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! Copyright (C) 2006 Imperial College London and others.
!
! Please see the AUTHORS file in the main source directory for a full list
! of copyright holders.
!
! Prof. C Pain
! Applied Modelling and Computation Group
! Department of Earth Science and Engineering
! Imperial College London
!
! amcgsoftware@imperial.ac.uk
!
! This library 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,
! version 2.1 of the License.
!
! This library 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 this library; if not, write to the Free Software
! Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
! USA
#include "fdebug.h"
module assemble_CMC
use fldebug
use state_module
use sparse_tools
use sparse_tools_petsc
use spud
use fields
use fields_base
use fefields
use sparse_matrices_fields
use field_options
use global_parameters, only: OPTION_PATH_LEN
use linked_lists
implicit none
private
public :: assemble_cmc_dg, assemble_masslumped_cmc, &
assemble_masslumped_ctm, repair_stiff_nodes, zero_stiff_nodes, &
assemble_diagonal_schur, assemble_scaled_pressure_mass_matrix
contains
subroutine assemble_cmc_dg(CMC, CTP, CT, inverse_mass)
!!< Assemble the pressure matrix C^T M^{-1} C for a DG mesh.
!!< This currently does not support rotations.
type(csr_matrix), intent(inout) :: CMC
type(block_csr_matrix), intent(in) :: CTP, CT
type(block_csr_matrix), intent(in):: inverse_mass
type(csr_matrix) :: CM ! Temporary half way matrix
type(csr_matrix) :: CMC_tmp ! Temporary accumulator.
type(csr_matrix) :: CT_block ! The current CT dimension
type(csr_matrix) :: CTP_block ! The current CTP dimension
integer :: dim, dim2
call zero(CMC)
if(inverse_mass%diagonal) then
do dim=1, blocks(CT,2)
! This is a borrowed reference so no need to deallocate.
CT_block=block(CT, 1, dim)
CTP_block=block(CTP, 1, dim)
CM=matmul_T(CTP_block, block(inverse_mass,dim,dim), CT%sparsity)
CMC_tmp=matmul_T(CM, CT_block, model=CMC%sparsity)
call addto(CMC, CMC_tmp)
call deallocate(CM)
call deallocate(CMC_tmp)
end do
else
do dim=1, blocks(CT,2)
do dim2 = 1, blocks(CT,2)
! This is a borrowed reference so no need to deallocate.
CT_block=block(CT, 1, dim)
CTP_block=block(CTP, 1, dim2)
CM=matmul_T(CTP_block, block(inverse_mass,dim2,dim), CT%sparsity)
CMC_tmp=matmul_T(CM, CT_block, model=CMC%sparsity)
call addto(CMC, CMC_tmp)
call deallocate(CM)
call deallocate(CMC_tmp)
end do
end do
end if
ewrite_minmax(cmc)
end subroutine assemble_cmc_dg
subroutine assemble_masslumped_cmc(cmc_m, ctp_m, inverse_masslump, ct_m)
!!< Assemble the pressure matrix C_P^T M_l^{-1} C.
!!< This currently does not support rotations.
! this subroutine is designed to start to replace cmc_wrapper and getcmc
type(csr_matrix), intent(inout) :: cmc_m
type(block_csr_matrix), intent(in) :: ctp_m, ct_m
type(vector_field), intent(in) :: inverse_masslump
ewrite(1,*) 'Entering assemble_masslumped_cmc'
call mult_div_vector_div_T(cmc_m, ctp_m, inverse_masslump, ct_m)
ewrite_minmax(cmc_m)
end subroutine assemble_masslumped_cmc
subroutine assemble_diagonal_schur(schur_diagonal_matrix,u,inner_m,ctp_m,ct_m)
!!< Assemble the matrix C_P^T * [(Big_m)_diagonal]^-1 * C.
!!< This is used as a preconditioner for the full projection solve
!!< when using the full momentum matrix.
! Fluidity velocity vector:
type(vector_field), intent(in):: u
! Divergence matrices:
type(block_csr_matrix), intent(in) :: ctp_m, ct_m
! Inner matrix of Schur complement:
type(petsc_csr_matrix), intent(inout) :: inner_m
! Product matrix:
type(csr_matrix), intent(inout):: schur_diagonal_matrix
! Diagonal of inner_m - required to set up preconditioner matrix for Stokes problems
! (i.e. DiagonalSchurComplement):
type(vector_field) :: inner_m_diagonal
integer :: i
ewrite(1,*) 'Entering assemble_diagonal_schur'
call zero(schur_diagonal_matrix)
call allocate(inner_m_diagonal,u%dim,u%mesh,"Diagonal_inner_m")
call zero(inner_m_diagonal)
call extract_diagonal(inner_m,inner_m_diagonal)
ewrite_minmax(inner_m_diagonal)
if(any(inner_m_diagonal%val < 0)) then
ewrite(-1,*) 'Inner_m_diagonal has negative values'
FLExit("Negative values in the diagonal schur complement preconditioner")
end if
call mult_div_invvector_div_T(schur_diagonal_matrix, ctp_m, inner_m_diagonal, ct_m)
ewrite_minmax(schur_diagonal_matrix)
call deallocate(inner_m_diagonal)
end subroutine assemble_diagonal_schur
subroutine assemble_scaled_pressure_mass_matrix(state,scaled_pressure_mass_matrix)
! This routine assembles the scaled_pressure_mass_matrix. It is scaled
! by the inverse of viscosity.
