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tea_leaf_cg.f90
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tea_leaf_cg.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 Michael Boulton, Wayne Gaudin
!> @details Implicitly calculates the change in temperature using CG method
MODULE tea_leaf_kernel_cg_module
IMPLICIT NONE
CONTAINS
SUBROUTINE tea_leaf_kernel_init_cg_fortran(x_min, &
x_max, &
y_min, &
y_max, &
density, &
energy, &
u, &
p, &
r, &
Mi, &
w, &
z, &
Kx, &
Ky, &
rx, &
ry, &
rro, &
coef, &
preconditioner_on)
IMPLICIT NONE
LOGICAL :: preconditioner_on
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) :: 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) :: u
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: p
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: r
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: Mi
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: w
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: z
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
INTEGER(KIND=4) :: coef
INTEGER(KIND=4) :: j,k,n
REAL(kind=8) :: rro
REAL(KIND=8) :: rx, ry
INTEGER :: CONDUCTIVITY = 1 &
,RECIP_CONDUCTIVITY = 2
rro = 0.0_8
p = 0.0_8
r = 0.0_8
!$OMP PARALLEL
!$OMP DO
DO k=y_min-2, y_max+2
DO j=x_min-2, x_max+2
u(j,k) = energy(j,k)*density(j,k)
ENDDO
ENDDO
!$OMP END DO
IF(coef .EQ. RECIP_CONDUCTIVITY) THEN
!$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
!$OMP END DO
!$OMP DO
DO k=y_min,y_max
DO j=x_min,x_max
w(j, k) = (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) = u(j, k) - w(j, k)
!r(j, k) = u(j, k)! This is required to make a zero initial guess to match petsc errant behaviour
! Only works one timestep is run
ENDDO
ENDDO
!$OMP END DO
IF (preconditioner_on) then
!$OMP DO REDUCTION(+:rro)
DO k=y_min,y_max
DO j=x_min,x_max
! inverse diagonal used as preconditioner
Mi(j, k) = (1.0_8 &
+ ry*(Ky(j, k+1) + Ky(j, k)) &
+ rx*(Kx(j+1, k) + Kx(j, k)))
Mi(j, k) = 1.0_8/Mi(j, k)
z(j, k) = Mi(j, k)*r(j, k)
p(j, k) = z(j, k)
rro = rro + r(j, k)*p(j, k);
ENDDO
ENDDO
!$OMP END DO
ELSE
!$OMP DO REDUCTION(+:rro)
DO k=y_min,y_max
DO j=x_min,x_max
p(j, k) = r(j, k)
rro = rro + r(j, k)*p(j, k);
ENDDO
ENDDO
!$OMP END DO
ENDIF
!$OMP END PARALLEL
END SUBROUTINE tea_leaf_kernel_init_cg_fortran
SUBROUTINE tea_leaf_kernel_solve_cg_fortran_calc_w(x_min, &
x_max, &
y_min, &
y_max, &
p, &
w, &
Kx, &
Ky, &
rx, &
ry, &
pw )
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) :: p
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: w
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) :: rx, ry
INTEGER(KIND=4) :: j,k,n
REAL(kind=8) :: pw
pw = 0.0_08
!$OMP PARALLEL
!$OMP DO REDUCTION(+:pw)
DO k=y_min,y_max
DO j=x_min,x_max
w(j, k) = (1.0_8 &
+ ry*(Ky(j, k+1) + Ky(j, k)) &
+ rx*(Kx(j+1, k) + Kx(j, k)))*p(j, k) &
- ry*(Ky(j, k+1)*p(j, k+1) + Ky(j, k)*p(j, k-1)) &
- rx*(Kx(j+1, k)*p(j+1, k) + Kx(j, k)*p(j-1, k))
pw = pw + w(j, k)*p(j, k)
ENDDO
ENDDO
!$OMP END DO
!$OMP END PARALLEL
END SUBROUTINE tea_leaf_kernel_solve_cg_fortran_calc_w
SUBROUTINE tea_leaf_kernel_solve_cg_fortran_calc_ur(x_min, &
x_max, &
y_min, &
y_max, &
u, &
p, &
r, &
Mi, &
w, &
z, &
alpha, &
rrn, &
preconditioner_on)
IMPLICIT NONE
LOGICAL :: preconditioner_on
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) :: p
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: r
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: Mi
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: w
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: z
INTEGER(KIND=4) :: j,k,n
REAL(kind=8) :: alpha, rrn
rrn = 0.0_08
!$OMP PARALLEL
IF (preconditioner_on) THEN
!$OMP DO REDUCTION(+:rrn)
DO k=y_min,y_max
DO j=x_min,x_max
u(j, k) = u(j, k) + alpha*p(j, k)
r(j, k) = r(j, k) - alpha*w(j, k)
z(j, k) = Mi(j, k)*r(j, k)
rrn = rrn + r(j, k)*z(j, k)
ENDDO
ENDDO
!$OMP END DO
ELSE
!$OMP DO REDUCTION(+:rrn)
DO k=y_min,y_max
DO j=x_min,x_max
u(j, k) = u(j, k) + alpha*p(j, k)
r(j, k) = r(j, k) - alpha*w(j, k)
rrn = rrn + r(j, k)*r(j, k)
ENDDO
ENDDO
!$OMP END DO
ENDIF
!$OMP END PARALLEL
END SUBROUTINE tea_leaf_kernel_solve_cg_fortran_calc_ur
SUBROUTINE tea_leaf_kernel_solve_cg_fortran_calc_p(x_min, &
x_max, &
y_min, &
y_max, &
p, &
r, &
z, &
beta, &
preconditioner_on)
IMPLICIT NONE
LOGICAL :: preconditioner_on
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) :: p
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: r
REAL(KIND=8), DIMENSION(x_min-2:x_max+2,y_min-2:y_max+2) :: z
REAL(kind=8) :: error
INTEGER(KIND=4) :: j,k,n
REAL(kind=8) :: beta
!$OMP PARALLEL
IF (preconditioner_on) THEN
!$OMP DO
DO k=y_min,y_max
DO j=x_min,x_max
p(j, k) = z(j, k) + beta*p(j, k)
ENDDO
ENDDO
!$OMP END DO
ELSE
!$OMP DO
DO k=y_min,y_max
DO j=x_min,x_max
p(j, k) = r(j, k) + beta*p(j, k)
ENDDO
ENDDO
!$OMP END DO
ENDIF
!$OMP END PARALLEL
END SUBROUTINE tea_leaf_kernel_solve_cg_fortran_calc_p
END MODULE