| 1 | MODULE module_interp |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE module_interp *** |
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| 4 | !! Ocean forcing: bulk thermohaline forcing of the ocean (or ice) |
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| 5 | !!===================================================================== |
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| 6 | !! History : 2016-10 (F. Lemarié) Original code |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! zinterp : |
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| 11 | !! reconstructandremap : |
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| 12 | !! reconstructandremap_ps : |
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| 13 | !! |
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| 14 | !!---------------------------------------------------------------------- |
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| 15 | IMPLICIT NONE |
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| 16 | |
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| 17 | CONTAINS |
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| 18 | |
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| 19 | SUBROUTINE zinterp( jpi, jpj, jpka, jpka_in, ind, tab_in, e3t_in, e3_bak, & |
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| 20 | & e3t_out, tab_out, interp_type ) |
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| 21 | |
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| 22 | !!--------------------------------------------------------------------- |
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| 23 | !! *** ROUTINE zinterp *** |
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| 24 | !! |
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| 25 | !! ** Purpose : |
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| 26 | !! |
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| 27 | !! ** Method : |
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| 28 | !! |
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| 29 | !! ** Action : |
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| 30 | !!---------------------------------------------------------------------- |
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| 31 | INTEGER, INTENT(in ) :: jpi, jpj |
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| 32 | INTEGER, INTENT(in ) :: jpka, jpka_in, interp_type |
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| 33 | INTEGER, INTENT(in ) :: ind ( 1:jpi, 1:jpj ) |
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| 34 | REAL(8), INTENT(inout) :: tab_in ( 1:jpi, 1:jpj, 1:jpka_in ) |
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| 35 | REAL(8), INTENT(in ) :: e3t_in ( 1:jpi, 1:jpj, 1:jpka_in ) |
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| 36 | REAL(8), INTENT(in ) :: e3_bak ( 1:jpi, 1:jpj ) |
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| 37 | REAL(8), INTENT(in ) :: e3t_out ( 1:jpka+1 ) |
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| 38 | REAL(8), INTENT( out) :: tab_out ( 1:jpi, 1:jpj, 1:jpka+1 ) |
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| 39 | !! |
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| 40 | INTEGER :: ji,jj,k_in |
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| 41 | REAL(8) :: val1,val2,cff |
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| 42 | |
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| 43 | SELECT CASE(interp_type) |
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| 44 | CASE(1) ! WENO |
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| 45 | DO jj = 1,jpj |
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| 46 | DO ji = 1,jpi |
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| 47 | k_in = ind( ji, jj ) |
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| 48 | val1 = tab_in ( ji, jj, k_in-1 ) |
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| 49 | val2 = tab_in ( ji, jj, k_in ) |
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| 50 | cff = val1 * e3_bak( ji, jj ) & |
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| 51 | & + val2 * e3t_in( ji, jj, k_in-1 ) & |
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| 52 | & + (val2-val1) * e3t_in( ji, jj, k_in ) |
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| 53 | tab_in( ji, jj, k_in ) = cff / ( e3_bak( ji, jj ) + e3t_in ( ji, jj, k_in-1 ) ) |
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| 54 | ! |
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| 55 | CALL reconstructandremap( tab_in ( ji, jj, 1:k_in ), e3t_in( ji, jj, 1:k_in ), & |
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| 56 | & tab_out( ji, jj, 2:jpka+1 ), e3t_out ( 2:jpka+1 ), & |
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| 57 | & k_in, jpka ) |
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| 58 | ! |
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| 59 | END DO |
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| 60 | END DO |
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| 61 | CASE(2) ! SPLINES |
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| 62 | DO jj = 1,jpj |
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| 63 | DO ji = 1,jpi |
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| 64 | k_in = ind( ji, jj ) |
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| 65 | val1 = tab_in ( ji, jj, k_in-1 ) |
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| 66 | val2 = tab_in ( ji, jj, k_in ) |
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| 67 | cff = val1 * e3_bak( ji, jj ) & |
