | !!---------------------------------------------------------------------- |
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40 | !! *** SUBROUTINE bdy_orlanski_2d *** |
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41 | !! |
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42 | !! - Apply Orlanski radiation condition adaptively to 2D fields: |
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43 | !! - radiation plus weak nudging at outflow points |
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44 | !! - no radiation and strong nudging at inflow points |
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45 | !! |
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46 | !! |
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47 | !! References: Marchesiello, McWilliams and Shchepetkin, Ocean Modelling vol. 3 (2001) |
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48 | !!---------------------------------------------------------------------- |
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49 | TYPE(OBC_INDEX), INTENT(in ) :: idx ! BDY indices |
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50 | INTEGER , INTENT(in ) :: igrd ! grid index |
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51 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phib ! model before 2D field |
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52 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: phia ! model after 2D field (to be updated) |
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53 | REAL(wp), DIMENSION(:) , INTENT(in ) :: phi_ext ! external forcing data |
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54 | LOGICAL , INTENT(in ) :: ll_npo ! switch for NPO version |
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55 | ! |
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56 | INTEGER :: jb ! dummy loop indices |
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57 | INTEGER :: ii, ij, iibm1, iibm2, ijbm1, ijbm2 ! 2D addresses |
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58 | INTEGER :: iijm1, iijp1, ijjm1, ijjp1 ! 2D addresses |
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59 | INTEGER :: iibm1jp1, iibm1jm1, ijbm1jp1, ijbm1jm1 ! 2D addresses |
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60 | INTEGER :: ii_offset, ij_offset ! offsets for mask indices |
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61 | INTEGER :: flagu, flagv ! short cuts |
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62 | REAL(wp) :: zmask_x, zmask_y1, zmask_y2 |
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63 | REAL(wp) :: zex1, zex2, zey, zey1, zey2 |
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64 | REAL(wp) :: zdt, zdx, zdy, znor2, zrx, zry ! intermediate calculations |
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65 | REAL(wp) :: zout, zwgt, zdy_centred |
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66 | REAL(wp) :: zdy_1, zdy_2, zsign_ups |
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67 | REAL(wp), PARAMETER :: zepsilon = 1.e-30 ! local small value |
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68 | REAL(wp), POINTER, DIMENSION(:,:) :: pmask ! land/sea mask for field |
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69 | REAL(wp), POINTER, DIMENSION(:,:) :: pmask_xdif ! land/sea mask for x-derivatives |
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70 | REAL(wp), POINTER, DIMENSION(:,:) :: pmask_ydif ! land/sea mask for y-derivatives |
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71 | REAL(wp), POINTER, DIMENSION(:,:) :: pe_xdif ! scale factors for x-derivatives |
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72 | REAL(wp), POINTER, DIMENSION(:,:) :: pe_ydif ! scale factors for y-derivatives |
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73 | !!---------------------------------------------------------------------- |
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74 | ! |
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75 | IF( nn_timing == 1 ) CALL timing_start('bdy_orlanski_2d') |
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76 | ! |
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77 | ! ----------------------------------! |
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78 | ! Orlanski boundary conditions :! |
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79 | ! ----------------------------------! |
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80 | |
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81 | SELECT CASE(igrd) |
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82 | CASE(1) |
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83 | pmask => tmask(:,:,1) |
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84 | pmask_xdif => umask(:,:,1) |
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85 | pmask_ydif => vmask(:,:,1) |
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86 | pe_xdif => e1u(:,:) |
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87 | pe_ydif => e2v(:,:) |
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88 | ii_offset = 0 |
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89 | ij_offset = 0 |
