| 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 | ! Current 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: spline_y.f90 484 2010-02-05 07:36:54Z suehring $ |
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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 1.9 2004/04/30 12:54:37 raasch |
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| 14 | ! Names of transpose indices changed, enlarged transposition arrays introduced |
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| 15 | ! |
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| 16 | ! Revision 1.1 1999/02/05 09:16:31 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 | ! Upstream-spline advection along x |
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| 23 | ! |
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| 24 | ! Input/output parameters: |
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| 25 | ! ad_v = advecting wind speed component |
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| 26 | ! vad_in_out = quantity to be advected, excluding ghost- or cyclic boundaries |
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| 27 | ! result is given to the calling routine in this array |
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| 28 | ! var_char = string which defines the quantity to be advected |
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| 29 | ! |
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| 30 | ! Internal arrays: |
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| 31 | ! r = 2D-working array (right hand side of linear equation, buffer for |
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| 32 | ! Long filter) |
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| 33 | ! tf = tendency field (2D), used for long filter |
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| 34 | ! vad = quantity to be advected (2D), including ghost- or cyclic |
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| 35 | ! boundarys along the direction of advection |
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| 36 | ! wrk_long = working array (long coefficients) |
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| 37 | ! wrk_spline = working array (spline coefficients) |
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| 38 | !------------------------------------------------------------------------------! |
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| 39 | |
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| 40 | USE advection |
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| 41 | USE grid_variables |
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| 42 | USE indices |
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| 43 | USE statistics |
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| 44 | USE control_parameters |
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| 45 | USE transpose_indices |
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| 46 | |
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| 47 | IMPLICIT NONE |
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| 48 | |
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| 49 | CHARACTER (LEN=*) :: var_char |
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| 50 | |
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| 51 | INTEGER :: component, i, j, k, sr |
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| 52 | REAL :: overshoot_limit, sm_faktor, t1, t2, t3, ups_limit |
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| 53 | REAL, DIMENSION(:,:), ALLOCATABLE :: r, tf, vad, wrk_spline |
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| 54 | REAL, DIMENSION(:,:,:), ALLOCATABLE :: wrk_long |
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| 55 | |
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| 56 | #if defined( __parallel ) |
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| 57 | REAL :: ad_v(0:nya,nxl_y:nxr_ya,nzb_y:nzt_ya), & |
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| 58 | vad_in_out(0:nya,nxl_y:nxr_ya,nzb_y:nzt_ya) |
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| 59 | #else |
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| 60 | REAL :: ad_v(nzb+1:nzt,nys:nyn,nxl:nxr), & |
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| 61 | vad_in_out(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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| 62 | #endif |
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| 63 | |
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| 64 | ! |
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| 65 | !-- Set criteria for switching between upstream- and upstream-spline-method |
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| 66 | IF ( var_char == 'u' ) THEN |
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| 67 | overshoot_limit = overshoot_limit_u |
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| 68 | ups_limit = ups_limit_u |
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| 69 | component = 1 |
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| 70 | ELSEIF ( var_char == 'v' ) THEN |
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| 71 | overshoot_limit = overshoot_limit_v |
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| 72 | ups_limit = ups_limit_v |
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| 73 | component = 2 |
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| 74 | ELSEIF ( var_char == 'w' ) THEN |
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| 75 | overshoot_limit = overshoot_limit_w |
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| 76 | ups_limit = ups_limit_w |
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| 77 | component = 3 |
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| 78 | ELSEIF ( var_char == 'pt' ) THEN |
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| 79 | overshoot_limit = overshoot_limit_pt |
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| 80 | ups_limit = ups_limit_pt |
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| 81 | component = 4 |
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| 82 | ELSEIF ( var_char == 'e' ) THEN |
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| 83 | overshoot_limit = overshoot_limit_e |
