[2136] | 1 | !************************************************************************ |
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| 2 | ! Fortran 95 OPA Nesting tools * |
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| 3 | ! * |
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| 4 | ! Copyright (C) 2005 Florian Lemarié (Florian.Lemarie@imag.fr) * |
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| 5 | ! Laurent Debreu (Laurent.Debreu@imag.fr) * |
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| 6 | !************************************************************************ |
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| 7 | ! |
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| 8 | !Smoothing procedures : Pierrick Penven 2004 |
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| 9 | ! |
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| 10 | MODULE agrif_connect_topo |
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| 11 | ! |
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| 12 | USE agrif_types |
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| 13 | ! |
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| 14 | IMPLICIT NONE |
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| 15 | ! |
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| 16 | CONTAINS |
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| 17 | ! |
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| 18 | ! |
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| 19 | !************************************************************************ |
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| 20 | ! * |
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| 21 | ! MODULE CONNECT_TOPO * |
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| 22 | ! * |
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| 23 | ! module containing subroutine used for : * |
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| 24 | ! - Parent-Child bathymetry connection * |
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| 25 | ! - Bathymetry smoothing * |
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| 26 | ! - Meters to levels conversion * |
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| 27 | ! - Parent Bathymetry update * |
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| 28 | ! * |
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| 29 | !************************************************************************ |
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| 30 | ! |
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| 31 | !**************************************************************** |
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| 32 | ! subroutine init_constant_bathy * |
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| 33 | ! * |
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| 34 | ! * |
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| 35 | ! - input : * |
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| 36 | ! coarse_bathy : coarse grid bathymetry * |
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| 37 | ! - ouput : * |
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| 38 | ! bathy_fin_constant : coarse bathymetry on fine grid * |
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| 39 | ! * |
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| 40 | !**************************************************************** |
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| 41 | ! |
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| 42 | SUBROUTINE init_constant_bathy(coarse_bathy,bathy_fin_constant) |
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| 43 | ! |
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| 44 | IMPLICIT NONE |
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| 45 | ! |
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| 46 | INTEGER :: i,j,ii,jj,ji |
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| 47 | INTEGER :: jpt,ipt,diff,indx,indy,bornex,borney,bornex2,borney2 |
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| 48 | INTEGER :: jdeb,ideb,ifin,jfin |
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| 49 | REAL*8, DIMENSION(:,:) :: coarse_bathy |
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| 50 | REAL*8, DIMENSION(:,:),POINTER :: bathy_fin_constant |
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| 51 | TYPE(Coordinates) :: Grid |
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| 52 | ! |
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| 53 | ! |
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| 54 | diff = 0 |
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| 55 | IF(MOD(rho,2) .EQ. 0) diff = 1 |
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| 56 | ! |
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| 57 | indx = 2 + CEILING(irafx/2.0) + diff |
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| 58 | indy = 2 + CEILING(irafy/2.0) + diff |
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| 59 | bornex = nbghostcellsfine + CEILING(irafx/2.0) + diff - irafx |
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| 60 | borney = nbghostcellsfine + CEILING(irafy/2.0) + diff - irafy |
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| 61 | bornex2 = nxfin - (nbghostcellsfine-1) + irafx - CEILING(irafx/2.0) |
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| 62 | borney2 = nyfin - (nbghostcellsfine-1) + irafy - CEILING(irafy/2.0) |
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| 63 | ! |
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| 64 | ALLOCATE(bathy_fin_constant(bornex-FLOOR(irafx/2.0):bornex2+FLOOR(irafx/2.0), & |
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| 65 | borney-FLOOR(irafy/2.0):borney2+FLOOR(irafy/2.0))) |
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| 66 | ! |
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| 67 | DO j = borney,borney2,irafy |
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| 68 | |
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| 69 | jpt = jmin + 3 - 1 + (j-indy)/irafy |
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| 70 | IF(j<=1) jpt = jmin + 1 |
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| 71 | |
