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!Crown Copyright 2012 AWE.
!
! This file is part of CloverLeaf.
!
! CloverLeaf is free software: you can redistribute it and/or modify it under
! the terms of the GNU General Public License as published by the
! Free Software Foundation, either version 3 of the License, or (at your option)
! any later version.
!
! CloverLeaf is distributed in the hope that it will be useful, but
! WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
! FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
! details.
!
! You should have received a copy of the GNU General Public License along with
! CloverLeaf. If not, see http://www.gnu.org/licenses/.
!> @brief Fortran PdV kernel.
!> @author Wayne Gaudin
!> @details Calculates the change in energy and density in a cell using the
!> change on cell volume due to the velocity gradients in a cell. The time
!> level of the velocity data depends on whether it is invoked as the
!> predictor or corrector.
MODULE PdV_kernel_module
CONTAINS
attributes(global) SUBROUTINE PdV_kernel_1p(x_min,x_max,y_min,y_max,dt, &
xarea,yarea,volume, &
density0, &
density1, &
energy0, &
energy1, &
pressure, &
viscosity, &
xvel0, &
yvel0, &
volume_change )
IMPLICIT NONE
INTEGER, value :: x_min,x_max,y_min,y_max
REAL(KIND=8), value :: dt
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+3,y_min-2:y_max+2) :: xarea
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+3) :: yarea
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: volume
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: density0,energy0
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: pressure
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: density1,energy1
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: viscosity
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+3,y_min-2:y_max+3) :: xvel0,yvel0
REAL(KIND=8), DIMENSION(x_min-2:x_max+3,y_min-2:y_max+3) :: volume_change
INTEGER :: j,k
REAL(KIND=8) :: recip_volume,energy_change,min_cell_volume
REAL(KIND=8) :: right_flux,left_flux,top_flux,bottom_flux,total_flux
real(kind=8) :: volume_jk, density0_jk
j = (blockIdx%x-1)*blockDim%x + threadIdx%x + x_min-1
k = (blockIdx%y-1)*blockDim%y + threadIdx%y + y_min-1
if ( j <= x_max .and. k <= y_max) then
volume_jk = volume(j,k)
density0_jk = density0(j,k)
left_flux= (xarea(j ,k )*(xvel0(j ,k )+xvel0(j ,k+1) &
+xvel0(j ,k )+xvel0(j ,k+1)))*0.25_8*dt*0.5
right_flux= (xarea(j+1,k )*(xvel0(j+1,k )+xvel0(j+1,k+1) &
+xvel0(j+1,k )+xvel0(j+1,k+1)))*0.25_8*dt*0.5
bottom_flux=(yarea(j ,k )*(yvel0(j ,k )+yvel0(j+1,k ) &
+yvel0(j ,k )+yvel0(j+1,k )))*0.25_8*dt*0.5
top_flux= (yarea(j ,k+1)*(yvel0(j ,k+1)+yvel0(j+1,k+1) &
+yvel0(j ,k+1)+yvel0(j+1,k+1)))*0.25_8*dt*0.5
total_flux=right_flux-left_flux+top_flux-bottom_flux
volume_change(j,k)=volume_jk/(volume_jk+total_flux)
min_cell_volume=MIN(volume_jk+right_flux-left_flux+top_flux-bottom_flux &
,volume_jk+right_flux-left_flux &
,volume_jk+top_flux-bottom_flux)
recip_volume=1.0/volume_jk
energy_change=(pressure(j,k)/density0_jk+viscosity(j,k)/density0_jk)*total_flux*recip_volume
energy1(j,k)=energy0(j,k)-energy_change
density1(j,k)=density0_jk*volume_change(j,k)
end if
END SUBROUTINE PdV_kernel_1p
attributes(global) SUBROUTINE PdV_kernel_1c(x_min,x_max,y_min,y_max,dt, &
xarea,yarea,volume, &
density0, &
density1, &
energy0, &
energy1, &
pressure, &
viscosity, &
xvel0, &
xvel1, &
yvel0, &
yvel1, &
volume_change )
IMPLICIT NONE
INTEGER, value :: x_min,x_max,y_min,y_max
REAL(KIND=8), value :: dt
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+3,y_min-2:y_max+2) :: xarea
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+3) :: yarea
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: volume
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: density0,energy0
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: pressure
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: density1,energy1
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: viscosity
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+3,y_min-2:y_max+3) :: xvel0,yvel0
REAL(KIND=8), intent(in), DIMENSION(x_min-2:x_max+3,y_min-2:y_max+3) :: xvel1,yvel1
REAL(KIND=8), DIMENSION(x_min-2:x_max+3,y_min-2:y_max+3) :: volume_change
INTEGER :: j,k
