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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_FLX_X(bi,bj,kk,iy, |
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& calc_CFL,delT,uvel, |
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& ufac,fhat,flux,myThid) |
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C |================================================================| |
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C | PQM_FLX_X: evaluate PQM flux on grid-cell edges. | |
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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 bi,bj :: tile indexing. |
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C kk :: r-index. |
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C iy :: y-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 uvel :: vel.-comp in x-direction. |
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C ufac :: vel.-flux in x-direction. |
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C fhat :: row of poly. coeff. |
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C flux :: adv.-flux in x-direction. |
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C myThid :: thread number. |
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C ================================================================ |
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integer bi,bj,kk,iy |
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logical calc_CFL |
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_RL delT |
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_RL uvel(1-OLx:sNx+OLx, |
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& 1-OLy:sNy+OLy) |
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_RL ufac(1-OLx:sNx+OLx, |
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& 1-OLy:sNy+OLy) |
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_RL fhat(1:5, |
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& 1-OLx:sNx+OLx) |
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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 :: x-indexing. |
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C uCFL :: CFL number. |
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C intF :: upwind tracer edge-value. |
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C ss11,ss22 :: int. endpoints. |
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C ivec :: int. basis vec. |
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C ================================================================ |
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integer ix |
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_RL uCFL,intF |
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_RL ss11,ss22 |
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_RL ivec(1:5) |
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C ================================================================ |
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C (1): calc. "departure-points" for each grid-cell edge by int- |
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C egrating edge position backward in time over one single |
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C time-step. This is a "single-cell" implementation: requ- |
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C ires CFL <= 1.0. |
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C (2): calc. flux as the integral of the upwind grid-cell poly- |
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C nomial over the deformation interval found in (1). |
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C ================================================================ |
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do ix = 1-OLx+4, sNx+OLx-3 |
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if (uvel(ix,iy) .eq. 0. _d 0) then |
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flux(ix,iy) = 0. _d 0 |
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else |
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if (uvel(ix,iy) .gt. 0. _d 0) then |
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C ==================== integrate PQM profile over upwind cell IX-1 |
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if ( calc_CFL ) then |
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uCFL = uvel(ix,iy) * delT |
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& * recip_dxF(ix-1,iy,bi,bj) |
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& * recip_deepFacC(kk) |
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else |
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uCFL = uvel(ix,iy) |
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end if |
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ss11 = +1. _d 0 - 2. _d 0 * uCFL |
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ss22 = +1. _d 0 |
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C ==================== integrate profile over region swept by face |
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ivec(1) = ss22 - ss11 |
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ivec(2) =(ss22 ** 2 |
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& - ss11 ** 2)*(1. _d 0 / 2. _d 0) |
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ivec(3) =(ss22 ** 3 |
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& - ss11 ** 3)*(1. _d 0 / 3. _d 0) |
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ivec(4) =(ss22 ** 4 |
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& - ss11 ** 4)*(1. _d 0 / 4. _d 0) |
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ivec(5) =(ss22 ** 5 |
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& - ss11 ** 5)*(1. _d 0 / 5. _d 0) |
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intF = ivec(1) * fhat(1,ix-1) |
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& + ivec(2) * fhat(2,ix-1) |
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& + ivec(3) * fhat(3,ix-1) |
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& + ivec(4) * fhat(4,ix-1) |
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& + ivec(5) * fhat(5,ix-1) |
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intF = intF / (ss22 - ss11) |
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else |
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C ==================== integrate PQM profile over upwind cell IX+0 |
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if ( calc_CFL ) then |
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uCFL = uvel(ix,iy) * delT |
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& * recip_dxF(ix-0,iy,bi,bj) |
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& * recip_deepFacC(kk) |
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else |
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uCFL = uvel(ix,iy) |
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end if |
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ss11 = -1. _d 0 - 2. _d 0 * uCFL |
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ss22 = -1. _d 0 |
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C ==================== integrate profile over region swept by face |
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ivec(1) = ss22 - ss11 |
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ivec(2) =(ss22 ** 2 |
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& - ss11 ** 2)*(1. _d 0 / 2. _d 0) |
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ivec(3) =(ss22 ** 3 |
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& - ss11 ** 3)*(1. _d 0 / 3. _d 0) |
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ivec(4) =(ss22 ** 4 |
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& - ss11 ** 4)*(1. _d 0 / 4. _d 0) |
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ivec(5) =(ss22 ** 5 |
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& - ss11 ** 5)*(1. _d 0 / 5. _d 0) |
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intF = ivec(1) * fhat(1,ix-0) |
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& + ivec(2) * fhat(2,ix-0) |
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& + ivec(3) * fhat(3,ix-0) |
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& + ivec(4) * fhat(4,ix-0) |
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& + ivec(5) * fhat(5,ix-0) |
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intF = intF / (ss22 - ss11) |
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end if |
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C ==================== calc. flux = upwind tracer * face-transport |
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flux(ix,iy) = + ufac(ix,iy) * intF |
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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_FLX_X |
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end |
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