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| 72 | DO i = bornex,bornex2,irafx |
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| 73 | |
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| 74 | ipt = imin + 3 - 1 + (i-indx)/irafx |
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| 75 | IF(i<=1) ipt = imin + 1 |
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| 76 | ! |
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| 77 | DO jj = j-FLOOR(irafy/2.0),j+FLOOR(irafy/2.0)-diff |
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| 78 | DO ii = i-FLOOR(irafx/2.0),i+FLOOR(irafx/2.0)-diff |
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| 79 | |
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| 80 | bathy_fin_constant(ii,jj) = coarse_bathy(ipt,jpt) |
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| 81 | |
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| 82 | END DO |
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| 83 | END DO |
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| 84 | |
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| 85 | END DO |
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| 86 | END DO |
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| 87 | ! |
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| 88 | ! |
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| 89 | END SUBROUTINE init_constant_bathy |
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| 90 | ! |
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| 91 | !**************************************************************** |
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| 92 | ! subroutine meter_to_levels * |
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| 93 | ! * |
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| 94 | ! subroutine to convert bathymetry in meters to bathymetry * |
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| 95 | ! in vertical levels * |
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| 96 | ! * |
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| 97 | ! - input/output : * |
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| 98 | ! Grid : grid where conversion is required * |
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| 99 | ! * |
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| 100 | !various input parameters come from namelist.input files * |
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| 101 | !**************************************************************** |
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| 102 | ! |
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| 103 | SUBROUTINE meter_to_levels(Grid) |
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| 104 | ! |
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| 105 | IMPLICIT NONE |
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| 106 | ! |
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| 107 | REAL*8 :: za1,za0,zsur,zacr,zkth,zmin,zmax |
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| 108 | TYPE(Coordinates) :: Grid |
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| 109 | INTEGER :: i,j |
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| 110 | INTEGER, DIMENSION(1) :: k |
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| 111 | INTEGER :: k1,ji,jj,jpi,jpj |
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| 112 | REAL*8, POINTER, DIMENSION(:) :: gdepw,gdept,e3w,e3t |
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| 113 | ! |
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| 114 | WRITE(*,*) 'convert bathymetry from etopo to vertical levels' |
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| 115 | ! |
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| 116 | jpi = SIZE(Grid%bathy_meter,1) |
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| 117 | jpj = SIZE(Grid%bathy_meter,2) |
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| 118 | ! |
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| 119 | IF ( ( pa0 == 0 .OR. pa1 == 0 .OR. psur == 0 ) & |
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| 120 | .AND. ppdzmin.NE.0 .AND. pphmax.NE.0 ) THEN |
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| 121 | ! |
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| 122 | za1=( ppdzmin - pphmax / (N-1) ) & |
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| 123 | / ( TANH((1-ppkth)/ppacr) - ppacr/(N-1) & |
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| 124 | * ( LOG( COSH( (N - ppkth) / ppacr) ) & |
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| 125 | - LOG( COSH( ( 1 - ppkth) / ppacr) ) ) ) |
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| 126 | |
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| 127 | za0 = ppdzmin - za1 * TANH( (1-ppkth) / ppacr ) |
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| 128 | zsur = - za0 - za1 * ppacr * LOG( COSH( (1-ppkth) / ppacr ) ) |
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| 129 | ! |
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| 130 | ELSE IF ( (ppdzmin == 0 .OR. pphmax == 0) .AND. psur.NE.0 .AND. & |
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| 131 | pa0.NE.0 .AND. pa1.NE.0 ) THEN |
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| 132 | ! |
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| 133 | zsur = psur |
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| 134 | za0 = pa0 |
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| 135 | za1 = pa1 |
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| 136 | ! |
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| 137 | ELSE |
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| 138 | ! |
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| 139 | WRITE(*,*) 'ERROR ***** bad vertical grid parameters ...' |
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| 140 | WRITE(*,*) ' ' |
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| 141 | WRITE(*,*) 'please check values of variables' |
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| 142 | WRITE(*,*) 'in namelist vertical_grid section' |
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| 143 | WRITE(*,*) ' ' |
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| 144 | STOP |
