| 1 | SUBROUTINE spline_y( vad_in_out, ad_v, var_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 | ! $Log: spline_y.f90,v $ |
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| 11 | ! Revision 1.9 2004/04/30 12:54:37 raasch |
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| 12 | ! Names of transpose indices changed, enlarged transposition arrays introduced |
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| 13 | ! |
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| 14 | ! Revision 1.8 2003/03/16 09:48:41 raasch |
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| 15 | ! Two underscores (_) are placed in front of all define-strings |
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| 16 | ! |
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| 17 | ! Revision 1.7 2001/03/30 07:53:40 raasch |
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| 18 | ! Arrays r and wrk_spline changed from 3D to 2D and removed from argument |
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| 19 | ! list. Several loops over k/i (parallel/non-parallel) combined to one loop. |
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| 20 | ! Application of long filter moved to this routine. All comments and identifiers |
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| 21 | ! translated into English. |
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| 22 | ! |
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| 23 | ! Revision 1.6 2001/01/22 08:09:04 raasch |
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| 24 | ! Module test_variables removed |
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| 25 | ! |
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| 26 | ! Revision 1.5 1999/11/25 16:30:42 raasch |
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| 27 | ! Laufindex-Fehler korrigiert |
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| 28 | ! |
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| 29 | ! Revision 1.4 1999/03/25 07:33:16 raasch |
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| 30 | ! Filterung der Ueberschwinger geschieht optional, ups_limit_e eingefuehrt, |
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| 31 | ! Ueberschwinger werden in gewissen Grenzen erlaubt |
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| 32 | ! |
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| 33 | ! Revision 1.3 1999/02/26 17:54:28 schroeter |
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| 34 | ! - Gradientenkontrolle fuer den nicht-parallelen Teil |
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| 35 | ! - statistische Auswertung ueber den prozentualen Anteil des |
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| 36 | ! Upstream-Verfahrens an der Gesamtadvektion fuer nicht- |
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| 37 | ! parallelen Teil |
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| 38 | ! |
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| 39 | ! Revision 1.2 1999/02/17 09:31:34 raasch |
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| 40 | ! Test einer Wertebegrenzung zur Verhinderung von Ueberschwingern |
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| 41 | ! |
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| 42 | ! Revision 1.1 1999/02/05 09:16:31 raasch |
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| 43 | ! Initial revision |
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| 44 | ! |
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| 45 | ! |
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| 46 | ! Description: |
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| 47 | ! ------------ |
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| 48 | ! Upstream-spline advection along x |
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| 49 | ! |
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| 50 | ! Input/output parameters: |
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| 51 | ! ad_v = advecting wind speed component |
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| 52 | ! vad_in_out = quantity to be advected, excluding ghost- or cyclic boundaries |
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| 53 | ! result is given to the calling routine in this array |
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| 54 | ! var_char = string which defines the quantity to be advected |
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| 55 | ! |
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| 56 | ! Internal arrays: |
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| 57 | ! r = 2D-working array (right hand side of linear equation, buffer for |
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| 58 | ! Long filter) |
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| 59 | ! tf = tendency field (2D), used for long filter |
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| 60 | ! vad = quantity to be advected (2D), including ghost- or cyclic |
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| 61 | ! boundarys along the direction of advection |
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| 62 | ! wrk_long = working array (long coefficients) |
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| 63 | ! wrk_spline = working array (spline coefficients) |
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| 64 | !------------------------------------------------------------------------------! |
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| 65 | |
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| 66 | USE advection |
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| 67 | USE grid_variables |
