[6237] | 1 | ! |
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| 2 | ! $Id: modinterpbasic.F90 4779 2014-09-19 14:21:37Z rblod $ |
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| 3 | ! |
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| 4 | ! AGRIF (Adaptive Grid Refinement In Fortran) |
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| 5 | ! |
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| 6 | ! Copyright (C) 2003 Laurent Debreu (Laurent.Debreu@imag.fr) |
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| 7 | ! Christophe Vouland (Christophe.Vouland@imag.fr) |
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| 8 | ! |
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| 9 | ! This program is free software; you can redistribute it and/or modify |
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| 10 | ! it under the terms of the GNU General Public License as published by |
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| 11 | ! the Free Software Foundation; either version 2 of the License, or |
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| 12 | ! (at your option) any later version. |
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| 13 | ! |
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| 14 | ! This program is distributed in the hope that it will be useful, |
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| 15 | ! but WITHOUT ANY WARRANTY; without even the implied warranty of |
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| 16 | ! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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| 17 | ! GNU General Public License for more details. |
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| 18 | ! |
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| 19 | ! You should have received a copy of the GNU General Public License |
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| 20 | ! along with this program; if not, write to the Free Software |
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| 21 | ! Foundation, Inc., 59 Temple Place- Suite 330, Boston, MA 02111-1307, USA. |
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| 22 | ! |
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| 23 | ! |
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| 24 | !> Module Agrif_InterpBasic |
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| 25 | !> |
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| 26 | !> Contains different procedures of interpolation (linear,lagrange, spline,...) used in |
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| 27 | !! the Agrif_Interpolation module. |
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| 28 | ! |
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| 29 | module Agrif_InterpBasic |
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| 30 | ! |
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| 31 | use Agrif_Types |
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| 32 | ! |
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| 33 | implicit none |
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| 34 | ! |
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| 35 | real, dimension(5,Agrif_MaxRaff,3) :: tabppm |
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| 36 | real, dimension(Agrif_MaxRaff) :: tabdiff2, tabdiff3 |
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| 37 | real, dimension(:), allocatable :: tabtest4 |
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| 38 | real, dimension(:,:), allocatable :: coeffparent |
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| 39 | integer, dimension(:,:), allocatable :: indparent |
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| 40 | integer, dimension(:,:), allocatable :: indparentppm, indchildppm |
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| 41 | integer, dimension(:), allocatable :: indparentppm_1d, indchildppm_1d |
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| 42 | ! |
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| 43 | private :: Agrif_limiter_vanleer |
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| 44 | ! |
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| 45 | contains |
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| 46 | ! |
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| 47 | !=================================================================================================== |
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| 48 | ! subroutine Agrif_basicinterp_linear1D |
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| 49 | ! |
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| 50 | !> Linear 1D interpolation on a child grid (vector y) from its parent grid (vector x). |
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| 51 | !--------------------------------------------------------------------------------------------------- |
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| 52 | subroutine Agrif_basicinterp_linear1D ( x, y, np, nc, s_parent, s_child, ds_parent, ds_child ) |
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| 53 | !--------------------------------------------------------------------------------------------------- |
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| 54 | real, dimension(np), intent(in) :: x !< Coarse input data from parent |
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| 55 | real, dimension(nc), intent(out) :: y !< Fine output data to child |
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| 56 | integer, intent(in) :: np !< Length of input array |
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| 57 | integer, intent(in) :: nc !< Length of output array |
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| 58 | real, intent(in) :: s_parent !< Parent grid position (s_root = 0) |
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| 59 | real, intent(in) :: s_child !< Child grid position (s_root = 0) |
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| 60 | real, intent(in) :: ds_parent !< Parent grid dx (ds_root = 1) |
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| 61 | real, intent(in) :: ds_child !< Child grid dx (ds_root = 1) |
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| 62 | ! |
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| 63 | integer :: i, coeffraf, locind_parent_left |
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| 64 | real :: globind_parent_left, globind_parent_right |
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| 65 | real :: invds, invds2, ypos, ypos2, diff |
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| 66 | ! |
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| 67 | coeffraf = nint(ds_parent/ds_child) |
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| 68 | ! |
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| 69 | if ( coeffraf == 1 ) then |
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| 70 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
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| 71 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
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| 72 | return |
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| 73 | endif |
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| 74 | ! |
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| 75 | ypos = s_child |
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| 76 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
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| 77 | globind_parent_left = s_parent + (locind_parent_left - 1)*ds_parent |
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| 78 | globind_parent_right = globind_parent_left + ds_parent |
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| 79 | ! |
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| 80 | invds = 1./ds_parent |
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| 81 | invds2 = ds_child/ds_parent |
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| 82 | ypos2 = ypos*invds |
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| 83 | globind_parent_right = globind_parent_right*invds |
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| 84 | ! |
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| 85 | do i = 1,nc-1 |
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| 86 | ! |
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| 87 | if (ypos2 > globind_parent_right) then |
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| 88 | locind_parent_left = locind_parent_left + 1 |
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| 89 | globind_parent_right = globind_parent_right + 1. |
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| 90 | ypos2 = ypos*invds+(i-1)*invds2 |
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| 91 | endif |
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| 92 | ! |
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| 93 | diff = globind_parent_right - ypos2 |
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| 94 | y(i) = (diff*x(locind_parent_left) + (1.-diff)*x(locind_parent_left+1)) |
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| 95 | ypos2 = ypos2 + invds2 |
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| 96 | ! |
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| 97 | enddo |
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| 98 | ! |
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| 99 | ypos = s_child + (nc-1)*ds_child |
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| 100 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
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| 101 | ! |
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| 102 | if (locind_parent_left == np) then |
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| 103 | y(nc) = x(np) |
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| 104 | else |
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| 105 | globind_parent_left = s_parent + (locind_parent_left - 1)*ds_parent |
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| 106 | y(nc) = ((globind_parent_left + ds_parent - ypos)*x(locind_parent_left) & |
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| 107 | + (ypos - globind_parent_left)*x(locind_parent_left+1))*invds |
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| 108 | endif |
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| 109 | !--------------------------------------------------------------------------------------------------- |
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| 110 | end subroutine Agrif_basicinterp_linear1D |
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| 111 | !=================================================================================================== |
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| 112 | ! |
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| 113 | !=================================================================================================== |
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| 114 | ! subroutine Linear1dPrecompute2d |
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| 115 | ! |
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| 116 | !> Computes 2D coefficients and index for a linear 1D interpolation on a child grid (vector y) |
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| 117 | !! from its parent grid (vector x). |
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| 118 | !--------------------------------------------------------------------------------------------------- |
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| 119 | subroutine Linear1dPrecompute2d ( np2, np, nc, s_parent, s_child, ds_parent, ds_child, dir ) |