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| 145 | ! |
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| 146 | ENDIF |
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| 147 | |
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| 148 | zacr = ppacr |
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| 149 | zkth = ppkth |
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| 150 | |
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| 151 | ! |
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| 152 | ALLOCATE(gdepw(N),gdept(N),e3w(N),e3t(N)) |
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| 153 | ! |
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| 154 | DO i = 1,N |
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| 155 | gdepw(i) = (zsur+za0*i+za1*zacr*LOG(COSH((i-zkth)/zacr))) |
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| 156 | gdept(i) = (zsur+za0*(i+0.5)+za1*zacr*LOG(COSH(((i+0.5)-zkth)/zacr))) |
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| 157 | e3w(i) = (za0 + za1 * TANH((i-zkth)/zacr)) |
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| 158 | e3t(i) = (za0 + za1 * TANH(((i+0.5)-zkth)/zacr)) |
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| 159 | END DO |
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| 160 | ! |
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| 161 | gdepw(1) = 0.0 |
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| 162 | zmax = gdepw(N) + e3t(N) |
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| 163 | zmin = gdepw(4) |
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| 164 | ! |
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| 165 | IF ( .NOT. ASSOCIATED(Grid%bathy_level)) & |
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| 166 | ALLOCATE(Grid%bathy_level(jpi,jpj)) |
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| 167 | ! |
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| 168 | Grid%bathy_level = N-1 |
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| 169 | ! |
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| 170 | DO jj = 1, jpj |
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| 171 | DO ji= 1, jpi |
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| 172 | IF( Grid%bathy_meter(ji,jj) <= 0. ) & |
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| 173 | Grid%bathy_level(ji,jj) = INT( Grid%bathy_meter(ji,jj) ) |
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| 174 | END DO |
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| 175 | END DO |
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| 176 | ! |
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| 177 | DO jj = 1, jpj |
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| 178 | DO ji= 1, jpi |
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| 179 | IF( Grid%bathy_meter(ji,jj) <= 0. ) THEN |
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| 180 | Grid%bathy_meter(ji,jj) = 0.e0 |
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| 181 | ELSE |
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| 182 | Grid%bathy_meter(ji,jj) = MAX( Grid%bathy_meter(ji,jj), zmin ) |
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| 183 | Grid%bathy_meter(ji,jj) = MIN( Grid%bathy_meter(ji,jj), zmax ) |
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| 184 | ENDIF |
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| 185 | END DO |
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| 186 | END DO |
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| 187 | ! |
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| 188 | ! |
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| 189 | ! |
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| 190 | DO j = 1,jpj |
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| 191 | DO i = 1,jpi |
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| 192 | ! |
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| 193 | IF (Grid%bathy_meter(i,j) .EQ. 0.0 ) THEN |
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| 194 | Grid%bathy_level(i,j)=0. |
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| 195 | ELSE |
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| 196 | ! |
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| 197 | k1=4 |
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| 198 | DO WHILE (k1 .LT. (N-1)) |
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| 199 | IF ((Grid%bathy_meter(i,j).GE.gdepw(k1)) & |
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| 200 | .AND.(Grid%bathy_meter(i,j).LE.gdepw(k1+1))) EXIT |
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| 201 | k1=k1+1 |
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| 202 | END DO |
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| 203 | Grid%bathy_level(i,j)=k1 |
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| 204 | ! |
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| 205 | ENDIF |
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| 206 | ! |
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| 207 | END DO |
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| 208 | END DO |
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| 209 | ! |
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| 210 | END SUBROUTINE meter_to_levels |
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| 211 | ! |
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| 212 | !! |
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| 213 | !**************************************************************** |
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| 214 | ! subroutine levels_to_meter * |
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| 215 | ! * |
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| 216 | ! subroutine to convert bathymetry in meters to bathymetry * |
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| 217 | ! in vertical levels * |
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| 218 | ! * |
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| 219 | ! - input/output : * |
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| 220 | ! Grid : grid where conversion is required * |
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| 221 | ! * |