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90 | CASE(2) |
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91 | pmask => umask(:,:,1) |
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92 | pmask_xdif => tmask(:,:,1) |
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93 | pmask_ydif => fmask(:,:,1) |
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94 | pe_xdif => e1t(:,:) |
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95 | pe_ydif => e2f(:,:) |
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96 | ii_offset = 1 |
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97 | ij_offset = 0 |
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98 | CASE(3) |
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99 | pmask => vmask(:,:,1) |
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100 | pmask_xdif => fmask(:,:,1) |
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101 | pmask_ydif => tmask(:,:,1) |
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102 | pe_xdif => e1f(:,:) |
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103 | pe_ydif => e2t(:,:) |
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104 | ii_offset = 0 |
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105 | ij_offset = 1 |
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106 | CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for igrd in bdy_orlanksi_2d' ) |
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107 | END SELECT |
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108 | ! |
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109 | DO jb = 1, idx%nblenrim(igrd) |
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110 | ii = idx%nbi(jb,igrd) |
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111 | ij = idx%nbj(jb,igrd) |
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112 | flagu = int( idx%flagu(jb,igrd) ) |
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113 | flagv = int( idx%flagv(jb,igrd) ) |
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114 | ! |
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115 | ! Calculate positions of b-1 and b-2 points for this rim point |
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116 | ! also (b-1,j-1) and (b-1,j+1) points |
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117 | iibm1 = ii + flagu ; iibm2 = ii + 2*flagu |
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118 | ijbm1 = ij + flagv ; ijbm2 = ij + 2*flagv |
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119 | ! |
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120 | iijm1 = ii - abs(flagv) ; iijp1 = ii + abs(flagv) |
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121 | ijjm1 = ij - abs(flagu) ; ijjp1 = ij + abs(flagu) |
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122 | ! |
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123 | iibm1jm1 = ii + flagu - abs(flagv) ; iibm1jp1 = ii + flagu + abs(flagv) |
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124 | ijbm1jm1 = ij + flagv - abs(flagu) ; ijbm1jp1 = ij + flagv + abs(flagu) |
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125 | ! |
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126 | ! Calculate scale factors for calculation of spatial derivatives. |
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127 | zex1 = ( abs(iibm1-iibm2) * pe_xdif(iibm1+ii_offset,ijbm1 ) & |
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128 | & + abs(ijbm1-ijbm2) * pe_ydif(iibm1 ,ijbm1+ij_offset) ) |
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129 | zex2 = ( abs(iibm1-iibm2) * pe_xdif(iibm2+ii_offset,ijbm2 ) & |
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130 | & + abs(ijbm1-ijbm2) * pe_ydif(iibm2 ,ijbm2+ij_offset) ) |
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131 | zey1 = ( (iibm1-iibm1jm1) * pe_xdif(iibm1jm1+ii_offset,ijbm1jm1 ) & |
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132 | & + (ijbm1-ijbm1jm1) * pe_ydif(iibm1jm1 ,ijbm1jm1+ij_offset) ) |
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133 | zey2 = ( (iibm1jp1-iibm1) * pe_xdif(iibm1+ii_offset,ijbm1) & |
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134 | & + (ijbm1jp1-ijbm1) * pe_ydif(iibm1 ,ijbm1+ij_offset) ) |
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135 | ! make sure scale factors are nonzero |
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136 | if( zey1 .lt. rsmall ) zey1 = zey2 |
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137 | if( zey2 .lt. rsmall ) zey2 = zey1 |
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138 | zex1 = max(zex1,rsmall); zex2 = max(zex2,rsmall) |
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139 | zey1 = max(zey1,rsmall); zey2 = max(zey2,rsmall); |
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140 | ! |
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141 | ! Calculate masks for calculation of spatial derivatives. |
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142 | zmask_x = ( abs(iibm1-iibm2) * pmask_xdif(iibm2+ii_offset,ijbm2 ) & |
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143 | & + abs(ijbm1-ijbm2) * pmask_ydif(iibm2 ,ijbm2+ij_offset) ) |
