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Diffstat (limited to 'Carpet/CarpetLib/src/prolongate_3d_real8_2tl_eno.F90')
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1 files changed, 302 insertions, 0 deletions
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_eno.F90 b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_eno.F90 new file mode 100644 index 000000000..03a151cdd --- /dev/null +++ b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_eno.F90 @@ -0,0 +1,302 @@ +!!$ -*-Fortran-*- +!!$ $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_eno.F90,v 1.1 2004/03/03 15:30:40 hawke Exp $ + +#include "cctk.h" + + +!!$ This routine performs "ENO" prolongation. It is intended to be used +!!$ with GFs that are not expected to be smooth, particularly those +!!$ that must also obey certain constraints. The obvious example is the +!!$ density in hydrodynamics, which may be discontinuous yet must be +!!$ strictly positive. +!!$ +!!$ To ensure that this prolongation method is used you should add the +!!$ tag +!!$ +!!$ tags='Prolongation="ENO"' +!!$ +!!$ to the interface.ccl on the appropriate group. +!!$ +!!$ This applies ENO2 type limiting to the slope, checking over the +!!$ entire coarse grid cell for the least oscillatory quadratic in each +!!$ direction. If the slope changes sign over the extrema, linear +!!$ interpolation is used instead. +!!$ +!!$ The actual eno1d function is defined in the routine +!!$ +!!$ prolongate_3d_real8_eno.F77 + + +#define CHKIDX(i,j,k, imax,jmax,kmax, where) \ +if ((i).lt.1 .or. (i).gt.(imax) \ + .or. (j).lt.1 .or. (j).gt.(jmax) \ + .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\ + write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \ + (where), (imax), (jmax), (kmax), (i), (j), (k) &&\ + call CCTK_WARN (0, msg(1:len_trim(msg))) &&\ +end if + +subroutine prolongate_3d_real8_2tl_eno (src1, t1, src2, t2, & + srciext, srcjext, srckext, dst, t, dstiext, dstjext, dstkext, & + srcbbox, dstbbox, regbbox) + + implicit none + + CCTK_REAL8 one + parameter (one = 1) + + CCTK_REAL8 eps + parameter (eps = 1.0d-10) + + integer srciext, srcjext, srckext + CCTK_REAL8 src1(srciext,srcjext,srckext) + CCTK_REAL8 t1 + CCTK_REAL8 src2(srciext,srcjext,srckext) + CCTK_REAL8 t2 + integer dstiext, dstjext, dstkext + CCTK_REAL8 dst(dstiext,dstjext,dstkext) + CCTK_REAL8 t + +!!$ bbox(:,1) is lower boundary (inclusive) +!!$ bbox(:,2) is upper boundary (inclusive) +!!$ bbox(:,3) is stride + integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3) + + integer offsetlo, offsethi + + integer regiext, regjext, regkext + + integer dstifac, dstjfac, dstkfac + + integer srcioff, srcjoff, srckoff + integer dstioff, dstjoff, dstkoff + + CCTK_REAL8 s1fac, s2fac + + integer i, j, k + integer i0, j0, k0 + integer fi, fj, fk + integer ifac(4), jfac(4), kfac(4) + integer ii, jj, kk + integer fac + CCTK_REAL8 res + integer d + + character msg*1000 + + CCTK_REAL8, dimension(0:3,0:3) :: tmp1 + CCTK_REAL8, dimension(0:3) :: tmp2 + CCTK_REAL8 :: dsttmp1, dsttmp2 + + external eno1d + CCTK_REAL8 eno1d + + CCTK_REAL8 half, zero + parameter (half = 0.5) + parameter (zero = 0) + + do d=1,3 + if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0 & + .or. regbbox(d,3).eq.0) then + call CCTK_WARN (0, "Internal error: stride is zero") + end if + if (srcbbox(d,3).le.regbbox(d,3) & + .or. dstbbox(d,3).ne.regbbox(d,3)) then + call CCTK_WARN (0, "Internal error: strides disagree") + end if + if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then + call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides") + end if + if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0 & + .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0 & + .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then + call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides") + end if + if (regbbox(d,1).gt.regbbox(d,2)) then +!!$ This could be handled, but is likely to point to an error elsewhere + call CCTK_WARN (0, "Internal error: region extent is empty") + end if + regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1 + dstkfac = srcbbox(d,3) / dstbbox(d,3) + srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3) + offsetlo = regbbox(d,3) + if (mod(srckoff + 0, dstkfac).eq.0) then + offsetlo = 0 + if (regkext.gt.1) then + offsetlo = regbbox(d,3) + end if + end if + offsethi = regbbox(d,3) + if (mod(srckoff + regkext-1, dstkfac).eq.0) then + offsethi = 0 + if (regkext.gt.1) then + offsethi = regbbox(d,3) + end if + end if + if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1) & + .