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| 222 | !various input parameters come from namelist.input files * |
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| 223 | !**************************************************************** |
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| 224 | ! |
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| 225 | SUBROUTINE levels_to_meter(Grid) |
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| 226 | ! |
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| 227 | IMPLICIT NONE |
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| 228 | ! |
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| 229 | REAL*8 :: za1,za0,zsur,zacr,zkth,zmin,zmax |
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| 230 | TYPE(Coordinates) :: Grid |
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| 231 | INTEGER :: i,j |
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| 232 | INTEGER, DIMENSION(1) :: k |
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| 233 | INTEGER :: k1,ji,jj,jpi,jpj |
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| 234 | REAL*8, POINTER, DIMENSION(:) :: gdepw,gdept,e3w,e3t |
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| 235 | ! |
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| 236 | WRITE(*,*) 'convert bathymetry in meters for smoothing' |
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| 237 | ! |
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| 238 | jpi = SIZE(Grid%bathy_level,1) |
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| 239 | jpj = SIZE(Grid%bathy_level,2) |
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| 240 | ! |
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| 241 | ! |
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| 242 | IF ( ( pa0 == 0 .OR. pa1 == 0 .OR. psur == 0 ) & |
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| 243 | .AND. ppdzmin.NE.0 .AND. pphmax.NE.0 ) THEN |
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| 244 | ! |
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| 245 | za1=( ppdzmin - pphmax / (N-1) ) & |
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| 246 | / ( TANH((1-ppkth)/ppacr) - ppacr/(N-1) & |
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| 247 | * ( LOG( COSH( (N - ppkth) / ppacr) ) & |
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| 248 | - LOG( COSH( ( 1 - ppkth) / ppacr) ) ) ) |
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| 249 | |
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| 250 | za0 = ppdzmin - za1 * TANH( (1-ppkth) / ppacr ) |
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| 251 | zsur = - za0 - za1 * ppacr * LOG( COSH( (1-ppkth) / ppacr ) ) |
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| 252 | ! |
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| 253 | ELSE IF ( (ppdzmin == 0 .OR. pphmax == 0) .AND. psur.NE.0 .AND. & |
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| 254 | pa0.NE.0 .AND. pa1.NE.0 ) THEN |
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| 255 | ! |
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| 256 | zsur = psur |
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| 257 | za0 = pa0 |
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| 258 | za1 = pa1 |
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| 259 | ! |
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| 260 | ELSE |
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| 261 | ! |
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| 262 | WRITE(*,*) 'ERROR ***** bad vertical grid parameters ...' |
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| 263 | WRITE(*,*) ' ' |
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| 264 | WRITE(*,*) 'please check values of variables' |
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| 265 | WRITE(*,*) 'in namelist vertical_grid section' |
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| 266 | WRITE(*,*) ' ' |
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| 267 | STOP |
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| 268 | ! |
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| 269 | ENDIF |
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| 270 | ! |
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| 271 | zacr = ppacr |
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| 272 | zkth = ppkth |
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| 273 | |
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| 274 | ! |
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| 275 | ALLOCATE(gdepw(N),gdept(N),e3w(N),e3t(N)) |
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| 276 | ! |
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| 277 | DO i = 1,N |
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| 278 | ! |
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| 279 | gdepw(i) = (zsur+za0*i+za1*zacr*LOG(COSH((i-zkth)/zacr))) |
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| 280 | gdept(i) = (zsur+za0*(i+0.5)+za1*zacr*LOG(COSH(((i+0.5)-zkth)/zacr))) |
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| 281 | e3w(i) = (za0 + za1 * TANH((i-zkth)/zacr)) |
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| 282 | e3t(i) = (za0 + za1 * TANH(((i+0.5)-zkth)/zacr)) |
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| 283 | END DO |
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| 284 | ! |
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| 285 | gdepw(1) = 0.0 |
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| 286 | ! |
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| 287 | IF(.NOT. ASSOCIATED(Grid%bathy_meter)) THEN |
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| 288 | ALLOCATE(Grid%bathy_meter(jpi,jpj)) |
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| 289 | ELSE |
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| 290 | IF( ANY(SHAPE(Grid%bathy_meter)/=(/jpi,jpj/)) ) THEN |
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| 291 | DEALLOCATE(Grid%bathy_meter) |
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| 292 | ALLOCATE(Grid%bathy_meter(jpi,jpj)) |
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| 293 | ENDIF |
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| 294 | ENDIF |
