1 | SUBROUTINE advec_s_bc( sk, sk_char ) |
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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: advec_s_bc.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 1.22 2006/02/23 09:42:08 raasch |
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14 | ! anz renamed ngp |
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15 | ! |
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16 | ! Revision 1.1 1997/08/29 08:53:46 raasch |
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17 | ! Initial revision |
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18 | ! |
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19 | ! |
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20 | ! Description: |
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21 | ! ------------ |
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22 | ! Advection term for scalar quantities using the Bott-Chlond scheme. |
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23 | ! Computation in individual steps for each of the three dimensions. |
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24 | ! Limiting assumptions: |
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25 | ! So far the scheme has been assuming equidistant grid spacing. As this is not |
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26 | ! the case in the stretched portion of the z-direction, there dzw(k) is used as |
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27 | ! a substitute for a constant grid length. This certainly causes incorrect |
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28 | ! results; however, it is hoped that they are not too apparent for weakly |
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29 | ! stretched grids. |
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30 | ! NOTE: This is a provisional, non-optimised version! |
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31 | !-------------------------------------------------------------------------------! |
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32 | |
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33 | USE advection |
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34 | USE arrays_3d |
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35 | USE cpulog |
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36 | USE grid_variables |
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37 | USE indices |
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38 | USE interfaces |
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39 | USE pegrid |
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40 | USE statistics |
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41 | USE control_parameters |
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42 | |
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43 | IMPLICIT NONE |
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44 | |
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45 | CHARACTER (LEN=*) :: sk_char |
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46 | |
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47 | INTEGER :: i, ix, j, k, ngp, sr, type_xz_2 |
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48 | |
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49 | REAL :: cim, cimf, cip, cipf, d_new, ffmax, fminus, fplus, f2, f4, f8, & |
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50 | f12, f24, f48, f1920, im, ip, m2, m3, nenner, snenn, sterm, & |
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51 | tendenz, t1, t2, zaehler |
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52 | REAL :: fmax(2), fmax_l(2) |
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53 | REAL, DIMENSION(:,:,:), POINTER :: sk |
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54 | |
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55 | REAL, DIMENSION(:,:), ALLOCATABLE :: a0, a1, a12, a2, a22, immb, imme, & |
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56 | impb, impe, ipmb, ipme, ippb, ippe |
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57 | REAL, DIMENSION(:,:,:), ALLOCATABLE :: sk_p |
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58 | |
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59 | #if defined( __t3eb ) || defined( __t3eh ) || defined( __t3ej2 ) || defined( __t3ej5 ) |
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60 | REAL (kind=4) :: m1n, m1z !Wichtig: Division |
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61 | REAL (kind=4), DIMENSION(:,:), ALLOCATABLE :: m1, sw |
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62 | #else |
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63 | REAL :: m1n, m1z |
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64 | REAL, DIMENSION(:,:), ALLOCATABLE :: m1, sw |
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65 | #endif |
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66 | |
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67 | |
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68 | ! |
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69 | !-- Array sk_p requires 2 extra elements for each dimension |
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70 | ALLOCATE( sk_p(nzb-2:nzt+2,nys-3:nyn+3,nxl-3:nxr+3) ) |
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71 | sk_p = 0.0 |
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72 | |
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73 | ! |
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74 | !-- Assign reciprocal values in order to avoid divisions later |
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75 | f2 = 0.5 |
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76 | f4 = 0.25 |
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77 | f8 = 0.125 |
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78 | f12 = 0.8333333333333333E-01 |
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79 | f24 = 0.4166666666666666E-01 |
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80 | f48 = 0.2083333333333333E-01 |
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81 | f1920 = 0.5208333333333333E-03 |
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82 | |
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83 | ! |
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84 | !-- Advection in x-direction: |
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85 | |
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86 | ! |
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87 | !-- Save the quantity to be advected in a local array |
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88 | !-- add an enlarged boundary in x-direction |
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89 | DO i = nxl-1, nxr+1 |
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90 | DO j = nys, nyn |
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91 | DO k = nzb+1, nzt-1 |
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92 | sk_p(k,j,i) = sk(k,j,i) |
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93 | ENDDO |
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94 | ENDDO |
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95 | ENDDO |
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96 | #if defined( __parallel ) |
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97 | ngp = 2 * ( nzt - nzb + 5 ) * ( nyn - nys + 7 ) |
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98 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'start' ) |
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99 | ! |
