| 1 | ! |
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| 2 | ! $Id$ |
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| 3 | ! |
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| 4 | C AGRIF (Adaptive Grid Refinement In Fortran) |
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| 5 | C |
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| 6 | C Copyright (C) 2003 Laurent Debreu (Laurent.Debreu@imag.fr) |
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| 7 | C Christophe Vouland (Christophe.Vouland@imag.fr) |
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| 8 | C |
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| 9 | C This program is free software; you can redistribute it and/or modify |
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| 10 | C it under the terms of the GNU General Public License as published by |
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| 11 | C the Free Software Foundation; either version 2 of the License, or |
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| 12 | C (at your option) any later version. |
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| 13 | C |
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| 14 | C This program is distributed in the hope that it will be useful, |
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| 15 | C but WITHOUT ANY WARRANTY; without even the implied warranty of |
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| 16 | C MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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| 17 | C GNU General Public License for more details. |
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| 18 | C |
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| 19 | C You should have received a copy of the GNU General Public License |
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| 20 | C along with this program; if not, write to the Free Software |
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| 21 | C Foundation, Inc., 59 Temple Place- Suite 330, Boston, MA 02111-1307, USA. |
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| 22 | C |
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| 23 | C |
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| 24 | C |
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| 25 | CCC Module Agrif_Interpbasic |
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| 26 | C |
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| 27 | Module Agrif_Interpbasic |
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| 28 | C |
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| 29 | CCC Description: |
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| 30 | CCC Module containing different procedures of interpolation (linear,lagrange, |
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| 31 | CCC spline,...) used in the Agrif_Interpolation module. |
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| 32 | C |
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| 33 | C Modules used: |
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| 34 | USE Agrif_types |
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| 35 | C |
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| 36 | IMPLICIT NONE |
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| 37 | C |
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| 38 | Real,Dimension(Agrif_MaxRaff) :: tabdiff2, tabdiff3 |
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| 39 | Real,Dimension(:),Allocatable::tabtest4 |
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| 40 | |
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| 41 | CONTAINS |
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| 42 | C Define procedures contained in this module |
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| 43 | C |
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| 44 | C ************************************************************************** |
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| 45 | CCC Subroutine Linear1d |
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| 46 | C ************************************************************************** |
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| 47 | C |
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| 48 | Subroutine Linear1d(x,y,np,nc, |
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| 49 | & s_parent,s_child,ds_parent,ds_child) |
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| 50 | C |
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| 51 | CCC Description: |
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| 52 | CCC Subroutine to do a linear 1D interpolation on a child grid (vector y) from |
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| 53 | CCC its parent grid (vector x). |
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| 54 | C |
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| 55 | CC Method: |
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| 56 | C |
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| 57 | C Declarations: |
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| 58 | C |
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| 59 | |
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| 60 | C |
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| 61 | C Arguments |
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| 62 | INTEGER :: np,nc |
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| 63 | REAL,INTENT(IN), DIMENSION(np) :: x |
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| 64 | REAL,INTENT(OUT), DIMENSION(nc) :: y |
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| 65 | REAL :: s_parent,s_child,ds_parent,ds_child |
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| 66 | C |
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| 67 | C Local scalars |
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| 68 | INTEGER :: i,coeffraf,locind_parent_left |
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| 69 | REAL :: ypos,globind_parent_left,globind_parent_right |
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| 70 | REAL :: invds, invds2 |
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| 71 | REAL :: ypos2,diff |
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| 72 | C |
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| 73 | C |
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| 74 | |
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| 75 | coeffraf = nint(ds_parent/ds_child) |
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| 76 | C |
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| 77 | if (coeffraf == 1) then |
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| 78 | C |
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| 79 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
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| 80 | C |
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| 81 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
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| 82 | C |
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| 83 | return |
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| 84 | C |
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| 85 | endif |
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| 86 | C |
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| 87 | ypos = s_child |
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| 88 | |
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| 89 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
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| 90 | |
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| 91 | globind_parent_left = s_parent |
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| 92 | & + (locind_parent_left - 1)*ds_parent |