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| 120 | !--------------------------------------------------------------------------------------------------- |
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| 121 | integer, intent(in) :: np,nc,np2 |
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| 122 | real, intent(in) :: s_parent, s_child |
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| 123 | real, intent(in) :: ds_parent, ds_child |
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| 124 | integer, intent(in) :: dir |
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| 125 | ! |
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| 126 | integer :: i,coeffraf,locind_parent_left,inc,inc1,inc2 |
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| 127 | integer, dimension(:,:), allocatable :: indparent_tmp |
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| 128 | real, dimension(:,:), allocatable :: coeffparent_tmp |
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| 129 | real :: ypos,globind_parent_left,globind_parent_right |
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| 130 | real :: invds, invds2, invds3 |
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| 131 | real :: ypos2,diff |
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| 132 | ! |
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| 133 | coeffraf = nint(ds_parent/ds_child) |
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| 134 | ! |
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| 135 | ypos = s_child |
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| 136 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
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| 137 | globind_parent_left = s_parent + (locind_parent_left - 1)*ds_parent |
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| 138 | globind_parent_right = globind_parent_left + ds_parent |
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| 139 | ! |
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| 140 | invds = 1./ds_parent |
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| 141 | invds2 = ds_child/ds_parent |
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| 142 | invds3 = 0.5/real(coeffraf) |
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| 143 | ypos2 = ypos*invds |
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| 144 | globind_parent_right=globind_parent_right*invds |
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| 145 | ! |
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| 146 | if (.not.allocated(indparent)) then |
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| 147 | allocate(indparent(nc*np2,3),coeffparent(nc*np2,3)) |
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| 148 | else |
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| 149 | if ( size(indparent,1) < nc*np2 ) then |
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| 150 | allocate(coeffparent_tmp(size(indparent,1),size(indparent,2))) |
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| 151 | allocate( indparent_tmp(size(indparent,1),size(indparent,2))) |
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| 152 | coeffparent_tmp = coeffparent |
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| 153 | indparent_tmp = indparent |
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| 154 | deallocate(indparent,coeffparent) |
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| 155 | allocate(indparent(nc*np2,3),coeffparent(nc*np2,3)) |
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| 156 | coeffparent(1:size(coeffparent_tmp,1),1:size(coeffparent_tmp,2)) = coeffparent_tmp |
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| 157 | indparent( 1:size(indparent_tmp, 1),1:size(indparent_tmp, 2)) = indparent_tmp |
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| 158 | deallocate(indparent_tmp,coeffparent_tmp) |
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| 159 | endif |
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| 160 | endif |
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| 161 | ! |
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| 162 | do i = 1,nc-1 |
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| 163 | ! |
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| 164 | if (ypos2 > globind_parent_right) then |
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| 165 | locind_parent_left = locind_parent_left + 1 |
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| 166 | globind_parent_right = globind_parent_right + 1. |
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| 167 | ypos2 = ypos*invds+(i-1)*invds2 |
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| 168 | endif |
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| 169 | ! |
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| 170 | diff = globind_parent_right - ypos2 |
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| 171 | diff = invds3*nint(2*coeffraf*diff) |
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| 172 | indparent(i,dir) = locind_parent_left |
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| 173 | coeffparent(i,dir) = diff |
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| 174 | ypos2 = ypos2 + invds2 |
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| 175 | ! |
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| 176 | enddo |
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| 177 | ! |
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| 178 | ypos = s_child + (nc-1)*ds_child |
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| 179 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
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| 180 | |
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| 181 | if (locind_parent_left == np) then |
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| 182 | indparent(nc,dir) = locind_parent_left-1 |
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| 183 | coeffparent(nc,dir) = 0. |
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| 184 | else |
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| 185 | globind_parent_left = s_parent + (locind_parent_left - 1)*ds_parent |
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| 186 | indparent(nc,dir) = locind_parent_left |
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| 187 | diff = (globind_parent_left + ds_parent - ypos) * invds |
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| 188 | diff = invds3*nint(2*coeffraf*diff) |
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| 189 | coeffparent(nc,dir) = diff |
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| 190 | endif |
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| 191 | |
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| 192 | do i=2, np2 |
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| 193 | inc = i*nc |
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| 194 | inc1 = (i-1)*nc |
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| 195 | inc2 = (i-2)*nc |
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| 196 | !CDIR ALTCODE |
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| 197 | indparent(1+inc1:inc,dir) = indparent(1+inc2:inc1,dir)+np |
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| 198 | !CDIR ALTCODE |
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| 199 | coeffparent(1+inc1:inc,dir) =coeffparent(1:nc,dir) |
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| 200 | enddo |
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| 201 | !--------------------------------------------------------------------------------------------------- |
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| 202 | end subroutine Linear1dPrecompute2d |
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| 203 | !=================================================================================================== |
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| 204 | ! |
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| 205 | !=================================================================================================== |
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| 206 | ! subroutine Linear1dAfterCompute |
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| 207 | ! |
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| 208 | !> Carries out a linear 1D interpolation on a child grid (vector y) from its parent grid (vector x) |
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| 209 | !! using precomputed coefficient and index. |
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| 210 | !--------------------------------------------------------------------------------------------------- |
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| 211 | subroutine Linear1dAfterCompute ( x, y, np, nc, dir ) |
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| 212 | !--------------------------------------------------------------------------------------------------- |
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| 213 | integer, intent(in) :: np, nc |
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| 214 | real, dimension(np), intent(in) :: x |
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| 215 | real, dimension(nc), intent(out) :: y |
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| 216 | integer, intent(in) :: dir |
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| 217 | ! |
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| 218 | integer :: i |
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| 219 | ! |
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| 220 | !CDIR ALTCODE |
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| 221 | !CDIR NODEP |
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| 222 | do i = 1,nc |
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| 223 | y(i) = coeffparent(i,dir) * x(MAX(indparent(i,dir),1)) + & |
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| 224 | (1.-coeffparent(i,dir)) * x(indparent(i,dir)+1) |
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| 225 | enddo |
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| 226 | !--------------------------------------------------------------------------------------------------- |
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| 227 | end subroutine Linear1dAfterCompute |
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| 228 | !=================================================================================================== |
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| 229 | ! |
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| 230 | !=================================================================================================== |
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| 231 | ! subroutine Lagrange1d |
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| 232 | ! |
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| 233 | !> Carries out a lagrange 1D interpolation on a child grid (vector y) from its parent grid |
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| 234 | !! (vector x). |
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| 235 | !--------------------------------------------------------------------------------------------------- |
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| 236 | subroutine Lagrange1d ( x, y, np, nc, s_parent, s_child, ds_parent, ds_child ) |
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| 237 | !--------------------------------------------------------------------------------------------------- |
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| 238 | integer, intent(in) :: np, nc |
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| 239 | real, dimension(np), intent(in) :: x |