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| 68 | & + val2 * e3t_in( ji, jj, k_in-1 ) & |
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| 69 | & + (val2-val1) * e3t_in( ji, jj, k_in ) |
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| 70 | tab_in( ji, jj, k_in ) = cff / ( e3_bak( ji, jj ) + e3t_in ( ji, jj, k_in-1 ) ) |
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| 71 | ! |
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| 72 | CALL reconstructandremap_ps( tab_in ( ji, jj, 1:k_in ), e3t_in( ji, jj, 1:k_in ), & |
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| 73 | & tab_out( ji, jj, 2:jpka+1 ), e3t_out ( 2:jpka+1 ), & |
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| 74 | & k_in, jpka ) |
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| 75 | ! |
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| 76 | END DO |
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| 77 | END DO |
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| 78 | CASE DEFAULT |
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| 79 | WRITE(*,*) "### Error: problem in zinterp, interp_type not set properly" |
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| 80 | STOP |
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| 81 | END SELECT |
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| 82 | ! |
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| 83 | END SUBROUTINE zinterp |
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| 84 | |
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| 85 | |
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| 86 | |
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| 87 | |
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| 88 | |
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| 89 | ! |
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| 90 | !=================================================================================================== |
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| 91 | subroutine reconstructandremap(tabin,hin,tabout,hout,N,Nout) |
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| 92 | !--------------------------------------------------------------------------------------------------- |
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| 93 | implicit none |
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| 94 | integer :: N, Nout |
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| 95 | real(8) :: tabin(N), tabout(Nout) |
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| 96 | real(8) :: hin(N), hout(Nout) |
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| 97 | real(8) :: coeffremap(N,3),zwork(N,3) |
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| 98 | real(8) :: zwork2(N+1,3) |
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| 99 | integer :: k |
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| 100 | real(8), parameter :: dsmll=1.0d-8 |
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| 101 | real(8) :: q,q01,q02,q001,q002,q0 |
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| 102 | real(8) :: z_win(1:N+1), z_wout(1:Nout+1) |
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| 103 | real(8),parameter :: dpthin = 1.D-3 |
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| 104 | integer :: k1, kbox, ktop, ka, kbot |
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| 105 | real(8) :: tsum, qbot, rpsum, zbox, ztop, zthk, zbot, offset, qtop |
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| 106 | !----- |
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| 107 | |
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| 108 | !---------------------- |
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| 109 | z_win(1)=0.; z_wout(1)= 0. |
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| 110 | do k=1,N |
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| 111 | z_win(k+1)=z_win(k)+hin(k) |
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| 112 | enddo |
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| 113 | |
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| 114 | do k=1,Nout |
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| 115 | z_wout(k+1)=z_wout(k)+hout(k) |
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| 116 | enddo |
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| 117 | |
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| 118 | do k=2,N |
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| 119 | zwork(k,1)=1./(hin(k-1)+hin(k)) |
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| 120 | enddo |
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| 121 | |
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| 122 | do k=2,N-1 |
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| 123 | q0 = 1./(hin(k-1)+hin(k)+hin(k+1)) |
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| 124 | zwork(k,2)=hin(k-1)+2.*hin(k)+hin(k+1) |
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| 125 | zwork(k,3)=q0 |
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| 126 | enddo |
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| 127 | |
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| 128 | do k= 2,N |
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| 129 | zwork2(k,1)=zwork(k,1)*(tabin(k)-tabin(k-1)) |
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| 130 | enddo |
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| 131 | |
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| 132 | coeffremap(:,1) = tabin(:) |
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| 133 | |
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| 134 | do k=2,N-1 |
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| 135 | q001 = hin(k)*zwork2(k+1,1) |
