@@ -438,16 +438,16 @@ program main
438438 - (max (u(ip,j,k),0.0d0 )* phi(i,j,k) + min (u(ip,j,k),0.0d0 )* phi(ip,j,k) - &
439439 min (u(i,j,k),0.0d0 )* phi(i,j,k) - max (u(i,j,k),0.0d0 )* phi(im,j,k))* dxi &
440440 - (max (v(i,jp,k),0.0d0 )* phi(i,j,k) + min (v(i,jp,k),0.0d0 )* phi(i,jp,k) - &
441- min (v(i,j,k),0.0d0 )* phi(i,j,k) - max (v(i,j,k),0.0d0 )* phi(i,jm,k))* dxi &
441+ min (v(i,j,k),0.0d0 )* phi(i,j,k) - max (v(i,j,k),0.0d0 )* phi(i,jm,k))* dyi &
442442 - (max (w(i,j,kp),0.0d0 )* phi(i,j,k) + min (w(i,j,kp),0.0d0 )* phi(i,j,kp) - &
443- min (w(i,j,k),0.0d0 )* phi(i,j,k) - max (w(i,j,k),0.0d0 )* phi(i,j,km))* dxi &
443+ min (w(i,j,k),0.0d0 )* phi(i,j,k) - max (w(i,j,k),0.0d0 )* phi(i,j,km))/ dz &
444444 + gamma* (eps* (phi(ip,j,k)- 2.d0 * phi(i,j,k)+ phi(im,j,k))* ddxi + &
445- eps* (phi(i,jp,k)- 2.d0 * phi(i,j,k)+ phi(i,jm,k))* ddxi + &
446- eps* (phi(i,j,kp)- 2.d0 * phi(i,j,k)+ phi(i,j,km))* ddxi )
445+ eps* (phi(i,jp,k)- 2.d0 * phi(i,j,k)+ phi(i,jm,k))* ddyi + &
446+ eps* (phi(i,j,kp)- 2.d0 * phi(i,j,k)+ phi(i,j,km))* ddzi )
447447 ! 4.1.3. Compute normals for sharpening term (gradient)
448- normx(i,j,k) = (psidi(ip,j,k) - psidi(im,j,k))
449- normy(i,j,k) = (psidi(i,jp,k) - psidi(i,jm,k))
450- normz(i,j,k) = (psidi(i,j,kp) - psidi(i,j,km))
448+ normx(i,j,k) = 0.5d0 * (psidi(ip,j,k) - psidi(im,j,k))* dxi
449+ normy(i,j,k) = 0.5d0 * (psidi(i,jp,k) - psidi(i,jm,k))* dyi
450+ normz(i,j,k) = 0.5d0 * (psidi(i,j,kp) - psidi(i,j,km))/ dz
451451 enddo
452452 enddo
453453 enddo
@@ -508,21 +508,18 @@ program main
508508 normz_zm = 0.5d0 * (normz(i,j,km)+ normz(i,j,k))
509509 normz_zp = 0.5d0 * (normz(i,j,kp)+ normz(i,j,k))
510510 ! sharpening term
511- !
512511 rn_01 = normx_xm/ (sqrt (normx_xm** 2.0d0 + normy_xm** 2.0d0 + normz_xm** 2.0d0 )+ enum)
513512 rn_11 = normx_xp/ (sqrt (normx_xp** 2.0d0 + normy_xp** 2.0d0 + normz_xp** 2.0d0 )+ enum)
514513 rn_02 = normy_ym/ (sqrt (normx_ym** 2.0d0 + normy_ym** 2.0d0 + normz_ym** 2.0d0 )+ enum)
515514 rn_12 = normy_yp/ (sqrt (normx_yp** 2.0d0 + normy_yp** 2.0d0 + normz_yp** 2.0d0 )+ enum)
516515 rn_03 = normz_zm/ (sqrt (normx_zm** 2.0d0 + normy_zm** 2.0d0 + normz_zm** 2.0d0 )+ enum)
517516 rn_13 = normz_zp/ (sqrt (normx_zp** 2.0d0 + normy_zp** 2.0d0 + normz_zp** 2.0d0 )+ enum)
518- !
519517 sharpxm = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,j,k)+ psidi(im,j,k))* epsi))** 2.0d0 )* rn_01)
520518 sharpxp = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(ip,j,k)+ psidi(i,j,k))* epsi))** 2.0d0 )* rn_11)
521519 sharpym = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,j,k)+ psidi(i,jm,k))* epsi))** 2.0d0 )* rn_02)
522520 sharpyp = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,jp,k)+ psidi(i,j,k))* epsi))** 2.0d0 )* rn_12)
523521 sharpzm = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,j,k)+ psidi(i,j,km))* epsi))** 2.0d0 )* rn_03)
524522 sharpzp = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,j,kp)+ psidi(i,j,k))* epsi))** 2.0d0 )* rn_13)
525- !