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| 240 | real, dimension(nc), intent(out) :: y |
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| 241 | real, intent(in) :: s_parent, s_child |
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| 242 | real, intent(in) :: ds_parent, ds_child |
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| 243 | ! |
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| 244 | integer :: i, coeffraf, locind_parent_left |
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| 245 | real :: ypos,globind_parent_left |
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| 246 | real :: deltax, invdsparent |
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| 247 | real :: t2,t3,t4,t5,t6,t7,t8 |
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| 248 | ! |
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| 249 | if (np <= 2) then |
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| 250 | call Agrif_basicinterp_linear1D(x,y,np,nc,s_parent,s_child,ds_parent,ds_child) |
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| 251 | return |
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| 252 | endif |
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| 253 | ! |
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| 254 | coeffraf = nint(ds_parent/ds_child) |
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| 255 | ! |
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| 256 | if (coeffraf == 1) then |
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| 257 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
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| 258 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
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| 259 | return |
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| 260 | endif |
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| 261 | ! |
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| 262 | invdsparent = 1./ds_parent |
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| 263 | ypos = s_child |
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| 264 | ! |
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| 265 | do i = 1,nc |
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| 266 | ! |
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| 267 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
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| 268 | globind_parent_left = s_parent + (locind_parent_left - 1)*ds_parent |
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| 269 | |
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| 270 | deltax = invdsparent*(ypos-globind_parent_left) |
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| 271 | deltax = nint(coeffraf*deltax)/real(coeffraf) |
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| 272 | |
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| 273 | ypos = ypos + ds_child |
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| 274 | if (abs(deltax) <= 0.0001) then |
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| 275 | y(i)=x(locind_parent_left) |
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| 276 | cycle |
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| 277 | endif |
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| 278 | ! |
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| 279 | t2 = deltax - 2. |
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| 280 | t3 = deltax - 1. |
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| 281 | t4 = deltax + 1. |
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| 282 | |
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| 283 | t5 = -(1./6.)*deltax*t2*t3 |
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| 284 | t6 = 0.5*t2*t3*t4 |
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| 285 | t7 = -0.5*deltax*t2*t4 |
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| 286 | t8 = (1./6.)*deltax*t3*t4 |
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| 287 | |
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| 288 | y(i) = t5*x(locind_parent_left-1) + t6*x(locind_parent_left) & |
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| 289 | +t7*x(locind_parent_left+1) + t8*x(locind_parent_left+2) |
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| 290 | ! |
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| 291 | enddo |
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| 292 | !--------------------------------------------------------------------------------------------------- |
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| 293 | end subroutine Lagrange1d |
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| 294 | !=================================================================================================== |
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| 295 | ! |
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| 296 | !=================================================================================================== |
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| 297 | ! subroutine Constant1d |
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| 298 | ! |
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| 299 | !> Carries out a constant 1D interpolation on a child grid (vector y) from its parent grid (vector x). |
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| 300 | !--------------------------------------------------------------------------------------------------- |
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| 301 | subroutine Constant1d ( x, y, np, nc, s_parent, s_child, ds_parent, ds_child ) |
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| 302 | !--------------------------------------------------------------------------------------------------- |
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| 303 | integer, intent(in) :: np, nc |
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| 304 | real, dimension(np), intent(in) :: x |
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| 305 | real, dimension(nc), intent(out) :: y |
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| 306 | real, intent(in) :: s_parent, s_child |
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| 307 | real, intent(in) :: ds_parent, ds_child |
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| 308 | ! |
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| 309 | integer :: i, coeffraf, locind_parent |
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| 310 | real :: ypos |
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| 311 | ! |
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| 312 | coeffraf = nint(ds_parent/ds_child) |
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| 313 | ! |
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| 314 | if (coeffraf == 1) then |
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| 315 | locind_parent = 1 + nint((s_child - s_parent)/ds_parent) |
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| 316 | y(1:nc) = x(locind_parent:locind_parent+nc-1) |
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| 317 | return |
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| 318 | endif |
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| 319 | ! |
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| 320 | ypos = s_child |
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| 321 | ! |
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| 322 | do i = 1,nc |
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| 323 | ! |
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| 324 | locind_parent = 1 + nint((ypos - s_parent)/ds_parent) |
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| 325 | y(i) = x(locind_parent) |
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| 326 | ypos = ypos + ds_child |
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| 327 | ! |
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| 328 | enddo |
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| 329 | !--------------------------------------------------------------------------------------------------- |
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| 330 | end subroutine Constant1d |
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| 331 | !=================================================================================================== |
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| 332 | ! |
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| 333 | !=================================================================================================== |
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| 334 | ! subroutine Linear1dConserv |
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| 335 | ! |
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| 336 | !> Carries out a conservative linear 1D interpolation on a child grid (vector y) from its parent |
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| 337 | !! grid (vector x). |
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| 338 | !--------------------------------------------------------------------------------------------------- |
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| 339 | subroutine Linear1dConserv ( x, y, np, nc, s_parent, s_child, ds_parent, ds_child ) |
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| 340 | !--------------------------------------------------------------------------------------------------- |
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| 341 | integer, intent(in) :: np, nc |
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| 342 | real, dimension(np), intent(in) :: x |
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| 343 | real, dimension(nc), intent(out) :: y |
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| 344 | real, intent(in) :: s_parent, s_child |
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| 345 | real, intent(in) :: ds_parent, ds_child |
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| 346 | ! |
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| 347 | real, dimension(:), allocatable :: ytemp |
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| 348 | integer :: i,coeffraf,locind_parent_left,locind_parent_last |
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| 349 | real :: ypos,xdiffmod,xpmin,xpmax,slope |
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| 350 | integer :: i1,i2,ii |
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| 351 | integer :: diffmod |
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| 352 | ! |
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| 353 | coeffraf = nint(ds_parent/ds_child) |
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| 354 | ! |
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| 355 | if (coeffraf == 1) then |
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| 356 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
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| 357 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
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| 358 | return |
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| 359 | endif |
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| 360 | ! |
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| 361 | diffmod = 0 |
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| 362 | if (mod(coeffraf,2) == 0) diffmod = 1 |
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| 363 | |
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| 364 | xdiffmod = real(diffmod)/2. |
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| 365 | |
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| 366 | allocate(ytemp(-2*coeffraf:nc+2*coeffraf)) |
