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!=== COPYRIGHT AND LICENSE STATEMENT ===
!
! This file is part of the TensorProductMultigrid code.
!
! (c) The copyright relating to this work is owned jointly by the
! Crown, Met Office and NERC [2014]. However, it has been created
! with the help of the GungHo Consortium, whose members are identified
! at https://puma.nerc.ac.uk/trac/GungHo/wiki .
!
! Main Developer: Eike Mueller
!
! TensorProductMultigrid is free software: you can redistribute it and/or
! modify it under the terms of the GNU Lesser General Public License as
! published by the Free Software Foundation, either version 3 of the
! License, or (at your option) any later version.
!
! TensorProductMultigrid 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 Lesser General Public License for more details.
!
! You should have received a copy of the GNU Lesser General Public License
! along with TensorProductMultigrid (see files COPYING and COPYING.LESSER).
! If not, see <http://www.gnu.org/licenses/>.
!
!=== COPYRIGHT AND LICENSE STATEMENT ===
!==================================================================
!
! Analytical forms of RHS vectors
!
! Eike Mueller, University of Bath, Feb 2012
!
!==================================================================
module profiles
use communication
use parameters
use datatypes
use discretisation
implicit none
public::initialise_u_mnh
public::get_u_mnh
public::initialise_rhs_mnh
public::initialise_rhs
public::analytical_solution
private
contains
!==================================================================
! Initialise U vector
!==================================================================
subroutine initialise_u_mnh(grid_param,model_param,u,KIB,KIE,KIU,KJB,KJE,KJU,KKU,PU)
implicit none
type(grid_parameters), intent(in) :: grid_param
type(model_parameters), intent(in) :: model_param
type(scalar3d), intent(inout) :: u
integer :: ix, iy, iz, ix_min, ix_max, iy_min, iy_max, nz
real(kind=rl) :: x, y, z
real(kind=rl) :: rho, sigma, theta, phi, r, b_low, b_up, pi
integer , optional, intent(in) :: KIB,KIE,KIU,KJB,KJE,KJU,KKU
real(kind=rl) , optional, intent(in) :: PU(:,:,:)
real , dimension(:,:,:) , pointer , contiguous :: zu_st
ix_min = u%ix_min
ix_max = u%ix_max
iy_min = u%iy_min
iy_max = u%iy_max
nz = u%grid_param%nz
IF (.NOT. PRESENT(KIB) ) THEN
! Initialise RHS
if (LUseO) then
do ix=ix_min, ix_max
do iy=iy_min, iy_max
do iz=1,nz
u%s(iz,iy-iy_min+1,ix-ix_min+1) = 0.0_rl
end do
end do
end do
end if
if (LUseT) then
zu_st => u%st
WAUTELET Philippe
committed
!$acc kernels
!$acc loop independent collapse(3)
do iz=1,nz
do iy=iy_min, iy_max
do ix=ix_min, ix_max
zu_st(ix-ix_min+1,iy-iy_min+1,iz) = 0.0_rl
end do
end do
end do
!$acc end kernels
end if
ELSE
! Initialise RHS
Juan Escobar
committed
if (LUseO) then
do ix=ix_min, ix_max
do iy=iy_min, iy_max
do iz=1,nz
Juan Escobar
committed
u%s(iz,iy-iy_min+1,ix-ix_min+1) = PU(IX-ix_min+KIB,IY-iy_min+KJB,IZ)
end do
end do
end do
end if
if (LUseT) then
WAUTELET Philippe
committed
!$acc kernels
!$acc loop independent collapse(3)
do iz=1,nz
Juan Escobar
committed
do iy=iy_min, iy_max
do ix=ix_min, ix_max
zu_st(ix-ix_min+1,iy-iy_min+1,iz) = PU(IX-ix_min+KIB,IY-iy_min+KJB,IZ)
Juan Escobar
committed
end do
end do
end do
!$acc end kernels
Juan Escobar
committed
end if
END IF
end subroutine initialise_u_mnh
!==================================================================
! Get U vector
!==================================================================
subroutine get_u_mnh(grid_param,model_param,u,KIB,KIE,KIU,KJB,KJE,KJU,KKU,PU)
implicit none
type(grid_parameters), intent(in) :: grid_param
type(model_parameters), intent(in) :: model_param
type(scalar3d), intent(inout) :: u
integer :: ix, iy, iz, ix_min, ix_max, iy_min, iy_max, nz
real(kind=rl) :: x, y, z
real(kind=rl) :: rho, sigma, theta, phi, r, b_low, b_up, pi
integer , optional, intent(in) :: KIB,KIE,KIU,KJB,KJE,KJU,KKU
real(kind=rl) , optional, intent(inout) :: PU(:,:,:)
ESCOBAR MUNOZ Juan
committed
real , dimension(:,:,:) , pointer , contiguous :: zu_st
ix_min = u%ix_min
ix_max = u%ix_max
iy_min = u%iy_min
iy_max = u%iy_max
nz = u%grid_param%nz
IF (.NOT. PRESENT(KIB) ) THEN
Juan Escobar
committed
!