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| 136 | q002 = hin(k)*zwork2(k,1) |
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| 137 | if (q001*q002 < 0) then |
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| 138 | q001 = 0. |
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| 139 | q002 = 0. |
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| 140 | endif |
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| 141 | q=zwork(k,2) |
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| 142 | q01=q*zwork2(k+1,1) |
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| 143 | q02=q*zwork2(k,1) |
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| 144 | if (abs(q001) > abs(q02)) q001 = q02 |
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| 145 | if (abs(q002) > abs(q01)) q002 = q01 |
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| 146 | |
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| 147 | q=(q001-q002)*zwork(k,3) |
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| 148 | q001=q001-q*hin(k+1) |
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| 149 | q002=q002+q*hin(k-1) |
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| 150 | |
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| 151 | coeffremap(k,3)=coeffremap(k,1)+q001 |
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| 152 | coeffremap(k,2)=coeffremap(k,1)-q002 |
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| 153 | |
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| 154 | zwork2(k,1)=(2.*q001-q002)**2 |
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| 155 | zwork2(k,2)=(2.*q002-q001)**2 |
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| 156 | enddo |
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| 157 | |
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| 158 | do k=1,N |
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| 159 | if (k.eq.1 .or. k.eq.N .or. hin(k).le.dpthin) then |
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| 160 | coeffremap(k,3) = coeffremap(k,1) |
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| 161 | coeffremap(k,2) = coeffremap(k,1) |
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| 162 | zwork2(k,1) = 0. |
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| 163 | zwork2(k,2) = 0. |
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| 164 | endif |
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| 165 | enddo |
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| 166 | |
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| 167 | do k=2,N |
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| 168 | q002=max(zwork2(k-1,2),dsmll) |
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| 169 | q001=max(zwork2(k,1),dsmll) |
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| 170 | zwork2(k,3)=(q001*coeffremap(k-1,3)+q002*coeffremap(k,2))/(q001+q002) |
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| 171 | enddo |
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| 172 | |
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| 173 | zwork2(1,3) = 2*coeffremap(1,1)-zwork2(2,3) |
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| 174 | zwork2(N+1,3)=2*coeffremap(N,1)-zwork2(N,3) |
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| 175 | |
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| 176 | do k=1,N |
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| 177 | q01=zwork2(k+1,3)-coeffremap(k,1) |
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| 178 | q02=coeffremap(k,1)-zwork2(k,3) |
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| 179 | q001=2.*q01 |
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| 180 | q002=2.*q02 |
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| 181 | if (q01*q02<0) then |
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| 182 | q01=0. |
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| 183 | q02=0. |
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| 184 | elseif (abs(q01)>abs(q002)) then |
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| 185 | q01=q002 |
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| 186 | elseif (abs(q02)>abs(q001)) then |
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| 187 | q02=q001 |
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| 188 | endif |
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| 189 | coeffremap(k,2)=coeffremap(k,1)-q02 |
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| 190 | coeffremap(k,3)=coeffremap(k,1)+q01 |
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| 191 | enddo |
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| 192 | |
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| 193 | zbot=0.0 |
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| 194 | kbot=1 |
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| 195 | do k=1,Nout |
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| 196 | ztop=zbot !top is bottom of previous layer |
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| 197 | ktop=kbot |
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| 198 | if (ztop.ge.z_win(ktop+1)) then |
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| 199 | ktop=ktop+1 |
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| 200 | endif |
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| 201 | |
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| 202 | zbot=z_wout(k+1) |
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| 203 | zthk=zbot-ztop |
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| 204 | |
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| 205 | if (zthk.gt.dpthin .and. ztop.lt.z_wout(Nout+1)) then |