526523 rhsphi(i,j,k)= rhsphi(i,j,k)- dxi* ((sharpxp- sharpxm)+ (sharpyp- sharpym)+ (sharpzp- sharpzm))
527524 enddo
528525 enddo
@@ -589,16 +586,16 @@ program main
589586 - (max (u(ip,j,k),0.0d0 )* phi_tmp(i,j,k) + min (u(ip,j,k),0.0d0 )* phi_tmp(ip,j,k) - &
590587 min (u(i,j,k),0.0d0 )* phi_tmp(i,j,k) - max (u(i,j,k),0.0d0 )* phi_tmp(im,j,k))* dxi &
591588 - (max (v(i,jp,k),0.0d0 )* phi_tmp(i,j,k) + min (v(i,jp,k),0.0d0 )* phi_tmp(i,jp,k) - &
592- min (v(i,j,k),0.0d0 )* phi_tmp(i,j,k) - max (v(i,j,k),0.0d0 )* phi_tmp(i,jm,k))* dxi &
589+ min (v(i,j,k),0.0d0 )* phi_tmp(i,j,k) - max (v(i,j,k),0.0d0 )* phi_tmp(i,jm,k))* dyi &
593590 - (max (w(i,j,kp),0.0d0 )* phi_tmp(i,j,k) + min (w(i,j,kp),0.0d0 )* phi_tmp(i,j,kp) - &
594- min (w(i,j,k),0.0d0 )* phi_tmp(i,j,k) - max (w(i,j,k),0.0d0 )* phi_tmp(i,j,km))* dxi &
591+ min (w(i,j,k),0.0d0 )* phi_tmp(i,j,k) - max (w(i,j,k),0.0d0 )* phi_tmp(i,j,km))/ dz &
595592 + gamma* (eps* (phi_tmp(ip,j,k)- 2.d0 * phi_tmp(i,j,k)+ phi_tmp(im,j,k))* ddxi + &
596- eps* (phi_tmp(i,jp,k)- 2.d0 * phi_tmp(i,j,k)+ phi_tmp(i,jm,k))* ddxi + &
597- eps* (phi_tmp(i,j,kp)- 2.d0 * phi_tmp(i,j,k)+ phi_tmp(i,j,km))* ddxi )
593+ eps* (phi_tmp(i,jp,k)- 2.d0 * phi_tmp(i,j,k)+ phi_tmp(i,jm,k))* ddyi + &
594+ eps* (phi_tmp(i,j,kp)- 2.d0 * phi_tmp(i,j,k)+ phi_tmp(i,j,km))* ddzi )
598595 ! 4.1.3. Compute normals for sharpening term (gradient)
599- normx(i,j,k) = (psidi(ip,j,k) - psidi(im,j,k))
600- normy(i,j,k) = (psidi(i,jp,k) - psidi(i,jm,k))
601- normz(i,j,k) = (psidi(i,j,kp) - psidi(i,j,km))
596+ normx(i,j,k) = 0.5d0 * (psidi(ip,j,k) - psidi(im,j,k))* dxi
597+ normy(i,j,k) = 0.5d0 * (psidi(i,jp,k) - psidi(i,jm,k))* dyi
598+ normz(i,j,k) = 0.5d0 * (psidi(i,j,kp) - psidi(i,j,km))/ dz
602599 enddo
603600 enddo
604601 enddo
@@ -723,16 +720,16 @@ program main
723720 - (max (u(ip,j,k),0.0d0 )* phi_tmp(i,j,k) + min (u(ip,j,k),0.0d0 )* phi_tmp(ip,j,k) - &
724721 min (u(i,j,k),0.0d0 )* phi_tmp(i,j,k) - max (u(i,j,k),0.0d0 )* phi_tmp(im,j,k))* dxi &
725722 - (max (v(i,jp,k),0.0d0 )* phi_tmp(i,j,k) + min (v(i,jp,k),0.0d0 )* phi_tmp(i,jp,k) - &
726- min (v(i,j,k),0.0d0 )* phi_tmp(i,j,k) - max (v(i,j,k),0.0d0 )* phi_tmp(i,jm,k))* dxi &
723+ min (v(i,j,k),0.0d0 )* phi_tmp(i,j,k) - max (v(i,j,k),0.0d0 )* phi_tmp(i,jm,k))* dyi &
727724 - (max (w(i,j,kp),0.0d0 )* phi_tmp(i,j,k) + min (w(i,j,kp),0.0d0 )* phi_tmp(i,j,kp) - &
728- min (w(i,j,k),0.0d0 )* phi_tmp(i,j,k) - max (w(i,j,k),0.0d0 )* phi_tmp(i,j,km))* dxi &
725+ min (w(i,j,k),0.0d0 )* phi_tmp(i,j,k) - max (w(i,j,k),0.0d0 )* phi_tmp(i,j,km))/ dz &
729726 + gamma* (eps* (phi_tmp(ip,j,k)- 2.d0 * phi_tmp(i,j,k)+ phi_tmp(im,j,k))* ddxi + &
730- eps* (phi_tmp(i,jp,k)- 2.d0 * phi_tmp(i,j,k)+ phi_tmp(i,jm,k))* ddxi + &