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| 295 | ! |
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| 296 | DO jj = 1, jpj |
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| 297 | DO ji= 1, jpi |
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| 298 | ! |
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| 299 | Grid%bathy_meter(ji,jj) = gdepw( INT( Grid%bathy_level(ji,jj) ) + 1 ) |
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| 300 | ! |
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| 301 | END DO |
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| 302 | END DO |
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| 303 | ! |
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| 304 | END SUBROUTINE levels_to_meter |
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| 305 | ! |
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| 306 | |
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| 307 | !**************************************************************** |
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| 308 | ! subroutine smooth_topo * |
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| 309 | ! * |
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| 310 | ! subroutine to smooth a given bathymetry (in meters) * |
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| 311 | ! hanning filter is used (smoothing criterion : rfactor) * |
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| 312 | ! * |
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| 313 | ! - input/output : * |
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| 314 | ! h : bathymetry * |
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| 315 | ! * |
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| 316 | !various input parameters are stored in namelist.input files * |
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| 317 | !**************************************************************** |
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| 318 | ! |
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| 319 | SUBROUTINE smooth_topo(h,nbiter) |
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| 320 | ! |
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| 321 | IMPLICIT NONE |
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| 322 | ! |
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| 323 | REAL*8, DIMENSION(:,:) :: h |
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| 324 | REAL*8 :: hmin,cff,nu,r |
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| 325 | REAL*8, DIMENSION(:,:), ALLOCATABLE :: rx,ry,cx,cy,f_x,f_y |
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| 326 | INTEGER :: Mm,Mmm,Lm,Lmm,M,L,nbiter,i,j |
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| 327 | REAL*8,DIMENSION(:,:),ALLOCATABLE :: maskedtopo |
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| 328 | ! |
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| 329 | M = SIZE(h,1) |
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| 330 | L = SIZE(h,2) |
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| 331 | ! |
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| 332 | ALLOCATE(cx(M,L),cy(M,L)) |
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| 333 | ALLOCATE(rx(M,L),ry(M,L)) |
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| 334 | ALLOCATE(f_x(M,L),f_y(M,L)) |
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| 335 | ALLOCATE(maskedtopo(M,L)) |
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| 336 | ! |
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| 337 | WRITE(*,*) '' |
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| 338 | WRITE(*,*) 'smooth the topography (Hanning filter)' |
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| 339 | WRITE(*,*) 'slope parameter = ',smoothing_factor |
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| 340 | ! |
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| 341 | hmin = 1.1 |
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| 342 | WHERE(h <= hmin) |
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| 343 | h = hmin |
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| 344 | END WHERE |
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| 345 | ! |
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| 346 | WHERE (h == hmin) |
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| 347 | maskedtopo = 0. |
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| 348 | ELSEWHERE |
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| 349 | maskedtopo = 1. |
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| 350 | END WHERE |
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| 351 | ! |
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| 352 | Mm = M-1 |
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| 353 | Mmm = Mm - 1 |
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| 354 | Lm = L-1 |
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| 355 | Lmm = Lm - 1 |
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| 356 | cff = 0.8 |
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| 357 | nu = 3.0/16.0 |
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| 358 | rx=0. |
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| 359 | ry=0. |
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| 360 | CALL rfact(h,rx,ry,maskedtopo) |
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| 361 | r = MAX(MAXVAL(rx),MAXVAL(ry)) |
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| 362 | h = LOG(h) |
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| 363 | nbiter = 0 |
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| 364 | ! |
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| 365 | DO WHILE (r.GT.smoothing_factor .AND. nbiter < 500 ) |
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| 366 | ! |
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| 367 | nbiter=nbiter+1 |
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| 368 | WHERE(rx > cff*smoothing_factor) |
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| 369 | cx = 1 |
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| 370 | ELSEWHERE |
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| 371 | cx = 0 |
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| 372 | END WHERE |