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| 206 | |
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| 207 | kbot=ktop |
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| 208 | do while (z_win(kbot+1).lt.zbot.and.kbot.lt.N) |
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| 209 | kbot=kbot+1 |
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| 210 | enddo |
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| 211 | zbox=zbot |
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| 212 | do k1= k+1,Nout |
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| 213 | if (z_wout(k1+1)-z_wout(k1).gt.dpthin) then |
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| 214 | exit !thick layer |
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| 215 | else |
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| 216 | zbox=z_wout(k1+1) !include thin adjacent layers |
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| 217 | if (zbox.eq.z_wout(Nout+1)) then |
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| 218 | exit !at bottom |
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| 219 | endif |
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| 220 | endif |
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| 221 | enddo |
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| 222 | zthk=zbox-ztop |
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| 223 | |
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| 224 | kbox=ktop |
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| 225 | do while (z_win(kbox+1).lt.zbox.and.kbox.lt.N) |
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| 226 | kbox=kbox+1 |
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| 227 | enddo |
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| 228 | |
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| 229 | if (ktop.eq.kbox) then |
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| 230 | |
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| 231 | |
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| 232 | if (z_wout(k) .ne.z_win(kbox) .or.z_wout(k+1).ne.z_win(kbox+1) ) then |
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| 233 | |
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| 234 | if (hin(kbox).gt.dpthin) then |
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| 235 | q001 = (zbox-z_win(kbox))/hin(kbox) |
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| 236 | q002 = (ztop-z_win(kbox))/hin(kbox) |
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| 237 | q01=q001**2+q002**2+q001*q002+1.-2.*(q001+q002) |
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| 238 | q02=q01-1.+(q001+q002) |
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| 239 | q0=1.-q01-q02 |
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| 240 | else |
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| 241 | q0 = 1.0 |
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| 242 | q01 = 0. |
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| 243 | q02 = 0. |
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| 244 | endif |
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| 245 | tabout(k)=q0*coeffremap(kbox,1)+q01*coeffremap(kbox,2)+q02*coeffremap(kbox,3) |
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| 246 | |
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| 247 | else |
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| 248 | tabout(k) = tabin(kbox) |
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| 249 | |
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| 250 | endif |
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| 251 | |
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| 252 | else |
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| 253 | |
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| 254 | if (ktop.le.k .and. kbox.ge.k) then |
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| 255 | ka = k |
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| 256 | elseif (kbox-ktop.ge.3) then |
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| 257 | ka = (kbox+ktop)/2 |
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| 258 | elseif (hin(ktop).ge.hin(kbox)) then |
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| 259 | ka = ktop |
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| 260 | else |
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| 261 | ka = kbox |
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| 262 | endif !choose ka |
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| 263 | |
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| 264 | offset=coeffremap(ka,1) |
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| 265 | |
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| 266 | qtop = z_win(ktop+1)-ztop !partial layer thickness |
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| 267 | if (hin(ktop).gt.dpthin) then |
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| 268 | q=(ztop-z_win(ktop))/hin(ktop) |
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| 269 | q01=q*(q-1.) |
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| 270 | q02=q01+q |
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| 271 | q0=1-q01-q02 |
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| 272 | else |
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| 273 | q0 = 1. |
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| 274 | q01 = 0. |
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| 275 | q02 = 0. |
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| 276 | endif |
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| 277 | |