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100 | !-- Send left boundary, receive right boundary |
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101 | CALL MPI_SENDRECV( sk_p(nzb-2,nys-3,nxl+1), ngp, MPI_REAL, pleft, 0, & |
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102 | sk_p(nzb-2,nys-3,nxr+2), ngp, MPI_REAL, pright, 0, & |
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103 | comm2d, status, ierr ) |
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104 | ! |
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105 | !-- Send right boundary, receive left boundary |
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106 | CALL MPI_SENDRECV( sk_p(nzb-2,nys-3,nxr-2), ngp, MPI_REAL, pright, 1, & |
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107 | sk_p(nzb-2,nys-3,nxl-3), ngp, MPI_REAL, pleft, 1, & |
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108 | comm2d, status, ierr ) |
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109 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'pause' ) |
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110 | #else |
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111 | |
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112 | ! |
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113 | !-- Cyclic boundary conditions |
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114 | sk_p(:,nys:nyn,nxl-3) = sk_p(:,nys:nyn,nxr-2) |
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115 | sk_p(:,nys:nyn,nxl-2) = sk_p(:,nys:nyn,nxr-1) |
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116 | sk_p(:,nys:nyn,nxr+2) = sk_p(:,nys:nyn,nxl+1) |
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117 | sk_p(:,nys:nyn,nxr+3) = sk_p(:,nys:nyn,nxl+2) |
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118 | #endif |
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119 | |
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120 | ! |
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121 | !-- In case of a sloping surface, the additional gridpoints in x-direction |
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122 | !-- of the temperature field at the left and right boundary of the total |
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123 | !-- domain must be adjusted by the temperature difference between this distance |
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124 | IF ( sloping_surface .AND. sk_char == 'pt' ) THEN |
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125 | IF ( nxl == 0 ) THEN |
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126 | sk_p(:,nys:nyn,nxl-3) = sk_p(:,nys:nyn,nxl-3) - pt_slope_offset |
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127 | sk_p(:,nys:nyn,nxl-2) = sk_p(:,nys:nyn,nxl-2) - pt_slope_offset |
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128 | ENDIF |
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129 | IF ( nxr == nx ) THEN |
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130 | sk_p(:,nys:nyn,nxr+2) = sk_p(:,nys:nyn,nxr+2) + pt_slope_offset |
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131 | sk_p(:,nys:nyn,nxr+3) = sk_p(:,nys:nyn,nxr+3) + pt_slope_offset |
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132 | ENDIF |
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133 | ENDIF |
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134 | |
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135 | ! |
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136 | !-- Initialise control density |
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137 | d = 0.0 |
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138 | |
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139 | ! |
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140 | !-- Determine maxima of the first and second derivative in x-direction |
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141 | fmax_l = 0.0 |
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142 | DO i = nxl, nxr |
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143 | DO j = nys, nyn |
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144 | DO k = nzb+1, nzt-1 |
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145 | zaehler = ABS( sk_p(k,j,i+1) - 2.0 * sk_p(k,j,i) + sk_p(k,j,i-1) ) |
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146 | nenner = ABS( sk_p(k,j,i+1) - sk_p(k,j,i-1) ) |
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147 | fmax_l(1) = MAX( fmax_l(1) , zaehler ) |
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148 | fmax_l(2) = MAX( fmax_l(2) , nenner ) |
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149 | ENDDO |
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150 | ENDDO |
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151 | ENDDO |
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152 | #if defined( __parallel ) |
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153 | CALL MPI_ALLREDUCE( fmax_l, fmax, 2, MPI_REAL, MPI_MAX, comm2d, ierr ) |
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154 | #else |
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155 | fmax = fmax_l |
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156 | #endif |
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157 | |
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158 | fmax = 0.04 * fmax |
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159 | |
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160 | ! |
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161 | !-- Allocate temporary arrays |
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162 | ALLOCATE( a0(nzb+1:nzt-1,nxl-1:nxr+1), a1(nzb+1:nzt-1,nxl-1:nxr+1), & |
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163 | a2(nzb+1:nzt-1,nxl-1:nxr+1), a12(nzb+1:nzt-1,nxl-1:nxr+1), & |
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164 | a22(nzb+1:nzt-1,nxl-1:nxr+1), immb(nzb+1:nzt-1,nxl-1:nxr+1), & |
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165 | imme(nzb+1:nzt-1,nxl-1:nxr+1), impb(nzb+1:nzt-1,nxl-1:nxr+1), & |
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166 | impe(nzb+1:nzt-1,nxl-1:nxr+1), ipmb(nzb+1:nzt-1,nxl-1:nxr+1), & |
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167 | ipme(nzb+1:nzt-1,nxl-1:nxr+1), ippb(nzb+1:nzt-1,nxl-1:nxr+1), & |
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168 | ippe(nzb+1:nzt-1,nxl-1:nxr+1), m1(nzb+1:nzt-1,nxl-2:nxr+2), & |
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169 | sw(nzb+1:nzt-1,nxl-1:nxr+1) & |
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170 | ) |
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171 | imme = 0.0; impe = 0.0; ipme = 0.0; ippe = 0.0 |
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172 | |
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173 | ! |
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174 | !-- Initialise point of time measuring of the exponential portion (this would |
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175 | !-- not work if done locally within the loop) |
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176 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'start' ) |
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177 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'pause' ) |
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178 | |
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179 | ! |
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180 | !-- Outer loop of all j |
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181 | DO j = nys, nyn |
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182 | |