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| 68 | USE indices |
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| 69 | USE statistics |
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| 70 | USE control_parameters |
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| 71 | USE transpose_indices |
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| 72 | |
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| 73 | IMPLICIT NONE |
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| 74 | |
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| 75 | CHARACTER (LEN=*) :: var_char |
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| 76 | |
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| 77 | INTEGER :: component, i, j, k, sr |
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| 78 | REAL :: overshoot_limit, sm_faktor, t1, t2, t3, ups_limit |
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| 79 | REAL, DIMENSION(:,:), ALLOCATABLE :: r, tf, vad, wrk_spline |
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| 80 | REAL, DIMENSION(:,:,:), ALLOCATABLE :: wrk_long |
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| 81 | |
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| 82 | #if defined( __parallel ) |
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| 83 | REAL :: ad_v(0:nya,nxl_y:nxr_ya,nzb_y:nzt_ya), & |
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| 84 | vad_in_out(0:nya,nxl_y:nxr_ya,nzb_y:nzt_ya) |
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| 85 | #else |
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| 86 | REAL :: ad_v(nzb+1:nzt,nys:nyn,nxl:nxr), & |
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| 87 | vad_in_out(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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| 88 | #endif |
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| 89 | |
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| 90 | ! |
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| 91 | !-- Set criteria for switching between upstream- and upstream-spline-method |
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| 92 | IF ( var_char == 'u' ) THEN |
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| 93 | overshoot_limit = overshoot_limit_u |
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| 94 | ups_limit = ups_limit_u |
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| 95 | component = 1 |
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| 96 | ELSEIF ( var_char == 'v' ) THEN |
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| 97 | overshoot_limit = overshoot_limit_v |
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| 98 | ups_limit = ups_limit_v |
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| 99 | component = 2 |
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| 100 | ELSEIF ( var_char == 'w' ) THEN |
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| 101 | overshoot_limit = overshoot_limit_w |
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| 102 | ups_limit = ups_limit_w |
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| 103 | component = 3 |
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| 104 | ELSEIF ( var_char == 'pt' ) THEN |
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| 105 | overshoot_limit = overshoot_limit_pt |
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| 106 | ups_limit = ups_limit_pt |
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| 107 | component = 4 |
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| 108 | ELSEIF ( var_char == 'e' ) THEN |
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| 109 | overshoot_limit = overshoot_limit_e |
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| 110 | ups_limit = ups_limit_e |
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| 111 | component = 5 |
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| 112 | ENDIF |
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| 113 | |
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| 114 | ! |
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| 115 | !-- Initialize calculation of relative upstream fraction |
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| 116 | sums_up_fraction_l(component,2,:) = 0.0 |
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| 117 | |
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| 118 | #if defined( __parallel ) |
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| 119 | |
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| 120 | ! |
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| 121 | !-- Allocate working arrays |
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| 122 | ALLOCATE( r(-1:ny+1,nxl_y:nxr_y), & |
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| 123 | vad(-1:ny+1,nxl_y:nxr_y), & |
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| 124 | wrk_spline(0:ny,nxl_y:nxr_y) ) |
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| 125 | IF ( long_filter_factor /= 0.0 ) THEN |
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| 126 | ALLOCATE( tf(0:ny,nxl_y:nxr_y), & |
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| 127 | wrk_long(0:ny,nxl_y:nxr_y,1:3) ) |
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| 128 | ENDIF |
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| 129 | |
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| 130 | ! |
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| 131 | !-- Loop over all gridpoints along z |
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| 132 | DO k = nzb_y, nzt_y |
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| 133 | |
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| 134 | ! |