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| 84 | ups_limit = ups_limit_e |
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| 85 | component = 5 |
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| 86 | ENDIF |
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| 87 | |
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| 88 | ! |
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| 89 | !-- Initialize calculation of relative upstream fraction |
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| 90 | sums_up_fraction_l(component,2,:) = 0.0 |
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| 91 | |
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| 92 | #if defined( __parallel ) |
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| 93 | |
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| 94 | ! |
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| 95 | !-- Allocate working arrays |
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| 96 | ALLOCATE( r(-1:ny+1,nxl_y:nxr_y), & |
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| 97 | vad(-1:ny+1,nxl_y:nxr_y), & |
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| 98 | wrk_spline(0:ny,nxl_y:nxr_y) ) |
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| 99 | IF ( long_filter_factor /= 0.0 ) THEN |
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| 100 | ALLOCATE( tf(0:ny,nxl_y:nxr_y), & |
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| 101 | wrk_long(0:ny,nxl_y:nxr_y,1:3) ) |
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| 102 | ENDIF |
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| 103 | |
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| 104 | ! |
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| 105 | !-- Loop over all gridpoints along z |
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| 106 | DO k = nzb_y, nzt_y |
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| 107 | |
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| 108 | ! |
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| 109 | !-- Store array to be advected on work array and add cyclic boundary along y |
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| 110 | vad(0:ny,nxl_y:nxr_y) = vad_in_out(0:ny,nxl_y:nxr_y,k) |
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| 111 | vad(-1,:) = vad(ny,:) |
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| 112 | vad(ny+1,:) = vad(0,:) |
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| 113 | |
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| 114 | ! |
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| 115 | !-- Calculate right hand side |
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| 116 | DO i = nxl_y, nxr_y |
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| 117 | DO j = 0, ny |
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| 118 | r(j,i) = 3.0 * ( & |
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| 119 | spl_tri_y(2,j) * ( vad(j,i) - vad(j-1,i) ) * ddy + & |
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| 120 | spl_tri_y(3,j) * ( vad(j+1,i) - vad(j,i) ) * ddy & |
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| 121 | ) |
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| 122 | ENDDO |
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| 123 | ENDDO |
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| 124 | |
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| 125 | ! |
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| 126 | !-- Forward substitution |
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| 127 | DO i = nxl_y, nxr_y |
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| 128 | wrk_spline(0,i) = r(0,i) |
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| 129 | DO j = 1, ny |
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| 130 | wrk_spline(j,i) = r(j,i) - spl_tri_y(5,j) * wrk_spline(j-1,i) |
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| 131 | ENDDO |
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| 132 | ENDDO |
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| 133 | |
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| 134 | ! |
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| 135 | !-- Backward substitution (sherman-Morrison-formula) |
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| 136 | DO i = nxl_y, nxr_y |
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| 137 | r(ny,i) = wrk_spline(ny,i) / spl_tri_y(4,ny) |
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| 138 | DO j = ny-1, 0, -1 |
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| 139 | r(j,i) = ( wrk_spline(j,i) - spl_tri_y(3,j) * r(j+1,i) ) / & |
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| 140 | spl_tri_y(4,j) |
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| 141 | ENDDO |
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| 142 | sm_faktor = ( r(0,i) + 0.5 * r(ny,i) / spl_gamma_y ) / & |
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| 143 | ( 1.0 + spl_z_y(0) + 0.5 * spl_z_y(ny) / spl_gamma_y ) |
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| 144 | DO j = 0, ny |
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| 145 | r(j,i) = r(j,i) - sm_faktor * spl_z_y(j) |
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| 146 | ENDDO |
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| 147 | ENDDO |
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| 148 | |
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| 149 | ! |
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| 150 | !-- Add cyclic boundary conditions to right hand side |
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| 151 | r(-1,:) = r(ny,:) |
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| 152 | r(ny+1,:) = r(0,:) |
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| 153 | |
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| 154 | ! |
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| 155 | !-- Calculate advection along y |
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| 156 | DO i = nxl_y, nxr_y |
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| 157 | DO j = 0, ny |
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| 158 | |
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| 159 | IF ( ad_v(j,i,k) == 0.0 ) THEN |
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| 160 | |