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183 | ! |
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184 | !-- Compute polynomial coefficients |
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185 | DO i = nxl-1, nxr+1 |
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186 | DO k = nzb+1, nzt-1 |
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187 | a12(k,i) = 0.5 * ( sk_p(k,j,i+1) - sk_p(k,j,i-1) ) |
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188 | a22(k,i) = 0.5 * ( sk_p(k,j,i+1) - 2.0 * sk_p(k,j,i) & |
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189 | + sk_p(k,j,i-1) ) |
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190 | a0(k,i) = ( 9.0 * sk_p(k,j,i+2) - 116.0 * sk_p(k,j,i+1) & |
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191 | + 2134.0 * sk_p(k,j,i) - 116.0 * sk_p(k,j,i-1) & |
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192 | + 9.0 * sk_p(k,j,i-2) ) * f1920 |
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193 | a1(k,i) = ( -5.0 * sk_p(k,j,i+2) + 34.0 * sk_p(k,j,i+1) & |
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194 | - 34.0 * sk_p(k,j,i-1) + 5.0 * sk_p(k,j,i-2) & |
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195 | ) * f48 |
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196 | a2(k,i) = ( -3.0 * sk_p(k,j,i+2) + 36.0 * sk_p(k,j,i+1) & |
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197 | - 66.0 * sk_p(k,j,i) + 36.0 * sk_p(k,j,i-1) & |
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198 | - 3.0 * sk_p(k,j,i-2) ) * f48 |
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199 | ENDDO |
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200 | ENDDO |
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201 | |
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202 | ! |
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203 | !-- Fluxes using the Bott scheme |
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204 | !-- *VOCL LOOP,UNROLL(2) |
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205 | DO i = nxl, nxr |
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206 | DO k = nzb+1, nzt-1 |
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207 | cip = MAX( 0.0, ( u(k,j,i+1) - u_gtrans ) * dt_3d * ddx ) |
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208 | cim = -MIN( 0.0, ( u(k,j,i+1) - u_gtrans ) * dt_3d * ddx ) |
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209 | cipf = 1.0 - 2.0 * cip |
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210 | cimf = 1.0 - 2.0 * cim |
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211 | ip = a0(k,i) * f2 * ( 1.0 - cipf ) & |
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212 | + a1(k,i) * f8 * ( 1.0 - cipf*cipf ) & |
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213 | + a2(k,i) * f24 * ( 1.0 - cipf*cipf*cipf ) |
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214 | im = a0(k,i+1) * f2 * ( 1.0 - cimf ) & |
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215 | - a1(k,i+1) * f8 * ( 1.0 - cimf*cimf ) & |
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216 | + a2(k,i+1) * f24 * ( 1.0 - cimf*cimf*cimf ) |
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217 | ip = MAX( ip, 0.0 ) |
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218 | im = MAX( im, 0.0 ) |
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219 | ippb(k,i) = ip * MIN( 1.0, sk_p(k,j,i) / (ip+im+1E-15) ) |
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220 | impb(k,i) = im * MIN( 1.0, sk_p(k,j,i+1) / (ip+im+1E-15) ) |
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221 | |
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222 | cip = MAX( 0.0, ( u(k,j,i) - u_gtrans ) * dt_3d * ddx ) |
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223 | cim = -MIN( 0.0, ( u(k,j,i) - u_gtrans ) * dt_3d * ddx ) |
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224 | cipf = 1.0 - 2.0 * cip |
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225 | cimf = 1.0 - 2.0 * cim |
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226 | ip = a0(k,i-1) * f2 * ( 1.0 - cipf ) & |
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227 | + a1(k,i-1) * f8 * ( 1.0 - cipf*cipf ) & |
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228 | + a2(k,i-1) * f24 * ( 1.0 - cipf*cipf*cipf ) |
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229 | im = a0(k,i) * f2 * ( 1.0 - cimf ) & |
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230 | - a1(k,i) * f8 * ( 1.0 - cimf*cimf ) & |
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231 | + a2(k,i) * f24 * ( 1.0 - cimf*cimf*cimf ) |
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232 | ip = MAX( ip, 0.0 ) |
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233 | im = MAX( im, 0.0 ) |
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234 | ipmb(k,i) = ip * MIN( 1.0, sk_p(k,j,i-1) / (ip+im+1E-15) ) |
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235 | immb(k,i) = im * MIN( 1.0, sk_p(k,j,i) / (ip+im+1E-15) ) |
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236 | ENDDO |
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237 | ENDDO |
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238 | |
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239 | ! |
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240 | !-- Compute monitor function m1 |
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241 | DO i = nxl-2, nxr+2 |
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242 | DO k = nzb+1, nzt-1 |
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243 | m1z = ABS( sk_p(k,j,i+1) - 2.0 * sk_p(k,j,i) + sk_p(k,j,i-1) ) |
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244 | m1n = ABS( sk_p(k,j,i+1) - sk_p(k,j,i-1) ) |
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245 | IF ( m1n /= 0.0 .AND. m1n >= m1z ) THEN |
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246 | m1(k,i) = m1z / m1n |
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247 | IF ( m1(k,i) /= 2.0 .AND. m1n < fmax(2) ) m1(k,i) = 0.0 |
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248 | ELSEIF ( m1n < m1z ) THEN |
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249 | m1(k,i) = -1.0 |
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250 | ELSE |
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251 | m1(k,i) = 0.0 |
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252 | ENDIF |
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253 | ENDDO |
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254 | ENDDO |
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255 | |
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256 | ! |
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257 | !-- Compute switch sw |
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258 | sw = 0.0 |
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259 | DO i = nxl-1, nxr+1 |
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260 | DO k = nzb+1, nzt-1 |
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261 | m2 = 2.0 * ABS( a1(k,i) - a12(k,i) ) / & |
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262 | MAX( ABS( a1(k,i) + a12(k,i) ), 1E-35 ) |
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263 | IF ( ABS( a1(k,i) + a12(k,i) ) < fmax(2) ) m2 = 0.0 |
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264 | |
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265 | m3 = 2.0 * ABS( a2(k,i) - a22(k,i) ) / & |
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266 | MAX( ABS( a2(k,i) + a22(k,i) ), 1E-35 ) |
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267 | IF ( ABS( a2(k,i) + a22(k,i) ) < fmax(1) ) m3 = 0.0 |
