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C $Header: $ |
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C $Name: $ |
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# include "GAD_OPTIONS.h" |
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|
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SUBROUTINE GAD_PPM_ADV_R(meth,bi,bj, |
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I delT,velR,facR,fbar, |
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O flux,myThid ) |
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C |================================================================| |
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C | PPM_ADV_R: evaluate grid-cell advective flux in R. | |
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C | Lagrangian-type Piecewise Parabolic Method (PPM). | |
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C |================================================================| |
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|
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implicit none |
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|
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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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|
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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 delT :: level-wise time-steps. |
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C velR :: vel. field in r-direction. |
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C facR :: grid-areas in r-direction. |
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C fbar :: grid-cell values. |
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C flux :: trac.-flux in r-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 |
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_RL delT(1:Nr) |
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_RL velR(1-OLx:sNx+OLx, |
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& 1-OLy:sNy+OLy, |
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& 1:Nr) |
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_RL facR(1-OLx:sNx+OLx, |
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& 1-OLy:sNy+OLy, |
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& 1:Nr) |
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_RL fbar(1-OLx:sNx+OLx, |
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& 1-OLy:sNy+OLy, |
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& 1:Nr) |
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_RL flux(1-OLx:sNx+OLx, |
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& 1-OLy:sNy+OLy, |
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& 1:Nr) |
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integer myThid |
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|
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C ================================================================ |
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C ix,iy,ir :: grid indexing. |
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C floc :: col. of grid-cell values. |
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C mloc :: col. of grid-cell mask values. |
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C fhat :: col. of poly. coeff. |
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C - FHAT(:,I) = PQM coeff. |
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C edge :: col. of edge-wise values/slopes. |
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C - EDGE(1,:) = VALUE. |
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C - EDGE(2,:) = DF/DR. |
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C ohat :: col. 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,ir |
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_RL floc( 1-3:Nr+3) |
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_RL mloc( 1-3:Nr+3) |
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_RL fhat(1:3,1-0:Nr+0) |
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_RL edge( 1-0:Nr+1) |
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_RL ohat(1:2,1-3:Nr+3) |
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_RL vsum |
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|
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C ======================================= mask boundary conditions |
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mloc( -2) = 0.0 _d 0 |
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mloc( -1) = 0.0 _d 0 |
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mloc( +0) = 0.0 _d 0 |
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mloc(Nr+1) = 0.0 _d 0 |
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mloc(Nr+2) = 0.0 _d 0 |
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mloc(Nr+3) = 0.0 _d 0 |
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|
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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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|
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do iy = 1-OLy+0, sNy+OLy-0 |
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do ix = 1-OLx+0, sNx+OLx-0 |
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C ======================================= no flux through surf. bc |
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flux(ix,iy,+1) = 0.0 _d +0 |
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end do |
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end do |
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|
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C ==================== calculate transport for interior grid-cells |
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do iy = 1-OLy+0, sNy+OLy-0 |
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do ix = 1-OLx+0, sNx+OLx-0 |
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|
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vsum = 0.0 _d 0 |
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do ir = 2, Nr |
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C ================================== quick break on zero transport |
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vsum = vsum |
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& + abs(velR(ix,iy,ir)) |
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end do |
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|
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if (vsum .gt. 0. _d 0) then |
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|
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do ir = 1, Nr |
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C ================================== make local unit-stride copies |
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floc(ir) = fbar(ix,iy,ir) |
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mloc(ir) = |
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& maskC(ix,iy,ir,bi,bj) |
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end do |
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|
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C ================================== make mask boundary conditions |
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floc( -2) = floc(+1) |
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floc( -1) = floc(+1) |
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floc( +0) = floc(+1) |
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floc(Nr+1) = floc(Nr) |
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floc(Nr+2) = floc(Nr) |
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floc(Nr+3) = floc(Nr) |
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|
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C ==================== reconstruct derivatives for WENO indicators |
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if (meth.eq.ENUM_PPM_WENO_LIMIT) then |
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CALL GAD_OSC_HAT_R(bi,bj,ix,iy, |
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& mloc,floc, |
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& ohat,myThid) |
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end if |
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|
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C ==================== reconstruct 3rd--order accurate edge values |
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CALL GAD_PPM_P3E_R(bi,bj,ix,iy, |
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& mloc,floc, |
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& edge,myThid) |
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|
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C ==================== reconstruct coeff. for grid-cell poynomials |
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CALL GAD_PPM_HAT_R(bi,bj,ix,iy, |
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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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|
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C ==================== evaluate integral fluxes on grid-cell edges |
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CALL GAD_PPM_FLX_R(bi,bj,ix,iy, |
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& delT,velR, |
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& facR,fhat, |
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& flux,myThid) |
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|
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else |
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|
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do ir = 2, Nr |
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C ================================== "null" flux on zero transport |
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flux(ix,iy,ir) = 0.0 _d +0 |
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end do |
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|
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end if |
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|
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end do |
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end do |
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|
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return |
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|
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c end subroutine GAD_PPM_ADV_R |
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end |
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