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| 278 | tsum =((q0*coeffremap(ktop,1)+q01*coeffremap(ktop,2)+q02*coeffremap(ktop,3))-offset)*qtop |
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| 279 | |
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| 280 | do k1= ktop+1,kbox-1 |
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| 281 | tsum =tsum +(coeffremap(k1,1)-offset)*hin(k1) |
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| 282 | enddo !k1 |
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| 283 | |
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| 284 | |
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| 285 | qbot = zbox-z_win(kbox) !partial layer thickness |
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| 286 | if (hin(kbox).gt.dpthin) then |
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| 287 | q=qbot/hin(kbox) |
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| 288 | q01=(q-1.)**2 |
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| 289 | q02=q01-1.+q |
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| 290 | q0=1-q01-q02 |
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| 291 | else |
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| 292 | q0 = 1.0 |
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| 293 | q01 = 0. |
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| 294 | q02 = 0. |
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| 295 | endif |
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| 296 | |
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| 297 | tsum = tsum +((q0*coeffremap(kbox,1)+q01*coeffremap(kbox,2)+q02*coeffremap(kbox,3))-offset)*qbot |
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| 298 | |
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| 299 | rpsum=1.0d0/zthk |
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| 300 | tabout(k)=offset+tsum*rpsum |
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| 301 | |
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| 302 | endif !single or multiple layers |
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| 303 | else |
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| 304 | if (k==1) then |
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| 305 | print *,'problem = ',zthk,z_wout(k+1),hout(1) |
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| 306 | endif |
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| 307 | tabout(k) = tabout(k-1) |
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| 308 | |
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| 309 | endif !normal:thin layer |
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| 310 | enddo !k |
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| 311 | |
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| 312 | return |
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| 313 | |
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| 314 | !--------------------------------------------------------------------------------------------------- |
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| 315 | end subroutine reconstructandremap |
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| 316 | !=================================================================================================== |
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| 317 | ! |
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| 318 | |
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| 319 | |
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| 320 | |
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| 321 | |
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| 322 | |
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| 323 | |
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| 324 | |
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| 325 | |
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| 326 | |
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| 327 | ! |
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| 328 | !=================================================================================================== |
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| 329 | subroutine reconstructandremap_ps(tabin,hin,tabout,hout,N,Nout) ! parabloc spline |
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| 330 | !--------------------------------------------------------------------------------------------------- |
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| 331 | implicit none |
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| 332 | integer N, Nout |
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| 333 | real(8) tabin(N), tabout(Nout) |
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| 334 | real(8) hin(N), hout(Nout) |
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| 335 | real(8) coeffremap(N,3),zwork(N,3) |
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| 336 | real(8) zwork2(N+1,3) |
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| 337 | |
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| 338 | real(8) my_zwork(0:N,3) |
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| 339 | real(8) my_zwork2(0:N,3) |
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| 340 | |
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| 341 | integer k |
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| 342 | double precision, parameter :: dsmll=1.0d-8 |
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| 343 | real(8) q,q01,q02,q001,q002,q0 |
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| 344 | real(8) z_win(1:N+1), z_wout(1:Nout+1) |