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268 | |
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269 | t1 = 0.35 |
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270 | t2 = 0.35 |
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271 | IF ( m1(k,i) == -1.0 ) t2 = 0.12 |
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272 | |
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273 | !-- *VOCL STMT,IF(10) |
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274 | IF ( m1(k,i-1) == 1.0 .OR. m1(k,i) == 1.0 .OR. m1(k,i+1) == 1.0 & |
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275 | .OR. m2 > t2 .OR. m3 > T2 .OR. & |
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276 | ( m1(k,i) > t1 .AND. m1(k,i-1) /= -1.0 .AND. & |
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277 | m1(k,i) /= -1.0 .AND. m1(k,i+1) /= -1.0 ) & |
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278 | ) sw(k,i) = 1.0 |
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279 | ENDDO |
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280 | ENDDO |
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281 | |
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282 | ! |
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283 | !-- Fluxes using the exponential scheme |
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284 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'continue' ) |
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285 | DO i = nxl, nxr |
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286 | DO k = nzb+1, nzt-1 |
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287 | |
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288 | !-- *VOCL STMT,IF(10) |
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289 | IF ( sw(k,i) == 1.0 ) THEN |
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290 | snenn = sk_p(k,j,i+1) - sk_p(k,j,i-1) |
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291 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
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292 | sterm = ( sk_p(k,j,i) - sk_p(k,j,i-1) ) / snenn |
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293 | sterm = MIN( sterm, 0.9999 ) |
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294 | sterm = MAX( sterm, 0.0001 ) |
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295 | |
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296 | ix = INT( sterm * 1000 ) + 1 |
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297 | |
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298 | cip = MAX( 0.0, ( u(k,j,i+1) - u_gtrans ) * dt_3d * ddx ) |
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299 | |
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300 | ippe(k,i) = sk_p(k,j,i-1) * cip + snenn * ( & |
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301 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
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302 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cip ) ) & |
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303 | ) & |
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304 | ) |
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305 | IF ( sterm == 0.0001 ) ippe(k,i) = sk_p(k,j,i) * cip |
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306 | IF ( sterm == 0.9999 ) ippe(k,i) = sk_p(k,j,i) * cip |
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307 | |
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308 | snenn = sk_p(k,j,i-1) - sk_p(k,j,i+1) |
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309 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
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310 | sterm = ( sk_p(k,j,i) - sk_p(k,j,i+1) ) / snenn |
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311 | sterm = MIN( sterm, 0.9999 ) |
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312 | sterm = MAX( sterm, 0.0001 ) |
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313 | |
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314 | ix = INT( sterm * 1000 ) + 1 |
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315 | |
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316 | cim = -MIN( 0.0, ( u(k,j,i) - u_gtrans ) * dt_3d * ddx ) |
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317 | |
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318 | imme(k,i) = sk_p(k,j,i+1) * cim + snenn * ( & |
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319 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
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320 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cim ) ) & |
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321 | ) & |
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322 | ) |
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323 | IF ( sterm == 0.0001 ) imme(k,i) = sk_p(k,j,i) * cim |
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324 | IF ( sterm == 0.9999 ) imme(k,i) = sk_p(k,j,i) * cim |
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325 | ENDIF |
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326 | |
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327 | !-- *VOCL STMT,IF(10) |
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328 | IF ( sw(k,i+1) == 1.0 ) THEN |
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329 | snenn = sk_p(k,j,i) - sk_p(k,j,i+2) |
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330 | IF ( ABS( snenn ) .LT. 1E-9 ) snenn = 1E-9 |
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331 | sterm = ( sk_p(k,j,i+1) - sk_p(k,j,i+2) ) / snenn |
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332 | sterm = MIN( sterm, 0.9999 ) |
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333 | sterm = MAX( sterm, 0.0001 ) |
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334 | |
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335 | ix = INT( sterm * 1000 ) + 1 |
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336 | |
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337 | cim = -MIN( 0.0, ( u(k,j,i+1) - u_gtrans ) * dt_3d * ddx ) |
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338 | |
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339 | impe(k,i) = sk_p(k,j,i+2) * cim + snenn * ( & |
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340 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
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341 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cim ) ) & |
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342 | ) & |
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343 | ) |
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344 | IF ( sterm == 0.0001 ) impe(k,i) = sk_p(k,j,i+1) * cim |
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345 | IF ( sterm == 0.9999 ) impe(k,i) = sk_p(k,j,i+1) * cim |
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346 | ENDIF |
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347 | |
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348 | !-- *VOCL STMT,IF(10) |
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349 | IF ( sw(k,i-1) == 1.0 ) THEN |
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350 | snenn = sk_p(k,j,i) - sk_p(k,j,i-2) |
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351 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
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352 | sterm = ( sk_p(k,j,i-1) - sk_p(k,j,i-2) ) / snenn |
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353 | sterm = MIN( sterm, 0.9999 ) |
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354 | sterm = MAX( sterm, 0.0001 ) |