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| 367 | ! |
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| 368 | ypos = s_child |
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| 369 | ! |
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| 370 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
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| 371 | locind_parent_last = 1 + agrif_ceiling((ypos +(nc - 1) *ds_child - s_parent)/ds_parent) |
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| 372 | |
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| 373 | xpmin = s_parent + (locind_parent_left-1)*ds_parent |
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| 374 | xpmax = s_parent + (locind_parent_last-1)*ds_parent |
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| 375 | |
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| 376 | i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
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| 377 | i2 = 1+agrif_int((xpmax-s_child)/ds_child) |
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| 378 | |
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| 379 | i = i1 |
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| 380 | |
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| 381 | if (locind_parent_left == 1) then |
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| 382 | slope = (x(locind_parent_left+1)-x(locind_parent_left))/(coeffraf) |
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| 383 | else |
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| 384 | slope = (x(locind_parent_left+1)-x(locind_parent_left-1))/(2.*coeffraf) |
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| 385 | endif |
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| 386 | |
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| 387 | do ii = i-coeffraf/2+diffmod,i+coeffraf/2 |
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| 388 | ytemp(ii) = x(locind_parent_left)+(ii-i-xdiffmod/2.)*slope |
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| 389 | enddo |
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| 390 | |
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| 391 | locind_parent_left = locind_parent_left + 1 |
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| 392 | |
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| 393 | do i = i1+coeffraf, i2-coeffraf,coeffraf |
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| 394 | slope = (x(locind_parent_left+1)-x(locind_parent_left-1))/(2.*coeffraf) |
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| 395 | do ii = i-coeffraf/2+diffmod,i+coeffraf/2 |
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| 396 | ytemp(ii) = x(locind_parent_left)+(ii-i-xdiffmod/2.)*slope |
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| 397 | enddo |
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| 398 | locind_parent_left = locind_parent_left + 1 |
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| 399 | enddo |
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| 400 | |
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| 401 | i = i2 |
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| 402 | |
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| 403 | if (locind_parent_left == np) then |
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| 404 | slope = (x(locind_parent_left)-x(locind_parent_left-1))/(coeffraf) |
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| 405 | else |
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| 406 | slope = (x(locind_parent_left+1)-x(locind_parent_left-1))/(2.*coeffraf) |
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| 407 | endif |
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| 408 | |
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| 409 | do ii = i-coeffraf/2+diffmod,nc |
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| 410 | ytemp(ii) = x(locind_parent_left)+(ii-i-xdiffmod/2.)*slope |
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| 411 | enddo |
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| 412 | ! |
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| 413 | y(1:nc)=ytemp(1:nc) |
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| 414 | ! |
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| 415 | deallocate(ytemp) |
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| 416 | !--------------------------------------------------------------------------------------------------- |
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| 417 | end subroutine Linear1dConserv |
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| 418 | !=================================================================================================== |
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| 419 | ! |
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| 420 | !=================================================================================================== |
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| 421 | ! subroutine Linear1dConservLim |
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| 422 | ! |
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| 423 | !> Carries out a limited conservative linear 1D interpolation on a child grid (vector y) from |
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| 424 | !! its parent grid (vector x). |
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| 425 | !--------------------------------------------------------------------------------------------------- |
---|
| 426 | subroutine Linear1dConservLim ( x, y, np, nc, s_parent, s_child, ds_parent, ds_child ) |
---|
| 427 | !--------------------------------------------------------------------------------------------------- |
---|
| 428 | integer, intent(in) :: np, nc |
---|
| 429 | real, dimension(np), intent(in) :: x |
---|
| 430 | real, dimension(nc), intent(out) :: y |
---|
| 431 | real, intent(in) :: s_parent, s_child |
---|
| 432 | real, intent(in) :: ds_parent, ds_child |
---|
| 433 | ! |
---|
| 434 | real, dimension(:), allocatable :: ytemp |
---|
| 435 | integer :: i,coeffraf,locind_parent_left,locind_parent_last |
---|
| 436 | real :: ypos,xdiffmod,xpmin,xpmax,slope |
---|
| 437 | integer :: i1,i2,ii |
---|
| 438 | integer :: diffmod |
---|
| 439 | ! |
---|
| 440 | coeffraf = nint(ds_parent/ds_child) |
---|
| 441 | ! |
---|
| 442 | if (coeffraf == 1) then |
---|
| 443 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
---|
| 444 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
---|
| 445 | return |
---|
| 446 | endif |
---|
| 447 | ! |
---|
| 448 | if (coeffraf /= 3) then |
---|
| 449 | print *,'Linear1dConservLim not ready for refinement ratio = ', coeffraf |
---|
| 450 | stop |
---|
| 451 | endif |
---|
| 452 | ! |
---|
| 453 | diffmod = 0 |
---|
| 454 | if (mod(coeffraf,2) == 0) diffmod = 1 |
---|
| 455 | |
---|
| 456 | xdiffmod = real(diffmod)/2. |
---|
| 457 | |
---|
| 458 | allocate(ytemp(-2*coeffraf:nc+2*coeffraf)) |
---|
| 459 | ! |
---|
| 460 | ypos = s_child |
---|
| 461 | ! |
---|
| 462 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
---|
| 463 | locind_parent_last = 1 + agrif_ceiling((ypos +(nc - 1) *ds_child - s_parent)/ds_parent) |
---|
| 464 | |
---|
| 465 | xpmin = s_parent + (locind_parent_left-1)*ds_parent |
---|
| 466 | xpmax = s_parent + (locind_parent_last-1)*ds_parent |
---|
| 467 | |
---|
| 468 | i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
---|
| 469 | i2 = 1+agrif_int((xpmax-s_child)/ds_child) |
---|
| 470 | |
---|
| 471 | i = i1 |
---|
| 472 | |
---|
| 473 | if (locind_parent_left == 1) then |
---|
| 474 | slope=0. |
---|
| 475 | else |
---|
| 476 | slope = Agrif_limiter_vanleer(x(locind_parent_left-1:locind_parent_left+1)) |
---|
| 477 | slope = slope / coeffraf |
---|
| 478 | endif |
---|
| 479 | |
---|
| 480 | do ii = i-coeffraf/2+diffmod,i+coeffraf/2 |
---|
| 481 | ytemp(ii) = x(locind_parent_left)+(ii-i-xdiffmod/2.)*slope |
---|
| 482 | enddo |
---|
| 483 | |
---|
| 484 | locind_parent_left = locind_parent_left + 1 |
---|
| 485 | |
---|
| 486 | do i = i1+coeffraf, i2-coeffraf,coeffraf |
---|
| 487 | slope = Agrif_limiter_vanleer(x(locind_parent_left-1:locind_parent_left+1)) |
---|
| 488 | slope = slope / coeffraf |
---|
| 489 | do ii=i-coeffraf/2+diffmod,i+coeffraf/2 |
---|
| 490 | ytemp(ii) = x(locind_parent_left)+(ii-i-xdiffmod/2.)*slope |
---|
| 491 | enddo |
---|
| 492 | locind_parent_left = locind_parent_left + 1 |
---|
| 493 | enddo |
---|
| 494 | |
---|
| 495 | i = i2 |
---|
| 496 | |
---|
| 497 | if (locind_parent_left == np) then |
---|
| 498 | slope=0. |
---|
| 499 | else |
---|
| 500 | slope = Agrif_limiter_vanleer(x(locind_parent_left-1:locind_parent_left+1)) |
---|
| 501 | slope = slope / coeffraf |
---|
| 502 | endif |
---|
| 503 | |
---|
| 504 | do ii=i-coeffraf/2+diffmod,nc |
---|
| 505 | ytemp(ii) = x(locind_parent_left)+(ii-i-xdiffmod/2.)*slope |
---|
| 506 | enddo |
---|
| 507 | ! |
---|
| 508 | y(1:nc) = ytemp(1:nc) |
---|
| 509 | ! |
---|
| 510 | deallocate(ytemp) |
---|
| 511 | !--------------------------------------------------------------------------------------------------- |
---|
| 512 | end subroutine Linear1dConservLim |
---|
| 513 | !=================================================================================================== |
---|
| 514 | ! |
---|
| 515 | !=================================================================================================== |
---|
| 516 | ! subroutine PPM1d |
---|
| 517 | ! |
---|
| 518 | !> Carries out a 1D interpolation and apply monotonicity constraints using piecewise parabolic |
---|
| 519 | !! method (PPM) on a child grid (vector y) from its parent grid (vector x). |
---|
| 520 | !--------------------------------------------------------------------------------------------------- |
---|
| 521 | subroutine PPM1d ( x, y, np, nc, s_parent, s_child, ds_parent, ds_child ) |
---|
| 522 | !--------------------------------------------------------------------------------------------------- |
---|
| 523 | integer, intent(in) :: np, nc |
---|
| 524 | real, dimension(np), intent(in) :: x |
---|
| 525 | real, dimension(nc), intent(out) :: y |
---|
| 526 | real, intent(in) :: s_parent, s_child |
---|
| 527 | real, intent(in) :: ds_parent, ds_child |
---|
| 528 | ! |
---|
| 529 | integer :: i,coeffraf,locind_parent_left,locind_parent_last |
---|
| 530 | integer :: iparent,ipos,pos,nmin,nmax |
---|
| 531 | real :: ypos |
---|
| 532 | integer :: i1,jj |
---|
| 533 | real :: xpmin,a |
---|
| 534 | ! |
---|
| 535 | real, dimension(np) :: xl,delta,a6,slope |
---|
| 536 | integer :: diffmod |
---|
| 537 | real :: invcoeffraf |
---|
| 538 | ! |
---|
| 539 | coeffraf = nint(ds_parent/ds_child) |
---|
| 540 | ! |
---|
| 541 | if (coeffraf == 1) then |
---|
| 542 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
---|
| 543 | !CDIR ALTCODE |
---|
| 544 | !CDIR SHORTLOOP |
---|
| 545 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
---|
| 546 | return |
---|
| 547 | endif |
---|
| 548 | ! |
---|
| 549 | invcoeffraf = ds_child/ds_parent |
---|
| 550 | ! |
---|
| 551 | if( .not. allocated(tabtest4) ) then |
---|
| 552 | allocate(tabtest4(-2*coeffraf:nc+2*coeffraf)) |
---|
| 553 | else |
---|
| 554 | if (size(tabtest4) < nc+4*coeffraf+1) then |
---|
| 555 | deallocate( tabtest4 ) |
---|
| 556 | allocate(tabtest4(-2*coeffraf:nc+2*coeffraf)) |
---|
| 557 | endif |
---|
| 558 | endif |
---|
| 559 | ! |
---|
| 560 | ypos = s_child |
---|
| 561 | ! |
---|
| 562 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
---|
| 563 | locind_parent_last = 1 + agrif_ceiling((ypos +(nc - 1)*ds_child - s_parent)/ds_parent) |
---|
| 564 | ! |
---|
| 565 | xpmin = s_parent + (locind_parent_left-1)*ds_parent |
---|