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| 161 | vad_in_out(j,i,k) = vad(j,i) |
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| 162 | |
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| 163 | ELSEIF ( ad_v(j,i,k) > 0.0 ) THEN |
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| 164 | |
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| 165 | IF ( ABS( vad(j,i) - vad(j-1,i) ) <= ups_limit ) THEN |
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| 166 | vad_in_out(j,i,k) = vad(j,i) - dt_3d * ad_v(j,i,k) * & |
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| 167 | ( vad(j,i) - vad(j-1,i) ) * ddy |
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| 168 | ! |
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| 169 | !-- Calculate upstream fraction in % (s. flow_statistics) |
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| 170 | DO sr = 0, statistic_regions |
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| 171 | sums_up_fraction_l(component,2,sr) = & |
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| 172 | sums_up_fraction_l(component,2,sr) + 1.0 |
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| 173 | ENDDO |
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| 174 | ELSE |
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| 175 | t1 = ad_v(j,i,k) * dt_3d * ddy |
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| 176 | t2 = 3.0 * ( vad(j-1,i) - vad(j,i) ) + & |
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| 177 | ( 2.0 * r(j,i) + r(j-1,i) ) * dy |
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| 178 | t3 = 2.0 * ( vad(j-1,i) - vad(j,i) ) + & |
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| 179 | ( r(j,i) + r(j-1,i) ) * dy |
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| 180 | vad_in_out(j,i,k) = vad(j,i) - r(j,i) * t1 * dy + & |
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| 181 | t2 * t1**2 - t3 * t1**3 |
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| 182 | IF ( vad(j-1,i) == vad(j,i) ) THEN |
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| 183 | vad_in_out(j,i,k) = vad(j,i) |
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| 184 | ENDIF |
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| 185 | ENDIF |
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| 186 | |
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| 187 | ELSE |
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| 188 | |
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| 189 | IF ( ABS( vad(j,i) - vad(j+1,i) ) <= ups_limit ) THEN |
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| 190 | vad_in_out(j,i,k) = vad(j,i) - dt_3d * ad_v(j,i,k) * & |
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| 191 | ( vad(j+1,i) - vad(j,i) ) * ddy |
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| 192 | ! |
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| 193 | !-- Calculate upstream fraction in % (s. flow_statistics) |
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| 194 | DO sr = 0, statistic_regions |
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| 195 | sums_up_fraction_l(component,2,sr) = & |
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| 196 | sums_up_fraction_l(component,2,sr) + 1.0 |
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| 197 | ENDDO |
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| 198 | ELSE |
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| 199 | t1 = -ad_v(j,i,k) * dt_3d * ddy |
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| 200 | t2 = 3.0 * ( vad(j,i) - vad(j+1,i) ) + & |
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| 201 | ( 2.0 * r(j,i) + r(j+1,i) ) * dy |
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| 202 | t3 = 2.0 * ( vad(j,i) - vad(j+1,i) ) + & |
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| 203 | ( r(j,i) + r(j+1,i) ) * dy |
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| 204 | vad_in_out(j,i,k) = vad(j,i) + r(j,i) * t1 * dy - & |
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| 205 | t2 * t1**2 + t3 * t1**3 |
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| 206 | IF ( vad(j+1,i) == vad(j,i) ) THEN |
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| 207 | vad_in_out(j,i,k) = vad(j,i) |
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| 208 | ENDIF |
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| 209 | ENDIF |
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| 210 | |
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| 211 | ENDIF |
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| 212 | ENDDO |
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| 213 | ENDDO |
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| 214 | |
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| 215 | ! |
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| 216 | !-- Limit values in order to prevent overshooting |
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| 217 | IF ( cut_spline_overshoot ) THEN |
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| 218 | |
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| 219 | DO i = nxl_y, nxr_y |
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| 220 | DO j = 0, ny |
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| 221 | IF ( ad_v(j,i,k) > 0.0 ) THEN |
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| 222 | IF ( vad(j,i) > vad(j-1,i) ) THEN |
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| 223 | vad_in_out(j,i,k) = MIN( vad_in_out(j,i,k), & |
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| 224 | vad(j,i) + overshoot_limit ) |
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| 225 | vad_in_out(j,i,k) = MAX( vad_in_out(j,i,k), & |
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| 226 | vad(j-1,i) - overshoot_limit ) |
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| 227 | ELSE |
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| 228 | vad_in_out(j,i,k) = MAX( vad_in_out(j,i,k), & |
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| 229 | vad(j,i) - overshoot_limit ) |
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| 230 | vad_in_out(j,i,k) = MIN( vad_in_out(j,i,k), & |
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| 231 | vad(j-1,i) + overshoot_limit ) |
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| 232 | ENDIF |