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| 135 | !-- Store array to be advected on work array and add cyclic boundary along y |
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| 136 | vad(0:ny,nxl_y:nxr_y) = vad_in_out(0:ny,nxl_y:nxr_y,k) |
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| 137 | vad(-1,:) = vad(ny,:) |
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| 138 | vad(ny+1,:) = vad(0,:) |
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| 139 | |
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| 140 | ! |
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| 141 | !-- Calculate right hand side |
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| 142 | DO i = nxl_y, nxr_y |
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| 143 | DO j = 0, ny |
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| 144 | r(j,i) = 3.0 * ( & |
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| 145 | spl_tri_y(2,j) * ( vad(j,i) - vad(j-1,i) ) * ddy + & |
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| 146 | spl_tri_y(3,j) * ( vad(j+1,i) - vad(j,i) ) * ddy & |
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| 147 | ) |
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| 148 | ENDDO |
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| 149 | ENDDO |
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| 150 | |
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| 151 | ! |
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| 152 | !-- Forward substitution |
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| 153 | DO i = nxl_y, nxr_y |
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| 154 | wrk_spline(0,i) = r(0,i) |
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| 155 | DO j = 1, ny |
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| 156 | wrk_spline(j,i) = r(j,i) - spl_tri_y(5,j) * wrk_spline(j-1,i) |
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| 157 | ENDDO |
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| 158 | ENDDO |
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| 159 | |
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| 160 | ! |
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| 161 | !-- Backward substitution (sherman-Morrison-formula) |
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| 162 | DO i = nxl_y, nxr_y |
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| 163 | r(ny,i) = wrk_spline(ny,i) / spl_tri_y(4,ny) |
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| 164 | DO j = ny-1, 0, -1 |
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| 165 | r(j,i) = ( wrk_spline(j,i) - spl_tri_y(3,j) * r(j+1,i) ) / & |
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| 166 | spl_tri_y(4,j) |
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| 167 | ENDDO |
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| 168 | sm_faktor = ( r(0,i) + 0.5 * r(ny,i) / spl_gamma_y ) / & |
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| 169 | ( 1.0 + spl_z_y(0) + 0.5 * spl_z_y(ny) / spl_gamma_y ) |
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| 170 | DO j = 0, ny |
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| 171 | r(j,i) = r(j,i) - sm_faktor * spl_z_y(j) |
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| 172 | ENDDO |
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| 173 | ENDDO |
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| 174 | |
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| 175 | ! |
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| 176 | !-- Add cyclic boundary conditions to right hand side |
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| 177 | r(-1,:) = r(ny,:) |
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| 178 | r(ny+1,:) = r(0,:) |
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| 179 | |
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| 180 | ! |
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| 181 | !-- Calculate advection along y |
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| 182 | DO i = nxl_y, nxr_y |
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| 183 | DO j = 0, ny |
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| 184 | |
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| 185 | IF ( ad_v(j,i,k) == 0.0 ) THEN |
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| 186 | |
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| 187 | vad_in_out(j,i,k) = vad(j,i) |
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| 188 | |
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| 189 | ELSEIF ( ad_v(j,i,k) > 0.0 ) THEN |
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| 190 | |
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| 191 | IF ( ABS( vad(j,i) - vad(j-1,i) ) <= ups_limit ) THEN |
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| 192 | vad_in_out(j,i,k) = vad(j,i) - dt_3d * ad_v(j,i,k) * & |
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| 193 | ( vad(j,i) - vad(j-1,i) ) * ddy |
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| 194 | ! |
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| 195 | !-- Calculate upstream fraction in % (s. flow_statistics) |
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| 196 | DO sr = 0, statistic_regions |
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| 197 | sums_up_fraction_l(component,2,sr) = & |
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| 198 | sums_up_fraction_l(component,2,sr) + 1.0 |
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| 199 | ENDDO |
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| 200 | ELSE |
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| 201 | t1 = ad_v(j,i,k) * dt_3d * ddy |