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| 93 | |
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| 94 | globind_parent_right = globind_parent_left + ds_parent |
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| 95 | |
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| 96 | C |
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| 97 | invds = 1./ds_parent |
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| 98 | invds2 = ds_child/ds_parent |
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| 99 | |
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| 100 | ypos2 = ypos*invds |
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| 101 | globind_parent_right=globind_parent_right*invds |
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| 102 | |
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| 103 | do i = 1,nc-1 |
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| 104 | C |
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| 105 | if (ypos2 > globind_parent_right) then |
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| 106 | locind_parent_left = locind_parent_left + 1. |
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| 107 | globind_parent_right = globind_parent_right + 1. |
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| 108 | endif |
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| 109 | |
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| 110 | diff=(globind_parent_right - ypos2) |
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| 111 | |
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| 112 | y(i) = (diff*x(locind_parent_left) |
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| 113 | & + (1.-diff)*x(locind_parent_left+1)) |
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| 114 | C |
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| 115 | ypos2 = ypos2 + invds2 |
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| 116 | C |
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| 117 | enddo |
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| 118 | C |
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| 119 | ypos = s_child + (nc-1)*ds_child |
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| 120 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
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| 121 | C |
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| 122 | if (locind_parent_left == np) then |
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| 123 | C |
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| 124 | y(nc) = x(np) |
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| 125 | C |
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| 126 | else |
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| 127 | C |
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| 128 | globind_parent_left = s_parent |
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| 129 | & + (locind_parent_left - 1)*ds_parent |
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| 130 | C |
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| 131 | y(nc) = ((globind_parent_left + ds_parent - ypos) |
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| 132 | & *x(locind_parent_left) |
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| 133 | & + (ypos - globind_parent_left) |
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| 134 | & *x(locind_parent_left+1))*invds |
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| 135 | C |
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| 136 | endif |
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| 137 | C |
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| 138 | Return |
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| 139 | C |
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| 140 | C |
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| 141 | End Subroutine Linear1d |
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| 142 | |
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| 143 | C |
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| 144 | C |
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| 145 | C |
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| 146 | C ************************************************************************** |
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| 147 | CCC Subroutine Lagrange1d |
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| 148 | C ************************************************************************** |
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| 149 | C |
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| 150 | Subroutine Lagrange1d(x,y,np,nc, |
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| 151 | & s_parent,s_child,ds_parent,ds_child) |
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| 152 | C |
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| 153 | CCC Description: |
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| 154 | CCC Subroutine to do a lagrange 1D interpolation on a child grid (vector y) |
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| 155 | CCC from its parent grid (vector x). |
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| 156 | C |
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| 157 | CC Method: |
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| 158 | C |
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| 159 | C Declarations: |
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| 160 | C |
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| 161 | |
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| 162 | C |
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| 163 | C Arguments |
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| 164 | INTEGER :: np,nc |
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| 165 | REAL,INTENT(IN), DIMENSION(np) :: x |
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| 166 | REAL,INTENT(OUT), DIMENSION(nc) :: y |
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| 167 | REAL :: s_parent,s_child,ds_parent,ds_child |
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| 168 | C |
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| 169 | C Local scalars |
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| 170 | INTEGER :: i,coeffraf,locind_parent_left |
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| 171 | REAL :: ypos,globind_parent_left |
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| 172 | REAL :: X1,X2,X3 |
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| 173 | real :: deltax,invdsparent |
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| 174 | real t1,t2,t3,t4,t5,t6,t7,t8 |
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| 175 | C |
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| 176 | C |
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| 177 | if (np <= 2) then |
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| 178 | C |
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| 179 | Call Linear1D(x,y,np,nc, |
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| 180 | & s_parent,s_child,ds_parent,ds_child) |
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| 181 | C |
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| 182 | Return |
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| 183 | C |
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| 184 | endif |
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| 185 | C |
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| 186 | coeffraf = nint(ds_parent/ds_child) |
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| 187 | C |
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| 188 | if (coeffraf == 1) then |
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| 189 | C |
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| 190 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
