1 |
edhill |
1.2 |
C $Header: /u/gcmpack/MITgcm/pkg/flt/flt_bilinear.F,v 1.1 2001/09/13 17:43:55 adcroft Exp $ |
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C $Name: $ |
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adcroft |
1.1 |
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#include "FLT_CPPOPTIONS.h" |
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subroutine flt_bilinear( |
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I xp, |
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I yp, |
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O uu, |
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I kp, |
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I u, |
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I nu, |
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I bi, |
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I bj |
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& ) |
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c ================================================================== |
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c SUBROUTINE flt_bilinear |
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c ================================================================== |
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c |
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c o Bilinear scheme to find u of particle at given xp,yp location |
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c |
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c ================================================================== |
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c SUBROUTINE flt_bilinear |
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c ================================================================== |
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c == global variables == |
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#include "SIZE.h" |
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c == routine arguments == |
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_RL xp, yp |
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_RL uu |
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integer nu, kp, bi, bj |
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_RL u (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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c == local variables == |
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INTEGER nnx, nny, nfx, nfy, nfxp, nfyp |
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_RL dx, dy, ddx, ddy |
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integer ip |
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_RL xx, yy, phi, scalex, scaley |
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_RL u11, u12, u22, u21 |
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c == end of interface == |
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nnx = int(xp) |
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nny = int(yp) |
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dx = xp - float(nnx) |
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dy = yp - float(nny) |
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c |
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edhill |
1.2 |
c to choose the u box in which the particle is found |
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adcroft |
1.1 |
c nu=1 for T, S |
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c nu=2 for u |
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c nu=3 for v |
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c nu=4 for w |
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c |
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if (nu.eq.1.or.nu.eq.4) then |
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nfx = nnx |
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nfy = nny |
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ddx = dx |
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ddy = dy |
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endif |
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c |
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if (nu.eq.2) then |
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if (dx.le.0.5) then |
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nfx = nnx |
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ddx = dx + 0.5 |
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else |
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nfx = nnx + 1 |
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ddx = dx - 0.5 |
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endif |
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nfy = nny |
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ddy = dy |
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endif |
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c |
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if (nu.eq.3) then |
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if (dy.le.0.5) then |
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nfy = nny |
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ddy = dy + 0.5 |
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else |
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nfy = nny + 1 |
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ddy = dy - 0.5 |
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endif |
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nfx = nnx |
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ddx = dx |
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endif |
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c |
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c |
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cab change start |
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c was correct only for global? |
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c if(nfx.gt.nx) nfx=nfx-nx |
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if(nfx.gt.nx) nfx=nx |
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cab change end |
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if(nfy.gt.ny) nfy=ny |
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nfxp = nfx + 1 |
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nfyp = nfy + 1 |
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cab change start |
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c if (nfx.eq.nx) nfxp = 1 |
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if (nfx.eq.nx) nfxp = nfx |
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cab change end |
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if (nfy.eq.ny) nfyp = nfy |
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if (nu.lt.4) then |
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u11 = u(nfx,nfy,kp,bi,bj) |
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u21 = u(nfxp,nfy,kp,bi,bj) |
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u22 = u(nfxp,nfyp,kp,bi,bj) |
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u12 = u(nfx,nfyp,kp,bi,bj) |
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endif |
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if (nu.eq.4) then |
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edhill |
1.2 |
caw This may be incorrect. |
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adcroft |
1.1 |
u11 = u(nfx,nfy,kp,bi,bj)+u(nfx,nfy,kp-1,bi,bj) |
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u21 = u(nfxp,nfy,kp,bi,bj)+u(nfxp,nfy,kp-1,bi,bj) |
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u22 = u(nfxp,nfyp,kp,bi,bj)+u(nfxp,nfyp,kp-1,bi,bj) |
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u12 = u(nfx,nfyp,kp,bi,bj)+u(nfx,nfyp,kp-1,bi,bj) |
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endif |
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edhill |
1.2 |
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adcroft |
1.1 |
c |
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c |
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c bilinear interpolation (from numerical recipes) |
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uu = (1-ddx)*(1-ddy)*u11 + ddx*(1-ddy)*u21 + ddx*ddy*u22 |
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. + (1-ddx)*ddy*u12 |
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c |
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c |
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return |
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end |
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edhill |
1.2 |
subroutine flt_trilinear( |
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I xp, |
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I yp, |
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I zp, |
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O uu, |
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I u, |
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I nu, |
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I bi, |
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I bj |
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& ) |
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c ================================================================== |
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c SUBROUTINE flt_trilinear |