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| 202 | t2 = 3.0 * ( vad(j-1,i) - vad(j,i) ) + & |
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| 203 | ( 2.0 * r(j,i) + r(j-1,i) ) * dy |
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| 204 | t3 = 2.0 * ( vad(j-1,i) - vad(j,i) ) + & |
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| 205 | ( r(j,i) + r(j-1,i) ) * dy |
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| 206 | vad_in_out(j,i,k) = vad(j,i) - r(j,i) * t1 * dy + & |
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| 207 | t2 * t1**2 - t3 * t1**3 |
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| 208 | IF ( vad(j-1,i) == vad(j,i) ) THEN |
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| 209 | vad_in_out(j,i,k) = vad(j,i) |
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| 210 | ENDIF |
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| 211 | ENDIF |
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| 212 | |
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| 213 | ELSE |
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| 214 | |
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| 215 | IF ( ABS( vad(j,i) - vad(j+1,i) ) <= ups_limit ) THEN |
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| 216 | vad_in_out(j,i,k) = vad(j,i) - dt_3d * ad_v(j,i,k) * & |
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| 217 | ( vad(j+1,i) - vad(j,i) ) * ddy |
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| 218 | ! |
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| 219 | !-- Calculate upstream fraction in % (s. flow_statistics) |
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| 220 | DO sr = 0, statistic_regions |
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| 221 | sums_up_fraction_l(component,2,sr) = & |
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| 222 | sums_up_fraction_l(component,2,sr) + 1.0 |
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| 223 | ENDDO |
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| 224 | ELSE |
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| 225 | t1 = -ad_v(j,i,k) * dt_3d * ddy |
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| 226 | t2 = 3.0 * ( vad(j,i) - vad(j+1,i) ) + & |
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| 227 | ( 2.0 * r(j,i) + r(j+1,i) ) * dy |
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| 228 | t3 = 2.0 * ( vad(j,i) - vad(j+1,i) ) + & |
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| 229 | ( r(j,i) + r(j+1,i) ) * dy |
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| 230 | vad_in_out(j,i,k) = vad(j,i) + r(j,i) * t1 * dy - & |
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| 231 | t2 * t1**2 + t3 * t1**3 |
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| 232 | IF ( vad(j+1,i) == vad(j,i) ) THEN |
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| 233 | vad_in_out(j,i,k) = vad(j,i) |
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| 234 | ENDIF |
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| 235 | ENDIF |
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| 236 | |
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| 237 | ENDIF |
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| 238 | ENDDO |
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| 239 | ENDDO |
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| 240 | |
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| 241 | ! |
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| 242 | !-- Limit values in order to prevent overshooting |
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| 243 | IF ( cut_spline_overshoot ) THEN |
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| 244 | |
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| 245 | DO i = nxl_y, nxr_y |
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| 246 | DO j = 0, ny |
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| 247 | IF ( ad_v(j,i,k) > 0.0 ) THEN |
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| 248 | IF ( vad(j,i) > vad(j-1,i) ) THEN |
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| 249 | vad_in_out(j,i,k) = MIN( vad_in_out(j,i,k), & |
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| 250 | vad(j,i) + overshoot_limit ) |
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| 251 | vad_in_out(j,i,k) = MAX( vad_in_out(j,i,k), & |
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| 252 | vad(j-1,i) - overshoot_limit ) |
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| 253 | ELSE |
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| 254 | vad_in_out(j,i,k) = MAX( vad_in_out(j,i,k), & |
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| 255 | vad(j,i) - overshoot_limit ) |
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| 256 | vad_in_out(j,i,k) = MIN( vad_in_out(j,i,k), & |
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| 257 | vad(j-1,i) + overshoot_limit ) |
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| 258 | ENDIF |
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| 259 | ELSE |
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| 260 | IF ( vad(j,i) > vad(j+1,i) ) THEN |
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| 261 | vad_in_out(j,i,k) = MIN( vad_in_out(j,i,k), & |
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| 262 | vad(j,i) + overshoot_limit ) |
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| 263 | vad_in_out(j,i,k) = MAX( vad_in_out(j,i,k), & |
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| 264 | vad(j+1,i) - overshoot_limit ) |
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| 265 | ELSE |
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| 266 | vad_in_out(j,i,k) = MAX( vad_in_out(j,i,k), & |