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| 191 | C |
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| 192 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
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| 193 | C |
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| 194 | return |
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| 195 | C |
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| 196 | endif |
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| 197 | |
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| 198 | invdsparent=1./ds_parent |
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| 199 | C |
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| 200 | ypos = s_child |
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| 201 | C |
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| 202 | do i = 1,nc |
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| 203 | C |
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| 204 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
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| 205 | C |
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| 206 | |
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| 207 | globind_parent_left = s_parent |
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| 208 | & + (locind_parent_left - 1)*ds_parent |
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| 209 | |
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| 210 | deltax = invdsparent*(ypos-globind_parent_left) |
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| 211 | ypos = ypos + ds_child |
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| 212 | if (abs(deltax).LE.0.0001) then |
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| 213 | y(i)=x(locind_parent_left) |
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| 214 | |
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| 215 | cycle |
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| 216 | endif |
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| 217 | C |
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| 218 | C |
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| 219 | t2 = deltax - 2. |
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| 220 | t3 = deltax - 1. |
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| 221 | t4 = deltax + 1. |
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| 222 | |
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| 223 | t5 = -(1./6.)*deltax*t2*t3 |
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| 224 | t6 = 0.5*t2*t3*t4 |
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| 225 | t7 = -0.5*deltax*t2*t4 |
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| 226 | t8 = (1./6.)*deltax*t3*t4 |
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| 227 | |
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| 228 | y(i)=t5*x(locind_parent_left-1)+t6*x(locind_parent_left) |
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| 229 | & +t7*x(locind_parent_left+1)+t8*x(locind_parent_left+2) |
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| 230 | C |
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| 231 | C |
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| 232 | enddo |
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| 233 | C |
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| 234 | return |
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| 235 | C |
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| 236 | C |
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| 237 | End Subroutine Lagrange1d |
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| 238 | C |
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| 239 | C |
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| 240 | C ************************************************************************** |
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| 241 | CCC Subroutine Constant1d |
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| 242 | C ************************************************************************** |
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| 243 | C |
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| 244 | Subroutine constant1d(x,y,np,nc, |
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| 245 | & s_parent,s_child,ds_parent,ds_child) |
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| 246 | C |
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| 247 | CCC Description: |
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| 248 | CCC Subroutine to do a linear 1D interpolation on a child grid (vector y) from |
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| 249 | CCC its parent grid (vector x). |
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| 250 | C |
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| 251 | CC Method: |
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| 252 | C |
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| 253 | C Declarations: |
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| 254 | C |
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| 255 | |
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| 256 | C |
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| 257 | C Arguments |
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| 258 | INTEGER :: np,nc |
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| 259 | REAL,INTENT(IN), DIMENSION(np) :: x |
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| 260 | REAL,INTENT(OUT), DIMENSION(nc) :: y |
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| 261 | REAL :: s_parent,s_child,ds_parent,ds_child |
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| 262 | C |
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| 263 | C Local scalars |
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| 264 | INTEGER :: i,coeffraf,locind_parent |
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| 265 | REAL :: ypos |
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| 266 | C |
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| 267 | C |
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| 268 | |
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| 269 | coeffraf = nint(ds_parent/ds_child) |
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| 270 | C |
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| 271 | if (coeffraf == 1) then |
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| 272 | C |
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| 273 | locind_parent = 1 + nint((s_child - s_parent)/ds_parent) |
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| 274 | C |
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| 275 | y(1:nc) = x(locind_parent:locind_parent+nc-1) |
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| 276 | C |
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| 277 | return |
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| 278 | C |
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| 279 | endif |
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| 280 | C |
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| 281 | ypos = s_child |
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| 282 | C |
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| 283 | do i = 1,nc |
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| 284 | C |
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| 285 | locind_parent = 1 + nint((ypos - s_parent)/ds_parent) |
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| 286 | C |
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| 287 | y(i) = x(locind_parent) |
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| 288 | C |
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| 289 | ypos = ypos + ds_child |
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| 290 | C |