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355 | |
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356 | ix = INT( sterm * 1000 ) + 1 |
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357 | |
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358 | cip = MAX( 0.0, ( u(k,j,i) - u_gtrans ) * dt_3d * ddx ) |
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359 | |
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360 | ipme(k,i) = sk_p(k,j,i-2) * cip + snenn * ( & |
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361 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
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362 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cip ) ) & |
---|
363 | ) & |
---|
364 | ) |
---|
365 | IF ( sterm == 0.0001 ) ipme(k,i) = sk_p(k,j,i-1) * cip |
---|
366 | IF ( sterm == 0.9999 ) ipme(k,i) = sk_p(k,j,i-1) * cip |
---|
367 | ENDIF |
---|
368 | |
---|
369 | ENDDO |
---|
370 | ENDDO |
---|
371 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'pause' ) |
---|
372 | |
---|
373 | ! |
---|
374 | !-- Prognostic equation |
---|
375 | DO i = nxl, nxr |
---|
376 | DO k = nzb+1, nzt-1 |
---|
377 | fplus = ( 1.0 - sw(k,i) ) * ippb(k,i) + sw(k,i) * ippe(k,i) & |
---|
378 | - ( 1.0 - sw(k,i+1) ) * impb(k,i) - sw(k,i+1) * impe(k,i) |
---|
379 | fminus = ( 1.0 - sw(k,i-1) ) * ipmb(k,i) + sw(k,i-1) * ipme(k,i) & |
---|
380 | - ( 1.0 - sw(k,i) ) * immb(k,i) - sw(k,i) * imme(k,i) |
---|
381 | tendenz = fplus - fminus |
---|
382 | ! |
---|
383 | !-- Removed in order to optimize speed |
---|
384 | ! ffmax = MAX( ABS( fplus ), ABS( fminus ), 1E-35 ) |
---|
385 | ! IF ( ( ABS( tendenz ) / ffmax ) < 1E-7 ) tendenz = 0.0 |
---|
386 | ! |
---|
387 | !-- Density correction because of possible remaining divergences |
---|
388 | d_new = d(k,j,i) - ( u(k,j,i+1) - u(k,j,i) ) * dt_3d * ddx |
---|
389 | sk_p(k,j,i) = ( ( 1.0 + d(k,j,i) ) * sk_p(k,j,i) - tendenz ) / & |
---|
390 | ( 1.0 + d_new ) |
---|
391 | d(k,j,i) = d_new |
---|
392 | ENDDO |
---|
393 | ENDDO |
---|
394 | |
---|
395 | ENDDO ! End of the advection in x-direction |
---|
396 | |
---|
397 | ! |
---|
398 | !-- Deallocate temporary arrays |
---|
399 | DEALLOCATE( a0, a1, a2, a12, a22, immb, imme, impb, impe, ipmb, ipme, & |
---|
400 | ippb, ippe, m1, sw ) |
---|
401 | |
---|
402 | |
---|
403 | ! |
---|
404 | !-- Enlarge boundary of local array cyclically in y-direction |
---|
405 | #if defined( __parallel ) |
---|
406 | ngp = ( nzt - nzb + 5 ) * ( nyn - nys + 7 ) |
---|
407 | CALL MPI_TYPE_VECTOR( nxr-nxl+7, 3*(nzt-nzb+5), ngp, MPI_REAL, & |
---|
408 | type_xz_2, ierr ) |
---|
409 | CALL MPI_TYPE_COMMIT( type_xz_2, ierr ) |
---|
410 | ! |
---|
411 | !-- Send front boundary, receive rear boundary |
---|
412 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'continue' ) |
---|
413 | CALL MPI_SENDRECV( sk_p(nzb-2,nys,nxl-3), 1, type_xz_2, psouth, 0, & |
---|
414 | sk_p(nzb-2,nyn+1,nxl-3), 1, type_xz_2, pnorth, 0, & |
---|
415 | comm2d, status, ierr ) |
---|
416 | ! |
---|
417 | !-- Send rear boundary, receive front boundary |
---|
418 | CALL MPI_SENDRECV( sk_p(nzb-2,nyn-2,nxl-3), 1, type_xz_2, pnorth, 1, & |
---|
419 | sk_p(nzb-2,nys-3,nxl-3), 1, type_xz_2, psouth, 1, & |
---|
420 | comm2d, status, ierr ) |
---|
421 | CALL MPI_TYPE_FREE( type_xz_2, ierr ) |
---|
422 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'pause' ) |
---|
423 | #else |
---|
424 | DO i = nxl, nxr |
---|
425 | DO k = nzb+1, nzt-1 |
---|
426 | sk_p(k,nys-1,i) = sk_p(k,nyn,i) |
---|
427 | sk_p(k,nys-2,i) = sk_p(k,nyn-1,i) |
---|
428 | sk_p(k,nys-3,i) = sk_p(k,nyn-2,i) |
---|
429 | sk_p(k,nyn+1,i) = sk_p(k,nys,i) |
---|
430 | sk_p(k,nyn+2,i) = sk_p(k,nys+1,i) |
---|
431 | sk_p(k,nyn+3,i) = sk_p(k,nys+2,i) |
---|
432 | ENDDO |
---|
433 | ENDDO |
---|
434 | #endif |
---|
435 | |
---|
436 | ! |
---|
437 | !-- Determine the maxima of the first and second derivative in y-direction |
---|
438 | fmax_l = 0.0 |
---|
439 | DO i = nxl, nxr |
---|
440 | DO j = nys, nyn |
---|
441 | DO k = nzb+1, nzt-1 |
---|
442 | zaehler = ABS( sk_p(k,j+1,i) - 2.0 * sk_p(k,j,i) + sk_p(k,j-1,i) ) |
---|
443 | nenner = ABS( sk_p(k,j+1,i) - sk_p(k,j-1,i) ) |
---|
444 | fmax_l(1) = MAX( fmax_l(1) , zaehler ) |
---|
445 | fmax_l(2) = MAX( fmax_l(2) , nenner ) |
---|
446 | ENDDO |
---|
447 | ENDDO |
---|
448 | ENDDO |
---|
449 | #if defined( __parallel ) |
---|
450 | CALL MPI_ALLREDUCE( fmax_l, fmax, 2, MPI_REAL, MPI_MAX, comm2d, ierr ) |
---|
451 | #else |
---|
452 | fmax = fmax_l |
---|
453 | #endif |
---|
454 | |
---|
455 | fmax = 0.04 * fmax |
---|
456 | |
---|
457 | ! |
---|
458 | !-- Allocate temporary arrays |
---|
459 | ALLOCATE( a0(nzb+1:nzt-1,nys-1:nyn+1), a1(nzb+1:nzt-1,nys-1:nyn+1), & |
---|
460 | a2(nzb+1:nzt-1,nys-1:nyn+1), a12(nzb+1:nzt-1,nys-1:nyn+1), & |
---|
461 | a22(nzb+1:nzt-1,nys-1:nyn+1), immb(nzb+1:nzt-1,nys-1:nyn+1), & |
---|
462 | imme(nzb+1:nzt-1,nys-1:nyn+1), impb(nzb+1:nzt-1,nys-1:nyn+1), & |
---|
463 | impe(nzb+1:nzt-1,nys-1:nyn+1), ipmb(nzb+1:nzt-1,nys-1:nyn+1), & |
---|
464 | ipme(nzb+1:nzt-1,nys-1:nyn+1), ippb(nzb+1:nzt-1,nys-1:nyn+1), & |
---|
465 | ippe(nzb+1:nzt-1,nys-1:nyn+1), m1(nzb+1:nzt-1,nys-2:nyn+2), & |
---|
466 | sw(nzb+1:nzt-1,nys-1:nyn+1) & |
---|
467 | ) |
---|
468 | imme = 0.0; impe = 0.0; ipme = 0.0; ippe = 0.0 |
---|
469 | |
---|
470 | ! |
---|
471 | !-- Outer loop of all i |
---|
472 | DO i = nxl, nxr |
---|
473 | |
---|
474 | ! |
---|
475 | !-- Compute polynomial coefficients |
---|
476 | DO j = nys-1, nyn+1 |
---|
477 | DO k = nzb+1, nzt-1 |
---|
478 | a12(k,j) = 0.5 * ( sk_p(k,j+1,i) - sk_p(k,j-1,i) ) |
---|
479 | a22(k,j) = 0.5 * ( sk_p(k,j+1,i) - 2.0 * sk_p(k,j,i) & |
---|
480 | + sk_p(k,j-1,i) ) |
---|
481 | a0(k,j) = ( 9.0 * sk_p(k,j+2,i) - 116.0 * sk_p(k,j+1,i) & |
---|
482 | + 2134.0 * sk_p(k,j,i) - 116.0 * sk_p(k,j-1,i) & |
---|
483 | + 9.0 * sk_p(k,j-2,i) ) * f1920 |
---|
484 | a1(k,j) = ( -5.0 * sk_p(k,j+2,i) + 34.0 * sk_p(k,j+1,i) & |
---|
485 | - 34.0 * sk_p(k,j-1,i) + 5.0 * sk_p(k,j-2,i) & |
---|
486 | ) * f48 |
---|
487 | a2(k,j) = ( -3.0 * sk_p(k,j+2,i) + 36.0 * sk_p(k,j+1,i) & |
---|
488 | - 66.0 * sk_p(k,j,i) + 36.0 * sk_p(k,j-1,i) & |
---|
489 | - 3.0 * sk_p(k,j-2,i) ) * f48 |
---|
490 | ENDDO |
---|
491 | ENDDO |
---|
492 | |
---|
493 | ! |
---|
494 | !-- Fluxes using the Bott scheme |
---|
495 | !-- *VOCL LOOP,UNROLL(2) |
---|
496 | DO j = nys, nyn |
---|
497 | DO k = nzb+1, nzt-1 |
---|
498 | cip = MAX( 0.0, ( v(k,j+1,i) - v_gtrans ) * dt_3d * ddy ) |
---|
499 | cim = -MIN( 0.0, ( v(k,j+1,i) - v_gtrans ) * dt_3d * ddy ) |
---|
500 | cipf = 1.0 - 2.0 * cip |
---|
501 | cimf = 1.0 - 2.0 * cim |
---|
502 | ip = a0(k,j) * f2 * ( 1.0 - cipf ) & |
---|
503 | + a1(k,j) * f8 * ( 1.0 - cipf*cipf ) & |
---|
504 | + a2(k,j) * f24 * ( 1.0 - cipf*cipf*cipf ) |
---|
505 | im = a0(k,j+1) * f2 * ( 1.0 - cimf ) & |
---|
506 | - a1(k,j+1) * f8 * ( 1.0 - cimf*cimf ) & |
---|
507 | + a2(k,j+1) * f24 * ( 1.0 - cimf*cimf*cimf ) |
---|
508 | ip = MAX( ip, 0.0 ) |
---|
509 | im = MAX( im, 0.0 ) |
---|
510 | ippb(k,j) = ip * MIN( 1.0, sk_p(k,j,i) / (ip+im+1E-15) ) |
---|
511 | impb(k,j) = im * MIN( 1.0, sk_p(k,j+1,i) / (ip+im+1E-15) ) |
---|
512 | |
---|
513 | cip = MAX( 0.0, ( v(k,j,i) - v_gtrans ) * dt_3d * ddy ) |
---|
514 | cim = -MIN( 0.0, ( v(k,j,i) - v_gtrans ) * dt_3d * ddy ) |
---|
515 | cipf = 1.0 - 2.0 * cip |
---|
516 | cimf = 1.0 - 2.0 * cim |
---|
517 | ip = a0(k,j-1) * f2 * ( 1.0 - cipf ) & |
---|
518 | + a1(k,j-1) * f8 * ( 1.0 - cipf*cipf ) & |
---|
519 | + a2(k,j-1) * f24 * ( 1.0 - cipf*cipf*cipf ) |
---|
520 | im = a0(k,j) * f2 * ( 1.0 - cimf ) & |
---|
521 | - a1(k,j) * f8 * ( 1.0 - cimf*cimf ) & |
---|