ELSE
Juan Escobar
committed
! Get PU
if (LUseO) then
do ix=ix_min, ix_max
do iy=iy_min, iy_max
do iz=1,nz
Juan Escobar
committed
PU(IX-ix_min+KIB,IY-iy_min+KJB,IZ) = u%s(iz,iy-iy_min+1,ix-ix_min+1)
end do
end do
end do
else
ESCOBAR MUNOZ Juan
committed
zu_st => u%st
WAUTELET Philippe
committed
!$acc kernels
!$acc loop independent collapse(3)
do iz=1,nz
Juan Escobar
committed
do iy=iy_min, iy_max
do ix=ix_min, ix_max
ESCOBAR MUNOZ Juan
committed
PU(IX-ix_min+KIB,IY-iy_min+KJB,IZ) = zu_st(ix-ix_min+1,iy-iy_min+1,iz)
Juan Escobar
committed
end do
end do
end do
ESCOBAR MUNOZ Juan
committed
!$acc end kernels
Juan Escobar
committed
end if
END IF
end subroutine get_u_mnh
!==================================================================
! Initialise RHS vector
!==================================================================
subroutine initialise_rhs_mnh(grid_param,model_param,b,KIB,KIE,KIU,KJB,KJE,KJU,KKU,PY)
implicit none
type(grid_parameters), intent(in) :: grid_param
type(model_parameters), intent(in) :: model_param
type(scalar3d), intent(inout) :: b
integer :: ix, iy, iz, ix_min, ix_max, iy_min, iy_max, nz, n
real(kind=rl) :: x, y, z
real(kind=rl) :: rho, sigma, theta, phi, r, b_low, b_up, pi
integer , optional, intent(in) :: KIB,KIE,KIU,KJB,KJE,KJU,KKU
real(kind=rl) , optional, intent(in) :: PY(:,:,:)
real , dimension(:,:,:) , pointer , contiguous :: zb_st
ix_min = b%ix_min
ix_max = b%ix_max
iy_min = b%iy_min
iy_max = b%iy_max
nz = b%grid_param%nz
n = b%grid_param%n
!