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| 233 | ELSE |
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| 234 | IF ( vad(j,i) > vad(j+1,i) ) THEN |
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| 235 | vad_in_out(j,i,k) = MIN( vad_in_out(j,i,k), & |
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| 236 | vad(j,i) + overshoot_limit ) |
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| 237 | vad_in_out(j,i,k) = MAX( vad_in_out(j,i,k), & |
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| 238 | vad(j+1,i) - overshoot_limit ) |
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| 239 | ELSE |
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| 240 | vad_in_out(j,i,k) = MAX( vad_in_out(j,i,k), & |
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| 241 | vad(j,i) - overshoot_limit ) |
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| 242 | vad_in_out(j,i,k) = MIN( vad_in_out(j,i,k), & |
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| 243 | vad(j+1,i) + overshoot_limit ) |
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| 244 | ENDIF |
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| 245 | ENDIF |
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| 246 | ENDDO |
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| 247 | ENDDO |
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| 248 | |
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| 249 | ENDIF |
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| 250 | |
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| 251 | ! |
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| 252 | !-- Long-filter (acting on tendency only) |
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| 253 | IF ( long_filter_factor /= 0.0 ) THEN |
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| 254 | |
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| 255 | ! |
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| 256 | !-- Compute tendency. Filter only acts on this quantity. |
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| 257 | DO i = nxl_y, nxr_y |
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| 258 | DO j = 0, ny |
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| 259 | tf(j,i) = vad_in_out(j,i,k) - vad(j,i) |
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| 260 | ENDDO |
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| 261 | ENDDO |
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| 262 | |
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| 263 | ! |
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| 264 | !-- Apply the filter. |
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| 265 | DO i = nxl_y, nxr_y |
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| 266 | wrk_long(0,i,1) = 2.0 * ( 1.0 + long_filter_factor ) |
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| 267 | wrk_long(0,i,2) = ( 1.0 - long_filter_factor ) / wrk_long(0,i,1) |
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| 268 | wrk_long(0,i,3) = ( long_filter_factor * tf(ny,i) + & |
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| 269 | 2.0 * tf(0,i) + tf(1,i) & |
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| 270 | ) / wrk_long(0,i,1) |
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| 271 | DO j = 1, ny-1 |
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| 272 | wrk_long(j,i,1) = 2.0 * ( 1.0 + long_filter_factor ) - & |
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| 273 | ( 1.0 - long_filter_factor ) * wrk_long(j-1,i,2) |
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| 274 | wrk_long(j,i,2) = ( 1.0 - long_filter_factor ) / wrk_long(j,i,1) |
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| 275 | wrk_long(j,i,3) = ( tf(j-1,i) + 2.0 * tf(j,i) + & |
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| 276 | tf(j+1,i) - ( 1.0 - long_filter_factor ) * & |
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| 277 | wrk_long(j-1,i,3) ) / wrk_long(j,i,1) |
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| 278 | ENDDO |
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| 279 | wrk_long(ny,i,1) = 2.0 * ( 1.0 + long_filter_factor ) - & |
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| 280 | ( 1.0 - long_filter_factor ) * wrk_long(ny-1,i,2) |
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| 281 | wrk_long(ny,i,2) = ( 1.0 - long_filter_factor ) / wrk_long(ny,i,1) |
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| 282 | wrk_long(ny,i,3) = ( tf(ny-1,i) + 2.0 * tf(ny,i) + & |
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| 283 | long_filter_factor * tf(0,i) - & |
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| 284 | ( 1.0 - long_filter_factor ) * & |
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| 285 | wrk_long(ny-1,i,3) & |
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| 286 | ) / wrk_long(ny,i,1) |
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| 287 | r(ny,i) = wrk_long(ny,i,3) |
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| 288 | ENDDO |
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| 289 | |
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| 290 | DO j = ny-1, 0, -1 |
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| 291 | DO i = nxl_y, nxr_y |
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| 292 | r(j,i) = wrk_long(j,i,3) - wrk_long(j,i,2) * r(j+1,i) |
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| 293 | ENDDO |
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| 294 | ENDDO |
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| 295 | |
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| 296 | DO i = nxl_y, nxr_y |
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| 297 | DO j = 0, ny |
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| 298 | vad_in_out(j,i,k) = vad(j,i) + r(j,i) |
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| 299 | ENDDO |
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| 300 | ENDDO |
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| 301 | |
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| 302 | ENDIF ! Long filter |
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| 303 | |
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| 304 | ENDDO |
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| 305 | |