| 566 | i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
---|
| 567 | ! |
---|
| 568 | !CDIR NOVECTOR |
---|
| 569 | do i=1,coeffraf |
---|
| 570 | tabdiff2(i) = (real(i)-0.5)*invcoeffraf |
---|
| 571 | enddo |
---|
| 572 | ! |
---|
| 573 | a = invcoeffraf**2 |
---|
| 574 | tabdiff3(1) = (1./3.)*a |
---|
| 575 | a = 2.*a |
---|
| 576 | !CDIR NOVECTOR |
---|
| 577 | do i=2,coeffraf |
---|
| 578 | tabdiff3(i) = tabdiff3(i-1)+(real(i)-1)*a |
---|
| 579 | enddo |
---|
| 580 | ! |
---|
| 581 | if ( locind_parent_last+2 <= np ) then |
---|
| 582 | nmax = locind_parent_last+2 |
---|
| 583 | else if ( locind_parent_last+1 <= np ) then |
---|
| 584 | nmax = locind_parent_last+1 |
---|
| 585 | else |
---|
| 586 | nmax = locind_parent_last |
---|
| 587 | endif |
---|
| 588 | ! |
---|
| 589 | if (locind_parent_left-1 >= 1) then |
---|
| 590 | nmin = locind_parent_left-1 |
---|
| 591 | else |
---|
| 592 | nmin = locind_parent_left |
---|
| 593 | endif |
---|
| 594 | ! |
---|
| 595 | !CDIR ALTCODE |
---|
| 596 | !CDIR SHORTLOOP |
---|
| 597 | do i = nmin,nmax |
---|
| 598 | slope(i) = x(i) - x(i-1) |
---|
| 599 | enddo |
---|
| 600 | ! |
---|
| 601 | !CDIR ALTCODE |
---|
| 602 | !CDIR SHORTLOOP |
---|
| 603 | do i = nmin+1,nmax-1 |
---|
| 604 | xl(i)= 0.5*(x(i-1)+x(i))-0.08333333333333*(slope(i+1)-slope(i-1)) |
---|
| 605 | enddo |
---|
| 606 | ! |
---|
| 607 | ! apply parabolic monotonicity |
---|
| 608 | !CDIR ALTCODE |
---|
| 609 | !CDIR SHORTLOOP |
---|
| 610 | do i = locind_parent_left,locind_parent_last |
---|
| 611 | delta(i) = xl(i+1) - xl(i) |
---|
| 612 | a6(i) = 6.*x(i)-3.*(xl(i) +xl(i+1)) |
---|
| 613 | enddo |
---|
| 614 | ! |
---|
| 615 | diffmod = 0 |
---|
| 616 | if (mod(coeffraf,2) == 0) diffmod = 1 |
---|
| 617 | ! |
---|
| 618 | ipos = i1 |
---|
| 619 | ! |
---|
| 620 | do iparent = locind_parent_left,locind_parent_last |
---|
| 621 | pos=1 |
---|
| 622 | !CDIR ALTCODE |
---|
| 623 | !CDIR SHORTLOOP |
---|
| 624 | do jj = ipos-coeffraf/2+diffmod,ipos+coeffraf/2 |
---|
| 625 | ! |
---|
| 626 | tabtest4(jj) = xl(iparent) + tabdiff2(pos) * (delta(iparent)+a6(iparent)) & |
---|
| 627 | - tabdiff3(pos) * a6(iparent) |
---|
| 628 | pos = pos+1 |
---|
| 629 | enddo |
---|
| 630 | ipos = ipos + coeffraf |
---|
| 631 | enddo |
---|
| 632 | ! |
---|
| 633 | !CDIR ALTCODE |
---|
| 634 | !CDIR SHORTLOOP |
---|
| 635 | y(1:nc) = tabtest4(1:nc) |
---|
| 636 | !--------------------------------------------------------------------------------------------------- |
---|
| 637 | end subroutine PPM1d |
---|
| 638 | !=================================================================================================== |
---|
| 639 | ! |
---|
| 640 | !=================================================================================================== |
---|
| 641 | ! subroutine PPM1dPrecompute2d |
---|
| 642 | ! |
---|
| 643 | !> Computes 2D coefficients and index for a 1D interpolation using piecewise parabolic method |
---|
| 644 | !--------------------------------------------------------------------------------------------------- |
---|
| 645 | subroutine PPM1dPrecompute2d ( np2, np, nc, s_parent, s_child, ds_parent, ds_child, dir ) |
---|
| 646 | !--------------------------------------------------------------------------------------------------- |
---|
| 647 | integer, intent(in) :: np2, np, nc |
---|
| 648 | real, intent(in) :: s_parent, s_child |
---|
| 649 | real, intent(in) :: ds_parent, ds_child |
---|
| 650 | integer, intent(in) :: dir |
---|
| 651 | ! |
---|
| 652 | integer, dimension(:,:), allocatable :: indparent_tmp |
---|
| 653 | integer, dimension(:,:), allocatable :: indchild_tmp |
---|
| 654 | integer :: i,coeffraf,locind_parent_left,locind_parent_last |
---|
| 655 | integer :: iparent,ipos,pos |
---|
| 656 | real :: ypos |
---|
| 657 | integer :: i1,jj |
---|
| 658 | real :: xpmin,a |
---|
| 659 | ! |
---|
| 660 | integer :: diffmod |
---|
| 661 | real :: invcoeffraf |
---|
| 662 | ! |
---|
| 663 | coeffraf = nint(ds_parent/ds_child) |
---|
| 664 | ! |
---|
| 665 | invcoeffraf = ds_child/ds_parent |
---|
| 666 | ! |
---|
| 667 | if (.not.allocated(indparentppm)) then |
---|
| 668 | allocate(indparentppm(np2*nc,3),indchildppm(np2*nc,3)) |
---|
| 669 | else |
---|
| 670 | if (size(indparentppm,1) < np2*nc) then |
---|
| 671 | allocate( & |
---|
| 672 | indparent_tmp(size(indparentppm,1),size(indparentppm,2)), & |
---|
| 673 | indchild_tmp( size(indparentppm,1),size(indparentppm,2))) |
---|
| 674 | indparent_tmp = indparentppm |
---|
| 675 | indchild_tmp = indchildppm |
---|
| 676 | deallocate(indparentppm,indchildppm) |
---|
| 677 | allocate(indparentppm(np2*nc,3),indchildppm(np2*nc,3)) |
---|
| 678 | indparentppm(1:size(indparent_tmp,1),1:size(indparent_tmp,2)) = indparent_tmp |
---|
| 679 | indchildppm( 1:size(indparent_tmp,1),1:size(indparent_tmp,2)) = indchild_tmp |
---|
| 680 | deallocate(indparent_tmp,indchild_tmp) |
---|
| 681 | endif |
---|
| 682 | endif |
---|
| 683 | |
---|
| 684 | if (.not.allocated(indparentppm_1d)) then |
---|
| 685 | allocate(indparentppm_1d(-2*coeffraf:nc+2*coeffraf), & |
---|
| 686 | indchildppm_1d( -2*coeffraf:nc+2*coeffraf)) |
---|
| 687 | else |
---|
| 688 | if (size(indparentppm_1d) < nc+4*coeffraf+1) then |
---|
| 689 | deallocate(indparentppm_1d,indchildppm_1d) |
---|
| 690 | allocate(indparentppm_1d(-2*coeffraf:nc+2*coeffraf),& |
---|
| 691 | indchildppm_1d( -2*coeffraf:nc+2*coeffraf)) |
---|
| 692 | endif |
---|
| 693 | endif |
---|
| 694 | ! |
---|
| 695 | ypos = s_child |
---|
| 696 | ! |
---|
| 697 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
---|
| 698 | locind_parent_last = 1 + agrif_ceiling((ypos +(nc - 1)*ds_child - s_parent)/ds_parent) |
---|
| 699 | ! |
---|
| 700 | xpmin = s_parent + (locind_parent_left-1)*ds_parent |
---|
| 701 | i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
---|
| 702 | ! |
---|
| 703 | do i = 1,coeffraf |
---|
| 704 | tabdiff2(i)=(real(i)-0.5)*invcoeffraf |
---|
| 705 | enddo |
---|
| 706 | ! |
---|
| 707 | a = invcoeffraf**2 |
---|
| 708 | tabdiff3(1) = (1./3.)*a |
---|
| 709 | a = 2.*a |
---|
| 710 | !CDIR ALTCODE |
---|
| 711 | do i = 2,coeffraf |
---|
| 712 | tabdiff3(i) = tabdiff3(i-1)+(real(i)-1)*a |
---|
| 713 | enddo |
---|
| 714 | |
---|
| 715 | !CDIR ALTCODE |
---|
| 716 | do i = 1,coeffraf |
---|
| 717 | tabppm(1,i,dir) = 0.08333333333333*(-1.+4*tabdiff2(i)-3*tabdiff3(i)) |
---|
| 718 | tabppm(2,i,dir) = 0.08333333333333*(7.-26.*tabdiff2(i)+18.*tabdiff3(i)) |
---|
| 719 | tabppm(3,i,dir) = 0.08333333333333*(7.+30*tabdiff2(i)-30*tabdiff3(i)) |
---|
| 720 | tabppm(4,i,dir) = 0.08333333333333*(-1.-10.*tabdiff2(i)+18.*tabdiff3(i)) |
---|
| 721 | tabppm(5,i,dir) = 0.08333333333333*(2*tabdiff2(i)-3*tabdiff3(i)) |
---|
| 722 | enddo |
---|
| 723 | ! |
---|
| 724 | diffmod = 0 |
---|
| 725 | if (mod(coeffraf,2) == 0) diffmod = 1 |
---|
| 726 | ! |
---|
| 727 | ipos = i1 |
---|
| 728 | ! |
---|
| 729 | do iparent = locind_parent_left,locind_parent_last |
---|
| 730 | pos=1 |
---|
| 731 | !CDIR ALTCODE |
---|
| 732 | do jj = ipos - coeffraf/2+diffmod,ipos + coeffraf/2 |
---|
| 733 | indparentppm_1d(jj) = iparent-2 |
---|
| 734 | indchildppm_1d(jj) = pos |
---|
| 735 | pos = pos+1 |
---|
| 736 | enddo |
---|
| 737 | ipos = ipos + coeffraf |
---|
| 738 | enddo |
---|
| 739 | ! |
---|
| 740 | do i = 1,np2 |
---|
| 741 | indparentppm(1+(i-1)*nc:i*nc,dir) = indparentppm_1d(1:nc) + (i-1)*np |
---|
| 742 | indchildppm (1+(i-1)*nc:i*nc,dir) = indchildppm_1d (1:nc) |
---|
| 743 | enddo |
---|
| 744 | !--------------------------------------------------------------------------------------------------- |
---|
| 745 | end subroutine PPM1dPrecompute2d |
---|
| 746 | !=================================================================================================== |
---|
| 747 | ! |
---|
| 748 | !=================================================================================================== |
---|
| 749 | !subroutine PPM1dPrecompute(np,nc,& |
---|
| 750 | ! s_parent,s_child,ds_parent,ds_child) |
---|
| 751 | !! |
---|
| 752 | !!CC Description: |
---|
| 753 | !!CC subroutine to compute coefficient and index for a 1D interpolation |
---|
| 754 | !!CC using piecewise parabolic method |
---|
| 755 | !!C Method: |
---|
| 756 | !! |
---|
| 757 | !! Declarations: |
---|
| 758 | !! |
---|
| 759 | ! Implicit none |
---|
| 760 | !! |
---|
| 761 | !! Arguments |
---|
| 762 | ! Integer :: np,nc |
---|
| 763 | !! Real, Dimension(:),Allocatable :: ytemp |
---|
| 764 | ! Real :: s_parent,s_child,ds_parent,ds_child |
---|
| 765 | !! |
---|
| 766 | !! Local scalars |
---|
| 767 | ! Integer :: i,coeffraf,locind_parent_left,locind_parent_last |
---|
| 768 | ! Integer :: iparent,ipos,pos,nmin,nmax |
---|
| 769 | ! Real :: ypos |
---|
| 770 | ! integer :: i1,jj |
---|
| 771 | ! Real :: xpmin,a |
---|
| 772 | !! |
---|
| 773 | ! Real :: xrmin,xrmax,am3,s2,s1 |
---|
| 774 | ! Real, Dimension(np) :: xl,delta,a6,slope |
---|
| 775 | !! Real, Dimension(:),Allocatable :: diff,diff2,diff3 |
---|
| 776 | ! INTEGER :: diffmod |
---|
| 777 | ! REAL :: invcoeffraf |
---|
| 778 | !! |
---|
| 779 | ! coeffraf = nint(ds_parent/ds_child) |
---|
| 780 | !! |
---|
| 781 | ! If (coeffraf == 1) Then |
---|
| 782 | ! return |
---|
| 783 | ! End If |
---|
| 784 | ! invcoeffraf = ds_child/ds_parent |
---|
| 785 | !! |
---|
| 786 | ! |
---|
| 787 | ! if (.not.allocated(indparentppm)) then |
---|
| 788 | ! allocate(indparentppm(-2*coeffraf:nc+2*coeffraf,1),& |
---|
| 789 | ! indchildppm(-2*coeffraf:nc+2*coeffraf,1)) |
---|
| 790 | ! else |
---|
| 791 | ! if (size(indparentppm,1)<nc+4*coeffraf+1) then |
---|
| 792 | ! deallocate(indparentppm,indchildppm) |
---|
| 793 | ! allocate(indparentppm(-2*coeffraf:nc+2*coeffraf,1),& |
---|
| 794 | ! indchildppm(-2*coeffraf:nc+2*coeffraf,1)) |
---|
| 795 | ! endif |
---|
| 796 | ! endif |
---|
| 797 | ! |
---|
| 798 | ! ypos = s_child |
---|
| 799 | !! |
---|
| 800 | ! locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
---|
| 801 | ! locind_parent_last = 1 +& |
---|
| 802 | ! agrif_ceiling((ypos +(nc - 1)& |
---|
| 803 | ! *ds_child - s_parent)/ds_parent) |
---|
| 804 | !! |
---|
| 805 | ! xpmin = s_parent + (locind_parent_left-1)*ds_parent |
---|
| 806 | ! i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
---|
| 807 | !! |
---|
| 808 | !! |
---|
| 809 | ! |
---|
| 810 | ! Do i=1,coeffraf |
---|
| 811 | ! tabdiff2(i)=(real(i)-0.5)*invcoeffraf |
---|
| 812 | ! EndDo |
---|
| 813 | ! |
---|
| 814 | ! a = invcoeffraf**2 |
---|
| 815 | ! tabdiff3(1) = (1./3.)*a |
---|
| 816 | ! a=2.*a |
---|
| 817 | !!CDIR ALTCODE |
---|
| 818 | !!!!CDIR SHORTLOOP |
---|
| 819 | ! Do i=2,coeffraf |
---|
| 820 | ! tabdiff3(i) = tabdiff3(i-1)+(real(i)-1)*a |
---|
| 821 | ! EndDo |
---|
| 822 | ! |
---|
| 823 | !!CDIR ALTCODE |
---|
| 824 | !!!!CDIR SHORTLOOP |
---|
| 825 | ! Do i=1,coeffraf |
---|
| 826 | ! tabppm(1,i,1) = 0.08333333333333*(-1.+4*tabdiff2(i)-3*tabdiff3(i)) |
---|
| 827 | ! tabppm(2,i,1) = 0.08333333333333*& |
---|
| 828 | ! (7.-26.*tabdiff2(i)+18.*tabdiff3(i)) |
---|
| 829 | ! tabppm(3,i,1) =0.08333333333333*(7.+30*tabdiff2(i)-30*tabdiff3(i)) |
---|
| 830 | ! tabppm(4,i,1) = 0.08333333333333*& |
---|
| 831 | ! (-1.-10.*tabdiff2(i)+18.*tabdiff3(i)) |
---|
| 832 | ! tabppm(5,i,1) = 0.08333333333333*(2*tabdiff2(i)-3*tabdiff3(i)) |
---|
| 833 | ! End Do |
---|
| 834 | !! |
---|
| 835 | !! |
---|
| 836 | ! diffmod = 0 |
---|
| 837 | ! IF (mod(coeffraf,2) == 0) diffmod = 1 |
---|
| 838 | !! |
---|
| 839 | ! ipos = i1 |
---|
| 840 | !! |
---|
| 841 | ! Do iparent = locind_parent_left,locind_parent_last |
---|
| 842 | ! pos=1 |
---|
| 843 | !!CDIR ALTCODE |
---|
| 844 | !!CDIR SHORTLOOP |
---|
| 845 | ! Do jj = ipos - coeffraf/2+diffmod,ipos + coeffraf/2 |
---|
| 846 | ! indparentppm(jj,1) = iparent-2 |
---|
| 847 | ! indchildppm(jj,1) = pos |
---|
| 848 | ! pos = pos+1 |
---|
| 849 | ! End do |
---|
| 850 | ! ipos = ipos + coeffraf |
---|
