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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_HAT_R(bi,bj,ix,iy, |
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& method,mask,fbar,edge, |
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& ohat,fhat,myThid) |
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C |================================================================| |
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C | PQM_HAT_R: reconstruct grid-cell PQM polynomials. | |
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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 ====================================================== arguments |
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C bi,bj :: tile indexing. |
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C ix,iy :: x-,y-indexing. |
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C method :: advection scheme. |
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C mask :: col. of cell-wise mask values. |
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C fbar :: col. of cell-wise values. |
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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 fhat :: col. of poly. coeff. |
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C - FHAT(:,I) = PQM coeff. |
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C myThid :: thread number. |
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C ================================================================ |
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integer bi,bj |
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integer ix,iy |
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integer method |
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_RL mask(1-3:Nr+3) |
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_RL fbar(1-3:Nr+3) |
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_RL edge(1:2, |
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& 1-0:Nr+1) |
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_RL ohat(1:2, |
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& 1-3:Nr+3) |
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_RL fhat(1:5, |
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& 1-0:Nr+0) |
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integer myThid |
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C ====================================================== variables |
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C ii,ir :: local r-indexing. |
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C ff00 :: centre-biased cell value. |
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C ffll,ffrr :: left-, and right-biased cell values. |
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C xhat :: local coord. scaling. |
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C fell,ferr :: left-, and right-biased edge values. |
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C dell,derr :: left-, and right-biased edge slopes. |
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C dfds :: linear slope estimates. |
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C uhat :: "NULL" limited poly. coeff. |
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C lhat :: "MONO" limited poly. coeff. |
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C scal :: "WENO" weights. |
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C fmag,fdel :: local perturbation indicators. |
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C ================================================================ |
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integer ii,ir |
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_RL ff00 |
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_RL ffll,ffrr |
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_RL rhat |
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_RL fell,ferr |
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_RL dell,derr |
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_RL dfds(-1:+1) |
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_RL uhat(+1:+5) |
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_RL lhat(+1:+5) |
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_RL scal(+1:+2) |
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_RL fmag,fdel |
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integer mono |
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do ir = +1, Nr |
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C =============================== scale to local grid-cell co-ords |
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rhat = drF(ir) * .5 _d 0 |
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C =============================== assemble cell mean + edge values |
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ff00 = fbar(ir+0) |
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ffll = ff00 |
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& + mask(ir-1)*(fbar(ir-1)-ff00) |
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ffrr = ff00 |
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& + mask(ir+1)*(fbar(ir+1)-ff00) |
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fell = edge(+1,ir-0) |
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ferr = edge(+1,ir+1) |
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dell = edge(+2,ir-0) |
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derr = edge(+2,ir+1) |
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dell = dell * rhat |
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derr = derr * rhat |
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c select case(method) |
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c case(ENUM_PQM_NULL_LIMIT) |
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if ( method.eq.ENUM_PQM_NULL_LIMIT ) then |
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C =============================== "NULL" limited grid-cell profile |
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CALL GAD_PQM_FUN_NULL ( ff00, |
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& fell,ferr,dell,derr,lhat,mono) |
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c case(ENUM_PQM_MONO_LIMIT) |
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elseif ( method.eq.ENUM_PQM_MONO_LIMIT ) then |
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C =============================== "MONO" limited grid-cell profile |
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CALL GAD_PLM_FUN_U(ffll,ff00,ffrr,dfds) |
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CALL GAD_PQM_FUN_MONO ( ff00,ffll,ffrr, |
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& fell,ferr,dell,derr,dfds,lhat, |
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& mono) |
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c case(ENUM_PQM_WENO_LIMIT) |
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elseif ( method.eq.ENUM_PQM_WENO_LIMIT ) then |
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C =============================== "WENO" limited grid-cell profile |
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CALL GAD_PLM_FUN_U(ffll,ff00,ffrr,dfds) |
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CALL GAD_PQM_FUN_NULL ( ff00, |
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& fell,ferr,dell,derr,uhat,mono) |
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CALL GAD_PQM_FUN_MONO ( ff00,ffll,ffrr, |
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& fell,ferr,dell,derr,dfds,lhat, |
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& mono) |
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if ( mono .gt. 0) then |
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C =============================== only apply WENO if it is worth it |
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fdel = abs(ffrr-ff00)+abs(ff00-ffll) |
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fmag = abs(ffll)+abs(ff00)+abs(ffrr) |
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if (fdel .gt. 1. _d -6 * fmag) then |
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C =============================== calc. WENO oscillation weighting |
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CALL GAD_OSC_MUL_R(ir,+2,mask, |
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& ohat,scal) |
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do ii = +1, +5 |
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C =============================== blend limited/un-limited profile |
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lhat(ii) = scal(1) * uhat(ii) |
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& + scal(2) * lhat(ii) |
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end do |
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end if |
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end if |
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c end select |
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endif |
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do ii = +1, +5 |
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C =============================== copy polynomial onto output data |
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fhat(ii,ir) = lhat(ii) |
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end do |
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end do |
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return |
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c end subroutine GAD_PQM_HAT_R |
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end |
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