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| 306 | #else |
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| 307 | |
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| 308 | ! |
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| 309 | !-- Allocate working arrays |
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| 310 | ALLOCATE( r(nzb+1:nzt,nys-1:nyn+1), vad(nzb:nzt+1,nys-1:nyn+1), & |
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| 311 | wrk_spline(nzb+1:nzt,nys-1:nyn+1) ) |
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| 312 | IF ( long_filter_factor /= 0.0 ) THEN |
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| 313 | ALLOCATE( tf(nzb+1:nzt,nys-1:nyn+1), wrk_long(nzb+1:nzt,0:ny,1:3) ) |
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| 314 | ENDIF |
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| 315 | |
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| 316 | ! |
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| 317 | !-- Loop over all gridpoints along x |
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| 318 | DO i = nxl, nxr |
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| 319 | |
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| 320 | ! |
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| 321 | !-- Store array to be advected on work array and add cyclic boundary along x |
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| 322 | vad(:,:) = vad_in_out(:,:,i) |
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| 323 | vad(:,-1) = vad(:,ny) |
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| 324 | vad(:,ny+1) = vad(:,0) |
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| 325 | |
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| 326 | ! |
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| 327 | !-- Calculate right hand side |
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| 328 | DO j = 0, ny |
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| 329 | DO k = nzb+1, nzt |
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| 330 | r(k,j) = 3.0 * ( & |
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| 331 | spl_tri_y(2,j) * ( vad(k,j) - vad(k,j-1) ) * ddy + & |
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| 332 | spl_tri_y(3,j) * ( vad(k,j+1) - vad(k,j) ) * ddy & |
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| 333 | ) |
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| 334 | ENDDO |
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| 335 | ENDDO |
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| 336 | |
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| 337 | ! |
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| 338 | !-- Forward substitution |
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| 339 | DO k = nzb+1, nzt |
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| 340 | wrk_spline(k,0) = r(k,0) |
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| 341 | ENDDO |
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| 342 | |
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| 343 | DO j = 1, ny |
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| 344 | DO k = nzb+1, nzt |
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| 345 | wrk_spline(k,j) = r(k,j) - spl_tri_y(5,j) * wrk_spline(k,j-1) |
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| 346 | ENDDO |
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| 347 | ENDDO |
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| 348 | |
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| 349 | ! |
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| 350 | !-- Backward substitution (Sherman-Morrison-formula) |
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| 351 | DO k = nzb+1, nzt |
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| 352 | r(k,ny) = wrk_spline(k,ny) / spl_tri_y(4,ny) |
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| 353 | ENDDO |
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| 354 | |
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| 355 | DO k = nzb+1, nzt |
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| 356 | DO j = ny-1, 0, -1 |
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| 357 | r(k,j) = ( wrk_spline(k,j) - spl_tri_y(3,j) * r(k,j+1) ) / & |
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| 358 | spl_tri_y(4,j) |
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| 359 | ENDDO |
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| 360 | sm_faktor = ( r(k,0) + 0.5 * r(k,ny) / spl_gamma_y ) / & |
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| 361 | ( 1.0 + spl_z_y(0) + 0.5 * spl_z_y(ny) / spl_gamma_y ) |
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| 362 | DO j = 0, ny |
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| 363 | r(k,j) = r(k,j) - sm_faktor * spl_z_y(j) |
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| 364 | ENDDO |
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| 365 | ENDDO |
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| 366 | |
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| 367 | ! |
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| 368 | !-- Add cyclic boundary to the right hand side |
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| 369 | r(:,-1) = r(:,ny) |
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| 370 | r(:,ny+1) = r(:,0) |
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| 371 | |
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| 372 | ! |
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| 373 | !-- Calculate advection along y |
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| 374 | DO j = 0, ny |
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| 375 | DO k = nzb+1, nzt |
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| 376 | |
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| 377 | IF ( ad_v(k,j,i) == 0.0 ) THEN |
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| 378 | |
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| 379 | vad_in_out(k,j,i) = vad(k,j) |
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| 380 | |
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| 381 | ELSEIF ( ad_v(k,j,i) > 0.0 ) THEN |
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| 382 | |
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| 383 | IF ( ABS( vad(k,j) - vad(k,j-1) ) <= ups_limit ) THEN |