522 | + a2(k,j) * f24 * ( 1.0 - cimf*cimf*cimf ) |
---|
523 | ip = MAX( ip, 0.0 ) |
---|
524 | im = MAX( im, 0.0 ) |
---|
525 | ipmb(k,j) = ip * MIN( 1.0, sk_p(k,j-1,i) / (ip+im+1E-15) ) |
---|
526 | immb(k,j) = im * MIN( 1.0, sk_p(k,j,i) / (ip+im+1E-15) ) |
---|
527 | ENDDO |
---|
528 | ENDDO |
---|
529 | |
---|
530 | ! |
---|
531 | !-- Compute monitor function m1 |
---|
532 | DO j = nys-2, nyn+2 |
---|
533 | DO k = nzb+1, nzt-1 |
---|
534 | m1z = ABS( sk_p(k,j+1,i) - 2.0 * sk_p(k,j,i) + sk_p(k,j-1,i) ) |
---|
535 | m1n = ABS( sk_p(k,j+1,i) - sk_p(k,j-1,i) ) |
---|
536 | IF ( m1n /= 0.0 .AND. m1n >= m1z ) THEN |
---|
537 | m1(k,j) = m1z / m1n |
---|
538 | IF ( m1(k,j) /= 2.0 .AND. m1n < fmax(2) ) m1(k,j) = 0.0 |
---|
539 | ELSEIF ( m1n < m1z ) THEN |
---|
540 | m1(k,j) = -1.0 |
---|
541 | ELSE |
---|
542 | m1(k,j) = 0.0 |
---|
543 | ENDIF |
---|
544 | ENDDO |
---|
545 | ENDDO |
---|
546 | |
---|
547 | ! |
---|
548 | !-- Compute switch sw |
---|
549 | sw = 0.0 |
---|
550 | DO j = nys-1, nyn+1 |
---|
551 | DO k = nzb+1, nzt-1 |
---|
552 | m2 = 2.0 * ABS( a1(k,j) - a12(k,j) ) / & |
---|
553 | MAX( ABS( a1(k,j) + a12(k,j) ), 1E-35 ) |
---|
554 | IF ( ABS( a1(k,j) + a12(k,j) ) < fmax(2) ) m2 = 0.0 |
---|
555 | |
---|
556 | m3 = 2.0 * ABS( a2(k,j) - a22(k,j) ) / & |
---|
557 | MAX( ABS( a2(k,j) + a22(k,j) ), 1E-35 ) |
---|
558 | IF ( ABS( a2(k,j) + a22(k,j) ) < fmax(1) ) m3 = 0.0 |
---|
559 | |
---|
560 | t1 = 0.35 |
---|
561 | t2 = 0.35 |
---|
562 | IF ( m1(k,j) == -1.0 ) t2 = 0.12 |
---|
563 | |
---|
564 | !-- *VOCL STMT,IF(10) |
---|
565 | IF ( m1(k,j-1) == 1.0 .OR. m1(k,j) == 1.0 .OR. m1(k,j+1) == 1.0 & |
---|
566 | .OR. m2 > t2 .OR. m3 > T2 .OR. & |
---|
567 | ( m1(k,j) > t1 .AND. m1(k,j-1) /= -1.0 .AND. & |
---|
568 | m1(k,j) /= -1.0 .AND. m1(k,j+1) /= -1.0 ) & |
---|
569 | ) sw(k,j) = 1.0 |
---|
570 | ENDDO |
---|
571 | ENDDO |
---|
572 | |
---|
573 | ! |
---|
574 | !-- Fluxes using exponential scheme |
---|
575 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'continue' ) |
---|
576 | DO j = nys, nyn |
---|
577 | DO k = nzb+1, nzt-1 |
---|
578 | |
---|
579 | !-- *VOCL STMT,IF(10) |
---|
580 | IF ( sw(k,j) == 1.0 ) THEN |
---|
581 | snenn = sk_p(k,j+1,i) - sk_p(k,j-1,i) |
---|
582 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
---|
583 | sterm = ( sk_p(k,j,i) - sk_p(k,j-1,i) ) / snenn |
---|
584 | sterm = MIN( sterm, 0.9999 ) |
---|
585 | sterm = MAX( sterm, 0.0001 ) |
---|
586 | |
---|
587 | ix = INT( sterm * 1000 ) + 1 |
---|
588 | |
---|
589 | cip = MAX( 0.0, ( v(k,j+1,i) - v_gtrans ) * dt_3d * ddy ) |
---|
590 | |
---|
591 | ippe(k,j) = sk_p(k,j-1,i) * cip + snenn * ( & |
---|
592 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
593 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cip ) ) & |
---|
594 | ) & |
---|
595 | ) |
---|
596 | IF ( sterm == 0.0001 ) ippe(k,j) = sk_p(k,j,i) * cip |
---|
597 | IF ( sterm == 0.9999 ) ippe(k,j) = sk_p(k,j,i) * cip |
---|
598 | |
---|
599 | snenn = sk_p(k,j-1,i) - sk_p(k,j+1,i) |
---|
600 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
---|
601 | sterm = ( sk_p(k,j,i) - sk_p(k,j+1,i) ) / snenn |
---|
602 | sterm = MIN( sterm, 0.9999 ) |
---|
603 | sterm = MAX( sterm, 0.0001 ) |
---|
604 | |
---|
605 | ix = INT( sterm * 1000 ) + 1 |
---|
606 | |
---|
607 | cim = -MIN( 0.0, ( v(k,j,i) - v_gtrans ) * dt_3d * ddy ) |
---|
608 | |
---|
609 | imme(k,j) = sk_p(k,j+1,i) * cim + snenn * ( & |
---|
610 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
611 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cim ) ) & |
---|
612 | ) & |
---|
613 | ) |
---|
614 | IF ( sterm == 0.0001 ) imme(k,j) = sk_p(k,j,i) * cim |
---|
615 | IF ( sterm == 0.9999 ) imme(k,j) = sk_p(k,j,i) * cim |
---|
616 | ENDIF |
---|
617 | |
---|
618 | !-- *VOCL STMT,IF(10) |
---|
619 | IF ( sw(k,j+1) == 1.0 ) THEN |
---|
620 | snenn = sk_p(k,j,i) - sk_p(k,j+2,i) |
---|
621 | IF ( ABS( snenn ) .LT. 1E-9 ) snenn = 1E-9 |
---|
622 | sterm = ( sk_p(k,j+1,i) - sk_p(k,j+2,i) ) / snenn |
---|
623 | sterm = MIN( sterm, 0.9999 ) |
---|
624 | sterm = MAX( sterm, 0.0001 ) |
---|
625 | |
---|
626 | ix = INT( sterm * 1000 ) + 1 |
---|
627 | |
---|
628 | cim = -MIN( 0.0, ( v(k,j+1,i) - v_gtrans ) * dt_3d * ddy ) |
---|
629 | |
---|
630 | impe(k,j) = sk_p(k,j+2,i) * cim + snenn * ( & |
---|
631 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
632 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cim ) ) & |
---|
633 | ) & |
---|
634 | ) |
---|
635 | IF ( sterm == 0.0001 ) impe(k,j) = sk_p(k,j+1,i) * cim |
---|
636 | IF ( sterm == 0.9999 ) impe(k,j) = sk_p(k,j+1,i) * cim |
---|
637 | ENDIF |
---|
638 | |
---|
639 | !-- *VOCL STMT,IF(10) |
---|
640 | IF ( sw(k,j-1) == 1.0 ) THEN |
---|
641 | snenn = sk_p(k,j,i) - sk_p(k,j-2,i) |
---|
642 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
---|
643 | sterm = ( sk_p(k,j-1,i) - sk_p(k,j-2,i) ) / snenn |
---|
644 | sterm = MIN( sterm, 0.9999 ) |
---|
645 | sterm = MAX( sterm, 0.0001 ) |
---|
646 | |
---|
647 | ix = INT( sterm * 1000 ) + 1 |
---|
648 | |
---|
649 | cip = MAX( 0.0, ( v(k,j,i) - v_gtrans ) * dt_3d * ddy ) |
---|
650 | |
---|
651 | ipme(k,j) = sk_p(k,j-2,i) * cip + snenn * ( & |
---|
652 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
653 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cip ) ) & |
---|
654 | ) & |
---|
655 | ) |
---|
656 | IF ( sterm == 0.0001 ) ipme(k,j) = sk_p(k,j-1,i) * cip |
---|
657 | IF ( sterm == 0.9999 ) ipme(k,j) = sk_p(k,j-1,i) * cip |
---|
658 | ENDIF |
---|
659 | |
---|
660 | ENDDO |
---|
661 | ENDDO |
---|
662 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'pause' ) |
---|
663 | |
---|
664 | ! |
---|
665 | !-- Prognostic equation |
---|
666 | DO j = nys, nyn |
---|
667 | DO k = nzb+1, nzt-1 |
---|
668 | fplus = ( 1.0 - sw(k,j) ) * ippb(k,j) + sw(k,j) * ippe(k,j) & |
---|
669 | - ( 1.0 - sw(k,j+1) ) * impb(k,j) - sw(k,j+1) * impe(k,j) |
---|
670 | fminus = ( 1.0 - sw(k,j-1) ) * ipmb(k,j) + sw(k,j-1) * ipme(k,j) & |
---|
671 | - ( 1.0 - sw(k,j) ) * immb(k,j) - sw(k,j) * imme(k,j) |
---|
672 | tendenz = fplus - fminus |
---|
673 | ! |
---|
674 | !-- Removed in order to optimise speed |
---|
675 | ! ffmax = MAX( ABS( fplus ), ABS( fminus ), 1E-35 ) |
---|
676 | ! IF ( ( ABS( tendenz ) / ffmax ) < 1E-7 ) tendenz = 0.0 |
---|
677 | ! |
---|
678 | !-- Density correction because of possible remaining divergences |
---|
679 | d_new = d(k,j,i) - ( v(k,j+1,i) - v(k,j,i) ) * dt_3d * ddy |
---|
680 | sk_p(k,j,i) = ( ( 1.0 + d(k,j,i) ) * sk_p(k,j,i) - tendenz ) / & |
---|
681 | ( 1.0 + d_new ) |
---|
682 | d(k,j,i) = d_new |
---|
683 | ENDDO |
---|
684 | ENDDO |
---|
685 | |
---|
686 | ENDDO ! End of the advection in y-direction |
---|
687 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'continue' ) |
---|
688 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'stop' ) |
---|
689 | |
---|
690 | ! |
---|
691 | !-- Deallocate temporary arrays |
---|
692 | DEALLOCATE( a0, a1, a2, a12, a22, immb, imme, impb, impe, ipmb, ipme, & |
---|
693 | ippb, ippe, m1, sw ) |
---|
694 | |
---|
695 | |
---|
696 | ! |
---|
697 | !-- Initialise for the computation of heat fluxes (see below; required in |
---|
698 | !-- UP flow_statistics) |
---|
699 | IF ( sk_char == 'pt' ) sums_wsts_bc_l = 0.0 |
---|
700 | |
---|
701 | ! |
---|
702 | !-- Add top and bottom boundaries according to the relevant boundary conditions |
---|
703 | IF ( sk_char == 'pt' ) THEN |
---|
704 | |
---|
705 | ! |
---|
706 | !-- Temperature boundary condition at the bottom boundary |
---|
707 | IF ( ibc_pt_b == 0 ) THEN |
---|
708 | ! |
---|
709 | !-- Dirichlet (fixed surface temperature) |
---|
710 | DO i = nxl, nxr |
---|
711 | DO j = nys, nyn |
---|
712 | sk_p(nzb-1,j,i) = sk_p(nzb,j,i) |
---|
