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tea_leaf_jacobi.f90
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tea_leaf_jacobi.f90
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!cROWn Copyright 2014 AWE.
!
! This file is part of TeaLeaf.
!
! TeaLeaf 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.
!
! TeaLeaf 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
! TeaLeaf. If not, see http://www.gnu.org/licenses/.
!> @brief Fortran heat conduction kernel
!> @author David Beckingsale, Wayne Gaudin
!> @details Implicitly calculates the change in temperature using a Jacobi iteration
MODULE tea_leaf_kernel_module
CONTAINS
SUBROUTINE tea_leaf_kernel_init(x_min, &
x_max, &
y_min, &
y_max, &
zero_boundary, &
reflective_boundary, &
celldx, &
celldy, &
volume, &
density, &
energy, &
u0, &
u1, &
un, &
Kx_tmp, &
Ky_tmp, &
Kx, &
Ky, &
coef)
IMPLICIT NONE
INTEGER :: CONDUCTIVITY = 1 &
,RECIP_CONDUCTIVITY = 2
! These need to be kept consistent with the data module to avoid use statement
INTEGER,PARAMETER :: CHUNK_LEFT =1 &
,CHUNK_RIGHT =2 &
,CHUNK_BOTTOM =3 &
,CHUNK_TOP =4 &
,EXTERNAL_FACE=-1
INTEGER(KIND=4):: x_min,x_max,y_min,y_max
LOGICAL :: reflective_boundary
LOGICAL, DIMENSION(4) :: zero_boundary
REAL(KIND=8), DIMENSION(x_min-2:x_max+2) :: celldx
REAL(KIND=8), DIMENSION(y_min-2:y_max+2) :: celldy
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) :: density
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: energy
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: u0
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: u1
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: un
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: Kx_tmp
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: Ky_tmp
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: Kx
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: Ky
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: w
INTEGER(KIND=4) :: coef
INTEGER(KIND=4) :: j,k,n
! CALC DIFFUSION COEFFICIENT
!$OMP PARALLEL
IF(coef .EQ. RECIP_CONDUCTIVITY) THEN
!$OMP DO
! use w as temp val
DO k=y_min-1,y_max+1
DO j=x_min-1,x_max+1
w(j ,k )=1.0_8/density(j ,k )
ENDDO
ENDDO
!$OMP END DO
ELSE IF(coef .EQ. CONDUCTIVITY) THEN
!$OMP DO
DO k=y_min-1,y_max+1
DO j=x_min-1,x_max+1
w(j ,k )=density(j ,k )
ENDDO
ENDDO
!$OMP END DO
ENDIF
!$OMP DO
DO k=y_min,y_max+1
DO j=x_min,x_max+1
Kx(j,k)=(w(j-1,k ) + w(j,k))/(2.0_8*w(j-1,k )*w(j,k))
Ky(j,k)=(w(j ,k-1) + w(j,k))/(2.0_8*w(j ,k-1)*w(j,k))
ENDDO
ENDDO
!$OMP END DO
! Whether to apply reflective boundary conditions to all external faces
IF (reflective_boundary .EQV. .TRUE.) THEN
IF (zero_boundary(CHUNK_LEFT).EQV..TRUE.) THEN
!$OMP DO
DO k=y_min-2,y_max+2
DO j=x_min-2,x_min
Kx(j,k)=0.0_8
ENDDO
ENDDO
!$OMP END DO
ENDIF
IF (zero_boundary(CHUNK_RIGHT).EQV..TRUE.) THEN
!$OMP DO
DO k=y_min-2,y_max+2
DO j=x_max + 1,x_max+2
Kx(j,k)=0.0_8
ENDDO
ENDDO
!$OMP END DO