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| 373 | CALL hanningx(cx,maskedtopo) |
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| 374 | WHERE(ry > cff*smoothing_factor) |
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| 375 | cy = 1 |
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| 376 | ELSEWHERE |
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| 377 | cy = 0 |
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| 378 | END WHERE |
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| 379 | CALL hanningy(cy,maskedtopo) |
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| 380 | CALL FX(h,f_x,cx,maskedtopo) |
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| 381 | CALL FY(h,f_y,cy,maskedtopo) |
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| 382 | h(2:Mm,2:Lm) = h(2:Mm,2:Lm) + maskedtopo(2:Mm,2:Lm)*nu * & |
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| 383 | ((f_x(2:Mm,3:L)-f_x(2:Mm,2:Lm)) + & |
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| 384 | (f_y(3:M,2:Lm)-f_y(2:Mm,2:Lm))) |
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| 385 | CALL rfact(EXP(h),rx,ry,maskedtopo) |
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| 386 | r = MAX(MAXVAL(rx(2:Mm,2:L)),MAXVAL(ry(2:M,2:Lm))) |
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| 387 | ! |
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| 388 | END DO |
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| 389 | ! |
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| 390 | WRITE(*,*) 'iterations = ',nbiter |
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| 391 | WRITE(*,*) '' |
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| 392 | h = EXP(h) |
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| 393 | WHERE( ABS(h-hmin) <= 0.001 ) |
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| 394 | h = 0. |
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| 395 | END WHERE |
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| 396 | DEALLOCATE(rx,ry,cx,cy,f_x,f_y,maskedtopo) |
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| 397 | ! |
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| 398 | END SUBROUTINE smooth_topo |
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| 399 | ! |
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| 400 | !************************************************************************ |
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| 401 | ! subroutine hanning(bathy_meter) |
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| 402 | !************************************************************************ |
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| 403 | ! |
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| 404 | SUBROUTINE hanning(h,maskedtopo) |
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| 405 | ! |
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| 406 | IMPLICIT NONE |
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| 407 | ! |
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| 408 | REAL*8, DIMENSION(:,:) :: h,maskedtopo |
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| 409 | ! |
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| 410 | INTEGER :: Mm,Mmm,Lm,Lmm,M,L |
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| 411 | ! |
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| 412 | M = SIZE(h,1) |
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| 413 | L = SIZE(h,2) |
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| 414 | Mm = M-1 |
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| 415 | Mmm = Mm - 1 |
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| 416 | Lm = L-1 |
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| 417 | Lmm = Lm - 1 |
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| 418 | ! |
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| 419 | h(2:Mm,2:Lm) = maskedtopo(2:Mm,2:Lm)*0.125*( h(1:Mmm,2:Lm) + & |
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| 420 | h(3:M,2:Lm) + & |
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| 421 | h(2:Mm,1:Lmm) + & |
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| 422 | h(2:Mm,3:L) + & |
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| 423 | 4*h(2:Mm,2:Lm))+(1.-maskedtopo(2:Mm,2:Lm))*h(2:Mm,2:Lm) |
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| 424 | ! |
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| 425 | END SUBROUTINE hanning |
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| 426 | ! |
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| 427 | !************************************************************************ |
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| 428 | ! subroutine hanningx(bathy_meter) |
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| 429 | !************************************************************************ |
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| 430 | ! |
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| 431 | SUBROUTINE hanningx(h,maskedtopo) |
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| 432 | ! |
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| 433 | IMPLICIT NONE |
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| 434 | ! |
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| 435 | REAL*8, DIMENSION(:,:) :: h,maskedtopo |
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| 436 | REAL*8, DIMENSION(:,:), ALLOCATABLE :: htemp |
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| 437 | ! |
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| 438 | INTEGER :: Mm,Mmm,Lm,Lmm,M,L |
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| 439 | INTEGER :: i,j |
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| 440 | ! |
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| 441 | M = SIZE(h,1) |
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| 442 | L = SIZE(h,2) |
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| 443 | Mm = M-1 |
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| 444 | Mmm = Mm - 1 |
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| 445 | Lm = L-1 |
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| 446 | Lmm = Lm - 1 |
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| 447 | |