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2) & + .or. regbbox(d,1).lt.dstbbox(d,1) & + .or. regbbox(d,2).gt.dstbbox(d,2)) then + call CCTK_WARN (0, "Internal error: region extent is not contained in array extent") + end if + end do + + if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1 & + .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1 & + .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1 & + .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1 & + .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1 & + .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then + call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes") + end if + + regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1 + regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1 + regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1 + + dstifac = srcbbox(1,3) / dstbbox(1,3) + dstjfac = srcbbox(2,3) / dstbbox(2,3) + dstkfac = srcbbox(3,3) / dstbbox(3,3) + + srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3) + srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3) + srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3) + + dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3) + dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3) + dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3) + +!!$ Linear (first order) interpolation + if (t1.eq.t2) then + call CCTK_WARN (0, "Internal error: arrays have same time") + end if + if (t.lt.min(t1,t2)-eps .or. t.gt.max(t1,t2)+eps) then + call CCTK_WARN (0, "Internal error: extrapolation in time") + end if + + s1fac = (t - t2) / (t1 - t2) + s2fac = (t - t1) / (t2 - t1) + +!!$ Loop over fine region + + do k = 0, regkext-1 + k0 = (srckoff + k) / dstkfac + fk = mod(srckoff + k, dstkfac) + + do j = 0, regjext-1 + j0 = (srcjoff + j) / dstjfac + fj = mod(srcjoff + j, dstjfac) + + do i = 0, regiext-1 + i0 = (srcioff + i) / dstifac + fi = mod(srcioff + i, dstifac) + +!!$ Where is the fine grid point w.r.t the coarse grid? + + select case (fi + 10*fj + 100*fk) + case (0) +!!$ On a coarse grid point exactly! + + dsttmp1 = src1(i0+1,j0+1,k0+1) + dsttmp2 = src2(i0+1,j0+1,k0+1) + + case (1) +!!$ Interpolate only in x + + dsttmp1 = eno1d(src1(i0:i0+3,j0+1,k0+1)) + dsttmp2 = eno1d(src2(i0:i0+3,j0+1,k0+1)) + + case (10) +!!$ Interpolate only in y + + dsttmp1 = eno1d(src1(i0+1,j0:j0+3,k0+1)) + dsttmp2 = eno1d(src2(i0+1,j0:j0+3,k0+1)) + + case (11) +!!$ Interpolate only in x and y + + do jj = 0, 3 + tmp2(jj) = eno1d(src1(i0:i0+3,j0+jj,k0+1)) + end do + + dsttmp1 = eno1d(tmp2(0:3)) + + do jj = 0, 3 + tmp2(jj) = eno1d(src2(i0:i0+3,j0+jj,k0+1)) + end do + + dsttmp2 = eno1d(tmp2(0:3)) + + case (100) +!!$ Interpolate only in z + + dsttmp1 = eno1d(src1(i0+1,j0+1,k0:k0+3)) + dsttmp2 = eno1d(src2(i0+1,j0+1,k0:k0+3)) + + case (101) +!!$ Interpolate only in x and z + + do kk = 0, 3 + tmp2(kk) = eno1d(src1(i0:i0+3,j0+1,k0+kk)) + end do + + dsttmp1 = eno1d(tmp2(0:3)) + + do kk = 0, 3 + tmp2(kk) = eno1d(src2(i0:i0+3,j0+1,k0+kk)) + end do + + dsttmp2 = eno1d(tmp2(0:3)) + + case (110) +!!$ Interpolate only in y and z + + do kk = 0, 3 + tmp2(kk) = eno1d(src1(i0+1,j0:j0+3,k0+kk)) + end do + + dsttmp1 = eno1d(tmp2(0:3)) + + do kk = 0, 3 + tmp2(kk) = eno1d(src2(i0+1,j0:j0+3,k0+kk)) + end do + + dsttmp2 = eno1d(tmp2(0:3)) + + case (111) +!!$ Interpolate in all of x, y, and z + + do jj = 0, 3 + do kk = 0, 3 + tmp1(jj,kk) = eno1d(src1(i0:i0+3,j0+jj,k0+kk)) + end do + end do + do ii = 0, 3 + tmp2(ii) = eno1d(tmp1(0:3,ii)) + end do + + dsttmp1 = eno1d(tmp2(0:3)) + + do jj = 0, 3 + do kk = 0, 3 + tmp1(jj,kk) = eno1d(src2(i0:i0+3,j0+jj,k0+kk)) + end do + end do + do ii = 0, 3 + tmp2(ii) = eno1d(tmp1(0:3,ii)) + end do + + dsttmp2 = eno1d(tmp2(0:3)) + + case default + call CCTK_WARN(0, "Internal error in ENO prolongation. Should only be used with refinement factor 2!") + end select + + dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = & + s1fac * dsttmp1 + s2fac * dsttmp2 + + end do + end do + end do + +end subroutine prolongate_3d_real8_2tl_eno |