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144 | zmask_y1 = ( (iibm1-iibm1jm1) * pmask_xdif(iibm1jm1+ii_offset,ijbm1jm1 ) & |
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145 | & + (ijbm1-ijbm1jm1) * pmask_ydif(iibm1jm1 ,ijbm1jm1+ij_offset) ) |
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146 | zmask_y2 = ( (iibm1jp1-iibm1) * pmask_xdif(iibm1+ii_offset,ijbm1) & |
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147 | & + (ijbm1jp1-ijbm1) * pmask_ydif(iibm1 ,ijbm1+ij_offset) ) |
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148 | |
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149 | ! Calculation of terms required for both versions of the scheme. |
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150 | ! Mask derivatives to ensure correct land boundary conditions for each variable. |
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151 | ! Centred derivative is calculated as average of "left" and "right" derivatives for |
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152 | ! this reason. |
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153 | ! Note no rdt factor in expression for zdt because it cancels in the expressions for |
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154 | ! zrx and zry. |
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155 | zdt = phia(iibm1,ijbm1) - phib(iibm1,ijbm1) |
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156 | zdx = ( ( phia(iibm1,ijbm1) - phia(iibm2,ijbm2) ) / zex2 ) * zmask_x |
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157 | zdy_1 = ( ( phib(iibm1 ,ijbm1 ) - phib(iibm1jm1,ijbm1jm1) ) / zey1 ) * zmask_y1 |
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158 | zdy_2 = ( ( phib(iibm1jp1,ijbm1jp1) - phib(iibm1 ,ijbm1) ) / zey2 ) * zmask_y2 |
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159 | zdy_centred = 0.5 * ( zdy_1 + zdy_2 ) |
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160 | !!$ zdy_centred = phib(iibm1jp1,ijbm1jp1) - phib(iibm1jm1,ijbm1jm1) |
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161 | ! upstream differencing for tangential derivatives |
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162 | zsign_ups = sign( 1., zdt * zdy_centred ) |
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163 | zsign_ups = 0.5*( zsign_ups + abs(zsign_ups) ) |
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164 | zdy = zsign_ups * zdy_1 + (1. - zsign_ups) * zdy_2 |
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165 | znor2 = zdx * zdx + zdy * zdy |
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166 | znor2 = max(znor2,zepsilon) |
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167 | ! |
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168 | zrx = zdt * zdx / ( zex1 * znor2 ) |
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169 | !!$ zrx = min(zrx,2.0_wp) |
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170 | zout = sign( 1., zrx ) |
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171 | zout = 0.5*( zout + abs(zout) ) |
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172 | zwgt = 2.*rdt*( (1.-zout) * idx%nbd(jb,igrd) + zout * idx%nbdout(jb,igrd) ) |
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173 | ! only apply radiation on outflow points |
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174 | if( ll_npo ) then !! NPO version !! |
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175 | phia(ii,ij) = (1.-zout) * ( phib(ii,ij) + zwgt * ( phi_ext(jb) - phib(ii,ij) ) ) & |
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176 | & + zout * ( phib(ii,ij) + zrx*phia(iibm1,ijbm1) & |
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177 | & + zwgt * ( phi_ext(jb) - phib(ii,ij) ) ) / ( 1. + zrx ) |
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178 | else !! full oblique radiation !! |
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179 | zsign_ups = sign( 1., zdt * zdy ) |
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180 | zsign_ups = 0.5*( zsign_ups + abs(zsign_ups) ) |
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181 | zey = zsign_ups * zey1 + (1.-zsign_ups) * zey2 |
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182 | zry = zdt * zdy / ( zey * znor2 ) |
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183 | phia(ii,ij) = (1.-zout) * ( phib(ii,ij) + zwgt * ( phi_ext(jb) - phib(ii,ij) ) ) & |
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184 | & + zout * ( phib(ii,ij) + zrx*phia(iibm1,ijbm1) & |
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185 | & - zsign_ups * zry * ( phib(ii ,ij ) - phib(iijm1,ijjm1 ) ) & |
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186 | & - (1.-zsign_ups) * zry * ( phib(iijp1,ijjp1) - phib(ii ,ij ) ) & |
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187 | & + zwgt * ( phi_ext(jb) - phib(ii,ij) ) ) / ( 1. + zrx ) |
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188 | end if |
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189 | phia(ii,ij) = phia(ii,ij) * pmask(ii,ij) |
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190 | END DO |
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191 | ! |
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192 | IF( nn_timing == 1 ) CALL timing_stop('bdy_orlanski_2d') |
