C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_pqm_hat_y.F,v 1.1 2016/03/13 01:44:03 jmc Exp $ C $Name: $ # include "GAD_OPTIONS.h" SUBROUTINE GAD_PQM_HAT_Y(bi,bj,kk,ix, & method,mask,fbar,edge, & ohat,fhat,myThid) C |================================================================| C | PQM_HAT_Y: reconstruct grid-cell PQM polynomials. | C |================================================================| implicit none C =============================================== global variables # include "SIZE.h" # include "GRID.h" # include "GAD.h" C ====================================================== arguments C bi,bj :: tile indices. C kk :: r-index. C ix :: x-index. C method :: advection scheme. C mask :: row of cell-wise mask values. C fbar :: row of cell-wise values. C edge :: row of edge-wise values/slopes. C - EDGE(1,:) = VALUE. C - EDGE(2,:) = DF/DY. C ohat :: row of oscl. coeff. C - OHAT(1,:) = D^1F/DS^1. C - OHAT(2,:) = D^2F/DS^2. C fhat :: row of poly. coeff. C - FHAT(:,I) = PQM coeff. C myThid :: thread number. C ================================================================ integer bi,bj,kk,ix integer method _RL mask(1-OLy:sNy+OLy) _RL fbar(1-OLy:sNy+OLy) _RL edge(1:2, & 1-OLy:sNy+OLy) _RL ohat(1:2, & 1-OLy:sNy+OLy) _RL fhat(1:5, & 1-OLy:sNy+OLy) integer myThid C ====================================================== variables C ii,iy :: local x-indexing. C ff00 :: centre-biased cell value. C ffll,ffrr :: left-, and right-biased cell values. C xhat :: local coord. scaling. C fell,ferr :: left-, and right-biased edge values. C dell,derr :: left-, and right-biased edge slopes. C dfds :: linear slope estimates. C uhat :: "NULL" limited poly. coeff. C lhat :: "MONO" limited poly. coeff. C scal :: "WENO" weights. C fmag,fdel :: local perturbation indicators. C ================================================================ integer ii,iy _RL ff00 _RL ffll,ffrr _RL yhat _RL fell,ferr _RL dell,derr _RL dfds(-1:+1) _RL uhat(+1:+5) _RL lhat(+1:+5) _RL scal(+1:+2) _RL fmag,fdel integer mono C ==================== reconstruct coeff. for grid-cell poynomials do iy = 1-OLy+3, sNy+OLy-3 if (mask(iy) .gt. 0. _d 0) then C =============================== scale to local grid-cell co-ords yhat = dyF(ix,iy,bi,bj) * 0.5 _d 0 C =============================== assemble cell mean + edge values ff00 = fbar(iy+0) ffll = ff00 & + mask(iy-1)*(fbar(iy-1)-ff00) ffrr = ff00 & + mask(iy+1)*(fbar(iy+1)-ff00) fell = edge(+1,iy-0) ferr = edge(+1,iy+1) dell = edge(+2,iy-0) derr = edge(+2,iy+1) dell = dell * yhat derr = derr * yhat c select case(method) c case(ENUM_PQM_NULL_LIMIT) if ( method.eq.ENUM_PQM_NULL_LIMIT ) then C =============================== "NULL" limited grid-cell profile CALL GAD_PQM_FUN_NULL ( ff00, & fell,ferr,dell,derr,lhat,mono) c case(ENUM_PQM_MONO_LIMIT) elseif ( method.eq.ENUM_PQM_MONO_LIMIT ) then C =============================== "MONO" limited grid-cell profile CALL GAD_PLM_FUN_U(ffll,ff00,ffrr,dfds) CALL GAD_PQM_FUN_MONO ( ff00,ffll,ffrr, & fell,ferr,dell,derr,dfds,lhat, & mono) c case(ENUM_PQM_WENO_LIMIT) elseif ( method.eq.ENUM_PQM_WENO_LIMIT ) then C =============================== "WENO" limited grid-cell profile CALL GAD_PLM_FUN_U(ffll,ff00,ffrr,dfds) CALL GAD_PQM_FUN_NULL ( ff00, & fell,ferr,dell,derr,uhat,mono) CALL GAD_PQM_FUN_MONO ( ff00,ffll,ffrr, & fell,ferr,dell,derr,dfds,lhat, & mono) if ( mono .gt. 0) then C =============================== only apply WENO if it is worth it fdel = abs(ffrr-ff00)+abs(ff00-ffll) fmag = abs(ffll)+abs(ff00)+abs(ffrr) if (fdel .gt. 1. _d -6 * fmag) then C =============================== calc. WENO oscillation weighting CALL GAD_OSC_MUL_Y(iy,+2,mask, & ohat,scal) do ii = +1, +5 C =============================== blend limited/un-limited profile lhat(ii) = scal(1) * uhat(ii) & + scal(2) * lhat(ii) end
do end
if end
if c end select endif do ii = +1, +5 C =============================== copy polynomial onto output data fhat(ii,iy) = lhat(ii) end
do else do ii = +1, +5 fhat(ii,iy) = 0.0 _d 0 end
do end
if end
do return c end subroutine GAD_PQM_HAT_Y end