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c ================================================================== |
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c |
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c o Trilinear scheme to find u of particle at a given xp,yp,zp |
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c location. This routine is a straight forward generalization of the |
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c bilinear interpolation scheme. |
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c |
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c started: 2004.05.28 Antti Westerlund (antti.westerlund@fimr.fi) |
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c and Sergio Jaramillo (sju@eos.ubc.ca). |
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c (adopted from subroutine bilinear by Arne Biastoch) |
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c |
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c ================================================================== |
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c SUBROUTINE flt_trilinear |
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c ================================================================== |
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c == global variables == |
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#include "SIZE.h" |
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c == routine arguments == |
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_RL xp, yp, zp |
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_RL uu |
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integer nu, bi, bj |
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_RL u (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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c == local variables == |
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INTEGER nnx, nny, nnz, nfx, nfy, nfz, nfxp, nfyp, nfzp |
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_RL dx, dy, dz, ddx, ddy, ddz |
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integer ip |
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_RL xx, yy, zz, phi, scalex, scaley, scalez |
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_RL u111, u121, u221, u211, u112, u122, u222, u212 |
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c == end of interface == |
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c Round xp,yp,zp down to find a grid point. |
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nnx = int(xp) |
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nny = int(yp) |
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nnz = int(zp) |
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c Find out the distance from the gridpoint. |
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dx = xp - float(nnx) |
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dy = yp - float(nny) |
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dz = zp - float(nnz) |
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c |
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c to choose the u box in which the particle is found |
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c nu=1 for T, S |
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c nu=2 for u |
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c nu=3 for v |
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c nu=4 for w |
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c |
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c Velocities are face quantities and must therefore be treated differently |
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c |
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c if the variable is T,S |
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if (nu.eq.1) then |
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nfx = nnx |
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ddx = dx |
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nfy = nny |
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ddy = dy |
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nfz = nnz |
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ddz = dz |
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endif |
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c if the variable is u |
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if (nu.eq.2) then |
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if (dx.le.0.5) then |
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nfx = nnx |
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ddx = dx + 0.5 |
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else |
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nfx = nnx + 1 |
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ddx = dx - 0.5 |
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endif |
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nfy = nny |
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ddy = dy |
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nfz = nnz |
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ddz = dz |
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endif |
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c if the variable is v |
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if (nu.eq.3) then |
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nfx = nnx |
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ddx = dx |
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if (dy.le.0.5) then |
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nfy = nny |
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ddy = dy + 0.5 |
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else |
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nfy = nny + 1 |
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ddy = dy - 0.5 |
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endif |
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nfz = nnz |
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ddz = dz |
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endif |
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c if the variable is w |
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if (nu.eq.4) then |
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nfx = nnx |
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ddx = dx |
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nfy = nny |
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ddy = dy |
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if (dz.le.0.5) then |
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nfz = nnz |
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ddz = dz + 0.5 |
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else |
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nfz = nnz + 1 |
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ddz = dz - 0.5 |
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endif |
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endif |
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c |
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c if we are near or over the edge, limit nfx/y/z |
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if(nfx.gt.nx) nfx=nx |
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if(nfy.gt.ny) nfy=ny |
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if(nfz.gt.nr) nfz=nr |
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if(nfz.le.1) nfz=1 |
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c We should possibly check something else too... |
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c |
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c the coordinates for the other grid points |
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nfxp = nfx + 1 |
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nfyp = nfy + 1 |
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nfzp = nfz + 1 |
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c if we are near the edge, also limit nf?p |
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if (nfx.eq.nx) nfxp = nfx |
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if (nfy.eq.ny) nfyp = nfy |
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if (nfz.eq.nr) nfzp = nfz |
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c Values of the field at relevant grid points |
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u111 = u(nfx,nfy,nfz,bi,bj) |
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u211 = u(nfxp,nfy,nfz,bi,bj) |
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u221 = u(nfxp,nfyp,nfz,bi,bj) |
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u121 = u(nfx,nfyp,nfz,bi,bj) |
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u112 = u(nfx,nfy,nfzp,bi,bj) |
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u212 = u(nfxp,nfy,nfzp,bi,bj) |
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u222 = u(nfxp,nfyp,nfzp,bi,bj) |
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u122 = u(nfx,nfyp,nfzp,bi,bj) |
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c Trilinear interpolation, a straight forward generalization |
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c of the bilinear interpolation scheme. |
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uu = (1-ddx)*(1-ddy)*(1-ddz)*u111 + ddx*(1-ddy)*(1-ddz)*u211 |