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193 | ! |
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194 | END SUBROUTINE bdy_orlanski_2d |
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195 | |
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196 | |
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197 | SUBROUTINE bdy_orlanski_3d( idx, igrd, phib, phia, phi_ext, ll_npo ) |
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198 | !!---------------------------------------------------------------------- |
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199 | !! *** SUBROUTINE bdy_orlanski_3d *** |
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200 | !! |
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201 | !! - Apply Orlanski radiation condition adaptively to 3D fields: |
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202 | !! - radiation plus weak nudging at outflow points |
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203 | !! - no radiation and strong nudging at inflow points |
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204 | !! |
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205 | !! |
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206 | !! References: Marchesiello, McWilliams and Shchepetkin, Ocean Modelling vol. 3 (2001) |
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207 | !!---------------------------------------------------------------------- |
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208 | TYPE(OBC_INDEX), INTENT(in ) :: idx ! BDY indices |
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209 | INTEGER , INTENT(in ) :: igrd ! grid index |
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210 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: phib ! model before 3D field |
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211 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: phia ! model after 3D field (to be updated) |
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212 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: phi_ext ! external forcing data |
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213 | LOGICAL , INTENT(in ) :: ll_npo ! switch for NPO version |
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214 | ! |
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215 | INTEGER :: jb, jk ! dummy loop indices |
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216 | INTEGER :: ii, ij, iibm1, iibm2, ijbm1, ijbm2 ! 2D addresses |
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217 | INTEGER :: iijm1, iijp1, ijjm1, ijjp1 ! 2D addresses |
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218 | INTEGER :: iibm1jp1, iibm1jm1, ijbm1jp1, ijbm1jm1 ! 2D addresses |
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219 | INTEGER :: ii_offset, ij_offset ! offsets for mask indices |
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220 | INTEGER :: flagu, flagv ! short cuts |
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221 | REAL(wp) :: zmask_x, zmask_y1, zmask_y2 |
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222 | REAL(wp) :: zex1, zex2, zey, zey1, zey2 |
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223 | REAL(wp) :: zdt, zdx, zdy, znor2, zrx, zry ! intermediate calculations |
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224 | REAL(wp) :: zout, zwgt, zdy_centred |
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225 | REAL(wp) :: zdy_1, zdy_2, zsign_ups |
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226 | REAL(wp), PARAMETER :: zepsilon = 1.e-30 ! local small value |
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227 | REAL(wp), POINTER, DIMENSION(:,:,:) :: pmask ! land/sea mask for field |
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228 | REAL(wp), POINTER, DIMENSION(:,:,:) :: pmask_xdif ! land/sea mask for x-derivatives |
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229 | REAL(wp), POINTER, DIMENSION(:,:,:) :: pmask_ydif ! land/sea mask for y-derivatives |
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230 | REAL(wp), POINTER, DIMENSION(:,:) :: pe_xdif ! scale factors for x-derivatives |
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231 | REAL(wp), POINTER, DIMENSION(:,:) :: pe_ydif ! scale factors for y-derivatives |
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232 | !!---------------------------------------------------------------------- |
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233 | ! |
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234 | IF( nn_timing == 1 ) CALL timing_start('bdy_orlanski_3d') |
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235 | ! |
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236 | ! ----------------------------------! |
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237 | ! Orlanski boundary conditions :! |
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238 | ! ----------------------------------! |
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239 | ! |
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240 | SELECT CASE(igrd) |
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241 | CASE(1) |