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| 448 | ALLOCATE(htemp(M,L)) |
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| 449 | ! |
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| 450 | htemp = h |
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| 451 | DO j=3,Lm |
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| 452 | DO i=2,Mm |
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| 453 | IF ((maskedtopo(i,j)*maskedtopo(i,j-1)) .NE.0.) THEN |
---|
| 454 | h(i,j)=0.125*(htemp(i-1,j)+htemp(i+1,j) & |
---|
| 455 | +htemp(i,j+1)+htemp(i,j-1)+4.*htemp(i,j)) |
---|
| 456 | ENDIF |
---|
| 457 | ENDDO |
---|
| 458 | ENDDO |
---|
| 459 | j=2 |
---|
| 460 | DO i=2,Mm |
---|
| 461 | IF ((maskedtopo(i,j)*maskedtopo(i,j-1)) .NE.0.) THEN |
---|
| 462 | h(i,j)=0.25*(htemp(i+1,j)+htemp(i-1,j)+2.*htemp(i,j)) |
---|
| 463 | ENDIF |
---|
| 464 | ENDDO |
---|
| 465 | j=L |
---|
| 466 | DO i=2,Mm |
---|
| 467 | IF ((maskedtopo(i,j)*maskedtopo(i,j-1)) .NE.0.) THEN |
---|
| 468 | h(i,j)=0.25*(htemp(i+1,j)+htemp(i-1,j)+2.*htemp(i,j)) |
---|
| 469 | ENDIF |
---|
| 470 | ENDDO |
---|
| 471 | DEALLOCATE(htemp) |
---|
| 472 | ! |
---|
| 473 | END SUBROUTINE hanningx |
---|
| 474 | |
---|
| 475 | !************************************************************************ |
---|
| 476 | ! subroutine hanning(bathy_meter) |
---|
| 477 | !************************************************************************ |
---|
| 478 | ! |
---|
| 479 | SUBROUTINE hanningy(h,maskedtopo) |
---|
| 480 | ! |
---|
| 481 | IMPLICIT NONE |
---|
| 482 | ! |
---|
| 483 | REAL*8, DIMENSION(:,:) :: h,maskedtopo |
---|
| 484 | REAL*8, DIMENSION(:,:), ALLOCATABLE :: htemp |
---|
| 485 | ! |
---|
| 486 | INTEGER :: Mm,Mmm,Lm,Lmm,M,L |
---|
| 487 | INTEGER :: i,j |
---|
| 488 | ! |
---|
| 489 | M = SIZE(h,1) |
---|
| 490 | L = SIZE(h,2) |
---|
| 491 | Mm = M-1 |
---|
| 492 | Mmm = Mm - 1 |
---|
| 493 | Lm = L-1 |
---|
| 494 | Lmm = Lm - 1 |
---|
| 495 | ALLOCATE(htemp(M,L)) |
---|
| 496 | ! |
---|
| 497 | htemp = h |
---|
| 498 | |
---|
| 499 | DO j=2,Lm |
---|
| 500 | DO i=3,Mm |
---|
| 501 | IF ((maskedtopo(i,j)*maskedtopo(i-1,j)) .NE.0.) THEN |
---|
| 502 | h(i,j)=0.125*(htemp(i-1,j)+htemp(i+1,j) & |
---|
| 503 | +htemp(i,j+1)+htemp(i,j-1)+4.*htemp(i,j)) |
---|
| 504 | ENDIF |
---|
| 505 | ENDDO |
---|
| 506 | ENDDO |
---|
| 507 | |
---|
| 508 | i=2 |
---|
| 509 | DO j=2,Lm |
---|
| 510 | IF ((maskedtopo(i,j)*maskedtopo(i-1,j)) .NE.0.) THEN |
---|
| 511 | h(i,j)=0.25*(htemp(i,j+1)+htemp(i,j-1)+2.*htemp(i,j)) |
---|
| 512 | ENDIF |
---|
| 513 | ENDDO |
---|
| 514 | |
---|
| 515 | i=M |
---|
| 516 | DO j=2,Lm |
---|
| 517 | IF ((maskedtopo(i,j)*maskedtopo(i-1,j)) .NE.0.) THEN |
---|
| 518 | h(i,j)=0.25*(htemp(i,j+1)+htemp(i,j-1)+2.*htemp(i,j)) |
---|
| 519 | ENDIF |
---|
| 520 | ENDDO |
---|
| 521 | |
---|
| 522 | DEALLOCATE(htemp) |
---|
| 523 | ! |
---|
| 524 | END SUBROUTINE hanningy |
---|
| 525 | |
---|
| 526 | ! |
---|
| 527 | !************************************************************************ |
---|
| 528 | ! subroutine FX(bathy_meter,fx) |
---|
| 529 | !************************************************************************ |
---|
| 530 | ! |
---|
| 531 | SUBROUTINE FX(h,f,c,maskedtopo) |
---|
| 532 | ! |
---|
| 533 | IMPLICIT NONE |
---|
| 534 | ! |
---|
| 535 | REAL*8, DIMENSION(:,:) :: h,c |
---|
| 536 | REAL*8, DIMENSION(:,:) :: f,maskedtopo |
---|
| 537 | REAL*8, DIMENSION(SIZE(h,1),SIZE(h,2)) :: floc |
---|
| 538 | ! |
---|
| 539 | INTEGER :: Mm,Mmm,Lm,Lmm,M,L,i,j |
---|
| 540 | ! |
---|
| 541 | f = 0.0 |
---|
| 542 | M = SIZE(h,1) |
---|
| 543 | L = SIZE(h,2) |
---|
| 544 | Mm = M-1 |
---|
| 545 | Mmm = Mm - 1 |
---|
| 546 | Lm = L-1 |
---|
| 547 | Lmm = Lm - 1 |
---|
| 548 | floc = 0. |
---|
| 549 | |
---|
| 550 | DO j=2,L |
---|
| 551 | DO i=1,M |
---|
| 552 | |
---|
| 553 | IF ((maskedtopo(i,j)*maskedtopo(i,j-1)).EQ.0.) THEN |
---|
| 554 | floc(i,j)=0. |
---|
| 555 | ELSEIF ((i.EQ.1).OR.(i.EQ.M)) THEN |
---|
| 556 | floc(i,j)=(7./12.)*(h(i,j)-h(i,j-1)) |
---|
| 557 | ELSEIF ((maskedtopo(i-1,j)*maskedtopo(i-1,j-1)).EQ.0.) THEN |
---|
| 558 | floc(i,j)=(7./12.)*(h(i,j)-h(i,j-1)) |
---|
| 559 | ELSEIF ((maskedtopo(i+1,j)*maskedtopo(i+1,j-1)).EQ.0.) THEN |
---|
| 560 | floc(i,j)=(7./12.)*(h(i,j)-h(i,j-1)) |
---|
| 561 | ELSE |
---|
| 562 | floc(i,j)=(5./12.)*(h(i,j)-h(i,j-1)) & |
---|
| 563 | +(1./12.)*(h(i-1,j)-h(i-1,j-1)+h(i+1,j)-h(i+1,j-1)) |
---|
| 564 | ENDIF |
---|
| 565 | ENDDO |
---|
| 566 | ENDDO |
---|
| 567 | ! |
---|
| 568 | DO j = 1,L |
---|
| 569 | DO i = 1,M |
---|
| 570 | f(i,j) = c(i,j)*floc(i,j) |
---|
| 571 | END DO |
---|
| 572 | END DO |
---|
| 573 | ! |
---|
| 574 | ! |
---|
| 575 | END SUBROUTINE FX |
---|
| 576 | ! |
---|
| 577 | ! |
---|
| 578 | ! |
---|
| 579 | !************************************************************************ |
---|
| 580 | ! subroutine FY(bathy_meter,fy) |
---|
| 581 | !************************************************************************ |
---|
| 582 | ! |
---|
| 583 | SUBROUTINE FY(h,f,c,maskedtopo) |
---|
| 584 | ! |
---|
| 585 | IMPLICIT NONE |
---|
| 586 | ! |
---|
| 587 | REAL*8, DIMENSION(:,:) :: h,c |
---|
| 588 | REAL*8, DIMENSION(:,:) :: f,maskedtopo |
---|
| 589 | REAL*8, DIMENSION(SIZE(h,1),SIZE(h,2)) :: floc |
---|
| 590 | INTEGER :: Mm,Mmm,Lm,Lmm,M,L,i,j |
---|
| 591 | f=0.0 |
---|
| 592 | ! |
---|
| 593 | M = SIZE(h,1) |
---|
| 594 | L = SIZE(h,2) |
---|
| 595 | Mm = M-1 |
---|
| 596 | Mmm = Mm - 1 |
---|
| 597 | Lm = L-1 |
---|
| 598 | Lmm = Lm - 1 |
---|
| 599 | ! |
---|
| 600 | floc = 0. |
---|
| 601 | |
---|
| 602 | DO j=1,L |
---|
| 603 | DO i=2,M |
---|
| 604 | IF ((maskedtopo(i,j)*maskedtopo(i-1,j)).EQ.0.) THEN |
---|
| 605 | floc(i,j) = 0. |
---|
| 606 | ELSEIF ((j.EQ.1).OR.(j.EQ.L)) THEN |
---|
| 607 | floc(i,j)=(7./12.)*(h(i,j)-h(i-1,j)) |
---|
| 608 | ELSEIF ((maskedtopo(i,j-1)*maskedtopo(i-1,j-1)).EQ.0.) THEN |
---|
| 609 | floc(i,j)=(7./12.)*(h(i,j)-h(i-1,j)) |
---|
| 610 | ELSEIF ((maskedtopo(i,j+1)*maskedtopo(i-1,j+1)).EQ.0.) THEN |
---|
| 611 | floc(i,j)=(7./12.)*(h(i,j)-h(i-1,j)) |
---|
| 612 | ELSE |
---|
| 613 | floc(i,j)=(5./12.)*(h(i,j)-h(i-1,j)) & |
---|
| 614 | +(1./12.)*(h(i,j-1)-h(i-1,j-1)+h(i,j+1)-h(i-1,j+1)) |
---|
| 615 | ENDIF |
---|
| 616 | ENDDO |
---|
| 617 | ENDDO |
---|
| 618 | ! |
---|
| 619 | DO j = 1,L |