IF (.NOT. PRESENT(KIB) ) THEN
! Initialise RHS
if (LUseO) then
do ix=ix_min, ix_max
do iy=iy_min, iy_max
do iz=1,nz
x = 1.0_rl*((ix-0.5_rl)/(1.0_rl*n))
y = 1.0_rl*((iy-0.5_rl)/(1.0_rl*n))
z = 1.0_rl*((iz-0.5_rl)/(1.0_rl*nz))
b%s(iz,iy-iy_min+1,ix-ix_min+1) = 0.0_rl
if ( ( x .ge. 0.1_rl ) .and. ( x .le. 0.4_rl ) &
.and. (y .ge. 0.3_rl ) .and. ( y .le. 0.6_rl ) &
.and. (z .ge. 0.2_rl ) .and. ( z .le. 0.7_rl ) ) &
then
b%s(iz,iy-iy_min+1,ix-ix_min+1) = 1.0_rl
end if
end do
end do
end do
endif
if (LUseT) then
zb_st => b%st
WAUTELET Philippe
committed
!$acc kernels
!$acc loop independent collapse(3)
do iz=1,nz
do iy=iy_min, iy_max
do ix=ix_min, ix_max
x = 1.0_rl*((ix-0.5_rl)/(1.0_rl*n))
y = 1.0_rl*((iy-0.5_rl)/(1.0_rl*n))
z = 1.0_rl*((iz-0.5_rl)/(1.0_rl*nz))
zb_st(ix-ix_min+1,iy-iy_min+1,iz) = 0.0_rl
if ( ( x .ge. 0.1_rl ) .and. ( x .le. 0.4_rl ) &
.and. (y .ge. 0.3_rl ) .and. ( y .le. 0.6_rl ) &
.and. (z .ge. 0.2_rl ) .and. ( z .le. 0.7_rl ) ) &
then
zb_st(ix-ix_min+1,iy-iy_min+1,iz) = 1.0_rl
end if
end do
end do
end do
!$acc end kernels
end if
ELSE
! Initialise RHS
if (LUseO) then
do ix=ix_min, ix_max
do iy=iy_min, iy_max
do iz=1,nz
b%s(iz,iy-iy_min+1,ix-ix_min+1) = PY(IX-ix_min+KIB,IY-iy_min+KJB,IZ)
end do
end do
end do
end if
if (LUseT) then
zb_st => b%st
WAUTELET Philippe
committed
!$acc kernels
!$acc loop independent collapse(3)
do iz=1,nz
do iy=iy_min, iy_max
do ix=ix_min, ix_max
zb_st(ix-ix_min+1,iy-iy_min+1,iz) = PY(IX-ix_min+KIB,IY-iy_min+KJB,IZ)
end do
end do
end do
!$acc end kernels
end if
END IF
end subroutine initialise_rhs_mnh
!==================================================================
! Initialise RHS vector
!==================================================================
subroutine initialise_rhs(grid_param,model_param,b)
implicit none
type(grid_parameters), intent(in) :: grid_param
type(model_parameters), intent(in) :: model_param
type(scalar3d), intent(inout) :: b
integer :: ix, iy, iz, ix_min, ix_max, iy_min, iy_max, nz, n
real(kind=rl) :: x, y, z
real(kind=rl) :: rho, sigma, theta, phi, r, b_low, b_up, pi
#ifdef TESTCONVERGENCE
real(kind=rl) :: px,py,pz
#endif
ix_min = b%ix_min
ix_max = b%ix_max
iy_min = b%iy_min
iy_max = b%iy_max
nz = b%grid_param%nz
n = b%grid_param%n
b_low = 1.0_rl+0.25*b%grid_param%H
b_up = 1.0_rl+0.75*b%grid_param%H
pi = 4.0_rl*atan2(1.0_rl,1.0_rl)
! Initialise RHS
do ix=ix_min, ix_max
do iy=iy_min, iy_max
do iz=1,nz
x = 1.0_rl*((ix-0.5_rl)/(1.0_rl*n))
y = 1.0_rl*((iy-0.5_rl)/(1.0_rl*n))
z = 1.0_rl*((iz-0.5_rl)/(1.0_rl*nz))
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#ifdef TESTCONVERGENCE