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242 | pmask => tmask(:,:,:) |
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243 | pmask_xdif => umask(:,:,:) |
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244 | pmask_ydif => vmask(:,:,:) |
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245 | pe_xdif => e1u(:,:) |
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246 | pe_ydif => e2v(:,:) |
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247 | ii_offset = 0 |
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248 | ij_offset = 0 |
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249 | CASE(2) |
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250 | pmask => umask(:,:,:) |
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251 | pmask_xdif => tmask(:,:,:) |
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252 | pmask_ydif => fmask(:,:,:) |
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253 | pe_xdif => e1t(:,:) |
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254 | pe_ydif => e2f(:,:) |
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255 | ii_offset = 1 |
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256 | ij_offset = 0 |
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257 | CASE(3) |
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258 | pmask => vmask(:,:,:) |
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259 | pmask_xdif => fmask(:,:,:) |
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260 | pmask_ydif => tmask(:,:,:) |
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261 | pe_xdif => e1f(:,:) |
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262 | pe_ydif => e2t(:,:) |
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263 | ii_offset = 0 |
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264 | ij_offset = 1 |
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265 | CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for igrd in bdy_orlanksi_2d' ) |
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266 | END SELECT |
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267 | |
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268 | DO jk = 1, jpk |
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269 | ! |
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270 | DO jb = 1, idx%nblenrim(igrd) |
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271 | ii = idx%nbi(jb,igrd) |
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272 | ij = idx%nbj(jb,igrd) |
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273 | flagu = int( idx%flagu(jb,igrd) ) |
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274 | flagv = int( idx%flagv(jb,igrd) ) |
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275 | ! |
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276 | ! calculate positions of b-1 and b-2 points for this rim point |
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277 | ! also (b-1,j-1) and (b-1,j+1) points |
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278 | iibm1 = ii + flagu ; iibm2 = ii + 2*flagu |
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279 | ijbm1 = ij + flagv ; ijbm2 = ij + 2*flagv |
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280 | ! |
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281 | iijm1 = ii - abs(flagv) ; iijp1 = ii + abs(flagv) |
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282 | ijjm1 = ij - abs(flagu) ; ijjp1 = ij + abs(flagu) |
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283 | ! |
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284 | iibm1jm1 = ii + flagu - abs(flagv) ; iibm1jp1 = ii + flagu + abs(flagv) |
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285 | ijbm1jm1 = ij + flagv - abs(flagu) ; ijbm1jp1 = ij + flagv + abs(flagu) |
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286 | ! |
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287 | ! Calculate scale factors for calculation of spatial derivatives. |
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288 | zex1 = ( abs(iibm1-iibm2) * pe_xdif(iibm1+ii_offset,ijbm1 ) & |
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289 | & + abs(ijbm1-ijbm2) * pe_ydif(iibm1 ,ijbm1+ij_offset) ) |
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290 | zex2 = ( abs(iibm1-iibm2) * pe_xdif(iibm2+ii_offset,ijbm2 ) & |
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291 | & + abs(ijbm1-ijbm2) * pe_ydif(iibm2 ,ijbm2+ij_offset) ) |
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292 | zey1 = ( (iibm1-iibm1jm1) * pe_xdif(iibm1jm1+ii_offset,ijbm1jm1 ) & |
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293 | & + (ijbm1-ijbm1jm1) * pe_ydif(iibm1jm1 ,ijbm1jm1+ij_offset) ) |
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294 | zey2 = ( (iibm1jp1-iibm1) * pe_xdif(iibm1+ii_offset,ijbm1) & |
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295 | & + (ijbm1jp1-ijbm1) * pe_ydif(iibm1 ,ijbm1+ij_offset) ) |
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296 | ! make sure scale factors are nonzero |
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297 | if( zey1 .lt. rsmall ) zey1 = zey2 |
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298 | if( zey2 .lt. rsmall ) zey2 = zey1 |