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| 267 | vad(j,i) - overshoot_limit ) |
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| 268 | vad_in_out(j,i,k) = MIN( vad_in_out(j,i,k), & |
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| 269 | vad(j+1,i) + overshoot_limit ) |
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| 270 | ENDIF |
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| 271 | ENDIF |
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| 272 | ENDDO |
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| 273 | ENDDO |
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| 274 | |
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| 275 | ENDIF |
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| 276 | |
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| 277 | ! |
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| 278 | !-- Long-filter (acting on tendency only) |
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| 279 | IF ( long_filter_factor /= 0.0 ) THEN |
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| 280 | |
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| 281 | ! |
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| 282 | !-- Compute tendency. Filter only acts on this quantity. |
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| 283 | DO i = nxl_y, nxr_y |
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| 284 | DO j = 0, ny |
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| 285 | tf(j,i) = vad_in_out(j,i,k) - vad(j,i) |
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| 286 | ENDDO |
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| 287 | ENDDO |
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| 288 | |
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| 289 | ! |
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| 290 | !-- Apply the filter. |
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| 291 | DO i = nxl_y, nxr_y |
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| 292 | wrk_long(0,i,1) = 2.0 * ( 1.0 + long_filter_factor ) |
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| 293 | wrk_long(0,i,2) = ( 1.0 - long_filter_factor ) / wrk_long(0,i,1) |
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| 294 | wrk_long(0,i,3) = ( long_filter_factor * tf(ny,i) + & |
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| 295 | 2.0 * tf(0,i) + tf(1,i) & |
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| 296 | ) / wrk_long(0,i,1) |
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| 297 | DO j = 1, ny-1 |
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| 298 | wrk_long(j,i,1) = 2.0 * ( 1.0 + long_filter_factor ) - & |
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| 299 | ( 1.0 - long_filter_factor ) * wrk_long(j-1,i,2) |
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| 300 | wrk_long(j,i,2) = ( 1.0 - long_filter_factor ) / wrk_long(j,i,1) |
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| 301 | wrk_long(j,i,3) = ( tf(j-1,i) + 2.0 * tf(j,i) + & |
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| 302 | tf(j+1,i) - ( 1.0 - long_filter_factor ) * & |
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| 303 | wrk_long(j-1,i,3) ) / wrk_long(j,i,1) |
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| 304 | ENDDO |
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| 305 | wrk_long(ny,i,1) = 2.0 * ( 1.0 + long_filter_factor ) - & |
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| 306 | ( 1.0 - long_filter_factor ) * wrk_long(ny-1,i,2) |
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| 307 | wrk_long(ny,i,2) = ( 1.0 - long_filter_factor ) / wrk_long(ny,i,1) |
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| 308 | wrk_long(ny,i,3) = ( tf(ny-1,i) + 2.0 * tf(ny,i) + & |
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| 309 | long_filter_factor * tf(0,i) - & |
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| 310 | ( 1.0 - long_filter_factor ) * & |
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| 311 | wrk_long(ny-1,i,3) & |
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| 312 | ) / wrk_long(ny,i,1) |
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| 313 | r(ny,i) = wrk_long(ny,i,3) |
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| 314 | ENDDO |
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| 315 | |
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| 316 | DO j = ny-1, 0, -1 |
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| 317 | DO i = nxl_y, nxr_y |
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| 318 | r(j,i) = wrk_long(j,i,3) - wrk_long(j,i,2) * r(j+1,i) |
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| 319 | ENDDO |
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| 320 | ENDDO |
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| 321 | |
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| 322 | DO i = nxl_y, nxr_y |
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| 323 | DO j = 0, ny |
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| 324 | vad_in_out(j,i,k) = vad(j,i) + r(j,i) |
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| 325 | ENDDO |
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| 326 | ENDDO |
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| 327 | |
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| 328 | ENDIF ! Long filter |
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| 329 | |
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| 330 | ENDDO |
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| 331 | |
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| 332 | #else |
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| 333 | |