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| 345 | real(8),parameter :: dpthin = 1.D-3 |
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| 346 | integer :: k1, kbox, ktop, ka, kbot |
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| 347 | real(8) :: tsum, qbot, rpsum, zbox, ztop, zthk, zbot, offset, qtop |
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| 348 | real(8) :: p |
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| 349 | real(8) :: qtri(0:N) |
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| 350 | |
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| 351 | z_win(1)=0.; z_wout(1)= 0. |
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| 352 | do k=1,N |
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| 353 | z_win(k+1)=z_win(k)+hin(k) |
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| 354 | enddo |
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| 355 | |
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| 356 | do k=1,Nout |
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| 357 | z_wout(k+1)=z_wout(k)+hout(k) |
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| 358 | enddo |
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| 359 | |
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| 360 | do k=2,N |
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| 361 | zwork(k,1)=1./(hin(k-1)+hin(k)) |
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| 362 | enddo |
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| 363 | |
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| 364 | do k=2,N-1 |
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| 365 | q0 = 1./(hin(k-1)+hin(k)+hin(k+1)) |
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| 366 | zwork(k,2)=hin(k-1)+2.*hin(k)+hin(k+1) |
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| 367 | zwork(k,3)=q0 |
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| 368 | enddo |
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| 369 | |
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| 370 | do k= 2,N |
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| 371 | zwork2(k,1)=zwork(k,1)*(tabin(k)-tabin(k-1)) |
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| 372 | enddo |
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| 373 | |
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| 374 | coeffremap(:,1) = tabin(:) |
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| 375 | |
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| 376 | do k=2,N-1 |
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| 377 | q001 = hin(k)*zwork2(k+1,1) |
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| 378 | q002 = hin(k)*zwork2(k,1) |
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| 379 | ! if (q001*q002 < 0) then |
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| 380 | ! q001 = 0. |
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| 381 | ! q002 = 0. |
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| 382 | ! endif |
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| 383 | q=zwork(k,2) |
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| 384 | q01=q*zwork2(k+1,1) |
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| 385 | q02=q*zwork2(k,1) |
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| 386 | ! if (abs(q001) > abs(q02)) q001 = q02 |
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| 387 | ! if (abs(q002) > abs(q01)) q002 = q01 |
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| 388 | |
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| 389 | q=(q001-q002)*zwork(k,3) |
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| 390 | q001=q001-q*hin(k+1) |
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| 391 | q002=q002+q*hin(k-1) |
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| 392 | |
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| 393 | coeffremap(k,3)=coeffremap(k,1)+q001 |
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| 394 | coeffremap(k,2)=coeffremap(k,1)-q002 |
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| 395 | |
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| 396 | zwork2(k,1)=(2.*q001-q002)**2 |
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| 397 | zwork2(k,2)=(2.*q002-q001)**2 |
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| 398 | enddo |
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| 399 | |
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| 400 | do k=1,N |
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| 401 | if (k.eq.1 .or. k.eq.N .or. hin(k).le.dpthin) then |
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| 402 | coeffremap(k,3) = coeffremap(k,1) |
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| 403 | coeffremap(k,2) = coeffremap(k,1) |
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| 404 | zwork2(k,1) = 0. |
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| 405 | zwork2(k,2) = 0. |
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| 406 | endif |
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| 407 | enddo |
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| 408 | |
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| 409 | do k=2,N |
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| 410 | q002=max(zwork2(k-1,2),dsmll) |
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| 411 | q001=max(zwork2(k,1),dsmll) |
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| 412 | zwork2(k,3)=(q001*coeffremap(k-1,3)+q002*coeffremap(k,2))/(q001+q002) |
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| 413 | enddo |
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| 414 | |