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299 | zex1 = max(zex1,rsmall); zex2 = max(zex2,rsmall); |
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300 | zey1 = max(zey1,rsmall); zey2 = max(zey2,rsmall); |
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301 | ! |
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302 | ! Calculate masks for calculation of spatial derivatives. |
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303 | zmask_x = ( abs(iibm1-iibm2) * pmask_xdif(iibm2+ii_offset,ijbm2 ,jk) & |
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304 | & + abs(ijbm1-ijbm2) * pmask_ydif(iibm2 ,ijbm2+ij_offset,jk) ) |
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305 | zmask_y1 = ( (iibm1-iibm1jm1) * pmask_xdif(iibm1jm1+ii_offset,ijbm1jm1 ,jk) & |
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306 | & + (ijbm1-ijbm1jm1) * pmask_ydif(iibm1jm1 ,ijbm1jm1+ij_offset,jk) ) |
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307 | zmask_y2 = ( (iibm1jp1-iibm1) * pmask_xdif(iibm1+ii_offset,ijbm1 ,jk) & |
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308 | & + (ijbm1jp1-ijbm1) * pmask_ydif(iibm1 ,ijbm1+ij_offset,jk) ) |
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309 | ! |
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310 | ! Calculate normal (zrx) and tangential (zry) components of radiation velocities. |
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311 | ! Mask derivatives to ensure correct land boundary conditions for each variable. |
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312 | ! Centred derivative is calculated as average of "left" and "right" derivatives for |
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313 | ! this reason. |
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314 | zdt = phia(iibm1,ijbm1,jk) - phib(iibm1,ijbm1,jk) |
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315 | zdx = ( ( phia(iibm1,ijbm1,jk) - phia(iibm2,ijbm2,jk) ) / zex2 ) * zmask_x |
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316 | zdy_1 = ( ( phib(iibm1 ,ijbm1 ,jk) - phib(iibm1jm1,ijbm1jm1,jk) ) / zey1 ) * zmask_y1 |
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317 | zdy_2 = ( ( phib(iibm1jp1,ijbm1jp1,jk) - phib(iibm1 ,ijbm1 ,jk) ) / zey2 ) * zmask_y2 |
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318 | zdy_centred = 0.5 * ( zdy_1 + zdy_2 ) |
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319 | !!$ zdy_centred = phib(iibm1jp1,ijbm1jp1,jk) - phib(iibm1jm1,ijbm1jm1,jk) |
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320 | ! upstream differencing for tangential derivatives |
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321 | zsign_ups = sign( 1., zdt * zdy_centred ) |
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322 | zsign_ups = 0.5*( zsign_ups + abs(zsign_ups) ) |
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323 | zdy = zsign_ups * zdy_1 + (1. - zsign_ups) * zdy_2 |
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324 | znor2 = zdx * zdx + zdy * zdy |
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325 | znor2 = max(znor2,zepsilon) |
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326 | ! |
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327 | ! update boundary value: |
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328 | zrx = zdt * zdx / ( zex1 * znor2 ) |
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329 | !!$ zrx = min(zrx,2.0_wp) |
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330 | zout = sign( 1., zrx ) |
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331 | zout = 0.5*( zout + abs(zout) ) |
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332 | zwgt = 2.*rdt*( (1.-zout) * idx%nbd(jb,igrd) + zout * idx%nbdout(jb,igrd) ) |
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333 | ! only apply radiation on outflow points |
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334 | if( ll_npo ) then !! NPO version !! |
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335 | phia(ii,ij,jk) = (1.-zout) * ( phib(ii,ij,jk) + zwgt * ( phi_ext(jb,jk) - phib(ii,ij,jk) ) ) & |
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336 | & + zout * ( phib(ii,ij,jk) + zrx*phia(iibm1,ijbm1,jk) & |
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337 | & + zwgt * ( phi_ext(jb,jk) - phib(ii,ij,jk) ) ) / ( 1. + zrx ) |
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338 | else !! full oblique radiation !! |
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339 | zsign_ups = sign( 1., zdt * zdy ) |
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340 | zsign_ups = 0.5*( zsign_ups + abs(zsign_ups) ) |
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341 | zey = zsign_ups * zey1 + (1.-zsign_ups) * zey2 |
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342 | zry = zdt * zdy / ( zey * znor2 ) |
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343 | phia(ii,ij,jk) = (1.-zout) * ( phib(ii,ij,jk) + zwgt * ( phi_ext(jb,jk) - phib(ii,ij,jk) ) ) & |
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344 | & + zout * ( phib(ii,ij,jk) + zrx*phia(iibm1,ijbm1,jk) & |
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345 | & - zsign_ups * zry * ( phib(ii ,ij ,jk) - phib(iijm1,ijjm1,jk) ) & |