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| 291 | enddo |
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| 292 | C |
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| 293 | Return |
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| 294 | C |
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| 295 | C |
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| 296 | End Subroutine constant1d |
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| 297 | C |
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| 298 | C ************************************************************************** |
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| 299 | CCC Subroutine Linear1dconserv |
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| 300 | C ************************************************************************** |
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| 301 | C |
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| 302 | Subroutine Linear1dconserv(x,y,np,nc, |
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| 303 | & s_parent,s_child,ds_parent,ds_child) |
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| 304 | C |
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| 305 | CCC Description: |
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| 306 | CCC Subroutine to do a linear 1D interpolation on a child grid (vector y) from |
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| 307 | CCC its parent grid (vector x). |
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| 308 | C |
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| 309 | CC Method: |
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| 310 | C |
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| 311 | C Declarations: |
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| 312 | C |
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| 313 | Implicit none |
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| 314 | C |
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| 315 | C Arguments |
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| 316 | Integer :: np,nc |
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| 317 | Real, Dimension(np) :: x |
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| 318 | Real, Dimension(nc) :: y |
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| 319 | Real, Dimension(:),Allocatable :: ytemp |
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| 320 | Real :: s_parent,s_child,ds_parent,ds_child |
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| 321 | C |
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| 322 | C Local scalars |
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| 323 | Integer :: i,coeffraf,locind_parent_left,locind_parent_last |
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| 324 | Real :: ypos |
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| 325 | integer :: i1,i2,ii |
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| 326 | real :: xpmin,xpmax,slope |
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| 327 | INTEGER :: diffmod |
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| 328 | REAL :: xdiffmod |
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| 329 | |
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| 330 | C |
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| 331 | C |
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| 332 | |
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| 333 | coeffraf = nint(ds_parent/ds_child) |
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| 334 | C |
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| 335 | If (coeffraf == 1) Then |
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| 336 | C |
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| 337 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
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| 338 | C |
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| 339 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
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| 340 | C |
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| 341 | return |
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| 342 | C |
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| 343 | End If |
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| 344 | C |
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| 345 | diffmod = 0 |
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| 346 | IF (mod(coeffraf,2) == 0) diffmod = 1 |
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| 347 | |
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| 348 | xdiffmod = real(diffmod)/2. |
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| 349 | |
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| 350 | allocate(ytemp(-2*coeffraf:nc+2*coeffraf)) |
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| 351 | C |
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| 352 | ypos = s_child |
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| 353 | C |
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| 354 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
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| 355 | |
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| 356 | locind_parent_last = 1 + |
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| 357 | & agrif_ceiling((ypos +(nc - 1) *ds_child - s_parent)/ds_parent) |
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| 358 | |
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| 359 | xpmin = s_parent + (locind_parent_left-1)*ds_parent |
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| 360 | xpmax = s_parent + (locind_parent_last-1)*ds_parent |
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| 361 | |
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| 362 | i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
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| 363 | i2 = 1+agrif_int((xpmax-s_child)/ds_child) |
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| 364 | |
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| 365 | i = i1 |
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| 366 | |
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| 367 | if (locind_parent_left == 1) then |
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| 368 | slope= |
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| 369 | & (x(locind_parent_left+1)-x(locind_parent_left))/(coeffraf) |
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| 370 | else |
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| 371 | slope= |
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| 372 | & (x(locind_parent_left+1)-x(locind_parent_left-1))/(2.*coeffraf) |
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| 373 | endif |
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| 374 | |
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| 375 | do ii=i-coeffraf/2+diffmod,i+coeffraf/2 |
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| 376 | ytemp(ii) = x(locind_parent_left)+(ii-i-xdiffmod/2.)*slope |
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| 377 | enddo |
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| 378 | |
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| 379 | locind_parent_left = locind_parent_left + 1 |
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| 380 | |
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| 381 | do i=i1 + coeffraf, i2 - coeffraf,coeffraf |
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| 382 | slope= |
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| 383 | & (x(locind_parent_left+1)-x(locind_parent_left-1))/(2.*coeffraf) |
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| 384 | do ii=i-coeffraf/2+diffmod,i+coeffraf/2 |