! RHS for analytical solution x*(1-x)*y*(1-y)*z*(1-z)
if (grid_param%vertbc == VERTBC_DIRICHLET) then
px = x*(1.0_rl-x)
py = y*(1.0_rl-y)
pz = z*(1.0_rl-z)
b%s(iz,iy-iy_min+1,ix-ix_min+1) = &
( 2.0_rl*model_param%omega2*((px+py)*pz &
+ model_param%lambda2*px*py)+model_param%delta*px*py*pz)
else
px = x*(1.0_rl-x)
py = y*(1.0_rl-y)
pz = 1.0_rl
b%s(iz,iy-iy_min+1,ix-ix_min+1) = &
( 2.0_rl*model_param%omega2*((px+py)*pz)+model_param%delta*px*py*pz)
end if
#else
b%s(iz,iy-iy_min+1,ix-ix_min+1) = 0.0_rl
#ifdef CARTESIANGEOMETRY
if ( ( x .ge. 0.1_rl ) .and. ( x .le. 0.4_rl ) &
.and. (y .ge. 0.3_rl ) .and. ( y .le. 0.6_rl ) &
.and. (z .ge. 0.2_rl ) .and. ( z .le. 0.7_rl ) ) &
then
b%s(iz,iy-iy_min+1,ix-ix_min+1) = 1.0_rl
end if
#else
rho = 2.0_rl*(1.0_rl*ix-0.5_rl)/grid_param%n-1.0_rl
sigma = 2.0_rl*(1.0_rl*iy-0.5_rl)/grid_param%n-1.0_rl
phi = atan(sigma)
theta = atan(rho/sqrt(1.0_rl+sigma**2))
x = sin(theta)
y = cos(theta)*sin(phi)
z = cos(theta)*cos(phi)
phi = atan2(x,y)
theta = atan2(sqrt(x**2+y**2),z)
r = 0.5_rl*(r_grid(iz)+r_grid(iz+1))
if (( (r > b_low) .and. (r < b_up) ) .and. &
(((theta>pi/10.0_rl) .and. (theta<pi/5.0_rl )) .or. &
((theta>3.0_rl*pi/8.0_rl) .and. (theta<5.0_rl*pi/8.0_rl )) .or. &
((theta>4.0_rl*pi/5.0_rl) .and. (theta<9.0_rl*pi/10.0_rl)))) then
b%s(iz,iy-iy_min+1,ix-ix_min+1) = 1.0_rl
end if
! RHS used in GPU code:
! if ( (r > b_low) .and. (r < b_up) .and. &
! (rho > -0.5) .and. (rho < 0.5) .and. &
! (sigma > -0.5).and. (sigma < 0.5) ) then
! b%s(iz,iy-iy_min+1,ix-ix_min+1) = 1.0_rl
! end if
#endif
#endif
end do
end do
end do
end subroutine initialise_rhs
!==================================================================
! Exact solution for test problem
! u(x,y,z) = x*(1-x)*y*(1-y)*z*(1-z)
!==================================================================
subroutine analytical_solution(grid_param,u)
implicit none
type(grid_parameters), intent(in) :: grid_param
type(scalar3d), intent(inout) :: u
integer :: ix, iy, iz, ix_min, ix_max, iy_min, iy_max, nz, n
real(kind=rl) :: x, y, z
ix_min = u%ix_min
ix_max = u%ix_max
iy_min = u%iy_min
iy_max = u%iy_max
nz = u%grid_param%nz
n = u%grid_param%n
! Initialise RHS
do ix=ix_min, ix_max
do iy=iy_min, iy_max
do iz=1,nz
x = u%grid_param%L*((ix-0.5_rl)/(1.0_rl*n))
y = u%grid_param%L*((iy-0.5_rl)/(1.0_rl*n))
z = u%grid_param%H*((iz-0.5_rl)/(1.0_rl*nz))
if (grid_param%vertbc == VERTBC_DIRICHLET) then
u%s(iz,iy-iy_min+1,ix-ix_min+1) &
= x*(1.0_rl-x) &
* y*(1.0_rl-y) &
* z*(1.0_rl-z)
else
u%s(iz,iy-iy_min+1,ix-ix_min+1) &
= x*(1.0_rl-x) &
* y*(1.0_rl-y)
end if
end do
end do
end do
end subroutine analytical_solution
end module profiles