1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
|
! 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
module burgers_assembly
use fields
use sparse_tools
use spud
use transform_elements
use fetools
implicit none
private
public :: assemble_advection_matrix
contains
subroutine assemble_advection_matrix(advection_matrix, x, u_left, u_right)
type(csr_matrix), intent(inout) :: advection_matrix
type(vector_field), intent(in) :: x
type(scalar_field), intent(in), target :: u_left, u_right
type(scalar_field) :: nu
type(mesh_type), pointer :: mesh
integer :: ele
real :: itheta
call get_option(trim(u_left%option_path) // "/prognostic/temporal_discretisation/relaxation", itheta, default=0.5)
mesh => u_left%mesh
call allocate(nu, mesh, "NonlinearVelocity")
call set(nu, u_left)
call scale(nu, (1.0 - itheta))
call addto(nu, u_right, scale=itheta)
nu%option_path = u_left%option_path
call zero(advection_matrix)
if (.not. have_option(trim(nu%option_path) // "/prognostic/remove_advection_term")) then
do ele=1,ele_count(nu)
call assemble_advection_matrix_ele(advection_matrix, x, nu, ele)
end do
end if
call deallocate(nu)
end subroutine assemble_advection_matrix
subroutine assemble_advection_matrix_ele(advection_matrix, x, nu, ele)
type(csr_matrix), intent(inout) :: advection_matrix
type(vector_field), intent(in) :: x
type(scalar_field), intent(in) :: nu
integer, intent(in) :: ele
real, dimension(ele_loc(nu, ele), ele_loc(nu, ele)) :: little_advection_matrix
real, dimension(ele_ngi(nu, ele)) :: detwei
real, dimension(ele_loc(nu, ele), ele_ngi(nu, ele), x%dim) :: du_t
call transform_to_physical(x, ele, ele_shape(nu, ele), detwei=detwei, dshape=du_t)
little_advection_matrix = shape_vector_dot_dshape(ele_shape(nu, ele), ele_val_at_quad(nu, ele), du_t, detwei)
call addto(advection_matrix, ele_nodes(nu, ele), ele_nodes(nu, ele), little_advection_matrix)
end subroutine assemble_advection_matrix_ele
end module burgers_assembly
|