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| 384 | vad_in_out(k,j,i) = vad(k,j) - dt_3d * ad_v(k,j,i) * & |
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| 385 | ( vad(k,j) - vad(k,j-1) ) * ddy |
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| 386 | ! |
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| 387 | !-- Calculate upstream fraction in % (s. flow_statistics) |
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| 388 | DO sr = 0, statistic_regions |
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| 389 | sums_up_fraction_l(component,2,sr) = & |
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| 390 | sums_up_fraction_l(component,2,sr) + 1.0 |
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| 391 | ENDDO |
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| 392 | ELSE |
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| 393 | t1 = ad_v(k,j,i) * dt_3d * ddy |
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| 394 | t2 = 3.0 * ( vad(k,j-1) - vad(k,j) ) + & |
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| 395 | ( 2.0 * r(k,j) + r(k,j-1) ) * dy |
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| 396 | t3 = 2.0 * ( vad(k,j-1) - vad(k,j) ) + & |
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| 397 | ( r(k,j) + r(k,j-1) ) * dy |
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| 398 | vad_in_out(k,j,i) = vad(k,j) - r(k,j) * t1 * dy + & |
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| 399 | t2 * t1**2 - t3 * t1**3 |
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| 400 | IF ( vad(k,j-1) == vad(k,j) ) THEN |
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| 401 | vad_in_out(k,j,i) = vad(k,j) |
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| 402 | ENDIF |
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| 403 | ENDIF |
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| 404 | |
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| 405 | ELSE |
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| 406 | |
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| 407 | IF ( ABS( vad(k,j) - vad(k,j+1) ) <= ups_limit ) THEN |
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| 408 | vad_in_out(k,j,i) = vad(k,j) - dt_3d * ad_v(k,j,i) * & |
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| 409 | ( vad(k,j+1) - vad(k,j) ) * ddy |
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| 410 | ! |
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| 411 | !-- Calculate upstream fraction in % (s. flow_statistics) |
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| 412 | DO sr = 0, statistic_regions |
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| 413 | sums_up_fraction_l(component,2,sr) = & |
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| 414 | sums_up_fraction_l(component,2,sr) + 1.0 |
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| 415 | ENDDO |
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| 416 | ELSE |
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| 417 | t1 = -ad_v(k,j,i) * dt_3d * ddy |
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| 418 | t2 = 3.0 * ( vad(k,j) - vad(k,j+1) ) + & |
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| 419 | ( 2.0 * r(k,j) + r(k,j+1) ) * dy |
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| 420 | t3 = 2.0 * ( vad(k,j) - vad(k,j+1) ) + & |
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| 421 | ( r(k,j) + r(k,j+1) ) * dy |
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| 422 | vad_in_out(k,j,i) = vad(k,j) + r(k,j) * t1 * dy - & |
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| 423 | t2 * t1**2 + t3 * t1**3 |
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| 424 | IF ( vad(k,j+1) == vad(k,j) ) THEN |
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| 425 | vad_in_out(k,j,i) = vad(k,j) |
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| 426 | ENDIF |
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| 427 | ENDIF |
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| 428 | |
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| 429 | ENDIF |
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| 430 | ENDDO |
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| 431 | ENDDO |
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| 432 | |
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| 433 | ! |
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| 434 | !-- Limit values in order to prevent overshooting |
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| 435 | IF ( cut_spline_overshoot ) THEN |
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| 436 | |
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| 437 | DO j = 0, ny |
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| 438 | DO k = nzb+1, nzt |
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| 439 | IF ( ad_v(k,j,i) > 0.0 ) THEN |
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| 440 | IF ( vad(k,j) > vad(k,j-1) ) THEN |
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| 441 | vad_in_out(k,j,i) = MIN( vad_in_out(k,j,i), & |
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| 442 | vad(k,j) + overshoot_limit ) |
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| 443 | vad_in_out(k,j,i) = MAX( vad_in_out(k,j,i), & |
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| 444 | vad(k,j-1) - overshoot_limit ) |
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| 445 | ELSE |
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| 446 | vad_in_out(k,j,i) = MAX( vad_in_out(k,j,i), & |
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| 447 | vad(k,j) - overshoot_limit ) |
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| 448 | vad_in_out(k,j,i) = MIN( vad_in_out(k,j,i), & |
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| 449 | vad(k,j-1) + overshoot_limit ) |
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| 450 | ENDIF |
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| 451 | ELSE |
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| 452 | IF ( vad(k,j) > vad(k,j+1) ) THEN |
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| 453 | vad_in_out(k,j,i) = MIN( vad_in_out(k,j,i), & |
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| 454 | vad(k,j) + overshoot_limit ) |