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| 385 | ytemp(ii) = x(locind_parent_left)+(ii-i-xdiffmod/2.)*slope |
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| 386 | enddo |
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| 387 | locind_parent_left = locind_parent_left + 1 |
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| 388 | enddo |
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| 389 | |
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| 390 | i = i2 |
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| 391 | |
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| 392 | if (locind_parent_left == np) then |
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| 393 | slope= |
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| 394 | & (x(locind_parent_left)-x(locind_parent_left-1))/(coeffraf) |
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| 395 | else |
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| 396 | slope= |
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| 397 | & (x(locind_parent_left+1)-x(locind_parent_left-1))/(2.*coeffraf) |
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| 398 | endif |
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| 399 | |
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| 400 | do ii=i-coeffraf/2+diffmod,nc |
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| 401 | ytemp(ii) = x(locind_parent_left)+(ii-i-xdiffmod/2.)*slope |
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| 402 | enddo |
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| 403 | C |
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| 404 | y(1:nc)=ytemp(1:nc) |
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| 405 | C |
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| 406 | deallocate(ytemp) |
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| 407 | Return |
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| 408 | C |
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| 409 | End Subroutine Linear1dconserv |
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| 410 | |
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| 411 | C |
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| 412 | C ************************************************************************** |
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| 413 | CCC Subroutine Linear1dconservlim |
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| 414 | C ************************************************************************** |
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| 415 | C |
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| 416 | Subroutine Linear1dconservlim(x,y,np,nc, |
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| 417 | & s_parent,s_child,ds_parent,ds_child) |
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| 418 | C |
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| 419 | CCC Description: |
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| 420 | CCC Subroutine to do a linear 1D interpolation on a child grid (vector y) from |
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| 421 | CCC its parent grid (vector x). |
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| 422 | C |
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| 423 | CC Method: |
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| 424 | C |
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| 425 | C Declarations: |
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| 426 | C |
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| 427 | Implicit none |
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| 428 | C |
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| 429 | C Arguments |
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| 430 | Integer :: np,nc |
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| 431 | Real, Dimension(np) :: x |
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| 432 | Real, Dimension(nc) :: y |
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| 433 | Real, Dimension(:),Allocatable :: ytemp |
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| 434 | Real :: s_parent,s_child,ds_parent,ds_child |
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| 435 | C |
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| 436 | C Local scalars |
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| 437 | Integer :: i,coeffraf,locind_parent_left,locind_parent_last |
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| 438 | Real :: ypos |
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| 439 | integer :: i1,i2,ii |
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| 440 | real :: xpmin,xpmax,slope |
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| 441 | INTEGER :: diffmod |
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| 442 | real :: xdiffmod |
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| 443 | C |
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| 444 | C |
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| 445 | |
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| 446 | coeffraf = nint(ds_parent/ds_child) |
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| 447 | C |
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| 448 | If (coeffraf == 1) Then |
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| 449 | C |
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| 450 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
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| 451 | C |
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| 452 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
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| 453 | C |
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| 454 | return |
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| 455 | C |
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| 456 | End If |
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| 457 | C |
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| 458 | IF (coeffraf .NE.3) THEN |
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| 459 | print *,'LINEARCONSERVLIM not ready for refinement ratio = ', |
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| 460 | & coeffraf |
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| 461 | stop |
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| 462 | ENDIF |
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| 463 | |
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| 464 | diffmod = 0 |
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| 465 | IF (mod(coeffraf,2) == 0) diffmod = 1 |
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| 466 | |
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| 467 | xdiffmod = real(diffmod)/2. |
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| 468 | |
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| 469 | allocate(ytemp(-2*coeffraf:nc+2*coeffraf)) |
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| 470 | C |
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| 471 | ypos = s_child |
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| 472 | C |
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| 473 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
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| 474 | |
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| 475 | locind_parent_last = 1 + |
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| 476 | & agrif_ceiling((ypos +(nc - 1) *ds_child - s_parent)/ds_parent) |
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| 477 | |
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| 478 | xpmin = s_parent + (locind_parent_left-1)*ds_parent |
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| 479 | xpmax = s_parent + (locind_parent_last-1)*ds_parent |
|---|
| 480 | |
|---|
| 481 | i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