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346 | & - (1.-zsign_ups) * zry * ( phib(iijp1,ijjp1,jk) - phib(ii ,ij ,jk) ) & |
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347 | & + zwgt * ( phi_ext(jb,jk) - phib(ii,ij,jk) ) ) / ( 1. + zrx ) |
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348 | end if |
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349 | phia(ii,ij,jk) = phia(ii,ij,jk) * pmask(ii,ij,jk) |
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350 | END DO |
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351 | ! |
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352 | END DO |
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353 | ! |
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354 | IF( nn_timing == 1 ) CALL timing_stop('bdy_orlanski_3d') |
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355 | ! |
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356 | END SUBROUTINE bdy_orlanski_3d |
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357 | |
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358 | SUBROUTINE bdy_nmn( idx, igrd, phia ) |
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359 | !!---------------------------------------------------------------------- |
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360 | !! *** SUBROUTINE bdy_nmn *** |
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361 | !! |
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362 | !! ** Purpose : Duplicate the value at open boundaries, zero gradient. |
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363 | !! |
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364 | !!---------------------------------------------------------------------- |
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365 | INTEGER, INTENT(in) :: igrd ! grid index |
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366 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: phia ! model after 3D field (to be updated) |
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367 | TYPE(OBC_INDEX), INTENT(in) :: idx ! OBC indices |
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368 | !! |
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369 | REAL(wp) :: zcoef, zcoef1, zcoef2 |
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370 | REAL(wp), POINTER, DIMENSION(:,:,:) :: pmask ! land/sea mask for field |
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371 | REAL(wp), POINTER, DIMENSION(:,:) :: bdypmask ! land/sea mask for field |
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372 | INTEGER :: ib, ik ! dummy loop indices |
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373 | INTEGER :: ii, ij, ip, jp ! 2D addresses |
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374 | !!---------------------------------------------------------------------- |
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375 | ! |
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376 | IF( nn_timing == 1 ) CALL timing_start('bdy_nmn') |
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377 | ! |
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378 | SELECT CASE(igrd) |
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379 | CASE(1) |
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380 | pmask => tmask(:,:,:) |
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381 | bdypmask => bdytmask(:,:) |
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382 | CASE(2) |
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383 | pmask => umask(:,:,:) |
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384 | bdypmask => bdyumask(:,:) |
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385 | CASE(3) |
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386 | pmask => vmask(:,:,:) |
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387 | bdypmask => bdyvmask(:,:) |
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388 | CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for igrd in bdy_nmn' ) |
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389 | END SELECT |
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390 | DO ib = 1, idx%nblenrim(igrd) |
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391 | ii = idx%nbi(ib,igrd) |
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392 | ij = idx%nbj(ib,igrd) |
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393 | DO ik = 1, jpkm1 |
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394 | ! search the sense of the gradient |
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395 | zcoef1 = bdypmask(ii-1,ij )*pmask(ii-1,ij,ik) + bdypmask(ii+1,ij )*pmask(ii+1,ij,ik) |
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396 | zcoef2 = bdypmask(ii ,ij-1)*pmask(ii,ij-1,ik) + bdypmask(ii ,ij+1)*pmask(ii,ij+1,ik) |
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397 | IF ( nint(zcoef1+zcoef2) == 0) THEN |
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398 | ! corner **** we probably only want to set the tangentail component for the dynamics here |
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399 | zcoef = pmask(ii-1,ij,ik) + pmask(ii+1,ij,ik) + pmask(ii,ij-1,ik) + pmask(ii,ij+1,ik) |