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| 455 | vad_in_out(k,j,i) = MAX( vad_in_out(k,j,i), & |
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| 456 | vad(k,j+1) - overshoot_limit ) |
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| 457 | ELSE |
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| 458 | vad_in_out(k,j,i) = MAX( vad_in_out(k,j,i), & |
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| 459 | vad(k,j) - overshoot_limit ) |
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| 460 | vad_in_out(k,j,i) = MIN( vad_in_out(k,j,i), & |
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| 461 | vad(k,j+1) + overshoot_limit ) |
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| 462 | ENDIF |
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| 463 | ENDIF |
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| 464 | ENDDO |
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| 465 | ENDDO |
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| 466 | |
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| 467 | ENDIF |
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| 468 | |
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| 469 | ! |
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| 470 | !-- Long filter (acting on tendency only) |
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| 471 | IF ( long_filter_factor /= 0.0 ) THEN |
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| 472 | |
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| 473 | ! |
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| 474 | !-- Compute tendency |
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| 475 | DO j = nys, nyn |
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| 476 | DO k = nzb+1, nzt |
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| 477 | tf(k,j) = vad_in_out(k,j,i) - vad(k,j) |
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| 478 | ENDDO |
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| 479 | ENDDO |
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| 480 | |
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| 481 | ! |
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| 482 | !-- Apply the filter |
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| 483 | wrk_long(:,0,1) = 2.0 * ( 1.0 + long_filter_factor ) |
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| 484 | wrk_long(:,0,2) = ( 1.0 - long_filter_factor ) / wrk_long(:,0,1) |
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| 485 | wrk_long(:,0,3) = ( long_filter_factor * tf(:,ny) + & |
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| 486 | 2.0 * tf(:,0) + tf(:,1) ) / wrk_long(:,0,1) |
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| 487 | |
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| 488 | DO j = 1, ny-1 |
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| 489 | DO k = nzb+1, nzt |
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| 490 | wrk_long(k,j,1) = 2.0 * ( 1.0 + long_filter_factor ) - & |
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| 491 | ( 1.0 - long_filter_factor ) * & |
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| 492 | wrk_long(k,j-1,2) |
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| 493 | wrk_long(k,j,2) = ( 1.0 - long_filter_factor ) / wrk_long(k,j,1) |
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| 494 | wrk_long(k,j,3) = ( tf(k,j-1) + 2.0 * tf(k,j) + & |
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| 495 | tf(k,j+1) - ( 1.0 - long_filter_factor ) * & |
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| 496 | wrk_long(k,j-1,3) ) / wrk_long(k,j,1) |
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| 497 | ENDDO |
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| 498 | wrk_long(:,ny,1) = 2.0 * ( 1.0 + long_filter_factor ) - & |
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| 499 | ( 1.0 - long_filter_factor ) * & |
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| 500 | wrk_long(:,ny-1,2) |
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| 501 | wrk_long(:,ny,2) = ( 1.0 - long_filter_factor ) / wrk_long(:,ny,1) |
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| 502 | wrk_long(:,ny,3) = ( tf(:,ny-1) + 2.0 * tf(:,ny) + & |
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| 503 | long_filter_factor * tf(:,0) - & |
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| 504 | ( 1.0 - long_filter_factor ) * & |
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| 505 | wrk_long(:,ny-1,3) ) / wrk_long(:,ny,1) |
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| 506 | r(:,ny) = wrk_long(:,ny,3) |
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| 507 | ENDDO |
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| 508 | DO j = ny-1, 0, -1 |
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| 509 | DO k = nzb+1, nzt |
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| 510 | r(k,j) = wrk_long(k,j,3) - wrk_long(k,j,2) * r(k,j+1) |
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| 511 | ENDDO |
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| 512 | ENDDO |
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| 513 | DO j = 0, ny |
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| 514 | DO k = nzb+1, nzt |
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| 515 | vad_in_out(k,j,i) = vad(k,j) + r(k,j) |
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| 516 | ENDDO |
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| 517 | ENDDO |
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| 518 | |
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| 519 | ENDIF ! Long filter |
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| 520 | |
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| 521 | ENDDO |
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| 522 | #endif |
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| 523 | |
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| 524 | IF ( long_filter_factor /= 0.0 ) DEALLOCATE( tf, wrk_long ) |
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| 525 | DEALLOCATE( r, vad, wrk_spline ) |
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| 526 | |
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| 527 | END SUBROUTINE spline_y |
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