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| 334 | ! |
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| 335 | !-- Allocate working arrays |
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| 336 | ALLOCATE( r(nzb+1:nzt,nys-1:nyn+1), vad(nzb:nzt+1,nys-1:nyn+1), & |
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| 337 | wrk_spline(nzb+1:nzt,nys-1:nyn+1) ) |
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| 338 | IF ( long_filter_factor /= 0.0 ) THEN |
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| 339 | ALLOCATE( tf(nzb+1:nzt,nys-1:nyn+1), wrk_long(nzb+1:nzt,0:ny,1:3) ) |
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| 340 | ENDIF |
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| 341 | |
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| 342 | ! |
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| 343 | !-- Loop over all gridpoints along x |
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| 344 | DO i = nxl, nxr |
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| 345 | |
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| 346 | ! |
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| 347 | !-- Store array to be advected on work array and add cyclic boundary along x |
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| 348 | vad(:,:) = vad_in_out(:,:,i) |
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| 349 | vad(:,-1) = vad(:,ny) |
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| 350 | vad(:,ny+1) = vad(:,0) |
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| 351 | |
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| 352 | ! |
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| 353 | !-- Calculate right hand side |
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| 354 | DO j = 0, ny |
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| 355 | DO k = nzb+1, nzt |
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| 356 | r(k,j) = 3.0 * ( & |
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| 357 | spl_tri_y(2,j) * ( vad(k,j) - vad(k,j-1) ) * ddy + & |
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| 358 | spl_tri_y(3,j) * ( vad(k,j+1) - vad(k,j) ) * ddy & |
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| 359 | ) |
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| 360 | ENDDO |
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| 361 | ENDDO |
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| 362 | |
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| 363 | ! |
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| 364 | !-- Forward substitution |
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| 365 | DO k = nzb+1, nzt |
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| 366 | wrk_spline(k,0) = r(k,0) |
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| 367 | ENDDO |
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| 368 | |
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| 369 | DO j = 1, ny |
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| 370 | DO k = nzb+1, nzt |
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| 371 | wrk_spline(k,j) = r(k,j) - spl_tri_y(5,j) * wrk_spline(k,j-1) |
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| 372 | ENDDO |
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| 373 | ENDDO |
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| 374 | |
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| 375 | ! |
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| 376 | !-- Backward substitution (Sherman-Morrison-formula) |
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| 377 | DO k = nzb+1, nzt |
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| 378 | r(k,ny) = wrk_spline(k,ny) / spl_tri_y(4,ny) |
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| 379 | ENDDO |
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| 380 | |
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| 381 | DO k = nzb+1, nzt |
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| 382 | DO j = ny-1, 0, -1 |
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| 383 | r(k,j) = ( wrk_spline(k,j) - spl_tri_y(3,j) * r(k,j+1) ) / & |
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| 384 | spl_tri_y(4,j) |
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| 385 | ENDDO |
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| 386 | sm_faktor = ( r(k,0) + 0.5 * r(k,ny) / spl_gamma_y ) / & |
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| 387 | ( 1.0 + spl_z_y(0) + 0.5 * spl_z_y(ny) / spl_gamma_y ) |
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| 388 | DO j = 0, ny |
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| 389 | r(k,j) = r(k,j) - sm_faktor * spl_z_y(j) |
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| 390 | ENDDO |
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| 391 | ENDDO |
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| 392 | |
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| 393 | ! |
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| 394 | !-- Add cyclic boundary to the right hand side |
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| 395 | r(:,-1) = r(:,ny) |
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| 396 | r(:,ny+1) = r(:,0) |
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| 397 | |
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| 398 | ! |
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| 399 | !-- Calculate advection along y |
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| 400 | DO j = 0, ny |
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| 401 | DO k = nzb+1, nzt |
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| 402 | |