| 851 | !! |
---|
| 852 | ! End do |
---|
| 853 | ! |
---|
| 854 | ! Return |
---|
| 855 | ! End subroutine ppm1dprecompute |
---|
| 856 | !=================================================================================================== |
---|
| 857 | ! |
---|
| 858 | !=================================================================================================== |
---|
| 859 | ! subroutine PPM1dAfterCompute |
---|
| 860 | ! |
---|
| 861 | ! Carries out a 1D interpolation and apply monotonicity constraints using piecewise parabolic |
---|
| 862 | ! method (PPM) on a child grid (vector y) from its parent grid (vector x). |
---|
| 863 | ! Use precomputed coefficient and index. |
---|
| 864 | !--------------------------------------------------------------------------------------------------- |
---|
| 865 | subroutine PPM1dAfterCompute ( x, y, np, nc, dir ) |
---|
| 866 | !--------------------------------------------------------------------------------------------------- |
---|
| 867 | real, dimension(np), intent(in) :: x |
---|
| 868 | real, dimension(nc), intent(out) :: y |
---|
| 869 | integer, intent(in) :: np, nc |
---|
| 870 | integer, intent(in) :: dir |
---|
| 871 | ! |
---|
| 872 | integer :: i |
---|
| 873 | ! |
---|
| 874 | do i = 1,nc |
---|
| 875 | y(i) = tabppm(1,indchildppm(i,dir),dir) * x(indparentppm(i,dir) ) + & |
---|
| 876 | tabppm(2,indchildppm(i,dir),dir) * x(indparentppm(i,dir)+1) + & |
---|
| 877 | tabppm(3,indchildppm(i,dir),dir) * x(indparentppm(i,dir)+2) + & |
---|
| 878 | tabppm(4,indchildppm(i,dir),dir) * x(indparentppm(i,dir)+3) + & |
---|
| 879 | tabppm(5,indchildppm(i,dir),dir) * x(indparentppm(i,dir)+4) |
---|
| 880 | enddo |
---|
| 881 | !--------------------------------------------------------------------------------------------------- |
---|
| 882 | end subroutine PPM1dAfterCompute |
---|
| 883 | !=================================================================================================== |
---|
| 884 | ! |
---|
| 885 | !=================================================================================================== |
---|
| 886 | ! subroutine weno1d |
---|
| 887 | ! |
---|
| 888 | ! Carries out a 1D interpolation and apply monotonicity constraints |
---|
| 889 | ! using WENO method on a child grid (vector y) from its parent grid (vector x). |
---|
| 890 | !--------------------------------------------------------------------------------------------------- |
---|
| 891 | !subroutine weno1dnew ( x, y, np, nc, s_parent, s_child, ds_parent, ds_child ) |
---|
| 892 | !--------------------------------------------------------------------------------------------------- |
---|
| 893 | ! |
---|
| 894 | !CC Description: |
---|
| 895 | !CC subroutine to do a 1D interpolation and apply monotonicity constraints |
---|
| 896 | !CC using piecewise parabolic method |
---|
| 897 | !CC on a child grid (vector y) from its parent grid (vector x). |
---|
| 898 | !C Method: |
---|
| 899 | ! |
---|
| 900 | ! Declarations: |
---|
| 901 | ! |
---|
| 902 | ! Implicit none |
---|
| 903 | ! |
---|
| 904 | ! Arguments |
---|
| 905 | ! Integer :: np,nc |
---|
| 906 | ! Real, Dimension(np) :: x |
---|
| 907 | ! Real, Dimension(nc) :: y |
---|
| 908 | ! Real, Dimension(:),Allocatable :: ytemp |
---|
| 909 | ! Real :: s_parent,s_child,ds_parent,ds_child |
---|
| 910 | ! |
---|
| 911 | ! Local scalars |
---|
| 912 | ! Integer :: i,coeffraf,locind_parent_left,locind_parent_last |
---|
| 913 | ! Integer :: iparent,ipos,pos,nmin,nmax |
---|
| 914 | ! Real :: ypos |
---|
| 915 | ! integer :: i1,jj |
---|
| 916 | ! Real :: xpmin,cavg,a,b |
---|
| 917 | ! |
---|
| 918 | ! Real :: xrmin,xrmax,am3,s2,s1 |
---|
| 919 | ! Real, Dimension(np) :: xr,xl,delta,a6,slope,slope2,smooth |
---|
| 920 | ! Real, Dimension(:),Allocatable :: diff,diff2,diff3 |
---|
| 921 | ! INTEGER :: diffmod |
---|
| 922 | ! REAL :: invcoeffraf |
---|
| 923 | ! integer :: s,l,k |
---|
| 924 | ! integer :: etan, etap |
---|
| 925 | ! real :: delta0, delta1, delta2 |
---|
| 926 | ! real :: epsilon |
---|
| 927 | ! parameter (epsilon = 1.D-8) |
---|
| 928 | ! real, dimension(:,:), allocatable :: ak, ck |
---|
| 929 | ! |
---|
| 930 | ! coeffraf = nint(ds_parent/ds_child) |
---|
| 931 | ! |
---|
| 932 | ! If (coeffraf == 1) Then |
---|
| 933 | ! locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
---|
| 934 | ! y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
---|
| 935 | ! return |
---|
| 936 | ! End If |
---|
| 937 | ! invcoeffraf = ds_child/ds_parent |
---|
| 938 | ! Allocate(ak(0:1,coeffraf)) |
---|
| 939 | ! Allocate(ck(0:1,coeffraf)) |
---|
| 940 | ! |
---|
| 941 | ! |
---|
| 942 | ! Allocate(ytemp(-2*coeffraf:nc+2*coeffraf)) |
---|
| 943 | ! ypos = s_child |
---|
| 944 | ! |
---|
| 945 | ! locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
---|
| 946 | ! locind_parent_last = 1 +& |
---|
| 947 | ! agrif_ceiling((ypos +(nc - 1)& |
---|
| 948 | ! *ds_child - s_parent)/ds_parent) |
---|
| 949 | ! |
---|
| 950 | ! xpmin = s_parent + (locind_parent_left-1)*ds_parent |
---|
| 951 | ! i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
---|
| 952 | ! |
---|
| 953 | ! Allocate( diff(coeffraf),diff2(coeffraf),diff3(coeffraf) ) |
---|
| 954 | ! |
---|
| 955 | ! diff(1)=0.5*invcoeffraf |
---|
| 956 | ! do i=2,coeffraf |
---|
| 957 | ! diff(i) = diff(i-1)+invcoeffraf |
---|
| 958 | ! enddo |
---|
| 959 | ! |
---|
| 960 | ! ak = 0. |
---|
| 961 | ! ck = 0. |
---|
| 962 | ! |
---|
| 963 | ! do i=1,coeffraf |
---|
| 964 | ! do k=0,1 |
---|
| 965 | ! do s=0,2 |
---|
| 966 | ! do l=0,2 |
---|
| 967 | ! if (l /= s) then |
---|
| 968 | ! ak(k,i) = ak(k,i)+(diff(i)-(k-l+1.)) |
---|
| 969 | ! endif |
---|
| 970 | ! enddo |
---|
| 971 | ! enddo |
---|
| 972 | ! enddo |
---|
| 973 | ! |
---|
| 974 | ! etap = 0 |
---|
| 975 | ! etan = 0 |
---|
| 976 | ! do k=0,1 |
---|
| 977 | ! if (ak(k,i) > 0) then |
---|
| 978 | ! etap = etap+1 |
---|
| 979 | ! else if (ak(k,i) < 0) then |
---|
| 980 | ! etan = etan + 1 |
---|
| 981 | ! endif |
---|
| 982 | ! enddo |
---|
| 983 | ! |
---|
| 984 | ! do k=0,1 |
---|
| 985 | ! if (ak(k,i) == 0) then |
---|
| 986 | ! Ck(k,i) = 1. |
---|
| 987 | ! else if (ak(k,i) > 0) then |
---|
| 988 | ! Ck(k,i) = 1./(etap * ak(k,i)) |
---|
| 989 | ! else |
---|
| 990 | ! Ck(k,i) = -1./(etan * ak(k,i)) |
---|
| 991 | ! endif |
---|
| 992 | ! enddo |
---|
| 993 | ! enddo |
---|
| 994 | ! |
---|
| 995 | ! |
---|
| 996 | ! a = 0. |
---|
| 997 | ! b = invcoeffraf |
---|
| 998 | ! Do i=1,coeffraf |
---|
| 999 | ! diff2(i) = 0.5*(b*b - a*a) |
---|
| 1000 | ! diff3(i) = (1./3.)*(b*b*b - a*a*a) |
---|
| 1001 | ! a = a + invcoeffraf |
---|
| 1002 | ! b = b + invcoeffraf |
---|
| 1003 | ! End do |
---|
| 1004 | ! |
---|
| 1005 | ! if( locind_parent_last+2 <= np ) then |
---|
| 1006 | ! nmax = locind_parent_last+2 |
---|
| 1007 | ! elseif( locind_parent_last+1 <= np ) then |
---|
| 1008 | ! nmax = locind_parent_last+1 |
---|
| 1009 | ! else |
---|
| 1010 | ! nmax = locind_parent_last |
---|
| 1011 | ! endif |
---|
| 1012 | ! |
---|
| 1013 | ! if(locind_parent_left-2 >= 1) then |
---|
| 1014 | ! nmin = locind_parent_left-2 |
---|
| 1015 | ! elseif(locind_parent_left-1 >= 1) then |
---|
| 1016 | ! nmin = locind_parent_left-1 |
---|
| 1017 | ! else |
---|
| 1018 | ! nmin = locind_parent_left |
---|
| 1019 | ! endif |
---|
| 1020 | ! |
---|
| 1021 | ! Do i = nmin+1,nmax |
---|
| 1022 | ! slope(i) = (x(i) - x(i-1)) |
---|
| 1023 | ! Enddo |
---|
| 1024 | ! DO i=nmin+2,nmax |
---|
| 1025 | ! smooth(i) = 0.5*(slope(i)**2+slope(i-1)**2)& |
---|
| 1026 | ! +(slope(i)-slope(i-1))**2 |
---|
| 1027 | ! enddo |
---|
| 1028 | ! |
---|
| 1029 | ! diffmod = 0 |
---|
| 1030 | ! IF (mod(coeffraf,2) == 0) diffmod = 1 |
---|
| 1031 | ! |
---|
| 1032 | ! ipos = i1 |
---|
| 1033 | ! |
---|
| 1034 | ! Do iparent = locind_parent_left,locind_parent_last |
---|
| 1035 | ! pos=1 |
---|
| 1036 | ! |
---|
| 1037 | ! delta0=1./(epsilon+smooth(iparent ))**3 |
---|
| 1038 | ! delta1=1./(epsilon+smooth(iparent+1))**3 |
---|
| 1039 | ! delta2=1./(epsilon+smooth(iparent+2))**3 |
---|
| 1040 | ! |
---|
| 1041 | ! Do jj = ipos - coeffraf/2+diffmod,ipos + coeffraf/2 |
---|
| 1042 | ! |
---|
| 1043 | ! pos = pos+1 |
---|
| 1044 | ! End do |
---|
| 1045 | ! ipos = ipos + coeffraf |
---|
| 1046 | ! |
---|
| 1047 | ! End do |
---|
| 1048 | ! |
---|
| 1049 | ! |
---|
| 1050 | ! y(1:nc)=ytemp(1:nc) |
---|
| 1051 | ! deallocate(ytemp) |
---|
| 1052 | ! deallocate(diff, diff2, diff3) |
---|
| 1053 | ! |
---|
| 1054 | ! deallocate(ak,ck) |
---|
| 1055 | ! |
---|
| 1056 | ! Return |
---|
| 1057 | ! End subroutine weno1dnew |
---|
| 1058 | !=================================================================================================== |
---|
| 1059 | ! |
---|
| 1060 | !=================================================================================================== |
---|
| 1061 | ! subroutine WENO1d |
---|
| 1062 | ! |
---|
| 1063 | !> Carries out a a 1D interpolation using WENO method on a child grid (vector y) from its parent |
---|
| 1064 | !! grid (vector x). |
---|
| 1065 | !--------------------------------------------------------------------------------------------------- |
---|
| 1066 | subroutine WENO1d ( x, y, np, nc, s_parent, s_child, ds_parent, ds_child ) |
---|
| 1067 | !--------------------------------------------------------------------------------------------------- |
---|
| 1068 | integer, intent(in) :: np, nc |
---|
| 1069 | real, dimension(np), intent(in) :: x |
---|
| 1070 | real, dimension(nc), intent(out) :: y |
---|
| 1071 | real, intent(in) :: s_parent, s_child |
---|
| 1072 | real, intent(in) :: ds_parent, ds_child |
---|
| 1073 | ! |
---|
| 1074 | real, dimension(:), allocatable :: ytemp |
---|
| 1075 | integer :: i,coeffraf,locind_parent_left,locind_parent_last |
---|
| 1076 | integer :: iparent,ipos,pos,nmin,nmax |
---|
| 1077 | real :: ypos |
---|
| 1078 | integer :: i1,jj |
---|
| 1079 | real :: xpmin |
---|
| 1080 | ! |
---|
| 1081 | real, dimension(np) :: slope |
---|
| 1082 | real, dimension(:), allocatable :: diff |
---|
| 1083 | integer :: diffmod |
---|
| 1084 | real :: invcoeffraf |
---|
| 1085 | real :: delta0, delta1, sumdelta |
---|
| 1086 | real, parameter :: epsilon = 1.d-8 |
---|
| 1087 | ! |
---|
| 1088 | coeffraf = nint(ds_parent/ds_child) |
---|
| 1089 | ! |
---|
| 1090 | if (coeffraf == 1) then |
---|
| 1091 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
---|
| 1092 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
---|
| 1093 | return |
---|
| 1094 | endif |
---|
| 1095 | ! |
---|
| 1096 | invcoeffraf = ds_child/ds_parent |
---|
| 1097 | ! |
---|
| 1098 | allocate(ytemp(-2*coeffraf:nc+2*coeffraf)) |
---|
| 1099 | ypos = s_child |
---|
| 1100 | ! |
---|
| 1101 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
---|
| 1102 | locind_parent_last = 1 + agrif_ceiling((ypos +(nc - 1) *ds_child - s_parent)/ds_parent) |
---|
| 1103 | ! |
---|
| 1104 | xpmin = s_parent + (locind_parent_left-1)*ds_parent |
---|
| 1105 | i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
---|
| 1106 | ! |
---|
| 1107 | allocate(diff(coeffraf)) |
---|
| 1108 | diff(1) = 0.5*invcoeffraf |
---|
| 1109 | do i = 2,coeffraf |
---|
| 1110 | diff(i) = diff(i-1)+invcoeffraf |
---|
| 1111 | enddo |
---|
| 1112 | ! |
---|
| 1113 | if ( locind_parent_last+2 <= np ) then |
---|
| 1114 | nmax = locind_parent_last+2 |
---|
| 1115 | else if ( locind_parent_last+1 <= np ) then |
---|
| 1116 | nmax = locind_parent_last+1 |
---|
| 1117 | else |
---|
| 1118 | nmax = locind_parent_last |
---|
| 1119 | endif |
---|
| 1120 | ! |
---|
| 1121 | if(locind_parent_left-1 >= 1) then |
---|
| 1122 | nmin = locind_parent_left-1 |
---|
| 1123 | else |
---|
| 1124 | nmin = locind_parent_left |
---|
| 1125 | endif |
---|
| 1126 | ! |
---|
| 1127 | do i = nmin+1,nmax |
---|
| 1128 | slope(i) = x(i) - x(i-1) |
---|
| 1129 | enddo |
---|