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| 415 | zwork2(1,3) = 2*coeffremap(1,1)-zwork2(2,3) |
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| 416 | zwork2(N+1,3)=2*coeffremap(N,1)-zwork2(N,3) |
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| 417 | |
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| 418 | do k=1,N |
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| 419 | q01=zwork2(k+1,3)-coeffremap(k,1) |
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| 420 | q02=coeffremap(k,1)-zwork2(k,3) |
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| 421 | ! q001=2.*q01 |
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| 422 | ! q002=2.*q02 |
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| 423 | ! if (q01*q02<0) then |
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| 424 | ! q01=0. |
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| 425 | ! q02=0. |
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| 426 | ! elseif (abs(q01)>abs(q002)) then |
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| 427 | ! q01=q002 |
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| 428 | ! elseif (abs(q02)>abs(q001)) then |
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| 429 | ! q02=q001 |
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| 430 | ! endif |
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| 431 | coeffremap(k,2)=coeffremap(k,1)-q02 |
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| 432 | coeffremap(k,3)=coeffremap(k,1)+q01 |
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| 433 | enddo |
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| 434 | |
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| 435 | |
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| 436 | do k=0,N |
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| 437 | if (k==0) then |
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| 438 | my_zwork(k,1)=0. |
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| 439 | my_zwork(k,2)=1. |
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| 440 | my_zwork(k,3)=0.5 |
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| 441 | my_zwork2(k,1)=1.5*tabin(1) |
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| 442 | elseif (k==N) then |
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| 443 | my_zwork(k,1)=0.5 |
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| 444 | my_zwork(k,2)=1. |
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| 445 | my_zwork(k,3)=0. |
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| 446 | my_zwork2(k,1)=1.5*tabin(k) |
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| 447 | else |
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| 448 | my_zwork(k,1)=hin(k+1) |
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| 449 | my_zwork(k,2)=2.*(hin(k)+hin(k+1)) |
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| 450 | my_zwork(k,3)=hin(k) |
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| 451 | my_zwork2(k,1)=3.*(hin(k+1)*tabin(k)+hin(k)*tabin(k+1)) |
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| 452 | my_zwork2(k,2)=my_zwork2(k,1) |
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| 453 | endif |
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| 454 | enddo |
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| 455 | |
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| 456 | qtri(0)=-my_zwork(0,3)/my_zwork(0,2) |
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| 457 | my_zwork2(0,1)=my_zwork2(0,1)/my_zwork(0,2) |
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| 458 | |
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| 459 | do k=1,N |
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| 460 | p=1.0/(my_zwork(k,2)+my_zwork(k,1)*qtri(k-1)) |
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| 461 | qtri(k)=-my_zwork(k,3)*p |
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| 462 | my_zwork2(k,1)=(my_zwork2(k,1)-my_zwork(k,1)*my_zwork2(k-1,1))*p |
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| 463 | enddo |
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| 464 | |
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| 465 | do k=N-1,0,-1 |
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| 466 | my_zwork2(k,1)=my_zwork2(k,1)+qtri(k)*my_zwork2(k+1,1) |
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| 467 | enddo |
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| 468 | |
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| 469 | do k=1,N |
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| 470 | coeffremap(k,2)=my_zwork2(k-1,1) |
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| 471 | coeffremap(k,3)=my_zwork2(k,1) |
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| 472 | enddo |
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| 473 | |
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| 474 | do k=2,N-1 |
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| 475 | ! print *,'VAL22 = ',my_zwork(k,1)*my_zwork2(k-1,1) |
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| 476 | ! &+my_zwork(k,2)*my_zwork2(k,1) |
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| 477 | ! & +my_zwork(k,3)*my_zwork2(k+1,1),my_zwork2(k,2) |
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| 478 | enddo |
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| 479 | |
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| 480 | zbot=0.0 |
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| 481 | kbot=1 |
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| 482 | do k=1,Nout |
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| 483 | ztop=zbot !top is bottom of previous layer |