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| 403 | IF ( ad_v(k,j,i) == 0.0 ) THEN |
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| 404 | |
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| 405 | vad_in_out(k,j,i) = vad(k,j) |
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| 406 | |
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| 407 | ELSEIF ( ad_v(k,j,i) > 0.0 ) THEN |
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| 408 | |
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| 409 | IF ( ABS( vad(k,j) - vad(k,j-1) ) <= ups_limit ) THEN |
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| 410 | vad_in_out(k,j,i) = vad(k,j) - dt_3d * ad_v(k,j,i) * & |
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| 411 | ( vad(k,j) - vad(k,j-1) ) * ddy |
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| 412 | ! |
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| 413 | !-- Calculate upstream fraction in % (s. flow_statistics) |
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| 414 | DO sr = 0, statistic_regions |
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| 415 | sums_up_fraction_l(component,2,sr) = & |
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| 416 | sums_up_fraction_l(component,2,sr) + 1.0 |
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| 417 | ENDDO |
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| 418 | ELSE |
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| 419 | t1 = ad_v(k,j,i) * dt_3d * ddy |
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| 420 | t2 = 3.0 * ( vad(k,j-1) - vad(k,j) ) + & |
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| 421 | ( 2.0 * r(k,j) + r(k,j-1) ) * dy |
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| 422 | t3 = 2.0 * ( vad(k,j-1) - vad(k,j) ) + & |
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| 423 | ( r(k,j) + r(k,j-1) ) * dy |
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| 424 | vad_in_out(k,j,i) = vad(k,j) - r(k,j) * t1 * dy + & |
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| 425 | t2 * t1**2 - t3 * t1**3 |
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| 426 | IF ( vad(k,j-1) == vad(k,j) ) THEN |
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| 427 | vad_in_out(k,j,i) = vad(k,j) |
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| 428 | ENDIF |
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| 429 | ENDIF |
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| 430 | |
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| 431 | ELSE |
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| 432 | |
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| 433 | IF ( ABS( vad(k,j) - vad(k,j+1) ) <= ups_limit ) THEN |
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| 434 | vad_in_out(k,j,i) = vad(k,j) - dt_3d * ad_v(k,j,i) * & |
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| 435 | ( vad(k,j+1) - vad(k,j) ) * ddy |
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| 436 | ! |
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| 437 | !-- Calculate upstream fraction in % (s. flow_statistics) |
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| 438 | DO sr = 0, statistic_regions |
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| 439 | sums_up_fraction_l(component,2,sr) = & |
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| 440 | sums_up_fraction_l(component,2,sr) + 1.0 |
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| 441 | ENDDO |
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| 442 | ELSE |
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| 443 | t1 = -ad_v(k,j,i) * dt_3d * ddy |
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| 444 | t2 = 3.0 * ( vad(k,j) - vad(k,j+1) ) + & |
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| 445 | ( 2.0 * r(k,j) + r(k,j+1) ) * dy |
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| 446 | t3 = 2.0 * ( vad(k,j) - vad(k,j+1) ) + & |
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| 447 | ( r(k,j) + r(k,j+1) ) * dy |
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| 448 | vad_in_out(k,j,i) = vad(k,j) + r(k,j) * t1 * dy - & |
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| 449 | t2 * t1**2 + t3 * t1**3 |
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| 450 | IF ( vad(k,j+1) == vad(k,j) ) THEN |
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| 451 | vad_in_out(k,j,i) = vad(k,j) |
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| 452 | ENDIF |
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| 453 | ENDIF |
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| 454 | |
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| 455 | ENDIF |
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| 456 | ENDDO |
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| 457 | ENDDO |
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| 458 | |
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| 459 | ! |
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| 460 | !-- Limit values in order to prevent overshooting |
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| 461 | IF ( cut_spline_overshoot ) THEN |
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| 462 | |
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| 463 | DO j = 0, ny |
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| 464 | DO k = nzb+1, nzt |
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| 465 | IF ( ad_v(k,j,i) > 0.0 ) THEN |
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| 466 | IF ( vad(k,j) > vad(k,j-1) ) THEN |
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| 467 | vad_in_out(k,j,i) = MIN( vad_in_out(k,j,i), & |
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| 468 | vad(k,j) + overshoot_limit ) |