713 | sk_p(nzb-2,j,i) = sk_p(nzb,j,i) |
---|
714 | ENDDO |
---|
715 | ENDDO |
---|
716 | |
---|
717 | ELSE |
---|
718 | ! |
---|
719 | !-- Neumann (i.e. here zero gradient) |
---|
720 | DO i = nxl, nxr |
---|
721 | DO j = nys, nyn |
---|
722 | sk_p(nzb,j,i) = sk_p(nzb+1,j,i) |
---|
723 | sk_p(nzb-1,j,i) = sk_p(nzb+1,j,i) |
---|
724 | sk_p(nzb-2,j,i) = sk_p(nzb+1,j,i) |
---|
725 | ENDDO |
---|
726 | ENDDO |
---|
727 | |
---|
728 | ENDIF |
---|
729 | |
---|
730 | ! |
---|
731 | !-- Temperature boundary condition at the top boundary |
---|
732 | IF ( ibc_pt_t == 0 ) THEN |
---|
733 | ! |
---|
734 | !-- Dirichlet |
---|
735 | DO i = nxl, nxr |
---|
736 | DO j = nys, nyn |
---|
737 | sk_p(nzt+1,j,i) = sk_p(nzt,j,i) |
---|
738 | sk_p(nzt+2,j,i) = sk_p(nzt,j,i) |
---|
739 | ENDDO |
---|
740 | ENDDO |
---|
741 | |
---|
742 | ELSE |
---|
743 | ! |
---|
744 | !-- Neumann: dzu(nzt+2) is not defined, thus instead dzu(nzt+1) is used |
---|
745 | DO i = nxl, nxr |
---|
746 | DO j = nys, nyn |
---|
747 | sk_p(nzt,j,i) = sk_p(nzt-1,j,i) + bc_pt_t_val * dzu(nzt) |
---|
748 | sk_p(nzt+1,j,i) = sk_p(nzt,j,i) + bc_pt_t_val * dzu(nzt+1) |
---|
749 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) + bc_pt_t_val * dzu(nzt+1) |
---|
750 | ENDDO |
---|
751 | ENDDO |
---|
752 | |
---|
753 | ENDIF |
---|
754 | |
---|
755 | ELSEIF ( sk_char == 'q' ) THEN |
---|
756 | |
---|
757 | ! |
---|
758 | !-- Temperature boundary condition at the bottom boundary |
---|
759 | IF ( ibc_q_b == 0 ) THEN |
---|
760 | ! |
---|
761 | !-- Dirichlet (fixed surface temperature) |
---|
762 | DO i = nxl, nxr |
---|
763 | DO j = nys, nyn |
---|
764 | sk_p(nzb-1,j,i) = sk_p(nzb,j,i) |
---|
765 | sk_p(nzb-2,j,i) = sk_p(nzb,j,i) |
---|
766 | ENDDO |
---|
767 | ENDDO |
---|
768 | |
---|
769 | ELSE |
---|
770 | ! |
---|
771 | !-- Neumann (i.e. here zero gradient) |
---|
772 | DO i = nxl, nxr |
---|
773 | DO j = nys, nyn |
---|
774 | sk_p(nzb,j,i) = sk_p(nzb+1,j,i) |
---|
775 | sk_p(nzb-1,j,i) = sk_p(nzb+1,j,i) |
---|
776 | sk_p(nzb-2,j,i) = sk_p(nzb+1,j,i) |
---|
777 | ENDDO |
---|
778 | ENDDO |
---|
779 | |
---|
780 | ENDIF |
---|
781 | |
---|
782 | ! |
---|
783 | !-- Temperature boundary condition at the top boundary |
---|
784 | IF ( ibc_q_t == 0 ) THEN |
---|
785 | ! |
---|
786 | !-- Dirichlet |
---|
787 | DO i = nxl, nxr |
---|
788 | DO j = nys, nyn |
---|
789 | sk_p(nzt+1,j,i) = sk_p(nzt,j,i) |
---|
790 | sk_p(nzt+2,j,i) = sk_p(nzt,j,i) |
---|
791 | ENDDO |
---|
792 | ENDDO |
---|
793 | |
---|
794 | ELSE |
---|
795 | ! |
---|
796 | !-- Neumann: dzu(nzt+2) is not defined, thus instead dzu(nzt+1) is used |
---|
797 | DO i = nxl, nxr |
---|
798 | DO j = nys, nyn |
---|
799 | sk_p(nzt,j,i) = sk_p(nzt-1,j,i) + bc_q_t_val * dzu(nzt) |
---|
800 | sk_p(nzt+1,j,i) = sk_p(nzt,j,i) + bc_q_t_val * dzu(nzt+1) |
---|
801 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) + bc_q_t_val * dzu(nzt+1) |
---|
802 | ENDDO |
---|
803 | ENDDO |
---|
804 | |
---|
805 | ENDIF |
---|
806 | |
---|
807 | ELSEIF ( sk_char == 'e' ) THEN |
---|
808 | |
---|
809 | ! |
---|
810 | !-- TKE boundary condition at bottom and top boundary (generally Neumann) |
---|
811 | sk_p(nzb,j,i) = sk_p(nzb+1,j,i) |
---|
812 | sk_p(nzb-1,j,i) = sk_p(nzb+1,j,i) |
---|
813 | sk_p(nzb-2,j,i) = sk_p(nzb+1,j,i) |
---|
814 | sk_p(nzt,j,i) = sk_p(nzt-1,j,i) |
---|
815 | sk_p(nzt+1,j,i) = sk_p(nzt-1,j,i) |
---|
816 | sk_p(nzt+2,j,i) = sk_p(nzt-1,j,i) |
---|
817 | |
---|
818 | ELSE |
---|
819 | |
---|
820 | IF ( myid == 0 ) PRINT*,'+++ advec_s_bc: no vertical boundary condi', & |
---|
821 | 'tion for variable "', sk_char, '"' |
---|
822 | CALL local_stop |
---|
823 | |
---|
824 | ENDIF |
---|
825 | |
---|
826 | ! |
---|
827 | !-- Determine the maxima of the first and second derivative in z-direction |
---|
828 | fmax_l = 0.0 |
---|
829 | DO i = nxl, nxr |
---|
830 | DO j = nys, nyn |
---|
831 | DO k = nzb, nzt |
---|
832 | zaehler = ABS( sk_p(k+1,j,i) - 2.0 * sk_p(k,j,i) + sk_p(k-1,j,i) ) |
---|
833 | nenner = ABS( sk_p(k+1,j,i+1) - sk_p(k-1,j,i) ) |
---|
834 | fmax_l(1) = MAX( fmax_l(1) , zaehler ) |
---|
835 | fmax_l(2) = MAX( fmax_l(2) , nenner ) |
---|
836 | ENDDO |
---|
837 | ENDDO |
---|
838 | ENDDO |
---|
839 | #if defined( __parallel ) |
---|
840 | CALL MPI_ALLREDUCE( fmax_l, fmax, 2, MPI_REAL, MPI_MAX, comm2d, ierr ) |
---|
841 | #else |
---|
842 | fmax = fmax_l |
---|
843 | #endif |
---|
844 | |
---|
845 | fmax = 0.04 * fmax |
---|
846 | |
---|
847 | ! |
---|
848 | !-- Allocate temporary arrays |
---|
849 | ALLOCATE( a0(nzb:nzt,nys:nyn), a1(nzb:nzt,nys:nyn), & |
---|
850 | a2(nzb:nzt,nys:nyn), a12(nzb:nzt,nys:nyn), & |
---|
851 | a22(nzb:nzt,nys:nyn), immb(nzb+1:nzt-1,nys:nyn), & |
---|
852 | imme(nzb+1:nzt-1,nys:nyn), impb(nzb+1:nzt-1,nys:nyn), & |
---|
853 | impe(nzb+1:nzt-1,nys:nyn), ipmb(nzb+1:nzt-1,nys:nyn), & |
---|
854 | ipme(nzb+1:nzt-1,nys:nyn), ippb(nzb+1:nzt-1,nys:nyn), & |
---|
855 | ippe(nzb+1:nzt-1,nys:nyn), m1(nzb-1:nzt+1,nys:nyn), & |
---|
856 | sw(nzb:nzt,nys:nyn) & |
---|
857 | ) |
---|
858 | imme = 0.0; impe = 0.0; ipme = 0.0; ippe = 0.0 |
---|
859 | |
---|
860 | ! |
---|
861 | !-- Outer loop of all i |
---|
862 | DO i = nxl, nxr |
---|
863 | |
---|
864 | ! |
---|
865 | !-- Compute polynomial coefficients |
---|
866 | DO j = nys, nyn |
---|
867 | DO k = nzb, nzt |
---|
868 | a12(k,j) = 0.5 * ( sk_p(k+1,j,i) - sk_p(k-1,j,i) ) |
---|
869 | a22(k,j) = 0.5 * ( sk_p(k+1,j,i) - 2.0 * sk_p(k,j,i) & |
---|
870 | + sk_p(k-1,j,i) ) |
---|
871 | a0(k,j) = ( 9.0 * sk_p(k+2,j,i) - 116.0 * sk_p(k+1,j,i) & |
---|
872 | + 2134.0 * sk_p(k,j,i) - 116.0 * sk_p(k-1,j,i) & |
---|
873 | + 9.0 * sk_p(k-2,j,i) ) * f1920 |
---|
874 | a1(k,j) = ( -5.0 * sk_p(k+2,j,i) + 34.0 * sk_p(k+1,j,i) & |
---|
875 | - 34.0 * sk_p(k-1,j,i) + 5.0 * sk_p(k-2,j,i) & |
---|
876 | ) * f48 |
---|
877 | a2(k,j) = ( -3.0 * sk_p(k+2,j,i) + 36.0 * sk_p(k+1,j,i) & |
---|
878 | - 66.0 * sk_p(k,j,i) + 36.0 * sk_p(k-1,j,i) & |
---|
879 | - 3.0 * sk_p(k-2,j,i) ) * f48 |
---|
880 | ENDDO |
---|
881 | ENDDO |
---|
882 | |
---|
883 | ! |
---|
884 | !-- Fluxes using the Bott scheme |
---|
885 | !-- *VOCL LOOP,UNROLL(2) |
---|
886 | DO j = nys, nyn |
---|
887 | DO k = nzb+1, nzt-1 |
---|
888 | cip = MAX( 0.0, w(k,j,i) * dt_3d * ddzw(k) ) |
---|
889 | cim = -MIN( 0.0, w(k,j,i) * dt_3d * ddzw(k) ) |
---|
890 | cipf = 1.0 - 2.0 * cip |
---|
891 | cimf = 1.0 - 2.0 * cim |
---|
892 | ip = a0(k,j) * f2 * ( 1.0 - cipf ) & |
---|
893 | + a1(k,j) * f8 * ( 1.0 - cipf*cipf ) & |
---|
894 | + a2(k,j) * f24 * ( 1.0 - cipf*cipf*cipf ) |
---|
895 | im = a0(k+1,j) * f2 * ( 1.0 - cimf ) & |
---|
896 | - a1(k+1,j) * f8 * ( 1.0 - cimf*cimf ) & |
---|
897 | + a2(k+1,j) * f24 * ( 1.0 - cimf*cimf*cimf ) |
---|
898 | ip = MAX( ip, 0.0 ) |
---|
899 | im = MAX( im, 0.0 ) |
---|
900 | ippb(k,j) = ip * MIN( 1.0, sk_p(k,j,i) / (ip+im+1E-15) ) |
---|
901 | impb(k,j) = im * MIN( 1.0, sk_p(k+1,j,i) / (ip+im+1E-15) ) |
---|
902 | |
---|
903 | cip = MAX( 0.0, w(k-1,j,i) * dt_3d * ddzw(k) ) |
---|
904 | cim = -MIN( 0.0, w(k-1,j,i) * dt_3d * ddzw(k) ) |
---|
905 | cipf = 1.0 - 2.0 * cip |
---|
906 | cimf = 1.0 - 2.0 * cim |
---|
907 | ip = a0(k-1,j) * f2 * ( 1.0 - cipf ) & |
---|
908 | + a1(k-1,j) * f8 * ( 1.0 - cipf*cipf ) & |
---|
909 | + a2(k-1,j) * f24 * ( 1.0 - cipf*cipf*cipf ) |
---|
910 | im = a0(k,j) * f2 * ( 1.0 - cimf ) & |
---|
911 | - a1(k,j) * f8 * ( 1.0 - cimf*cimf ) & |
---|
912 | + a2(k,j) * f24 * ( 1.0 - cimf*cimf*cimf ) |
---|
913 | ip = MAX( ip, 0.0 ) |
---|
914 | im = MAX( im, 0.0 ) |
---|
915 | ipmb(k,j) = ip * MIN( 1.0, sk_p(k-1,j,i) / (ip+im+1E-15) ) |
---|
916 | immb(k,j) = im * MIN( 1.0, sk_p(k,j,i) / (ip+im+1E-15) ) |
---|
917 | ENDDO |
---|
918 | ENDDO |
---|
919 | |
---|
920 | ! |
---|
921 | !-- Compute monitor function m1 |