ENDIF
IF (zero_boundary(CHUNK_BOTTOM).EQV..TRUE.) THEN
!$OMP DO
DO k=y_min-2,y_min
DO j=x_min-2,x_max+2
Ky(j,k)=0.0_8
ENDDO
ENDDO
!$OMP END DO
ENDIF
IF (zero_boundary(CHUNK_TOP).EQV..TRUE.) THEN
!$OMP DO
DO k=y_max + 1,y_max+2
DO j=x_min-2,x_max+2
Ky(j,k)=0.0_8
ENDDO
ENDDO
!$OMP END DO
ENDIF
ENDIF
!$OMP DO
DO k=y_min-1, y_max+1
DO j=x_min-1, x_max+1
u0(j,k) = energy(j,k) * density(j,k)
ENDDO
ENDDO
!$OMP END DO
! INITIAL GUESS
!$OMP DO
DO k=y_min-1, y_max+1
DO j=x_min-1, x_max+1
u1(j,k) = u0(j,k)
ENDDO
ENDDO
!$OMP END DO
!$OMP END PARALLEL
END SUBROUTINE tea_leaf_kernel_init
SUBROUTINE tea_leaf_kernel_solve(x_min, &
x_max, &
y_min, &
y_max, &
rx, &
ry, &
Kx, &
Ky, &
error, &
u0, &
u1, &
un)
IMPLICIT NONE
INTEGER(KIND=4):: x_min,x_max,y_min,y_max
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: un
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: u1, u0
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: Kx
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: Ky
REAL(KIND=8) :: ry,rx, error
INTEGER(KIND=4) :: j,k
error = 0.0_8
!$OMP PARALLEL
!$OMP DO
DO k=y_min-1, y_max+1
DO j=x_min-1, x_max+1
un(j,k) = u1(j,k)
ENDDO
ENDDO
!$OMP END DO
!$OMP DO REDUCTION(+:error)
DO k=y_min, y_max
DO j=x_min, x_max
u1(j,k) = (u0(j,k) + rx*(Kx(j+1,k )*un(j+1,k ) + Kx(j ,k )*un(j-1,k )) &
+ ry*(Ky(j ,k+1)*un(j ,k+1) + Ky(j ,k )*un(j ,k-1))) &
/(1.0_8 &
+ rx*(Kx(j,k)+Kx(j+1,k)) &
+ ry*(Ky(j,k)+Ky(j,k+1)))
error = error + ABS(u1(j,k)-un(j,k))
ENDDO
ENDDO
!$OMP END DO
!$OMP END PARALLEL
END SUBROUTINE tea_leaf_kernel_solve
! Finalise routine is used by both implementations
SUBROUTINE tea_leaf_kernel_finalise(x_min, &
x_max, &
y_min, &
y_max, &
energy, &
density, &
u)
IMPLICIT NONE
INTEGER(KIND=4):: x_min,x_max,y_min,y_max
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: u
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: energy
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: density
INTEGER(KIND=4) :: j,k
!$OMP PARALLEL DO
DO k=y_min, y_max
DO j=x_min, x_max
energy(j,k) = u(j,k) / density(j,k)
ENDDO
ENDDO
!$OMP END PARALLEL DO
END SUBROUTINE tea_leaf_kernel_finalise
SUBROUTINE tea_leaf_calc_residual(x_min, &
x_max, &
y_min, &
y_max, &
u , &
u0, &
r, &
Kx, &
Ky, &
rx, ry )
IMPLICIT NONE
INTEGER(KIND=4):: x_min,x_max,y_min,y_max
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: u0, u, r
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: Kx
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: Ky
REAL(KIND=8) :: smvp, rx, ry
INTEGER(KIND=4) :: j,k
!$OMP PARALLEL
!$OMP DO private(smvp)
DO k=y_min, y_max
DO j=x_min, x_max
smvp = (1.0_8 &
+ ry*(Ky(j, k+1) + Ky(j, k)) &
+ rx*(Kx(j+1, k) + Kx(j, k)))*u(j, k) &
- ry*(Ky(j, k+1)*u(j, k+1) + Ky(j, k)*u(j, k-1)) &
- rx*(Kx(j+1, k)*u(j+1, k) + Kx(j, k)*u(j-1, k))
r(j, k) = u0(j, k) - smvp
ENDDO
ENDDO
!$OMP END DO
!$OMP END PARALLEL
END SUBROUTINE tea_leaf_calc_residual
END MODULE tea_leaf_kernel_module