731- eps* (phi_tmp(i,j,kp)- 2.d0 * phi_tmp(i,j,k)+ phi_tmp(i,j,km))* ddxi )
727+ eps* (phi_tmp(i,jp,k)- 2.d0 * phi_tmp(i,j,k)+ phi_tmp(i,jm,k))* ddyi + &
728+ eps* (phi_tmp(i,j,kp)- 2.d0 * phi_tmp(i,j,k)+ phi_tmp(i,j,km))* ddzi )
732729 ! 4.1.3. Compute normals for sharpening term (gradient)
733- normx(i,j,k) = (psidi(ip,j,k) - psidi(im,j,k))
734- normy(i,j,k) = (psidi(i,jp,k) - psidi(i,jm,k))
735- normz(i,j,k) = (psidi(i,j,kp) - psidi(i,j,km))
730+ normx(i,j,k) = 0.5d0 * (psidi(ip,j,k) - psidi(im,j,k))* dxi
731+ normy(i,j,k) = 0.5d0 * (psidi(i,jp,k) - psidi(i,jm,k))* dyi
732+ normz(i,j,k) = 0.5d0 * (psidi(i,j,kp) - psidi(i,j,km))/ dz
736733 enddo
737734 enddo
738735 enddo
@@ -779,18 +776,18 @@ program main
779776 normz_zm = 0.5d0 * (normz(i,j,km)+ normz(i,j,k))
780777 normz_zp = 0.5d0 * (normz(i,j,kp)+ normz(i,j,k))
781778 ! sharpening term
782- rn_01 = normx_xm/ (sqrt (normx_xm** 2.0d0 + normy_xm** 2.0d0 + normz_xm** 2.0d0 )+ enum)
783- rn_11 = normx_xp/ (sqrt (normx_xp** 2.0d0 + normy_xp** 2.0d0 + normz_xp** 2.0d0 )+ enum)
784- rn_02 = normy_ym/ (sqrt (normx_ym** 2.0d0 + normy_ym** 2.0d0 + normz_ym** 2.0d0 )+ enum)
785- rn_12 = normy_yp/ (sqrt (normx_yp** 2.0d0 + normy_yp** 2.0d0 + normz_yp** 2.0d0 )+ enum)
786- rn_03 = normz_zm/ (sqrt (normx_zm** 2.0d0 + normy_zm** 2.0d0 + normz_zm** 2.0d0 )+ enum)
787- rn_13 = normz_zp/ (sqrt (normx_zp** 2.0d0 + normy_zp** 2.0d0 + normz_zp** 2.0d0 )+ enum)
788- sharpxm = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,j,k)+ psidi(im,j,k))* epsi))** 2.0d0 )* rn_01)
789- sharpxp = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(ip,j,k)+ psidi(i,j,k))* epsi))** 2.0d0 )* rn_11)
790- sharpym = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,j,k)+ psidi(i,jm,k))* epsi))** 2.0d0 )* rn_02)
791- sharpyp = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,jp,k)+ psidi(i,j,k))* epsi))** 2.0d0 )* rn_12)
792- sharpzm = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,j,k)+ psidi(i,j,km))* epsi))** 2.0d0 )* rn_03)
793- sharpzp = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,j,kp)+ psidi(i,j,k))* epsi))** 2.0d0 )* rn_13)
779+ rn_01 = normx_xm/ (sqrt (normx_xm** 2.d0 + normy_xm** 2.d0 + normz_xm** 2.d0 )+ enum)
780+ rn_11 = normx_xp/ (sqrt (normx_xp** 2.d0 + normy_xp** 2.d0 + normz_xp** 2.d0 )+ enum)
781+ rn_02 = normy_ym/ (sqrt (normx_ym** 2.d0 + normy_ym** 2.d0 + normz_ym** 2.d0 )+ enum)
782+ rn_12 = normy_yp/ (sqrt (normx_yp** 2.d0 + normy_yp** 2.d0 + normz_yp** 2.d0 )+ enum)
783+ rn_03 = normz_zm/ (sqrt (normx_zm** 2.d0 + normy_zm** 2.d0 + normz_zm** 2.d0 )+ enum)
784+ rn_13 = normz_zp/ (sqrt (normx_zp** 2.d0 + normy_zp** 2.d0 + normz_zp** 2.d0 )+ enum)