REAL(KIND=8) :: recip_volume,energy_change,min_cell_volume
REAL(KIND=8) :: right_flux,left_flux,top_flux,bottom_flux,total_flux
real(kind=8) :: volume_jk, density0_jk
j = (blockIdx%x-1)*blockDim%x + threadIdx%x + x_min-1
k = (blockIdx%y-1)*blockDim%y + threadIdx%y + y_min-1
if ( j <= x_max .and. k <= y_max) then
volume_jk = volume(j,k)
density0_jk = density0(j,k)
left_flux= (xarea(j ,k )*(xvel0(j ,k )+xvel0(j ,k+1) &
+xvel1(j ,k )+xvel1(j ,k+1)))*0.25_8*dt
right_flux= (xarea(j+1,k )*(xvel0(j+1,k )+xvel0(j+1,k+1) &
+xvel1(j+1,k )+xvel1(j+1,k+1)))*0.25_8*dt
bottom_flux=(yarea(j ,k )*(yvel0(j ,k )+yvel0(j+1,k ) &
+yvel1(j ,k )+yvel1(j+1,k )))*0.25_8*dt
top_flux= (yarea(j ,k+1)*(yvel0(j ,k+1)+yvel0(j+1,k+1) &
+yvel1(j ,k+1)+yvel1(j+1,k+1)))*0.25_8*dt
total_flux=right_flux-left_flux+top_flux-bottom_flux
volume_change(j,k)=volume_jk/(volume_jk+total_flux)
min_cell_volume=MIN(volume_jk+right_flux-left_flux+top_flux-bottom_flux &
,volume_jk+right_flux-left_flux,volume_jk+top_flux-bottom_flux)
recip_volume=1.0/volume_jk
energy_change=(pressure(j,k)/density0_jk+viscosity(j,k)/density0_jk)*total_flux*recip_volume
energy1(j,k)=energy0(j,k)-energy_change
density1(j,k)=density0_jk*volume_change(j,k)
ENDIF
END SUBROUTINE PdV_kernel_1c
SUBROUTINE PdV_kernel(predict, &
x_min,x_max,y_min,y_max,dt, &
xarea,yarea,volume, &
density0, &
density1, &
energy0, &
energy1, &
pressure, &
viscosity, &
xvel0, &
xvel1, &
yvel0, &
yvel1, &
volume_change )
IMPLICIT NONE
LOGICAL :: predict
INTEGER :: x_min,x_max,y_min,y_max
REAL(KIND=8) :: dt
REAL(KIND=8), DIMENSION(x_min-2:x_max+3,y_min-2:y_max+2) :: xarea
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+3) :: yarea
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: volume
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: density0,energy0
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: pressure
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: density1,energy1
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: viscosity
REAL(KIND=8), DIMENSION(x_min-2:x_max+3,y_min-2:y_max+3) :: xvel0,yvel0
REAL(KIND=8), DIMENSION(x_min-2:x_max+3,y_min-2:y_max+3) :: xvel1,yvel1
REAL(KIND=8), DIMENSION(x_min-2:x_max+3,y_min-2:y_max+3) :: volume_change
INTEGER :: j,k
REAL(KIND=8) :: recip_volume,energy_change,min_cell_volume
REAL(KIND=8) :: right_flux,left_flux,top_flux,bottom_flux,total_flux
IF(predict)THEN
DO k=y_min,y_max
DO j=x_min,x_max
left_flux= (xarea(j ,k )*(xvel0(j ,k )+xvel0(j ,k+1) &
+xvel0(j ,k )+xvel0(j ,k+1)))*0.25_8*dt*0.5
right_flux= (xarea(j+1,k )*(xvel0(j+1,k )+xvel0(j+1,k+1) &
+xvel0(j+1,k )+xvel0(j+1,k+1)))*0.25_8*dt*0.5
bottom_flux=(yarea(j ,k )*(yvel0(j ,k )+yvel0(j+1,k ) &
+yvel0(j ,k )+yvel0(j+1,k )))*0.25_8*dt*0.5
top_flux= (yarea(j ,k+1)*(yvel0(j ,k+1)+yvel0(j+1,k+1) &
+yvel0(j ,k+1)+yvel0(j+1,k+1)))*0.25_8*dt*0.5
total_flux=right_flux-left_flux+top_flux-bottom_flux
volume_change(j,k)=volume(j,k)/(volume(j,k)+total_flux)
min_cell_volume=MIN(volume(j,k)+right_flux-left_flux+top_flux-bottom_flux &
,volume(j,k)+right_flux-left_flux &
,volume(j,k)+top_flux-bottom_flux)
recip_volume=1.0/volume(j,k)
energy_change=(pressure(j,k)/density0(j,k)+viscosity(j,k)/density0(j,k))*total_flux*recip_volume
energy1(j,k)=energy0(j,k)-energy_change
density1(j,k)=density0(j,k)*volume_change(j,k)
ENDDO
ENDDO
ELSE
DO k=y_min,y_max
DO j=x_min,x_max
left_flux= (xarea(j ,k )*(xvel0(j ,k )+xvel0(j ,k+1) &
+xvel1(j ,k )+xvel1(j ,k+1)))*0.25_8*dt
right_flux= (xarea(j+1,k )*(xvel0(j+1,k )+xvel0(j+1,k+1) &
+xvel1(j+1,k )+xvel1(j+1,k+1)))*0.25_8*dt
bottom_flux=(yarea(j ,k )*(yvel0(j ,k )+yvel0(j+1,k ) &
+yvel1(j ,k )+yvel1(j+1,k )))*0.25_8*dt
top_flux= (yarea(j ,k+1)*(yvel0(j ,k+1)+yvel0(j+1,k+1) &
+yvel1(j ,k+1)+yvel1(j+1,k+1)))*0.25_8*dt
total_flux=right_flux-left_flux+top_flux-bottom_flux
volume_change(j,k)=volume(j,k)/(volume(j,k)+total_flux)
min_cell_volume=MIN(volume(j,k)+right_flux-left_flux+top_flux-bottom_flux &
,volume(j,k)+right_flux-left_flux &
,volume(j,k)+top_flux-bottom_flux)
recip_volume=1.0/volume(j,k)
energy_change=(pressure(j,k)/density0(j,k)+viscosity(j,k)/density0(j,k))*total_flux*recip_volume
energy1(j,k)=energy0(j,k)-energy_change
density1(j,k)=density0(j,k)*volume_change(j,k)
ENDDO
ENDDO
ENDIF
END SUBROUTINE PdV_kernel
END MODULE PdV_kernel_module