|---|
| 482 | i2 = 1+agrif_int((xpmax-s_child)/ds_child) |
|---|
| 483 | |
|---|
| 484 | i = i1 |
|---|
| 485 | |
|---|
| 486 | if (locind_parent_left == 1) then |
|---|
| 487 | slope=0. |
|---|
| 488 | else |
|---|
| 489 | slope = vanleer(x(locind_parent_left-1:locind_parent_left+1)) |
|---|
| 490 | slope = slope / coeffraf |
|---|
| 491 | endif |
|---|
| 492 | |
|---|
| 493 | do ii=i-coeffraf/2+diffmod,i+coeffraf/2 |
|---|
| 494 | ytemp(ii) = x(locind_parent_left)+(ii-i-xdiffmod/2.)*slope |
|---|
| 495 | enddo |
|---|
| 496 | |
|---|
| 497 | locind_parent_left = locind_parent_left + 1 |
|---|
| 498 | |
|---|
| 499 | do i=i1 + coeffraf, i2 - coeffraf,coeffraf |
|---|
| 500 | slope = vanleer(x(locind_parent_left-1:locind_parent_left+1)) |
|---|
| 501 | slope = slope / coeffraf |
|---|
| 502 | |
|---|
| 503 | do ii=i-coeffraf/2+diffmod,i+coeffraf/2 |
|---|
| 504 | ytemp(ii) = x(locind_parent_left)+(ii-i-xdiffmod/2.)*slope |
|---|
| 505 | enddo |
|---|
| 506 | locind_parent_left = locind_parent_left + 1 |
|---|
| 507 | enddo |
|---|
| 508 | |
|---|
| 509 | i = i2 |
|---|
| 510 | |
|---|
| 511 | if (locind_parent_left == np) then |
|---|
| 512 | slope=0. |
|---|
| 513 | else |
|---|
| 514 | slope = vanleer(x(locind_parent_left-1:locind_parent_left+1)) |
|---|
| 515 | slope = slope / coeffraf |
|---|
| 516 | endif |
|---|
| 517 | |
|---|
| 518 | do ii=i-coeffraf/2+diffmod,nc |
|---|
| 519 | ytemp(ii) = x(locind_parent_left)+(ii-i-xdiffmod/2.)*slope |
|---|
| 520 | enddo |
|---|
| 521 | C |
|---|
| 522 | y(1:nc)=ytemp(1:nc) |
|---|
| 523 | C |
|---|
| 524 | deallocate(ytemp) |
|---|
| 525 | Return |
|---|
| 526 | C |
|---|
| 527 | End Subroutine Linear1dconservlim |
|---|
| 528 | C |
|---|
| 529 | |
|---|
| 530 | C ************************************************************************** |
|---|
| 531 | CCC Subroutine ppm1d |
|---|
| 532 | C ************************************************************************** |
|---|
| 533 | C |
|---|
| 534 | Subroutine ppm1d(x,y,np,nc, |
|---|
| 535 | & s_parent,s_child,ds_parent,ds_child) |
|---|
| 536 | C |
|---|
| 537 | CCC Description: |
|---|
| 538 | CCC Subroutine to do a 1D interpolation and apply monotonicity constraints |
|---|
| 539 | CCC using piecewise parabolic method |
|---|
| 540 | CCC on a child grid (vector y) from its parent grid (vector x). |
|---|
| 541 | CC Method: |
|---|
| 542 | C |
|---|
| 543 | C Declarations: |
|---|
| 544 | C |
|---|
| 545 | Implicit none |
|---|
| 546 | C |
|---|
| 547 | C Arguments |
|---|
| 548 | Integer :: np,nc |
|---|
| 549 | Real, INTENT(IN),Dimension(np) :: x |
|---|
| 550 | Real, INTENT(OUT),Dimension(nc) :: y |
|---|
| 551 | C Real, Dimension(:),Allocatable :: ytemp |
|---|
| 552 | Real :: s_parent,s_child,ds_parent,ds_child |
|---|
| 553 | C |
|---|
| 554 | C Local scalars |
|---|
| 555 | Integer :: i,coeffraf,locind_parent_left,locind_parent_last |
|---|
| 556 | Integer :: iparent,ipos,pos,nmin,nmax |
|---|
| 557 | Real :: ypos |
|---|
| 558 | integer :: i1,jj |
|---|
| 559 | Real :: xpmin,a |
|---|
| 560 | C |
|---|
| 561 | Real :: xrmin,xrmax,am3,s2,s1 |
|---|
| 562 | Real, Dimension(np) :: xl,delta,a6,slope |
|---|
| 563 | C Real, Dimension(:),Allocatable :: diff,diff2,diff3 |
|---|
| 564 | INTEGER :: diffmod |
|---|
| 565 | REAL :: invcoeffraf |
|---|
| 566 | C |
|---|
| 567 | coeffraf = nint(ds_parent/ds_child) |
|---|
| 568 | C |
|---|
| 569 | If (coeffraf == 1) Then |
|---|
| 570 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
|---|
| 571 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
|---|
| 572 | return |
|---|
| 573 | End If |
|---|
| 574 | invcoeffraf = ds_child/ds_parent |
|---|
| 575 | C |
|---|
| 576 | |
|---|
| 577 | IF( .NOT. allocated(tabtest4) ) THEN |
|---|
| 578 | Allocate(tabtest4(-2*coeffraf:nc+2*coeffraf)) |
|---|
| 579 | ELSE |
|---|
| 580 | IF (size(tabtest4) .LT. nc+4*coeffraf+1)THEN |
|---|
| 581 | deallocate( tabtest4 ) |
|---|
| 582 | Allocate(tabtest4(-2*coeffraf:nc+2*coeffraf)) |
|---|
| 583 | ENDIF |
|---|
| 584 | ENDIF |
|---|
| 585 | ypos = s_child |
|---|
| 586 | C |
|---|
| 587 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
|---|
| 588 | locind_parent_last = 1 + |
|---|
| 589 | & agrif_ceiling((ypos +(nc - 1) |
|---|
| 590 | & *ds_child - s_parent)/ds_parent) |
|---|
| 591 | C |
|---|
| 592 | xpmin = s_parent + (locind_parent_left-1)*ds_parent |
|---|
| 593 | i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
|---|
| 594 | C |
|---|
| 595 | C |
|---|
| 596 | |
|---|
| 597 | Do i=1,coeffraf |
|---|
| 598 | tabdiff2(i)=(real(i)-0.5)*invcoeffraf |
|---|
| 599 | EndDo |
|---|
| 600 | |
|---|
| 601 | a = invcoeffraf**2 |
|---|
| 602 | tabdiff3(1) = (1./3.)*a |
|---|
| 603 | a=2.*a |
|---|
| 604 | Do i=2,coeffraf |
|---|
| 605 | tabdiff3(i) = tabdiff3(i-1)+(real(i)-1)*a |
|---|
| 606 | EndDo |
|---|
| 607 | C |
|---|
| 608 | if( locind_parent_last+2 <= np ) then |
|---|
| 609 | nmax = locind_parent_last+2 |
|---|
| 610 | else if( locind_parent_last+1 <= np ) then |
|---|
| 611 | nmax = locind_parent_last+1 |
|---|
| 612 | else |
|---|
| 613 | nmax = locind_parent_last |
|---|
| 614 | endif |
|---|
| 615 | C |
|---|
| 616 | if(locind_parent_left-1 >= 1) then |
|---|
| 617 | nmin = locind_parent_left-1 |
|---|
| 618 | else |
|---|
| 619 | nmin = locind_parent_left |
|---|
| 620 | endif |
|---|
| 621 | C |
|---|
| 622 | C |
|---|
| 623 | Do i = nmin,nmax |
|---|
| 624 | slope(i) = x(i) - x(i-1) |
|---|
| 625 | Enddo |
|---|
| 626 | |
|---|
| 627 | Do i = nmin+1,nmax-1 |
|---|
| 628 | xl(i)= 0.5*(x(i-1)+x(i)) |
|---|
| 629 | & -0.08333333333333*(slope(i+1)-slope(i-1)) |
|---|
| 630 | Enddo |
|---|
| 631 | C |
|---|
| 632 | C apply parabolic monotonicity |
|---|
| 633 | Do i = locind_parent_left,locind_parent_last |
|---|
| 634 | delta(i) = xl(i+1) - xl(i) |
|---|
| 635 | a6(i) = 6.*x(i)-3.*(xl(i) +xl(i+1)) |
|---|
| 636 | C |
|---|
| 637 | End do |
|---|
| 638 | C |
|---|
| 639 | diffmod = 0 |
|---|
| 640 | IF (mod(coeffraf,2) == 0) diffmod = 1 |
|---|
| 641 | C |
|---|
| 642 | ipos = i1 |
|---|
| 643 | C |
|---|
| 644 | Do iparent = locind_parent_left,locind_parent_last |
|---|
| 645 | pos=1 |
|---|
| 646 | Do jj = ipos - coeffraf/2+diffmod,ipos + coeffraf/2 |
|---|
| 647 | C |
|---|
| 648 | tabtest4(jj) = xl(iparent) |
|---|
| 649 | & + tabdiff2(pos) * (delta(iparent)+a6(iparent)) |
|---|
| 650 | & - tabdiff3(pos) * a6(iparent) |
|---|
| 651 | pos = pos+1 |
|---|
| 652 | End do |
|---|
| 653 | ipos = ipos + coeffraf |
|---|
| 654 | C |
|---|
| 655 | End do |
|---|
| 656 | C |
|---|
| 657 | C |
|---|
| 658 | y(1:nc)=tabtest4(1:nc) |
|---|
| 659 | |
|---|
| 660 | Return |
|---|
| 661 | End Subroutine ppm1d |
|---|
| 662 | |
|---|
| 663 | C ************************************************************************** |
|---|
| 664 | CCC Subroutine weno1d |
|---|
| 665 | C ************************************************************************** |
|---|
| 666 | C |
|---|
| 667 | Subroutine weno1dnew(x,y,np,nc, |
|---|
| 668 | & s_parent,s_child,ds_parent,ds_child) |
|---|
| 669 | C |
|---|
| 670 | CCC Description: |
|---|
| 671 | CCC Subroutine to do a 1D interpolation and apply monotonicity constraints |
|---|
| 672 | CCC using piecewise parabolic method |
|---|
| 673 | CCC on a child grid (vector y) from its parent grid (vector x). |
|---|
| 674 | CC Method: |
|---|
| 675 | C |
|---|
| 676 | C Declarations: |
|---|
| 677 | C |
|---|
| 678 | Implicit none |
|---|
| 679 | C |
|---|
| 680 | C Arguments |
|---|
| 681 | Integer :: np,nc |
|---|
| 682 | Real, Dimension(np) :: x |
|---|
| 683 | Real, Dimension(nc) :: y |
|---|
| 684 | Real, Dimension(:),Allocatable :: ytemp |
|---|
| 685 | Real :: s_parent,s_child,ds_parent,ds_child |
|---|
| 686 | C |
|---|
| 687 | C Local scalars |
|---|
| 688 | Integer :: i,coeffraf,locind_parent_left,locind_parent_last |
|---|
| 689 | Integer :: iparent,ipos,pos,nmin,nmax |
|---|
| 690 | Real :: ypos |
|---|
| 691 | integer :: i1,jj |
|---|