type(state_type), intent(in) :: state
! Scaled pressure mass matrix - already allocated in Momentum_Eq:
type(csr_matrix), intent(inout) :: scaled_pressure_mass_matrix
! Pressure field:
type(scalar_field), pointer :: pressure
! Viscosity tensor:
type(tensor_field), pointer :: viscosity
! Viscosity component:
type(scalar_field) :: viscosity_component
! Inverse of Viscosity component
type(scalar_field) :: inverse_viscosity_component
! Positions:
type(vector_field), pointer :: positions
ewrite(1,*) 'Entering assemble_scaled_pressure_mass_matrix'
! Positions:
positions => extract_vector_field(state, "Coordinate")
! Get the pressure field:
pressure=>extract_scalar_field(state, "Pressure")
! Extract viscosity tensor from state:
viscosity => extract_tensor_field(state,'Viscosity')
! Extract first component of viscosity tensor from full tensor:
viscosity_component = extract_scalar_field(viscosity,1,1)
! Allocate memory for inverse viscosity component scalar field:
call allocate(inverse_viscosity_component, viscosity_component%mesh, name="inverse_viscosity_component")
! Invert viscosity:
call invert(viscosity_component,inverse_viscosity_component)
! Compute pressure mass matrix, scaled by inverse viscosity - note that the
! inverse viscosity is supplied as density here:
call compute_mass(positions,pressure%mesh,scaled_pressure_mass_matrix,density=inverse_viscosity_component)
ewrite_minmax(scaled_pressure_mass_matrix)
! Deallocate inverse viscosity component scalar field:
call deallocate(inverse_viscosity_component)
end subroutine assemble_scaled_pressure_mass_matrix
subroutine repair_stiff_nodes(cmc_m, stiff_nodes_list)
type(csr_matrix), intent(inout) :: cmc_m
type(ilist), intent(inout) :: stiff_nodes_list
integer :: row
real, pointer :: row_diag
integer, dimension(:), pointer :: row_m
real, dimension(:), pointer :: row_val
real :: tolerance
ewrite(1,*) 'in repair_stiff_nodes()'
tolerance = maxval(cmc_m%val)*epsilon(0.0)
ewrite(2,*) 'tolerance = ', tolerance
call flush_list(stiff_nodes_list)
do row = 1, size(cmc_m, 1)
row_diag=>diag_val_ptr(cmc_m, row)
row_m=>row_m_ptr(cmc_m, row)
row_val=>row_val_ptr(cmc_m, row)
if(row_diag<tolerance) then
ewrite(2,*) 'before, row, row_diag, sum(row_val) = ', row, row_diag, sum(abs(row_val))
where(cmc_m%sparsity%colm==row) cmc_m%val = 0.0
call zero_row(cmc_m, row)
call addto_diag(cmc_m, row, 1.0)
call insert(stiff_nodes_list, row)
end if
end do
call print_list(stiff_nodes_list, 2)
end subroutine repair_stiff_nodes
subroutine zero_stiff_nodes(rhs, stiff_nodes_list)
type(scalar_field), intent(inout) :: rhs
type(ilist), intent(in) :: stiff_nodes_list
real, dimension(:), pointer :: row_val
ewrite(1,*) 'in zero_stiff_nodes()'
if(stiff_nodes_list%length>0) then
ewrite(2,*) 'before node_val = ', node_val(rhs, list2vector(stiff_nodes_list))
call set(rhs, list2vector(stiff_nodes_list), spread(0.0, 1, stiff_nodes_list%length))
end if
end subroutine zero_stiff_nodes
subroutine assemble_masslumped_ctm(ctm_m, ctp_m, masslump)
!!< Assemble the matrix C_P^T M_l^{-1}
!!< This currently does not support rotations.
type(block_csr_matrix), intent(in) :: ctp_m
type(scalar_field), intent(in) :: masslump
type(block_csr_matrix), intent(inout) :: ctm_m
type(csr_matrix) :: lctm_m_block
integer :: dim, row
real, dimension(:), pointer :: row_val
integer, dimension(:), pointer :: row_indices
ewrite(1,*) 'Entering assemble_masslumped_ctm'
call zero(ctm_m)
do dim = 1, ctm_m%blocks(2)
lctm_m_block = block(ctm_m, 1, dim)
do row = 1, size(ctp_m, 1)
row_indices=>row_m_ptr(ctp_m, row)
row_val=>row_val_ptr(ctp_m, 1, dim, row)
call set(lctm_m_block, (/row/), row_indices, &
spread((row_val/node_val(masslump, row_indices)), 1, 1))
end do
end do
ewrite_minmax(ctm_m)
end subroutine assemble_masslumped_ctm
end module assemble_cmc
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