| 1130 | ! |
---|
| 1131 | diffmod = 0 |
---|
| 1132 | if (mod(coeffraf,2) == 0) diffmod = 1 |
---|
| 1133 | ! |
---|
| 1134 | ipos = i1 |
---|
| 1135 | ! |
---|
| 1136 | do iparent = locind_parent_left,locind_parent_last |
---|
| 1137 | pos=1 |
---|
| 1138 | delta0 = 1./(epsilon+slope(iparent )**2)**2 |
---|
| 1139 | delta1 = 1./(epsilon+slope(iparent+1)**2)**2 |
---|
| 1140 | sumdelta = 1./(delta0+delta1) |
---|
| 1141 | do jj = ipos - coeffraf/2+diffmod,ipos + coeffraf/2 |
---|
| 1142 | ytemp(jj) = x(iparent)+(diff(pos)-0.5)*( delta0*slope(iparent) + & |
---|
| 1143 | delta1*slope(iparent+1))*sumdelta |
---|
| 1144 | pos = pos+1 |
---|
| 1145 | enddo |
---|
| 1146 | ipos = ipos + coeffraf |
---|
| 1147 | enddo |
---|
| 1148 | ! |
---|
| 1149 | y(1:nc) = ytemp(1:nc) |
---|
| 1150 | deallocate(ytemp) |
---|
| 1151 | deallocate(diff) |
---|
| 1152 | !--------------------------------------------------------------------------------------------------- |
---|
| 1153 | end subroutine WENO1d |
---|
| 1154 | !=================================================================================================== |
---|
| 1155 | ! |
---|
| 1156 | !=================================================================================================== |
---|
| 1157 | ! subroutine ENO1d |
---|
| 1158 | ! |
---|
| 1159 | !> Carries out a 1D interpolation using piecewise polynomial ENO reconstruction technique |
---|
| 1160 | !! on a child grid (vector y) from its parent grid (vector x). |
---|
| 1161 | !! \see ---- p 163-164 Computational gasdynamics ---- |
---|
| 1162 | !--------------------------------------------------------------------------------------------------- |
---|
| 1163 | subroutine ENO1d ( x, y, np, nc, s_parent, s_child, ds_parent, ds_child ) |
---|
| 1164 | !--------------------------------------------------------------------------------------------------- |
---|
| 1165 | integer, intent(in) :: np, nc |
---|
| 1166 | real, dimension(np), intent(in) :: x |
---|
| 1167 | real, dimension(nc), intent(out) :: y |
---|
| 1168 | real, intent(in) :: s_parent, s_child |
---|
| 1169 | real, intent(in) :: ds_parent, ds_child |
---|
| 1170 | ! |
---|
| 1171 | integer :: i,coeffraf,locind_parent_left,locind_parent_last |
---|
| 1172 | integer :: ipos, pos |
---|
| 1173 | real :: ypos,xi |
---|
| 1174 | integer :: i1,jj |
---|
| 1175 | real :: xpmin |
---|
| 1176 | ! |
---|
| 1177 | real, dimension(:), allocatable :: ytemp |
---|
| 1178 | real, dimension(:,:), allocatable :: xbar |
---|
| 1179 | real, dimension(1:np+1) :: xhalf |
---|
| 1180 | real, dimension(3,np) :: dd, c |
---|
| 1181 | integer :: diffmod, left |
---|
| 1182 | ! |
---|
| 1183 | coeffraf = nint(ds_parent/ds_child) |
---|
| 1184 | ! |
---|
| 1185 | if (coeffraf == 1) then |
---|
| 1186 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
---|
| 1187 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
---|
| 1188 | return |
---|
| 1189 | end if |
---|
| 1190 | |
---|
| 1191 | diffmod = 0 |
---|
| 1192 | if (mod(coeffraf,2) == 0) diffmod = 1 |
---|
| 1193 | ! |
---|
| 1194 | allocate(ytemp(-2*coeffraf:nc+2*coeffraf)) |
---|
| 1195 | ypos = s_child |
---|
| 1196 | ! |
---|
| 1197 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
---|
| 1198 | locind_parent_last = 1 + agrif_ceiling((ypos +(nc - 1) *ds_child - s_parent)/ds_parent) |
---|
| 1199 | ! |
---|
| 1200 | xpmin = s_parent + (locind_parent_left-1)*ds_parent |
---|
| 1201 | i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
---|
| 1202 | ! |
---|
| 1203 | do i = 1,np+1 |
---|
| 1204 | xhalf(i) = i - 0.5 |
---|
| 1205 | enddo |
---|
| 1206 | ! |
---|
| 1207 | ! Compute divided differences |
---|
| 1208 | ! |
---|
| 1209 | dd(1,1:np) = x(1:np) |
---|
| 1210 | dd(2,1:np-1) = 0.5*( dd(1,2:np) - dd(1,1:np-1) ) |
---|
| 1211 | dd(3,1:np-2) = (1./3.)*( dd(2,2:np-1) - dd(2,1:np-2) ) |
---|
| 1212 | ! |
---|
| 1213 | allocate( xbar( coeffraf,2 ) ) |
---|
| 1214 | xi = 0.5 |
---|
| 1215 | do i = 1,coeffraf |
---|
| 1216 | xbar(i,1) = (i-1)*ds_child/ds_parent - xi |
---|
| 1217 | xbar(i,2) = i *ds_child/ds_parent - xi |
---|
| 1218 | enddo |
---|
| 1219 | ! |
---|
| 1220 | ipos = i1 |
---|
| 1221 | ! |
---|
| 1222 | do i = locind_parent_left,locind_parent_last |
---|
| 1223 | left = i |
---|
| 1224 | do jj = 2,3 |
---|
| 1225 | if(abs(dd(jj,left)) > abs(dd(jj,left-1))) left = left-1 |
---|
| 1226 | enddo |
---|
| 1227 | ! |
---|
| 1228 | ! convert to Taylor series form |
---|
| 1229 | call taylor(i,xhalf(left:left+2),dd(1:3,left),c(1:3,i)) |
---|
| 1230 | enddo |
---|
| 1231 | ! |
---|
| 1232 | ! Evaluate the reconstruction on each cell |
---|
| 1233 | ! |
---|
| 1234 | do i = locind_parent_left,locind_parent_last |
---|
| 1235 | ! |
---|
| 1236 | pos = 1 |
---|
| 1237 | ! |
---|
| 1238 | do jj = ipos - coeffraf/2+diffmod,ipos + coeffraf/2 |
---|
| 1239 | ytemp(jj) = ( c(1,i)*(xbar(pos,2)-xbar(pos,1)) & |
---|
| 1240 | + c(2,i)*(xbar(pos,2)*xbar(pos,2) - & |
---|
| 1241 | xbar(pos,1)*xbar(pos,1)) & |
---|
| 1242 | + c(3,i)*(xbar(pos,2)*xbar(pos,2)*xbar(pos,2) - & |
---|
| 1243 | xbar(pos,1)*xbar(pos,1)*xbar(pos,1)) & |
---|
| 1244 | ) * coeffraf |
---|
| 1245 | pos = pos+1 |
---|
| 1246 | enddo |
---|
| 1247 | ipos = ipos + coeffraf |
---|
| 1248 | ! |
---|
| 1249 | enddo |
---|
| 1250 | ! |
---|
| 1251 | y(1:nc) = ytemp(1:nc) |
---|
| 1252 | deallocate(ytemp,xbar) |
---|
| 1253 | !--------------------------------------------------------------------------------------------------- |
---|
| 1254 | end subroutine ENO1d |
---|
| 1255 | !=================================================================================================== |
---|
| 1256 | ! |
---|
| 1257 | ! ************************************************************************** |
---|
| 1258 | !CC Subroutine ppm1d_lim |
---|
| 1259 | ! ************************************************************************** |
---|
| 1260 | ! |
---|
| 1261 | Subroutine ppm1d_lim(x,y,np,nc,s_parent,s_child,ds_parent,ds_child) |
---|
| 1262 | ! |
---|
| 1263 | !CC Description: |
---|
| 1264 | !CC Subroutine to do a 1D interpolation and apply monotonicity constraints |
---|
| 1265 | !CC using piecewise parabolic method |
---|
| 1266 | !CC on a child grid (vector y) from its parent grid (vector x). |
---|
| 1267 | !C Method: |
---|
| 1268 | ! |
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| 1269 | ! Declarations: |
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| 1270 | ! |
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| 1271 | Implicit none |
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| 1272 | ! |
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| 1273 | ! Arguments |
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| 1274 | Integer :: np,nc |
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| 1275 | Real, Dimension(np) :: x |
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| 1276 | Real, Dimension(nc) :: y |
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| 1277 | Real, Dimension(:),Allocatable :: ytemp |
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| 1278 | Real :: s_parent,s_child,ds_parent,ds_child |
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| 1279 | ! |
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| 1280 | ! Local scalars |
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| 1281 | Integer :: i,coeffraf,locind_parent_left,locind_parent_last |
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| 1282 | Integer :: iparent,ipos,pos,nmin,nmax |
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| 1283 | Real :: ypos |
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| 1284 | integer :: i1,jj |
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| 1285 | Real :: xpmin,cavg,a,b |
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| 1286 | ! |
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| 1287 | Real :: xrmin,xrmax,am3,s2,s1 |
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| 1288 | Real, Dimension(np) :: dela,xr,xl,delta,a6,slope,slope2 |
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| 1289 | Real, Dimension(:),Allocatable :: diff,diff2,diff3 |
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| 1290 | INTEGER :: diffmod |
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| 1291 | ! |
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| 1292 | coeffraf = nint(ds_parent/ds_child) |
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| 1293 | ! |
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| 1294 | If (coeffraf == 1) Then |
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| 1295 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
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| 1296 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
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| 1297 | return |
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| 1298 | End If |
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| 1299 | ! |
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| 1300 | Allocate(ytemp(-2*coeffraf:nc+2*coeffraf)) |
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| 1301 | ypos = s_child |
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| 1302 | ! |
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| 1303 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
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| 1304 | locind_parent_last = 1 + & |
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| 1305 | agrif_ceiling((ypos +(nc - 1) & |
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| 1306 | *ds_child - s_parent)/ds_parent) |
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| 1307 | ! |
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| 1308 | xpmin = s_parent + (locind_parent_left-1)*ds_parent |
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| 1309 | i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
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| 1310 | ! |
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| 1311 | Allocate( diff(coeffraf),diff2(coeffraf),diff3(coeffraf) ) |
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| 1312 | ! |
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| 1313 | diff(:) = ds_child/ds_parent |
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| 1314 | ! |
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| 1315 | Do i=1,coeffraf |
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| 1316 | a = real(i-1)*ds_child/ds_parent |
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| 1317 | b = real(i)*ds_child/ds_parent |
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| 1318 | diff2(i) = 0.5*(b*b - a*a) |
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| 1319 | diff3(i) = (1./3.)*(b*b*b - a*a*a) |
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| 1320 | End do |
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| 1321 | ! |
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| 1322 | if( locind_parent_last+2 <= np ) then |
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| 1323 | nmax = locind_parent_last+2 |
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| 1324 | else if( locind_parent_last+1 <= np ) then |
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| 1325 | nmax = locind_parent_last+1 |
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| 1326 | else |
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| 1327 | nmax = locind_parent_last |
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| 1328 | endif |
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| 1329 | ! |
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| 1330 | if(locind_parent_left-1 >= 1) then |
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| 1331 | nmin = locind_parent_left-1 |
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| 1332 | else |