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400 | IF (zcoef > .5_wp) THEN ! Only set none isolated points. |
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401 | phia(ii,ij,ik) = phia(ii-1,ij ,ik) * pmask(ii-1,ij ,ik) + & |
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402 | & phia(ii+1,ij ,ik) * pmask(ii+1,ij ,ik) + & |
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403 | & phia(ii ,ij-1,ik) * pmask(ii ,ij-1,ik) + & |
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404 | & phia(ii ,ij+1,ik) * pmask(ii ,ij+1,ik) |
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405 | phia(ii,ij,ik) = ( phia(ii,ij,ik) / zcoef ) * pmask(ii,ij,ik) |
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406 | ELSE |
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407 | phia(ii,ij,ik) = phia(ii,ij ,ik) * pmask(ii,ij ,ik) |
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408 | ENDIF |
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409 | ELSEIF ( nint(zcoef1+zcoef2) == 2) THEN |
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410 | ! oblique corner **** we probably only want to set the normal component for the dynamics here |
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411 | zcoef = pmask(ii-1,ij,ik)*bdypmask(ii-1,ij ) + pmask(ii+1,ij,ik)*bdypmask(ii+1,ij ) + & |
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412 | & pmask(ii,ij-1,ik)*bdypmask(ii,ij -1 ) + pmask(ii,ij+1,ik)*bdypmask(ii,ij+1 ) |
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413 | phia(ii,ij,ik) = phia(ii-1,ij ,ik) * pmask(ii-1,ij ,ik)*bdypmask(ii-1,ij ) + & |
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414 | & phia(ii+1,ij ,ik) * pmask(ii+1,ij ,ik)*bdypmask(ii+1,ij ) + & |
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415 | & phia(ii ,ij-1,ik) * pmask(ii ,ij-1,ik)*bdypmask(ii,ij -1 ) + & |
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416 | & phia(ii ,ij+1,ik) * pmask(ii ,ij+1,ik)*bdypmask(ii,ij+1 ) |
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417 | |
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418 | phia(ii,ij,ik) = ( phia(ii,ij,ik) / MAX(1._wp, zcoef) ) * pmask(ii,ij,ik) |
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419 | ELSE |
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420 | ip = nint(bdypmask(ii+1,ij )*pmask(ii+1,ij,ik) - bdypmask(ii-1,ij )*pmask(ii-1,ij,ik)) |
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421 | jp = nint(bdypmask(ii ,ij+1)*pmask(ii,ij+1,ik) - bdypmask(ii ,ij-1)*pmask(ii,ij-1,ik)) |
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422 | phia(ii,ij,ik) = phia(ii+ip,ij+jp,ik) * pmask(ii+ip,ij+jp,ik) |
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423 | ENDIF |
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424 | END DO |
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425 | END DO |
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426 | ! |
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427 | IF( nn_timing == 1 ) CALL timing_stop('bdy_nmn') |
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428 | ! |
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429 | END SUBROUTINE bdy_nmn |
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430 | |
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431 | #else |
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432 | !!---------------------------------------------------------------------- |
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433 | !! Dummy module NO Unstruct Open Boundary Conditions |
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434 | !!---------------------------------------------------------------------- |
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435 | CONTAINS |
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436 | SUBROUTINE bdy_orlanski_2d( idx, igrd, phib, phia, phi_ext ) ! Empty routine |
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437 | WRITE(*,*) 'bdy_orlanski_2d: You should not have seen this print! error?', kt |
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438 | END SUBROUTINE bdy_orlanski_2d |
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439 | SUBROUTINE bdy_orlanski_3d( idx, igrd, phib, phia, phi_ext ) ! Empty routine |
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440 | WRITE(*,*) 'bdy_orlanski_3d: You should not have seen this print! error?', kt |
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441 | END SUBROUTINE bdy_orlanski_3d |
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442 | SUBROUTINE bdy_nmn( idx, igrd, phia ) ! Empty routine |
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443 | WRITE(*,*) 'bdy_nmn: You should not have seen this print! error?', kt |
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444 | END SUBROUTINE bdy_nmn |
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445 | #endif |
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446 | |
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447 | !!====================================================================== |
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448 | END MODULE bdylib |
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