---|
922 | DO j = nys, nyn |
---|
923 | DO k = nzb-1, nzt+1 |
---|
924 | m1z = ABS( sk_p(k+1,j,i) - 2.0 * sk_p(k,j,i) + sk_p(k-1,j,i) ) |
---|
925 | m1n = ABS( sk_p(k+1,j,i) - sk_p(k-1,j,i) ) |
---|
926 | IF ( m1n /= 0.0 .AND. m1n >= m1z ) THEN |
---|
927 | m1(k,j) = m1z / m1n |
---|
928 | IF ( m1(k,j) /= 2.0 .AND. m1n < fmax(2) ) m1(k,j) = 0.0 |
---|
929 | ELSEIF ( m1n < m1z ) THEN |
---|
930 | m1(k,j) = -1.0 |
---|
931 | ELSE |
---|
932 | m1(k,j) = 0.0 |
---|
933 | ENDIF |
---|
934 | ENDDO |
---|
935 | ENDDO |
---|
936 | |
---|
937 | ! |
---|
938 | !-- Compute switch sw |
---|
939 | sw = 0.0 |
---|
940 | DO j = nys, nyn |
---|
941 | DO k = nzb, nzt |
---|
942 | m2 = 2.0 * ABS( a1(k,j) - a12(k,j) ) / & |
---|
943 | MAX( ABS( a1(k,j) + a12(k,j) ), 1E-35 ) |
---|
944 | IF ( ABS( a1(k,j) + a12(k,j) ) < fmax(2) ) m2 = 0.0 |
---|
945 | |
---|
946 | m3 = 2.0 * ABS( a2(k,j) - a22(k,j) ) / & |
---|
947 | MAX( ABS( a2(k,j) + a22(k,j) ), 1E-35 ) |
---|
948 | IF ( ABS( a2(k,j) + a22(k,j) ) < fmax(1) ) m3 = 0.0 |
---|
949 | |
---|
950 | t1 = 0.35 |
---|
951 | t2 = 0.35 |
---|
952 | IF ( m1(k,j) == -1.0 ) t2 = 0.12 |
---|
953 | |
---|
954 | !-- *VOCL STMT,IF(10) |
---|
955 | IF ( m1(k-1,j) == 1.0 .OR. m1(k,j) == 1.0 .OR. m1(k+1,j) == 1.0 & |
---|
956 | .OR. m2 > t2 .OR. m3 > T2 .OR. & |
---|
957 | ( m1(k,j) > t1 .AND. m1(k-1,j) /= -1.0 .AND. & |
---|
958 | m1(k,j) /= -1.0 .AND. m1(k+1,j) /= -1.0 ) & |
---|
959 | ) sw(k,j) = 1.0 |
---|
960 | ENDDO |
---|
961 | ENDDO |
---|
962 | |
---|
963 | ! |
---|
964 | !-- Fluxes using exponential scheme |
---|
965 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'continue' ) |
---|
966 | DO j = nys, nyn |
---|
967 | DO k = nzb+1, nzt-1 |
---|
968 | |
---|
969 | !-- *VOCL STMT,IF(10) |
---|
970 | IF ( sw(k,j) == 1.0 ) THEN |
---|
971 | snenn = sk_p(k+1,j,i) - sk_p(k-1,j,i) |
---|
972 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
---|
973 | sterm = ( sk_p(k,j,i) - sk_p(k-1,j,i) ) / snenn |
---|
974 | sterm = MIN( sterm, 0.9999 ) |
---|
975 | sterm = MAX( sterm, 0.0001 ) |
---|
976 | |
---|
977 | ix = INT( sterm * 1000 ) + 1 |
---|
978 | |
---|
979 | cip = MAX( 0.0, w(k,j,i) * dt_3d * ddzw(k) ) |
---|
980 | |
---|
981 | ippe(k,j) = sk_p(k-1,j,i) * cip + snenn * ( & |
---|
982 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
983 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cip ) ) & |
---|
984 | ) & |
---|
985 | ) |
---|
986 | IF ( sterm == 0.0001 ) ippe(k,j) = sk_p(k,j,i) * cip |
---|
987 | IF ( sterm == 0.9999 ) ippe(k,j) = sk_p(k,j,i) * cip |
---|
988 | |
---|
989 | snenn = sk_p(k-1,j,i) - sk_p(k+1,j,i) |
---|
990 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
---|
991 | sterm = ( sk_p(k,j,i) - sk_p(k+1,j,i) ) / snenn |
---|
992 | sterm = MIN( sterm, 0.9999 ) |
---|
993 | sterm = MAX( sterm, 0.0001 ) |
---|
994 | |
---|
995 | ix = INT( sterm * 1000 ) + 1 |
---|
996 | |
---|
997 | cim = -MIN( 0.0, w(k-1,j,i) * dt_3d * ddzw(k) ) |
---|
998 | |
---|
999 | imme(k,j) = sk_p(k+1,j,i) * cim + snenn * ( & |
---|
1000 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
1001 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cim ) ) & |
---|
1002 | ) & |
---|
1003 | ) |
---|
1004 | IF ( sterm == 0.0001 ) imme(k,j) = sk_p(k,j,i) * cim |
---|
1005 | IF ( sterm == 0.9999 ) imme(k,j) = sk_p(k,j,i) * cim |
---|
1006 | ENDIF |
---|
1007 | |
---|
1008 | !-- *VOCL STMT,IF(10) |
---|
1009 | IF ( sw(k+1,j) == 1.0 ) THEN |
---|
1010 | snenn = sk_p(k,j,i) - sk_p(k+2,j,i) |
---|
1011 | IF ( ABS( snenn ) .LT. 1E-9 ) snenn = 1E-9 |
---|
1012 | sterm = ( sk_p(k+1,j,i) - sk_p(k+2,j,i) ) / snenn |
---|
1013 | sterm = MIN( sterm, 0.9999 ) |
---|
1014 | sterm = MAX( sterm, 0.0001 ) |
---|
1015 | |
---|
1016 | ix = INT( sterm * 1000 ) + 1 |
---|
1017 | |
---|
1018 | cim = -MIN( 0.0, w(k,j,i) * dt_3d * ddzw(k) ) |
---|
1019 | |
---|
1020 | impe(k,j) = sk_p(k+2,j,i) * cim + snenn * ( & |
---|
1021 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
1022 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cim ) ) & |
---|
1023 | ) & |
---|
1024 | ) |
---|
1025 | IF ( sterm == 0.0001 ) impe(k,j) = sk_p(k+1,j,i) * cim |
---|
1026 | IF ( sterm == 0.9999 ) impe(k,j) = sk_p(k+1,j,i) * cim |
---|
1027 | ENDIF |
---|
1028 | |
---|
1029 | !-- *VOCL STMT,IF(10) |
---|
1030 | IF ( sw(k-1,j) == 1.0 ) THEN |
---|
1031 | snenn = sk_p(k,j,i) - sk_p(k-2,j,i) |
---|
1032 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
---|
1033 | sterm = ( sk_p(k-1,j,i) - sk_p(k-2,j,i) ) / snenn |
---|
1034 | sterm = MIN( sterm, 0.9999 ) |
---|
1035 | sterm = MAX( sterm, 0.0001 ) |
---|
1036 | |
---|
1037 | ix = INT( sterm * 1000 ) + 1 |
---|
1038 | |
---|
1039 | cip = MAX( 0.0, w(k-1,j,i) * dt_3d * ddzw(k) ) |
---|
1040 | |
---|
1041 | ipme(k,j) = sk_p(k-2,j,i) * cip + snenn * ( & |
---|
1042 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
1043 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cip ) ) & |
---|
1044 | ) & |
---|
1045 | ) |
---|
1046 | IF ( sterm == 0.0001 ) ipme(k,j) = sk_p(k-1,j,i) * cip |
---|
1047 | IF ( sterm == 0.9999 ) ipme(k,j) = sk_p(k-1,j,i) * cip |
---|
1048 | ENDIF |
---|
1049 | |
---|
1050 | ENDDO |
---|
1051 | ENDDO |
---|
1052 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'pause' ) |
---|
1053 | |
---|
1054 | ! |
---|
1055 | !-- Prognostic equation |
---|
1056 | DO j = nys, nyn |
---|
1057 | DO k = nzb+1, nzt-1 |
---|
1058 | fplus = ( 1.0 - sw(k,j) ) * ippb(k,j) + sw(k,j) * ippe(k,j) & |
---|
1059 | - ( 1.0 - sw(k+1,j) ) * impb(k,j) - sw(k+1,j) * impe(k,j) |
---|
1060 | fminus = ( 1.0 - sw(k-1,j) ) * ipmb(k,j) + sw(k-1,j) * ipme(k,j) & |
---|
1061 | - ( 1.0 - sw(k,j) ) * immb(k,j) - sw(k,j) * imme(k,j) |
---|
1062 | tendenz = fplus - fminus |
---|
1063 | ! |
---|
1064 | !-- Removed in order to optimise speed |
---|
1065 | ! ffmax = MAX( ABS( fplus ), ABS( fminus ), 1E-35 ) |
---|
1066 | ! IF ( ( ABS( tendenz ) / ffmax ) < 1E-7 ) tendenz = 0.0 |
---|
1067 | ! |
---|
1068 | !-- Density correction because of possible remaining divergences |
---|
1069 | d_new = d(k,j,i) - ( w(k,j,i) - w(k-1,j,i) ) * dt_3d * ddzw(k) |
---|
1070 | sk_p(k,j,i) = ( ( 1.0 + d(k,j,i) ) * sk_p(k,j,i) - tendenz ) / & |
---|
1071 | ( 1.0 + d_new ) |
---|
1072 | ! |
---|
1073 | !-- Store heat flux for subsequent statistics output. |
---|
1074 | !-- array m1 is here used as temporary storage |
---|
1075 | m1(k,j) = fplus / dt_3d * dzw(k) |
---|
1076 | ENDDO |
---|
1077 | ENDDO |
---|
1078 | |
---|
1079 | ! |
---|
1080 | !-- Sum up heat flux in order to order to obtain horizontal averages |
---|
1081 | IF ( sk_char == 'pt' ) THEN |
---|
1082 | DO sr = 0, statistic_regions |
---|
1083 | DO j = nys, nyn |
---|
1084 | DO k = nzb+1, nzt-1 |
---|
1085 | sums_wsts_bc_l(k,sr) = sums_wsts_bc_l(k,sr) + & |
---|
1086 | m1(k,j) * rmask(j,i,sr) |
---|
1087 | ENDDO |
---|
1088 | ENDDO |
---|
1089 | ENDDO |
---|
1090 | ENDIF |
---|
1091 | |
---|
1092 | ENDDO ! End of the advection in z-direction |
---|
1093 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'continue' ) |
---|
1094 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'stop' ) |
---|
1095 | |
---|
1096 | ! |
---|
1097 | !-- Deallocate temporary arrays |
---|
1098 | DEALLOCATE( a0, a1, a2, a12, a22, immb, imme, impb, impe, ipmb, ipme, & |
---|
1099 | ippb, ippe, m1, sw ) |
---|
1100 | |
---|
1101 | ! |
---|
1102 | !-- Store results as tendency and deallocate local array |
---|
1103 | DO i = nxl, nxr |
---|
1104 | DO j = nys, nyn |
---|
1105 | DO k = nzb+1, nzt-1 |
---|
1106 | tend(k,j,i) = tend(k,j,i) + ( sk_p(k,j,i) - sk(k,j,i) ) / dt_3d |
---|
1107 | ENDDO |
---|
1108 | ENDDO |
---|
1109 | ENDDO |
---|
1110 | |
---|
1111 | DEALLOCATE( sk_p ) |
---|
1112 | |
---|
1113 | END SUBROUTINE advec_s_bc |
---|