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| 2 | ! gfortran -cpp -O3 -flto ex_1.f90 -o ex_1 |
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| 3 | ! ./ex_1 |
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| 4 | |
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| 5 | ! A very simple starting point: remap a quadratic profile |
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| 6 | ! between two unequal (but uniform) grids. The PPM + PQM |
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| 7 | ! methods should be exact here! |
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| 8 | ! |
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| 9 | |
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| 10 | # include "../src/ppr_1d.f90" |
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| 11 | |
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| 12 | program ex |
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| 13 | |
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| 14 | use ppr_1d |
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| 15 | |
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| 16 | implicit none |
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| 17 | |
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| 18 | integer, parameter :: npos = 31 ! no. edge (old grid) |
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| 19 | integer, parameter :: ntmp = 23 ! no. edge (new grid) |
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| 20 | integer, parameter :: nvar = 1 ! no. variables to remap |
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| 21 | integer, parameter :: ndof = 1 ! no. FV DoF per cell |
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| 22 | integer :: ipos |
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| 23 | |
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| 24 | !------------------------------ position of cell edges ! |
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| 25 | real*8 :: xpos(npos),xtmp(ntmp) |
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| 26 | real*8 :: xmid |
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| 27 | |
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| 28 | !-------------------------------- finite-volume arrays ! |
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| 29 | |
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| 30 | ! Arrays represent a "block" of finite-volume tracers |
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| 31 | ! to remap. The 1st dim. is the no. of DoF per cell, |
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| 32 | ! NDOF=1 is a standard finite-volume scheme where the |
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| 33 | ! data is specified as cell means. NDOF>1 is reserved |
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| 34 | ! for future use with DG-style schemes. NVAR is the |
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| 35 | ! number of tracers to remap. Processing tracers in a |
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| 36 | ! batch is typically more efficient than one-by-one. |
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| 37 | ! The last dim. is the no. cells (layers) in the grid. |
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| 38 | |
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| 39 | real*8 :: init(ndof,nvar,npos-1) |
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| 40 | real*8 :: ftmp(ndof,nvar,ntmp-1) |
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| 41 | real*8 :: fdat(ndof,nvar,npos-1) |
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| 42 | |
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| 43 | !------------------------------ method data-structures ! |
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| 44 | type(rmap_work) :: work |
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| 45 | type(rmap_opts) :: opts |
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| 46 | type(rcon_ends) :: bc_l(nvar) |
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| 47 | type(rcon_ends) :: bc_r(nvar) |
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| 48 | |
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| 49 | !------------------------------ define a simple domain ! |
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| 50 | |
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| 51 | call linspace(0.d0,1.d0,npos,xpos) |
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| 52 | call linspace(0.d0,1.d0,ntmp,xtmp) |
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| 53 | |
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| 54 | !------------------------------ setup some simple data ! |
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| 55 | |
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| 56 | do ipos = +1, npos-1 |
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| 57 | |
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| 58 | xmid = xpos(ipos+0) * 0.5d+0 & |
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| 59 | & + xpos(ipos+1) * 0.5d+0 |
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| 60 | |
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| 61 | init(1,1,ipos) = xmid ** 2 |
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| 62 | |
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| 63 | end do |
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| 64 | |
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| 65 | !------------------------------ specify method options ! |
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| 66 | |
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| 67 | opts%edge_meth = p3e_method ! 3rd-order edge interp. |
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| 68 | opts%cell_meth = ppm_method ! PPM method in cells |
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| 69 | opts%cell_lims = null_limit ! no slope limiter |
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| 70 | |
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| 71 | !------------------------------ set BC.'s at endpoints ! |
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| 72 | |
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| 73 | bc_l%bcopt = bcon_loose ! "loose" = extrapolate |
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| 74 | bc_r%bcopt = bcon_loose |
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| 75 | |
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| 76 | !------------------------------ init. method workspace ! |
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| 77 | |
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| 78 | call work%init(npos,nvar,opts) |
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| 79 | |
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| 80 | !------------------------------ re-map back-and-forth: ! |
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| 81 | |
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| 82 | fdat = init |
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| 83 | |
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| 84 | do ipos = +1, +1000 |
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| 85 | |
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| 86 | !------------------------------ re-map from dat-to-tmp ! |
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| 87 | |
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| 88 | call rmap1d(npos,ntmp,nvar,ndof, & |
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| 89 | & xpos,xtmp,fdat,ftmp, & |
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| 90 | & bc_l,bc_r,work,opts) |
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| 91 | |
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| 92 | !------------------------------ re-map from tmp-to-dat ! |
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| 93 | |
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| 94 | call rmap1d(ntmp,npos,nvar,ndof, & |
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| 95 | & xtmp,xpos,ftmp,fdat, & |
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| 96 | & bc_l,bc_r,work,opts) |
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| 97 | |
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| 98 | end do |
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| 99 | |
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| 100 | !------------------------------ clear method workspace ! |
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| 101 | |
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| 102 | call work%free() |
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| 103 | |
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| 104 | !------------------------------ dump results to stdout ! |
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| 105 | |
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| 106 | print*,"Cell data: [INIT] [RMAP] " |
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| 107 | |
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| 108 | do ipos = +1, npos-1 |
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| 109 | |
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| 110 | print *, init(1,1,ipos) & |
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| 111 | & , fdat(1,1,ipos) |
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| 112 | |
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| 113 | end do |
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| 114 | |
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| 115 | print*,"Conservation defect := " & |
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| 116 | & , sum(init) - sum(fdat) |
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| 117 | |
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| 118 | end program |
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| 119 | |
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| 120 | |
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| 121 | |
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