---|
| 620 | DO i = 1,M |
---|
| 621 | f(i,j) = c(i,j)*floc(i,j) |
---|
| 622 | END DO |
---|
| 623 | END DO |
---|
| 624 | ! |
---|
| 625 | END SUBROUTINE FY |
---|
| 626 | ! |
---|
| 627 | ! |
---|
| 628 | !**************************************************************** |
---|
| 629 | ! subroutine rfact * |
---|
| 630 | ! * |
---|
| 631 | ! subroutine to check if smoothing criterion * |
---|
| 632 | ! is verified everywhere * |
---|
| 633 | ! * |
---|
| 634 | ! - input : * |
---|
| 635 | ! h : bathymetry * |
---|
| 636 | ! - ouput : * |
---|
| 637 | ! rx,ry : delta(theta)/theta in x and y directions * |
---|
| 638 | !**************************************************************** |
---|
| 639 | ! |
---|
| 640 | SUBROUTINE rfact(h,rx,ry,maskedtopo) |
---|
| 641 | ! |
---|
| 642 | IMPLICIT NONE |
---|
| 643 | ! |
---|
| 644 | REAL*8, DIMENSION(:,:) :: h |
---|
| 645 | REAL*8, DIMENSION(:,:) :: rx,ry |
---|
| 646 | REAL*8, DIMENSION(:,:) :: maskedtopo |
---|
| 647 | INTEGER M,L,i,j,Mm,Mmm,Lm,Lmm |
---|
| 648 | ! |
---|
| 649 | M = SIZE(h,1) |
---|
| 650 | L = SIZE(h,2) |
---|
| 651 | Mm = M-1 |
---|
| 652 | Mmm = Mm - 1 |
---|
| 653 | Lm = L-1 |
---|
| 654 | Lmm = Lm - 1 |
---|
| 655 | ! |
---|
| 656 | rx=0. |
---|
| 657 | ry=0. |
---|
| 658 | ! |
---|
| 659 | DO j=2,L |
---|
| 660 | DO i=1,M |
---|
| 661 | rx(i,j) = ABS(h(i,j)-h(i,j-1))/(h(i,j)+h(i,j-1)) |
---|
| 662 | IF ((maskedtopo(i,j)*maskedtopo(i,j-1)) .EQ.0.) THEN |
---|
| 663 | rx(i,j)=0. |
---|
| 664 | ENDIF |
---|
| 665 | ENDDO |
---|
| 666 | ENDDO |
---|
| 667 | ! |
---|
| 668 | DO j=1,L |
---|
| 669 | DO i=2,M |
---|
| 670 | ry(i,j) = ABS(h(i,j)-h(i-1,j))/(h(i,j)+h(i-1,j)) |
---|
| 671 | IF ((maskedtopo(i,j)*maskedtopo(i-1,j)) .EQ.0.) THEN |
---|
| 672 | ry(i,j)=0. |
---|
| 673 | ENDIF |
---|
| 674 | ENDDO |
---|
| 675 | ENDDO |
---|
| 676 | ! |
---|
| 677 | END SUBROUTINE rfact |
---|
| 678 | ! |
---|
| 679 | ! |
---|
| 680 | !**************************************************************** |
---|
| 681 | ! subroutine Update_Parent_Bathy * |
---|
| 682 | ! * |
---|
| 683 | ! (if desired) subroutine to update parent grid bathymetry * |
---|
| 684 | ! for consistency with fine grid bathymetry * |
---|
| 685 | ! * |
---|
| 686 | ! if a given coarse grid point is masked and one of the * |
---|
| 687 | ! child grid points contained in this coarse cell is not masked * |
---|
| 688 | ! the corresponding coarse grid point is unmasked with gdepw(4) * |
---|
| 689 | ! value * |
---|
| 690 | ! * |
---|
| 691 | ! - input : * |
---|
| 692 | ! G0,G1 : both grids involved * |
---|
| 693 | ! - ouput : * |
---|
| 694 | ! G0 parent grid containing updated bathymetry * |
---|
| 695 | !**************************************************************** |
---|
| 696 | ! |
---|
| 697 | ! |
---|
| 698 | SUBROUTINE Update_Parent_Bathy( G0,G1 ) |
---|
| 699 | ! |
---|
| 700 | IMPLICIT NONE |
---|
| 701 | |
---|
| 702 | TYPE(coordinates) :: G0,G1 |
---|
| 703 | INTEGER :: ji,jj,jk,ipt,jpt,diff,indx,indy,bornex,borney,bornex2,borney2 |
---|
| 704 | ! |
---|
| 705 | INTEGER :: ideb,jdeb,ifin,jfin |
---|
| 706 | REAL*8 :: za1,za0,zsur,zacr,zkth,zmin |
---|
| 707 | INTEGER :: i,j |
---|
| 708 | INTEGER :: k1 |
---|
| 709 | INTEGER :: compt |
---|
| 710 | REAL*8, POINTER, DIMENSION(:) :: gdepw,gdept,e3w,e3t |
---|
| 711 | ! |
---|
| 712 | IF ( ( pa0 == 0 .OR. pa1 == 0 .OR. psur == 0 ) & |
---|
| 713 | .AND. ppdzmin.NE.0 .AND. pphmax.NE.0 ) THEN |
---|
| 714 | ! |
---|
| 715 | za1=( ppdzmin - pphmax / (N-1) ) & |
---|
| 716 | / ( TANH((1-ppkth)/ppacr) - ppacr/(N-1) & |
---|
| 717 | * ( LOG( COSH( (N - ppkth) / ppacr) ) & |
---|
| 718 | - LOG( COSH( ( 1 - ppkth) / ppacr) ) ) ) |
---|
| 719 | |
---|
| 720 | za0 = ppdzmin - za1 * TANH( (1-ppkth) / ppacr ) |
---|
| 721 | zsur = - za0 - za1 * ppacr * LOG( COSH( (1-ppkth) / ppacr ) ) |
---|
| 722 | ! |
---|
| 723 | ELSE IF ( (ppdzmin == 0 .OR. pphmax == 0) .AND. psur.NE.0 .AND. & |
---|
| 724 | pa0.NE.0 .AND. pa1.NE.0 ) THEN |
---|
| 725 | ! |
---|
| 726 | zsur = psur |
---|
| 727 | za0 = pa0 |
---|
| 728 | za1 = pa1 |
---|
| 729 | ! |
---|
| 730 | ELSE |
---|
| 731 | ! |
---|
| 732 | WRITE(*,*) 'ERROR ***** bad vertical grid parameters ...' |
---|
| 733 | WRITE(*,*) ' ' |
---|
| 734 | WRITE(*,*) 'please check values of variables' |
---|
| 735 | WRITE(*,*) 'in namelist vertical_grid section' |
---|
| 736 | WRITE(*,*) ' ' |
---|
| 737 | STOP |
---|
| 738 | ! |
---|
| 739 | ENDIF |
---|
| 740 | |
---|
| 741 | zacr = ppacr |
---|
| 742 | zkth = ppkth |
---|
| 743 | |
---|
| 744 | ! |
---|
| 745 | ALLOCATE(gdepw(N),gdept(N),e3w(N),e3t(N)) |
---|
| 746 | ! |
---|
| 747 | DO i = 1,N |
---|
| 748 | ! |
---|
| 749 | gdepw(i) = (zsur+za0*i+za1*zacr*LOG(COSH((i-zkth)/zacr))) |
---|
| 750 | gdept(i) = (zsur+za0*(i+0.5)+za1*zacr*LOG(COSH(((i+0.5)-zkth)/zacr))) |
---|
| 751 | e3w(i) = (za0 + za1 * TANH((i-zkth)/zacr)) |
---|
| 752 | e3t(i) = (za0 + za1 * TANH(((i+0.5)-zkth)/zacr)) |
---|
| 753 | END DO |
---|
| 754 | ! |
---|
| 755 | zmin = gdepw(4) |
---|
| 756 | ! |
---|
| 757 | diff = 0 |
---|
| 758 | IF(MOD(rho,2) .EQ. 0) diff = 1 |
---|
| 759 | |
---|
| 760 | ideb = 3 + (irafx - 1)/2 |
---|
| 761 | jdeb = 3 + (irafy - 1)/2 |
---|
| 762 | |
---|
| 763 | jfin = nyfin - 2 - (irafy)/2 |
---|
| 764 | ifin = nxfin - 2 - (irafx)/2 |
---|
| 765 | ! |
---|
| 766 | WRITE(*,*) '---------------------------------' |
---|
| 767 | WRITE(*,*) 'Parent grid bathymetry update ...' |
---|
| 768 | compt = 0 |
---|
| 769 | ! |
---|
| 770 | DO jj = jdeb,jfin,irafy |
---|
| 771 | jpt = jmin + 3 - 1 + (jj - jdeb) / irafy |
---|
| 772 | DO ji = ideb,ifin,irafx |
---|
| 773 | ipt = imin + 3 - 1 + (ji - ideb) / irafx |
---|
| 774 | ! |
---|
| 775 | IF( G0%Bathy_meter(ipt,jpt) .LE. 0. .AND. & |
---|
| 776 | MAXVAL(G1%Bathy_meter(ji-irafx/2+diff:ji+irafx/2, & |
---|
| 777 | jj-irafy/2+diff:jj+irafy/2)).GT. 0. ) THEN |
---|
| 778 | G0%Bathy_meter(ipt,jpt) = zmin |
---|
| 779 | ! |
---|
| 780 | compt = compt + 1 |
---|
| 781 | ! |
---|
| 782 | ENDIF |
---|
| 783 | ! |
---|
| 784 | ENDDO |
---|
| 785 | ENDDO |
---|
| 786 | ! |
---|
| 787 | WRITE(*,*) ' Number of coarse grid points updated = ',compt |
---|
| 788 | WRITE(*,*) '---------------------------------' |
---|
| 789 | ! |
---|
| 790 | END SUBROUTINE Update_Parent_Bathy |
---|
| 791 | |
---|
| 792 | END MODULE agrif_connect_topo |
---|