| 692 | Real :: xpmin,cavg,a,b |
|---|
| 693 | C |
|---|
| 694 | Real :: xrmin,xrmax,am3,s2,s1 |
|---|
| 695 | Real, Dimension(np) :: xr,xl,delta,a6,slope,slope2,smooth |
|---|
| 696 | Real, Dimension(:),Allocatable :: diff,diff2,diff3 |
|---|
| 697 | INTEGER :: diffmod |
|---|
| 698 | REAL :: invcoeffraf |
|---|
| 699 | integer :: s,l,k |
|---|
| 700 | integer :: etan, etap |
|---|
| 701 | real :: delta0, delta1, delta2 |
|---|
| 702 | real :: epsilon |
|---|
| 703 | parameter (epsilon = 1.D-8) |
|---|
| 704 | real, dimension(:,:), allocatable :: ak, ck |
|---|
| 705 | C |
|---|
| 706 | coeffraf = nint(ds_parent/ds_child) |
|---|
| 707 | C |
|---|
| 708 | If (coeffraf == 1) Then |
|---|
| 709 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
|---|
| 710 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
|---|
| 711 | return |
|---|
| 712 | End If |
|---|
| 713 | invcoeffraf = ds_child/ds_parent |
|---|
| 714 | Allocate(ak(0:1,coeffraf)) |
|---|
| 715 | Allocate(ck(0:1,coeffraf)) |
|---|
| 716 | |
|---|
| 717 | C |
|---|
| 718 | Allocate(ytemp(-2*coeffraf:nc+2*coeffraf)) |
|---|
| 719 | ypos = s_child |
|---|
| 720 | C |
|---|
| 721 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
|---|
| 722 | locind_parent_last = 1 + |
|---|
| 723 | & agrif_ceiling((ypos +(nc - 1) |
|---|
| 724 | & *ds_child - s_parent)/ds_parent) |
|---|
| 725 | C |
|---|
| 726 | xpmin = s_parent + (locind_parent_left-1)*ds_parent |
|---|
| 727 | i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
|---|
| 728 | C |
|---|
| 729 | Allocate( diff(coeffraf),diff2(coeffraf),diff3(coeffraf) ) |
|---|
| 730 | C |
|---|
| 731 | diff(1)=0.5*invcoeffraf |
|---|
| 732 | do i=2,coeffraf |
|---|
| 733 | diff(i) = diff(i-1)+invcoeffraf |
|---|
| 734 | enddo |
|---|
| 735 | |
|---|
| 736 | ak = 0. |
|---|
| 737 | ck = 0. |
|---|
| 738 | |
|---|
| 739 | do i=1,coeffraf |
|---|
| 740 | do k=0,1 |
|---|
| 741 | do s=0,2 |
|---|
| 742 | do l=0,2 |
|---|
| 743 | if (l /= s) then |
|---|
| 744 | ak(k,i) = ak(k,i)+(diff(i)-(k-l+1.)) |
|---|
| 745 | endif |
|---|
| 746 | enddo |
|---|
| 747 | enddo |
|---|
| 748 | enddo |
|---|
| 749 | |
|---|
| 750 | etap = 0 |
|---|
| 751 | etan = 0 |
|---|
| 752 | do k=0,1 |
|---|
| 753 | if (ak(k,i) > 0) then |
|---|
| 754 | etap = etap+1 |
|---|
| 755 | else if (ak(k,i) < 0) then |
|---|
| 756 | etan = etan + 1 |
|---|
| 757 | endif |
|---|
| 758 | enddo |
|---|
| 759 | |
|---|
| 760 | do k=0,1 |
|---|
| 761 | if (ak(k,i) == 0) then |
|---|
| 762 | Ck(k,i) = 1. |
|---|
| 763 | else if (ak(k,i) > 0) then |
|---|
| 764 | Ck(k,i) = 1./(etap * ak(k,i)) |
|---|
| 765 | else |
|---|
| 766 | Ck(k,i) = -1./(etan * ak(k,i)) |
|---|
| 767 | endif |
|---|
| 768 | enddo |
|---|
| 769 | enddo |
|---|
| 770 | |
|---|
| 771 | C |
|---|
| 772 | a = 0. |
|---|
| 773 | b = invcoeffraf |
|---|
| 774 | Do i=1,coeffraf |
|---|
| 775 | diff2(i) = 0.5*(b*b - a*a) |
|---|
| 776 | diff3(i) = (1./3.)*(b*b*b - a*a*a) |
|---|
| 777 | a = a + invcoeffraf |
|---|
| 778 | b = b + invcoeffraf |
|---|
| 779 | End do |
|---|
| 780 | C |
|---|
| 781 | if( locind_parent_last+2 <= np ) then |
|---|
| 782 | nmax = locind_parent_last+2 |
|---|
| 783 | elseif( locind_parent_last+1 <= np ) then |
|---|
| 784 | nmax = locind_parent_last+1 |
|---|
| 785 | else |
|---|
| 786 | nmax = locind_parent_last |
|---|
| 787 | endif |
|---|
| 788 | C |
|---|
| 789 | if(locind_parent_left-2 >= 1) then |
|---|
| 790 | nmin = locind_parent_left-2 |
|---|
| 791 | elseif(locind_parent_left-1 >= 1) then |
|---|
| 792 | nmin = locind_parent_left-1 |
|---|
| 793 | else |
|---|
| 794 | nmin = locind_parent_left |
|---|
| 795 | endif |
|---|
| 796 | C |
|---|
| 797 | Do i = nmin+1,nmax |
|---|
| 798 | slope(i) = (x(i) - x(i-1)) |
|---|
| 799 | Enddo |
|---|
| 800 | DO i=nmin+2,nmax |
|---|
| 801 | smooth(i) = 0.5*(slope(i)**2+slope(i-1)**2) |
|---|
| 802 | & +(slope(i)-slope(i-1))**2 |
|---|
| 803 | enddo |
|---|
| 804 | C |
|---|
| 805 | diffmod = 0 |
|---|
| 806 | IF (mod(coeffraf,2) == 0) diffmod = 1 |
|---|
| 807 | C |
|---|
| 808 | ipos = i1 |
|---|
| 809 | C |
|---|
| 810 | Do iparent = locind_parent_left,locind_parent_last |
|---|
| 811 | pos=1 |
|---|
| 812 | |
|---|
| 813 | delta0=1./(epsilon+smooth(iparent ))**3 |
|---|
| 814 | delta1=1./(epsilon+smooth(iparent+1))**3 |
|---|
| 815 | delta2=1./(epsilon+smooth(iparent+2))**3 |
|---|
| 816 | |
|---|
| 817 | Do jj = ipos - coeffraf/2+diffmod,ipos + coeffraf/2 |
|---|
| 818 | C |
|---|
| 819 | pos = pos+1 |
|---|
| 820 | End do |
|---|
| 821 | ipos = ipos + coeffraf |
|---|
| 822 | C |
|---|
| 823 | End do |
|---|
| 824 | C |
|---|
| 825 | C |
|---|
| 826 | y(1:nc)=ytemp(1:nc) |
|---|
| 827 | deallocate(ytemp) |
|---|
| 828 | deallocate(diff, diff2, diff3) |
|---|
| 829 | |
|---|
| 830 | deallocate(ak,ck) |
|---|
| 831 | |
|---|
| 832 | Return |
|---|
| 833 | End Subroutine weno1dnew |
|---|
| 834 | |
|---|
| 835 | C ************************************************************************** |
|---|
| 836 | CCC Subroutine weno1d |
|---|
| 837 | C ************************************************************************** |
|---|
| 838 | C |
|---|
| 839 | Subroutine weno1d(x,y,np,nc, |
|---|
| 840 | & s_parent,s_child,ds_parent,ds_child) |
|---|
| 841 | C |
|---|
| 842 | CCC Description: |
|---|
| 843 | CCC Subroutine to do a 1D interpolation and apply monotonicity constraints |
|---|
| 844 | CCC using piecewise parabolic method |
|---|
| 845 | CCC on a child grid (vector y) from its parent grid (vector x). |
|---|
| 846 | CC Method: |
|---|
| 847 | C |
|---|
| 848 | C Declarations: |
|---|
| 849 | C |
|---|
| 850 | Implicit none |
|---|
| 851 | C |
|---|
| 852 | C Arguments |
|---|
| 853 | Integer :: np,nc |
|---|
| 854 | Real, Dimension(np) :: x |
|---|
| 855 | Real, Dimension(nc) :: y |
|---|
| 856 | Real, Dimension(:),Allocatable :: ytemp |
|---|
| 857 | Real :: s_parent,s_child,ds_parent,ds_child |
|---|
| 858 | C |
|---|
| 859 | C Local scalars |
|---|
| 860 | Integer :: i,coeffraf,locind_parent_left,locind_parent_last |
|---|
| 861 | Integer :: iparent,ipos,pos,nmin,nmax |
|---|
| 862 | Real :: ypos |
|---|
| 863 | integer :: i1,jj |
|---|
| 864 | Real :: xpmin,cavg,a,b |
|---|
| 865 | C |
|---|
| 866 | Real :: xrmin,xrmax,am3,s2,s1 |
|---|
| 867 | Real, Dimension(np) :: xr,xl,delta,a6,slope,slope2 |
|---|
| 868 | Real, Dimension(:),Allocatable :: diff,diff2,diff3 |
|---|
| 869 | INTEGER :: diffmod |
|---|
| 870 | REAL :: invcoeffraf |
|---|
| 871 | integer :: s,l,k |
|---|
| 872 | integer :: etan, etap |
|---|
| 873 | real :: delta0, delta1,sumdelta |
|---|
| 874 | real :: epsilon |
|---|
| 875 | parameter (epsilon = 1.D-8) |
|---|
| 876 | C |
|---|
| 877 | coeffraf = nint(ds_parent/ds_child) |
|---|
| 878 | C |
|---|
| 879 | If (coeffraf == 1) Then |
|---|
| 880 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
|---|
| 881 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
|---|
| 882 | return |
|---|
| 883 | End If |
|---|
| 884 | invcoeffraf = ds_child/ds_parent |
|---|
| 885 | |
|---|
| 886 | C |
|---|
| 887 | Allocate(ytemp(-2*coeffraf:nc+2*coeffraf)) |
|---|
| 888 | ypos = s_child |
|---|
| 889 | C |
|---|
| 890 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
|---|
| 891 | locind_parent_last = 1 + |
|---|
| 892 | & agrif_ceiling((ypos +(nc - 1) |
|---|
| 893 | & *ds_child - s_parent)/ds_parent) |
|---|
| 894 | C |
|---|
| 895 | xpmin = s_parent + (locind_parent_left-1)*ds_parent |
|---|
| 896 | i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
|---|
| 897 | C |
|---|
| 898 | Allocate( diff(coeffraf)) |
|---|
| 899 | C |
|---|
| 900 | diff(1)=0.5*invcoeffraf |
|---|
| 901 | do i=2,coeffraf |
|---|
| 902 | diff(i) = diff(i-1)+invcoeffraf |
|---|
| 903 | enddo |
|---|
| 904 | C |
|---|
| 905 | if( locind_parent_last+2 <= np ) then |
|---|
| 906 | nmax = locind_parent_last+2 |
|---|
| 907 | else if( locind_parent_last+1 <= np ) then |
|---|
| 908 | nmax = locind_parent_last+1 |
|---|
| 909 | else |