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| 469 | vad_in_out(k,j,i) = MAX( vad_in_out(k,j,i), & |
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| 470 | vad(k,j-1) - overshoot_limit ) |
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| 471 | ELSE |
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| 472 | vad_in_out(k,j,i) = MAX( vad_in_out(k,j,i), & |
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| 473 | vad(k,j) - overshoot_limit ) |
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| 474 | vad_in_out(k,j,i) = MIN( vad_in_out(k,j,i), & |
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| 475 | vad(k,j-1) + overshoot_limit ) |
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| 476 | ENDIF |
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| 477 | ELSE |
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| 478 | IF ( vad(k,j) > vad(k,j+1) ) THEN |
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| 479 | vad_in_out(k,j,i) = MIN( vad_in_out(k,j,i), & |
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| 480 | vad(k,j) + overshoot_limit ) |
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| 481 | vad_in_out(k,j,i) = MAX( vad_in_out(k,j,i), & |
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| 482 | vad(k,j+1) - overshoot_limit ) |
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| 483 | ELSE |
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| 484 | vad_in_out(k,j,i) = MAX( vad_in_out(k,j,i), & |
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| 485 | vad(k,j) - overshoot_limit ) |
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| 486 | vad_in_out(k,j,i) = MIN( vad_in_out(k,j,i), & |
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| 487 | vad(k,j+1) + overshoot_limit ) |
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| 488 | ENDIF |
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| 489 | ENDIF |
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| 490 | ENDDO |
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| 491 | ENDDO |
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| 492 | |
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| 493 | ENDIF |
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| 494 | |
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| 495 | ! |
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| 496 | !-- Long filter (acting on tendency only) |
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| 497 | IF ( long_filter_factor /= 0.0 ) THEN |
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| 498 | |
|---|
| 499 | ! |
|---|
| 500 | !-- Compute tendency |
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| 501 | DO j = nys, nyn |
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| 502 | DO k = nzb+1, nzt |
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| 503 | tf(k,j) = vad_in_out(k,j,i) - vad(k,j) |
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| 504 | ENDDO |
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| 505 | ENDDO |
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| 506 | |
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| 507 | ! |
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| 508 | !-- Apply the filter |
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| 509 | wrk_long(:,0,1) = 2.0 * ( 1.0 + long_filter_factor ) |
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| 510 | wrk_long(:,0,2) = ( 1.0 - long_filter_factor ) / wrk_long(:,0,1) |
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| 511 | wrk_long(:,0,3) = ( long_filter_factor * tf(:,ny) + & |
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| 512 | 2.0 * tf(:,0) + tf(:,1) ) / wrk_long(:,0,1) |
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| 513 | |
|---|
| 514 | DO j = 1, ny-1 |
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| 515 | DO k = nzb+1, nzt |
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| 516 | wrk_long(k,j,1) = 2.0 * ( 1.0 + long_filter_factor ) - & |
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| 517 | ( 1.0 - long_filter_factor ) * & |
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| 518 | wrk_long(k,j-1,2) |
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| 519 | wrk_long(k,j,2) = ( 1.0 - long_filter_factor ) / wrk_long(k,j,1) |
|---|
| 520 | wrk_long(k,j,3) = ( tf(k,j-1) + 2.0 * tf(k,j) + & |
|---|
| 521 | tf(k,j+1) - ( 1.0 - long_filter_factor ) * & |
|---|
| 522 | wrk_long(k,j-1,3) ) / wrk_long(k,j,1) |
|---|
| 523 | ENDDO |
|---|
| 524 | wrk_long(:,ny,1) = 2.0 * ( 1.0 + long_filter_factor ) - & |
|---|
| 525 | ( 1.0 - long_filter_factor ) * & |
|---|
| 526 | wrk_long(:,ny-1,2) |
|---|
| 527 | wrk_long(:,ny,2) = ( 1.0 - long_filter_factor ) / wrk_long(:,ny,1) |
|---|
| 528 | wrk_long(:,ny,3) = ( tf(:,ny-1) + 2.0 * tf(:,ny) + & |
|---|
| 529 | long_filter_factor * tf(:,0) - & |
|---|
| 530 | ( 1.0 - long_filter_factor ) * & |
|---|
| 531 | wrk_long(:,ny-1,3) ) / wrk_long(:,ny,1) |
|---|
| 532 | r(:,ny) = wrk_long(:,ny,3) |
|---|
| 533 | ENDDO |
|---|
| 534 | DO j = ny-1, 0, -1 |
|---|
| 535 | DO k = nzb+1, nzt |
|---|
| 536 | r(k,j) = wrk_long(k,j,3) - wrk_long(k,j,2) * r(k,j+1) |
|---|
| 537 | ENDDO |
|---|
| 538 | ENDDO |
|---|
| 539 | DO j = 0, ny |
|---|
| 540 | DO k = nzb+1, nzt |
|---|
| 541 | vad_in_out(k,j,i) = vad(k,j) + r(k,j) |
|---|
| 542 | ENDDO |
|---|
| 543 | ENDDO |
|---|
| 544 | |
|---|
| 545 | ENDIF ! Long filter |
|---|
| 546 | |
|---|
| 547 | ENDDO |
|---|
| 548 | #endif |
|---|
| 549 | |
|---|
| 550 | IF ( long_filter_factor /= 0.0 ) DEALLOCATE( tf, wrk_long ) |
|---|
| 551 | DEALLOCATE( r, vad, wrk_spline ) |
|---|
| 552 | |
|---|
| 553 | END SUBROUTINE spline_y |
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