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& + ddx*ddy*(1-ddz)*u221 + (1-ddx)*ddy*(1-ddz)*u121 |
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& + (1-ddx)*(1-ddy)*ddz*u112 + ddx*(1-ddy)*ddz*u212 |
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& + ddx*ddy*ddz*u222 + (1-ddx)*ddy*ddz*u122 |
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c |
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c |
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return |
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end |
283 |
adcroft |
1.1 |
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284 |
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subroutine flt_bilinear2d( |
285 |
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I xp, |
286 |
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I yp, |
287 |
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O uu, |
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I u, |
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I nu, |
290 |
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I bi, |
291 |
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I bj |
292 |
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& ) |
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c ================================================================== |
295 |
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c SUBROUTINE flt_bilinear2d |
296 |
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c ================================================================== |
297 |
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c |
298 |
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c o Bilinear scheme to find u of particle at given xp,yp location |
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c o For 2D fields |
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c |
301 |
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c started: Arne Biastoch abiastoch@ucsd.edu 13-Jan-2000 |
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c (adopted from subroutine bilinear) |
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c |
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c ================================================================== |
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c SUBROUTINE flt_bilinear2d |
306 |
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c ================================================================== |
307 |
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308 |
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c == global variables == |
309 |
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310 |
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#include "SIZE.h" |
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312 |
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c == routine arguments == |
313 |
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314 |
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_RL xp, yp |
315 |
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_RL uu |
316 |
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integer nu, bi, bj |
317 |
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_RL u (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
318 |
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319 |
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c == local variables == |
320 |
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321 |
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INTEGER nnx, nny, nfx, nfy, nfxp, nfyp |
322 |
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_RL dx, dy, ddx, ddy |
323 |
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integer ip |
324 |
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_RL xx, yy, phi, scalex, scaley |
325 |
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_RL u11, u12, u22, u21 |
326 |
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327 |
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c == end of interface == |
328 |
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329 |
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nnx = int(xp) |
330 |
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nny = int(yp) |
331 |
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dx = xp - float(nnx) |
332 |
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dy = yp - float(nny) |
333 |
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c |
334 |
edhill |
1.2 |
c to choose the u box in which the particle is found |
335 |
adcroft |
1.1 |
c nu=1 for T, S |
336 |
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c nu=2 for u |
337 |
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c nu=3 for v |
338 |
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c nu=4 for w |
339 |
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c |
340 |
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if (nu.eq.1.or.nu.eq.4) then |
341 |
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nfx = nnx |
342 |
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nfy = nny |
343 |
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ddx = dx |
344 |
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ddy = dy |
345 |
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endif |
346 |
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c |
347 |
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if (nu.eq.2) then |
348 |
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if (dx.le.0.5) then |
349 |
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nfx = nnx |
350 |
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ddx = dx + 0.5 |
351 |
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else |
352 |
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nfx = nnx + 1 |
353 |
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ddx = dx - 0.5 |
354 |
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endif |
355 |
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nfy = nny |
356 |
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ddy = dy |
357 |
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endif |
358 |
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c |
359 |
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if (nu.eq.3) then |
360 |
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if (dy.le.0.5) then |
361 |
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nfy = nny |
362 |
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ddy = dy + 0.5 |
363 |
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else |
364 |
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nfy = nny + 1 |
365 |
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ddy = dy - 0.5 |
366 |
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endif |
367 |
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nfx = nnx |
368 |
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ddx = dx |
369 |
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endif |
370 |
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c |
371 |
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cab change start |
372 |
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c was correct only for global? |
373 |
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c if(nfx.gt.nx) nfx=nfx-nx |
374 |
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if(nfx.gt.nx) nfx=nx |
375 |
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cab change end |
376 |
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if(nfy.gt.ny) nfy=ny |
377 |
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nfxp = nfx + 1 |
378 |
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nfyp = nfy + 1 |
379 |
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cab change start |
380 |
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c if (nfx.eq.nx) nfxp = 1 |
381 |
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if (nfx.eq.nx) nfxp = nfx |
382 |
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cab change end |
383 |
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if (nfy.eq.ny) nfyp = nfy |
384 |
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385 |
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if (nu.lt.4) then |
386 |
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u11 = u(nfx,nfy,bi,bj) |
387 |
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u21 = u(nfxp,nfy,bi,bj) |
388 |
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u22 = u(nfxp,nfyp,bi,bj) |
389 |
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u12 = u(nfx,nfyp,bi,bj) |
390 |
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endif |
391 |
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if (nu.eq.4) then |
392 |
edhill |
1.2 |
caw This may be incorrect. |
393 |
adcroft |
1.1 |
u11 = u(nfx,nfy,bi,bj)+u(nfx,nfy,bi,bj) |
394 |
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u21 = u(nfxp,nfy,bi,bj)+u(nfxp,nfy,bi,bj) |
395 |
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|
u22 = u(nfxp,nfyp,bi,bj)+u(nfxp,nfyp,bi,bj) |
396 |
|
|
u12 = u(nfx,nfyp,bi,bj)+u(nfx,nfyp,bi,bj) |
397 |
|
|
endif |
398 |
|
|
c |
399 |
|
|
c |
400 |
|
|
c bilinear interpolation (from numerical recipes) |
401 |
|
|
uu = (1-ddx)*(1-ddy)*u11 + ddx*(1-ddy)*u21 + ddx*ddy*u22 |
402 |
|
|
. + (1-ddx)*ddy*u12 |
403 |
|
|
c |
404 |
|
|
c |
405 |
|
|
return |
406 |
|
|
end |
407 |
|
|
|