|---|
| 910 | nmax = locind_parent_last |
|---|
| 911 | endif |
|---|
| 912 | C |
|---|
| 913 | if(locind_parent_left-1 >= 1) then |
|---|
| 914 | nmin = locind_parent_left-1 |
|---|
| 915 | else |
|---|
| 916 | nmin = locind_parent_left |
|---|
| 917 | endif |
|---|
| 918 | C |
|---|
| 919 | Do i = nmin+1,nmax |
|---|
| 920 | slope(i) = (x(i) - x(i-1)) |
|---|
| 921 | Enddo |
|---|
| 922 | C |
|---|
| 923 | diffmod = 0 |
|---|
| 924 | IF (mod(coeffraf,2) == 0) diffmod = 1 |
|---|
| 925 | C |
|---|
| 926 | ipos = i1 |
|---|
| 927 | C |
|---|
| 928 | Do iparent = locind_parent_left,locind_parent_last |
|---|
| 929 | pos=1 |
|---|
| 930 | delta0=1./(epsilon+slope(iparent )**2)**2 |
|---|
| 931 | delta1=1./(epsilon+slope(iparent+1)**2)**2 |
|---|
| 932 | sumdelta = 1./(delta0+delta1) |
|---|
| 933 | Do jj = ipos - coeffraf/2+diffmod,ipos + coeffraf/2 |
|---|
| 934 | C |
|---|
| 935 | ytemp(jj) = x(iparent)+(diff(pos)-0.5)*( |
|---|
| 936 | & delta0*slope(iparent)+ |
|---|
| 937 | & delta1*slope(iparent+1))*sumdelta |
|---|
| 938 | pos = pos+1 |
|---|
| 939 | End do |
|---|
| 940 | ipos = ipos + coeffraf |
|---|
| 941 | C |
|---|
| 942 | End do |
|---|
| 943 | C |
|---|
| 944 | C |
|---|
| 945 | y(1:nc)=ytemp(1:nc) |
|---|
| 946 | deallocate(ytemp) |
|---|
| 947 | deallocate(diff) |
|---|
| 948 | |
|---|
| 949 | Return |
|---|
| 950 | End Subroutine weno1d |
|---|
| 951 | |
|---|
| 952 | C |
|---|
| 953 | C ************************************************************************** |
|---|
| 954 | CCC Subroutine eno1d |
|---|
| 955 | C ************************************************************************** |
|---|
| 956 | C |
|---|
| 957 | Subroutine eno1d(x,y,np,nc, |
|---|
| 958 | & s_parent,s_child,ds_parent,ds_child) |
|---|
| 959 | C |
|---|
| 960 | CCC Description: |
|---|
| 961 | CCC ---- p 163-164 Computational gasdynamics ---- |
|---|
| 962 | CCC Subroutine to do a 1D interpolation |
|---|
| 963 | CCC using piecewise polynomial ENO reconstruction technique |
|---|
| 964 | CCC on a child grid (vector y) from its parent grid (vector x). |
|---|
| 965 | CC Method: |
|---|
| 966 | C |
|---|
| 967 | C Declarations: |
|---|
| 968 | C |
|---|
| 969 | Implicit none |
|---|
| 970 | C |
|---|
| 971 | C Arguments |
|---|
| 972 | Integer :: np,nc |
|---|
| 973 | Real, Dimension(np) :: x |
|---|
| 974 | Real, Dimension(nc) :: y |
|---|
| 975 | Real, Dimension(:),Allocatable :: ytemp |
|---|
| 976 | Real :: s_parent,s_child,ds_parent,ds_child |
|---|
| 977 | C |
|---|
| 978 | C Local scalars |
|---|
| 979 | Integer :: i,coeffraf,locind_parent_left,locind_parent_last |
|---|
| 980 | Integer :: ipos,pos |
|---|
| 981 | Real :: ypos,xi |
|---|
| 982 | integer :: i1,jj |
|---|
| 983 | Real :: xpmin,cavg |
|---|
| 984 | C |
|---|
| 985 | Real, Dimension(3,np) :: dd,c |
|---|
| 986 | Integer :: left |
|---|
| 987 | C |
|---|
| 988 | Real, DImension(1:np+1) :: xhalf |
|---|
| 989 | Real, Dimension(:,:),Allocatable :: Xbar |
|---|
| 990 | INTEGER :: diffmod |
|---|
| 991 | C |
|---|
| 992 | coeffraf = nint(ds_parent/ds_child) |
|---|
| 993 | C |
|---|
| 994 | If (coeffraf == 1) Then |
|---|
| 995 | locind_parent_left = 1 + nint((s_child - s_parent)/ds_parent) |
|---|
| 996 | y(1:nc) = x(locind_parent_left:locind_parent_left+nc-1) |
|---|
| 997 | return |
|---|
| 998 | End If |
|---|
| 999 | |
|---|
| 1000 | diffmod = 0 |
|---|
| 1001 | IF (mod(coeffraf,2) == 0) diffmod = 1 |
|---|
| 1002 | C |
|---|
| 1003 | Allocate(ytemp(-2*coeffraf:nc+2*coeffraf)) |
|---|
| 1004 | ypos = s_child |
|---|
| 1005 | locind_parent_left = 1 + agrif_int((ypos - s_parent)/ds_parent) |
|---|
| 1006 | locind_parent_last = 1 + |
|---|
| 1007 | & agrif_ceiling((ypos +(nc - 1) *ds_child - |
|---|
| 1008 | & s_parent)/ds_parent) |
|---|
| 1009 | xpmin = s_parent + (locind_parent_left-1)*ds_parent |
|---|
| 1010 | i1 = 1+agrif_int((xpmin-s_child)/ds_child) |
|---|
| 1011 | C |
|---|
| 1012 | xhalf(np+1) = np + 0.5 |
|---|
| 1013 | Do i = 1,np |
|---|
| 1014 | xhalf(i) = i - 0.5 |
|---|
| 1015 | Enddo |
|---|
| 1016 | C |
|---|
| 1017 | C compute divided differences |
|---|
| 1018 | C |
|---|
| 1019 | dd(1,1:np) = x(1:np) |
|---|
| 1020 | dd(2,1:np-1) = 0.5*( dd(1,2:np) - dd(1,1:np-1) ) |
|---|
| 1021 | dd(3,1:np-2) = (1./3.)*( dd(2,2:np-1) - dd(2,1:np-2) ) |
|---|
| 1022 | C |
|---|
| 1023 | Allocate( Xbar( coeffraf,2 ) ) |
|---|
| 1024 | xi = 0.5 |
|---|
| 1025 | Do i = 1,coeffraf |
|---|
| 1026 | Xbar(i,1) = (i-1)*ds_child/ds_parent - xi |
|---|
| 1027 | Xbar(i,2) = i*ds_child/ds_parent - xi |
|---|
| 1028 | Enddo |
|---|
| 1029 | C |
|---|
| 1030 | ipos = i1 |
|---|
| 1031 | C |
|---|
| 1032 | DO i = locind_parent_left,locind_parent_last |
|---|
| 1033 | left = i |
|---|
| 1034 | do jj = 2,3 |
|---|
| 1035 | If(abs(dd(jj,left)) .gt. abs(dd(jj,left-1))) |
|---|
| 1036 | & left = left-1 |
|---|
| 1037 | enddo |
|---|
| 1038 | C |
|---|
| 1039 | C convert to Taylor series form |
|---|
| 1040 | C |
|---|
| 1041 | Call Taylor(i,xhalf(left:left+2),dd(1:3,left),c(1:3,i)) |
|---|
| 1042 | ENDDO |
|---|
| 1043 | C |
|---|
| 1044 | C evaluate the reconstruction on each cell |
|---|
| 1045 | C |
|---|
| 1046 | DO i = locind_parent_left,locind_parent_last |
|---|
| 1047 | C |
|---|
| 1048 | cavg = 0. |
|---|
| 1049 | pos = 1. |
|---|
| 1050 | C |
|---|
| 1051 | Do jj = ipos - coeffraf/2+diffmod,ipos + coeffraf/2 |
|---|
| 1052 | ytemp(jj) =(c(1,i)*(Xbar(pos,2)-Xbar(pos,1)) |
|---|
| 1053 | & +c(2,i)*(Xbar(pos,2)*Xbar(pos,2)- |
|---|
| 1054 | & Xbar(pos,1)*Xbar(pos,1)) |
|---|
| 1055 | & +c(3,i)*(Xbar(pos,2)*Xbar(pos,2)*Xbar(pos,2)- |
|---|
| 1056 | & Xbar(pos,1)*Xbar(pos,1)*Xbar(pos,1))) |
|---|
| 1057 | & *coeffraf |
|---|
| 1058 | cavg = cavg + ytemp(jj) |
|---|
| 1059 | pos = pos+1 |
|---|
| 1060 | Enddo |
|---|
| 1061 | ipos = ipos + coeffraf |
|---|
| 1062 | ENDDO |
|---|
| 1063 | C |
|---|
| 1064 | y(1:nc)=ytemp(1:nc) |
|---|
| 1065 | deallocate(ytemp,Xbar) |
|---|
| 1066 | C |
|---|
| 1067 | Return |
|---|
| 1068 | End Subroutine eno1d |
|---|
| 1069 | C |
|---|
| 1070 | C |
|---|
| 1071 | C ************************************************************************** |
|---|
| 1072 | CCC Subroutine taylor |
|---|
| 1073 | C ************************************************************************** |
|---|
| 1074 | C |
|---|
| 1075 | subroutine taylor(ind,xhalf,dd,c) |
|---|
| 1076 | C |
|---|
| 1077 | Integer :: ind |
|---|
| 1078 | real,dimension(3) :: dd,c |
|---|
| 1079 | real,dimension(0:3,0:3) :: d |
|---|
| 1080 | real,dimension(3) :: xhalf |
|---|
| 1081 | integer ::i,j |
|---|
| 1082 | C |
|---|
| 1083 | C |
|---|
| 1084 | d(0,0:3)=1. |
|---|
| 1085 | do i = 1,3 |
|---|
| 1086 | d(i,0)=(ind-xhalf(i))*d(i-1,0) |
|---|
| 1087 | enddo |
|---|
| 1088 | C |
|---|
| 1089 | do i = 1,3 |
|---|
| 1090 | do j = 1,3-i |
|---|
| 1091 | d(i,j) = d(i,j-1) + (ind-xhalf(i+j))*d(i-1,j) |
|---|
| 1092 | enddo |
|---|
| 1093 | enddo |
|---|
| 1094 | C |
|---|
| 1095 | do j = 1,3 |
|---|
| 1096 | c(j) = 0. |
|---|
| 1097 | do i=0,3-j |
|---|
| 1098 | c(j) = c(j) + d(i,j)*dd(i+j) |
|---|
| 1099 | enddo |
|---|
| 1100 | enddo |
|---|
| 1101 | C |
|---|
| 1102 | end subroutine taylor |
|---|
| 1103 | |
|---|
| 1104 | |
|---|
| 1105 | REAL FUNCTION vanleer(tab) |
|---|
| 1106 | REAL, DIMENSION(3) :: tab |
|---|
| 1107 | real res1 |
|---|
| 1108 | real p1,p2,p3 |
|---|
| 1109 | |
|---|
| 1110 | p1=(tab(3)-tab(1))/2. |
|---|
| 1111 | p2=2.*(tab(2)-tab(1)) |
|---|
| 1112 | p3=2.*(tab(3)-tab(2)) |
|---|
| 1113 | |
|---|
| 1114 | if ((p1>0.).AND.(p2>0.).AND.(p3>0)) then |
|---|
| 1115 | res1=minval((/p1,p2,p3/)) |
|---|
| 1116 | elseif ((p1<0.).AND.(p2<0.).AND.(p3<0)) then |
|---|
| 1117 | res1=maxval((/p1,p2,p3/)) |
|---|
| 1118 | else |
|---|
| 1119 | res1=0. |
|---|
| 1120 | endif |
|---|
| 1121 | |
|---|
| 1122 | vanleer = res1 |
|---|
| 1123 | |
|---|
| 1124 | |
|---|
| 1125 | END FUNCTION vanleer |
|---|
| 1126 | |
|---|
| 1127 | C |
|---|
| 1128 | End Module Agrif_Interpbasic |
|---|
