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jmc |
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C $Header: $ |
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C $Name: $ |
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# include "GAD_OPTIONS.h" |
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SUBROUTINE GAD_PQM_ADV_Y(meth,bi,bj,kk, |
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I calc_CFL,delT,vvel,vfac,fbar, |
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O flux,myThid ) |
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C |================================================================| |
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C | PQM_ADV_Y: evaluate grid-cell advective flux in Y. | |
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C | Lagrangian-type Piecewise Quartic Method (PQM). | |
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C |================================================================| |
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implicit none |
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C =============================================== global variables |
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# include "SIZE.h" |
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# include "GRID.h" |
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# include "GAD.h" |
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C ================================================================ |
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C meth :: advection method. |
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C bi,bj :: tile indexing. |
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C kk :: r-index. |
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C calc_CFL :: TRUE to calc. CFL from vel. |
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C delT :: time-step. |
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C vvel :: vel.-comp in y-direction. |
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C vfac :: vel.-flux in y-direction. |
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C fbar :: grid-cell values. |
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C flux :: adv.-flux in y-direction. |
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C myThid :: thread number. |
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C ================================================================ |
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integer meth |
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integer bi,bj,kk |
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logical calc_CFL |
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_RL delT |
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_RL vvel(1-OLx:sNx+OLx, |
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& 1-OLy:sNy+OLy) |
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_RL vfac(1-OLx:sNx+OLx, |
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& 1-OLy:sNy+OLy) |
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_RL fbar(1-OLx:sNx+OLx, |
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& 1-OLy:sNy+OLy) |
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_RL flux(1-OLx:sNx+OLx, |
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& 1-OLy:sNy+OLy) |
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integer myThid |
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C ================================================================ |
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C ix,iy,ir :: grid indexing. |
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C floc :: row of grid-cell values. |
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C mloc :: row of grid-cell mask values. |
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C fhat :: row of poly. coeff. |
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C - FHAT(:,I) = PQM coeff. |
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C edge :: row of edge-wise values/slopes. |
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C - EDGE(1,:) = VALUE. |
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C - EDGE(2,:) = DF/DY. |
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C ohat :: row of oscl. coeff. |
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C - OHAT(1,:) = D^1F/DS^1. |
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C - OHAT(2,:) = D^2F/DS^2. |
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C ================================================================ |
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integer ix,iy |
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_RL mloc(1-OLy:sNy+OLy) |
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_RL floc(1-OLy:sNy+OLy) |
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_RL fhat(1:5, |
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& 1-OLy:sNy+OLy) |
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_RL edge(1:2, |
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& 1-OLy:sNy+OLy) |
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_RL ohat(1:2, |
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& 1-OLy:sNy+OLy) |
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_RL vsum |
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do ix = 1-OLx+0, sNx+OLx-0 |
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C ==================== zero stencil "ghost" cells along boundaries |
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flux(ix, +1-OLy+0) = 0. _d 0 |
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flux(ix, +1-OLy+1) = 0. _d 0 |
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flux(ix, +1-OLy+2) = 0. _d 0 |
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flux(ix, +1-OLy+3) = 0. _d 0 |
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flux(ix,sNy+OLy-0) = 0. _d 0 |
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flux(ix,sNy+OLy-1) = 0. _d 0 |
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flux(ix,sNy+OLy-2) = 0. _d 0 |
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end do |
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C ================================================================ |
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C (1): copy a single row of data onto contiguous storage, treat |
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C as a set of one-dimensional problems. |
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C (2): calc. "oscillation-indicators" for each grid-cell if ad- |
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C vection scheme is WENO-class. |
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C (3): calc. edge-centred values/slopes by high-order interpol- |
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C ation. |
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C (4): calc. cell-centred polynomial profiles with appropriate |
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C slope-limiting. |
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C (5): calc. fluxes using a local, semi-lagrangian integration. |
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C ================================================================ |
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do ix = 1-OLx+0, sNx+OLx-0 |
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vsum = 0.0 _d 0 |
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do iy = 1-OLy+0, sNy+OLy-0 |
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C ================================== quick break on zero transport |
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vsum = vsum |
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& + abs(vfac(ix,iy)) |
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C ================================== make local unit-stride copies |
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floc(iy) = fbar (ix,iy) |
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mloc(iy) = |
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& maskC(ix,iy,kk,bi,bj) |
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end do |
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if (vsum .gt. 0. _d 0) then |
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C ==================== reconstruct derivatives for WENO indicators |
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if (meth.eq.ENUM_PQM_WENO_LIMIT) then |
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CALL GAD_OSC_HAT_Y(bi,bj,kk,ix, |
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& mloc,floc, |
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& ohat,myThid) |
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end if |
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C ==================== reconstruct 5th--order accurate edge values |
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CALL GAD_PQM_P5E_Y(bi,bj,kk,ix, |
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& mloc,floc, |
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& edge,myThid) |
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C ==================== reconstruct coeff. for grid-cell poynomials |
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CALL GAD_PQM_HAT_Y(bi,bj,kk,ix, |
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& meth, |
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& mloc,floc, |
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& edge,ohat, |
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& fhat,myThid) |
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C ==================== evaluate integral fluxes on grid-cell edges |
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CALL GAD_PQM_FLX_Y(bi,bj,kk,ix, |
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& calc_CFL, |
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& delT,vvel, |
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& vfac,fhat, |
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& flux,myThid) |
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else |
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do iy = 1-OLy+4, sNy+OLy-3 |
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C ================================== "null" flux on zero transport |
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flux(ix,iy) = 0.0 _d 0 |
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end do |
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end if |
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end do |
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return |
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c end subroutine GAD_PQM_ADV_Y |
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end |
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