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| 1333 | nmin = locind_parent_left |
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| 1334 | endif |
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| 1335 | ! |
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| 1336 | Do i = nmin,nmax |
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| 1337 | slope(i) = x(i) - x(i-1) |
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| 1338 | slope2(i) = 2.*abs(slope(i)) |
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| 1339 | Enddo |
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| 1340 | ! |
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| 1341 | Do i = nmin,nmax-1 |
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| 1342 | dela(i) = 0.5 * ( slope(i) + slope(i+1) ) |
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| 1343 | ! Van Leer slope limiter |
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| 1344 | dela(i) = min( abs(dela(i)),slope2(i), & |
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| 1345 | slope2(i+1) )*sign(1.,dela(i)) |
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| 1346 | IF( slope(i)*slope(i+1) <= 0. ) dela(i) = 0. |
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| 1347 | Enddo |
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| 1348 | ! |
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| 1349 | Do i = nmin,nmax-2 |
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| 1350 | xr(i) = x(i) + (1./2.)*slope(i+1) + (-1./6.)*dela(i+1) & |
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| 1351 | + ( 1./6. )*dela(i) |
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| 1352 | Enddo |
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| 1353 | ! |
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| 1354 | Do i = nmin,nmax-2 |
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| 1355 | xrmin = min(x(i),x(i+1)) |
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| 1356 | xrmax = max(x(i),x(i+1)) |
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| 1357 | xr(i) = min(xr(i),xrmax) |
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| 1358 | xr(i) = max(xr(i),xrmin) |
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| 1359 | xl(i+1) = xr(i) |
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| 1360 | Enddo |
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| 1361 | ! apply parabolic monotonicity |
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| 1362 | Do i = locind_parent_left,locind_parent_last |
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| 1363 | If( ( (xr(i)-x(i))* (x(i)-xl(i)) ) .le. 0. ) then |
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| 1364 | xl(i) = x(i) |
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| 1365 | xr(i) = x(i) |
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| 1366 | Endif |
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| 1367 | delta(i) = xr(i) - xl(i) |
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| 1368 | am3 = 3. * x(i) |
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| 1369 | s1 = am3 - 2. * xr(i) |
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| 1370 | s2 = am3 - 2. * xl(i) |
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| 1371 | IF( delta(i) * (xl(i) - s1) .le. 0. ) xl(i) = s1 |
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| 1372 | IF( delta(i) * (s2 - xr(i)) .le. 0. ) xr(i) = s2 |
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| 1373 | delta(i) = xr(i) - xl(i) |
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| 1374 | a6(i) = 6.*x(i)-3.*(xl(i) +xr(i)) |
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| 1375 | ! |
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| 1376 | End do |
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| 1377 | ! |
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| 1378 | diffmod = 0 |
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| 1379 | IF (mod(coeffraf,2) == 0) diffmod = 1 |
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| 1380 | ! |
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| 1381 | ipos = i1 |
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| 1382 | ! |
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| 1383 | Do iparent = locind_parent_left,locind_parent_last |
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| 1384 | pos=1 |
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| 1385 | cavg = 0. |
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| 1386 | Do jj = ipos - coeffraf/2+diffmod,ipos + coeffraf/2 |
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| 1387 | ! |
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| 1388 | ytemp(jj) = (diff(pos)*xl(iparent) & |
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| 1389 | + diff2(pos) & |
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| 1390 | * (delta(iparent)+a6(iparent)) & |
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| 1391 | - diff3(pos)*a6(iparent))*coeffraf |
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| 1392 | |
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| 1393 | cavg = cavg + ytemp(jj) |
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| 1394 | pos = pos+1 |
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| 1395 | End do |
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| 1396 | ipos = ipos + coeffraf |
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| 1397 | ! |
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| 1398 | End do |
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| 1399 | ! |
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| 1400 | ! |
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| 1401 | y(1:nc)=ytemp(1:nc) |
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| 1402 | deallocate(ytemp) |
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| 1403 | deallocate(diff, diff2, diff3) |
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| 1404 | Return |
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| 1405 | End Subroutine ppm1d_lim |
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| 1406 | !=================================================================================================== |
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| 1407 | ! subroutine taylor |
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| 1408 | !--------------------------------------------------------------------------------------------------- |
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| 1409 | subroutine taylor ( ind, xhalf, dd, c ) |
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| 1410 | !--------------------------------------------------------------------------------------------------- |
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| 1411 | integer, intent(in) :: ind |
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| 1412 | real, dimension(3), intent(in) :: xhalf |
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| 1413 | real, dimension(3), intent(in) :: dd |
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| 1414 | real, dimension(3), intent(out) :: c |
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| 1415 | ! |
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| 1416 | real, dimension(0:3,0:3) :: d |
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| 1417 | integer :: i, j |
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| 1418 | ! |
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| 1419 | d(0,0:3) = 1.0 |
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| 1420 | do i = 1,3 |
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| 1421 | d(i,0) = (ind-xhalf(i))*d(i-1,0) |
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| 1422 | enddo |
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| 1423 | ! |
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| 1424 | do i = 1,3 |
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| 1425 | do j = 1,3-i |
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| 1426 | d(i,j) = d(i,j-1) + (ind-xhalf(i+j))*d(i-1,j) |
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| 1427 | enddo |
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| 1428 | enddo |
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| 1429 | ! |
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| 1430 | do j = 1,3 |
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| 1431 | c(j) = 0. |
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| 1432 | do i=0,3-j |
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| 1433 | c(j) = c(j) + d(i,j)*dd(i+j) |
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| 1434 | enddo |
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| 1435 | enddo |
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| 1436 | !--------------------------------------------------------------------------------------------------- |
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| 1437 | end subroutine taylor |
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| 1438 | !=================================================================================================== |
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| 1439 | ! |
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| 1440 | !=================================================================================================== |
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| 1441 | ! function Agrif_limiter_vanleer |
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| 1442 | !--------------------------------------------------------------------------------------------------- |
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| 1443 | real function Agrif_limiter_vanleer ( tab ) result(res) |
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| 1444 | !--------------------------------------------------------------------------------------------------- |
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| 1445 | real, dimension(3), intent(in) :: tab |
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| 1446 | ! |
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| 1447 | real :: p1, p2, p3 |
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| 1448 | |
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| 1449 | p1 = (tab(3)-tab(1))/2. |
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| 1450 | p2 = 2.*(tab(2)-tab(1)) |
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| 1451 | p3 = 2.*(tab(3)-tab(2)) |
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| 1452 | |
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| 1453 | if ((p1>0.).AND.(p2>0.).AND.(p3>0)) then |
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| 1454 | res = minval((/p1,p2,p3/)) |
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| 1455 | elseif ((p1<0.).AND.(p2<0.).AND.(p3<0)) then |
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| 1456 | res = maxval((/p1,p2,p3/)) |
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| 1457 | else |
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| 1458 | res=0. |
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| 1459 | endif |
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| 1460 | !--------------------------------------------------------------------------------------------------- |
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| 1461 | end function Agrif_limiter_vanleer |
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| 1462 | !=================================================================================================== |
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| 1463 | ! |
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| 1464 | end module Agrif_InterpBasic |
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