785+ sharpxm = 0.25d0 * gamma* ((1.d0 - (tanh (0.25d0 * (psidi(i,j,k)+ psidi(im,j,k))* epsi))** 2.d0 )* rn_01)
786+ sharpxp = 0.25d0 * gamma* ((1.d0 - (tanh (0.25d0 * (psidi(ip,j,k)+ psidi(i,j,k))* epsi))** 2.d0 )* rn_11)
787+ sharpym = 0.25d0 * gamma* ((1.d0 - (tanh (0.25d0 * (psidi(i,j,k)+ psidi(i,jm,k))* epsi))** 2.d0 )* rn_02)
788+ sharpyp = 0.25d0 * gamma* ((1.d0 - (tanh (0.25d0 * (psidi(i,jp,k)+ psidi(i,j,k))* epsi))** 2.d0 )* rn_12)
789+ sharpzm = 0.25d0 * gamma* ((1.d0 - (tanh (0.25d0 * (psidi(i,j,k)+ psidi(i,j,km))* epsi))** 2.d0 )* rn_03)
790+ sharpzp = 0.25d0 * gamma* ((1.d0 - (tanh (0.25d0 * (psidi(i,j,kp)+ psidi(i,j,k))* epsi))** 2.d0 )* rn_13)
794791 rhsphik3(i,j,k)= rhsphik3(i,j,k)- dxi* ((sharpxp- sharpxm)+ (sharpyp- sharpym)+ (sharpzp- sharpzm))
795792 enddo
796793 enddo
@@ -864,9 +861,9 @@ program main
864861 eps* (phi_tmp(i,jp,k)- 2.d0 * phi_tmp(i,j,k)+ phi_tmp(i,jm,k))* ddxi + &
865862 eps* (phi_tmp(i,j,kp)- 2.d0 * phi_tmp(i,j,k)+ phi_tmp(i,j,km))* ddxi)
866863 ! 4.1.3. Compute normals for sharpening term (gradient)
867- normx(i,j,k) = (psidi(ip,j,k) - psidi(im,j,k))
868- normy(i,j,k) = (psidi(i,jp,k) - psidi(i,jm,k))
869- normz(i,j,k) = (psidi(i,j,kp) - psidi(i,j,km))
864+ normx(i,j,k) = 0.5d0 * (psidi(ip,j,k) - psidi(im,j,k))* dxi
865+ normy(i,j,k) = 0.5d0 * (psidi(i,jp,k) - psidi(i,jm,k))* dyi
866+ normz(i,j,k) = 0.5d0 * (psidi(i,j,kp) - psidi(i,j,km))/ dz
870867 enddo
871868 enddo
872869 enddo
@@ -919,14 +916,12 @@ program main
919916 rn_12 = normy_yp/ (sqrt (normx_yp** 2.0d0 + normy_yp** 2.d0 + normz_yp** 2.0d0 )+ enum)
920917 rn_03 = normz_zm/ (sqrt (normx_zm** 2.0d0 + normy_zm** 2.d0 + normz_zm** 2.0d0 )+ enum)
921918 rn_13 = normz_zp/ (sqrt (normx_zp** 2.0d0 + normy_zp** 2.d0 + normz_zp** 2.0d0 )+ enum)
922- !
923919 sharpxm = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,j,k)+ psidi(im,j,k))* epsi))** 2.0d0 )* rn_01)
924920 sharpxp = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(ip,j,k)+ psidi(i,j,k))* epsi))** 2.0d0 )* rn_11)
925921 sharpym = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,j,k)+ psidi(i,jm,k))* epsi))** 2.0d0 )* rn_02)
926922 sharpyp = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,jp,k)+ psidi(i,j,k))* epsi))** 2.0d0 )* rn_12)
927923 sharpzm = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,j,k)+ psidi(i,j,km))* epsi))** 2.0d0 )* rn_03)
928924 sharpzp = 0.25d0 * gamma* ((1.0d0 - (tanh (0.25d0 * (psidi(i,j,kp)+ psidi(i,j,k))* epsi))** 2.0d0 )* rn_13)
929- !
930925 rhsphik4(i,j,k)= rhsphik4(i,j,k)- dxi* ((sharpxp- sharpxm)+ (sharpyp- sharpym)+ (sharpzp- sharpzm))
931926 enddo
932927 enddo
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