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| 484 | ktop=kbot |
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| 485 | if (ztop.ge.z_win(ktop+1)) then |
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| 486 | ktop=ktop+1 |
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| 487 | endif |
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| 488 | |
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| 489 | zbot=z_wout(k+1) |
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| 490 | zthk=zbot-ztop |
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| 491 | |
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| 492 | if (zthk.gt.dpthin .and. ztop.lt.z_wout(Nout+1)) then |
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| 493 | |
|---|
| 494 | kbot=ktop |
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| 495 | do while (z_win(kbot+1).lt.zbot.and.kbot.lt.N) |
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| 496 | kbot=kbot+1 |
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| 497 | enddo |
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| 498 | zbox=zbot |
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| 499 | do k1= k+1,Nout |
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| 500 | if (z_wout(k1+1)-z_wout(k1).gt.dpthin) then |
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| 501 | exit !thick layer |
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| 502 | else |
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| 503 | zbox=z_wout(k1+1) !include thin adjacent layers |
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| 504 | if (zbox.eq.z_wout(Nout+1)) then |
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| 505 | exit !at bottom |
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| 506 | endif |
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| 507 | endif |
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| 508 | enddo |
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| 509 | zthk=zbox-ztop |
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| 510 | |
|---|
| 511 | kbox=ktop |
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| 512 | do while (z_win(kbox+1).lt.zbox.and.kbox.lt.N) |
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| 513 | kbox=kbox+1 |
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| 514 | enddo |
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| 515 | |
|---|
| 516 | if (ktop.eq.kbox) then |
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| 517 | |
|---|
| 518 | |
|---|
| 519 | if (z_wout(k) .ne.z_win(kbox).or.z_wout(k+1).ne.z_win(kbox+1) ) then |
|---|
| 520 | |
|---|
| 521 | if (hin(kbox).gt.dpthin) then |
|---|
| 522 | q001 = (zbox-z_win(kbox))/hin(kbox) |
|---|
| 523 | q002 = (ztop-z_win(kbox))/hin(kbox) |
|---|
| 524 | q01=q001**2+q002**2+q001*q002+1.-2.*(q001+q002) |
|---|
| 525 | q02=q01-1.+(q001+q002) |
|---|
| 526 | q0=1.-q01-q02 |
|---|
| 527 | else |
|---|
| 528 | q0 = 1.0 |
|---|
| 529 | q01 = 0. |
|---|
| 530 | q02 = 0. |
|---|
| 531 | endif |
|---|
| 532 | tabout(k)=q0*coeffremap(kbox,1)+q01*coeffremap(kbox,2) & |
|---|
| 533 | +q02*coeffremap(kbox,3) |
|---|
| 534 | else |
|---|
| 535 | tabout(k) = tabin(kbox) |
|---|
| 536 | |
|---|
| 537 | endif |
|---|
| 538 | |
|---|
| 539 | else |
|---|
| 540 | |
|---|
| 541 | if (ktop.le.k .and. kbox.ge.k) then |
|---|
| 542 | ka = k |
|---|
| 543 | elseif (kbox-ktop.ge.3) then |
|---|
| 544 | ka = (kbox+ktop)/2 |
|---|
| 545 | elseif (hin(ktop).ge.hin(kbox)) then |
|---|
| 546 | ka = ktop |
|---|
| 547 | else |
|---|
| 548 | ka = kbox |
|---|
| 549 | endif !choose ka |
|---|
| 550 | |
|---|
| 551 | offset=coeffremap(ka,1) |
|---|
| 552 | |
|---|
| 553 | qtop = z_win(ktop+1)-ztop !partial layer thickness |
|---|
| 554 | if (hin(ktop).gt.dpthin) then |
|---|
| 555 | q=(ztop-z_win(ktop))/hin(ktop) |
|---|
| 556 | q01=q*(q-1.) |
|---|
| 557 | q02=q01+q |
|---|
| 558 | q0=1-q01-q02 |
|---|
| 559 | else |
|---|
| 560 | q0 = 1. |
|---|
| 561 | q01 = 0. |
|---|
| 562 | q02 = 0. |
|---|
| 563 | endif |
|---|
| 564 | |
|---|
| 565 | tsum =((q0*coeffremap(ktop,1)+q01*coeffremap(ktop,2)+ & |
|---|
| 566 | q02*coeffremap(ktop,3))-offset)*qtop |
|---|
| 567 | |
|---|
| 568 | do k1= ktop+1,kbox-1 |
|---|
| 569 | tsum =tsum +(coeffremap(k1,1)-offset)*hin(k1) |
|---|
| 570 | enddo !k1 |
|---|
| 571 | |
|---|
| 572 | |
|---|
| 573 | qbot = zbox-z_win(kbox) !partial layer thickness |
|---|
| 574 | if (hin(kbox).gt.dpthin) then |
|---|
| 575 | q=qbot/hin(kbox) |
|---|
| 576 | q01=(q-1.)**2 |
|---|
| 577 | q02=q01-1.+q |
|---|
| 578 | q0=1-q01-q02 |
|---|
| 579 | else |
|---|
| 580 | q0 = 1.0 |
|---|
| 581 | q01 = 0. |
|---|
| 582 | q02 = 0. |
|---|
| 583 | endif |
|---|
| 584 | |
|---|
| 585 | tsum = tsum +((q0*coeffremap(kbox,1)+q01*coeffremap(kbox,2)+ & |
|---|
| 586 | q02*coeffremap(kbox,3))-offset)*qbot |
|---|
| 587 | |
|---|
| 588 | rpsum=1.0d0/zthk |
|---|
| 589 | tabout(k)=offset+tsum*rpsum |
|---|
| 590 | |
|---|
| 591 | endif !single or multiple layers |
|---|
| 592 | else |
|---|
| 593 | if (k==1) then |
|---|
| 594 | print *,'problem = ',zthk,z_wout(k+1),hout(1),hin(1),hin(2) |
|---|
| 595 | stop |
|---|
| 596 | endif |
|---|
| 597 | tabout(k) = tabout(k-1) |
|---|
| 598 | |
|---|
| 599 | endif !normal:thin layer |
|---|
| 600 | enddo !k |
|---|
| 601 | |
|---|
| 602 | return |
|---|
| 603 | !--------------------------------------------------------------------------------------------------- |
|---|
| 604 | end subroutine reconstructandremap_ps |
|---|
| 605 | !=================================================================================================== |
|---|
| 606 | ! |
|---|
| 607 | |
|---|
| 608 | end module module_interp |
|---|
