Page Menu
Home
c4science
Search
Configure Global Search
Log In
Files
F86561954
pressure_equation.cpp
No One
Temporary
Actions
Download File
Edit File
Delete File
View Transforms
Subscribe
Mute Notifications
Award Token
Subscribers
None
File Metadata
Details
File Info
Storage
Attached
Created
Mon, Oct 7, 05:47
Size
11 KB
Mime Type
text/x-c
Expires
Wed, Oct 9, 05:47 (2 d)
Engine
blob
Format
Raw Data
Handle
21447270
Attached To
rSPECMICP SpecMiCP / ReactMiCP
pressure_equation.cpp
View Options
/*-------------------------------------------------------------------------------
Copyright (c) 2015 F. Georget <fabieng@princeton.edu>, Princeton University
All rights reserved.
Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:
1. Redistributions of source code must retain the above copyright notice, this
list of conditions and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright notice,
this list of conditions and the following disclaimer in the documentation and/or
other materials provided with the distribution.
3. Neither the name of the copyright holder nor the names of its contributors
may be used to endorse or promote products derived from this software without
specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-----------------------------------------------------------------------------*/
#include "pressure_equation.hpp"
#include "transport_constraints.hpp"
#include "../../../dfpm/meshes/mesh1d.hpp"
#include "../../../utils/compat.hpp"
#include "variables_box.hpp"
#include "../../../physics/constants.hpp"
#include <iostream>
namespace
specmicp
{
namespace
reactmicp
{
namespace
systems
{
namespace
unsaturated
{
struct
SPECMICP_DLL_LOCAL
PressureEquation
::
PressureEquationImpl
{
PressureVariableBox
m_vars
;
std
::
vector
<
index_t
>
m_ideq
;
mesh
::
Mesh1DPtr
m_mesh
;
scalar_t
m_scaling
{
1.0
};
mesh
::
Mesh1D
*
mesh
()
{
return
m_mesh
.
get
();}
PressureVariableBox
&
vars
()
{
return
m_vars
;}
bool
node_has_equation
(
index_t
node
)
{
return
m_ideq
[
node
]
!=
no_equation
;
}
index_t
id_equation
(
index_t
node
)
{
return
m_ideq
[
node
];
}
void
fix_node
(
index_t
node
)
{
m_ideq
[
node
]
=
no_equation
;
}
PressureEquationImpl
(
mesh
::
Mesh1DPtr
the_mesh
,
PressureVariableBox
&
the_vars
)
:
m_vars
(
the_vars
),
m_ideq
(
the_mesh
->
nb_nodes
(),
-
5
),
m_mesh
(
the_mesh
)
{}
void
compute_transport_rate
(
scalar_t
dt
,
const
Vector
&
displacement
);
};
PressureEquation
::
PressureEquation
(
mesh
::
Mesh1DPtr
the_mesh
,
PressureVariableBox
&
variables
,
const
TransportConstraints
&
constraints
)
:
m_tot_ndf
(
the_mesh
->
nb_nodes
()),
m_impl
(
make_unique
<
PressureEquationImpl
>
(
the_mesh
,
variables
))
{
number_equations
(
constraints
);
}
PressureEquation
::~
PressureEquation
()
=
default
;
void
PressureEquation
::
set_scaling
(
scalar_t
value
)
{
m_impl
->
m_scaling
=
value
;
}
index_t
PressureEquation
::
id_equation
(
index_t
id_dof
)
{
return
m_impl
->
id_equation
(
id_dof
);
}
//! \brief Compute the residuals inside 'element'
void
PressureEquation
::
residuals_element
(
index_t
element
,
const
Vector
&
displacement
,
const
Vector
&
velocity
,
Eigen
::
Vector2d
&
element_residual
,
bool
use_chemistry_rate
)
{
element_residual
.
setZero
();
mesh
::
Mesh1D
*
m_mesh
=
m_impl
->
mesh
();
PressureVariableBox
&
vars
=
m_impl
->
m_vars
;
const
scalar_t
&
rt
=
vars
.
constants
.
rt
;
const
scalar_t
mass_coeff_0
=
m_mesh
->
get_volume_cell_element
(
element
,
0
);
const
scalar_t
mass_coeff_1
=
m_mesh
->
get_volume_cell_element
(
element
,
1
);
const
index_t
node_0
=
m_mesh
->
get_node
(
element
,
0
);
const
index_t
node_1
=
m_mesh
->
get_node
(
element
,
1
);
// Diffusion Cw
const
scalar_t
coeff_diff_0
=
vars
.
resistance_gas_diffusivity
(
node_0
)
*
vars
.
relative_gas_diffusivity
(
node_0
);
const
scalar_t
coeff_diff_1
=
vars
.
resistance_gas_diffusivity
(
node_1
)
*
vars
.
relative_gas_diffusivity
(
node_1
);
//const scalar_t coeff_diff = vars.binary_diffusion_coefficient * 2.0 / (
// 1.0/coeff_diff_0 + 1.0/coeff_diff_1 );
const
scalar_t
coeff_diff
=
vars
.
binary_diffusion_coefficient
*
(
coeff_diff_0
+
coeff_diff_1
)
/
2
;
const
scalar_t
diff_flux
=
coeff_diff
*
(
displacement
(
node_1
)
-
displacement
(
node_0
))
/
m_mesh
->
get_dx
(
element
)
/
rt
;
// Tot flux
const
scalar_t
tot_flux
=
m_mesh
->
get_face_area
(
element
)
*
(
diff_flux
);
const
scalar_t
flux_0
=
tot_flux
;
const
scalar_t
flux_1
=
-
tot_flux
;
// transient
if
(
m_impl
->
node_has_equation
(
node_0
))
{
const
scalar_t
porosity_0
=
vars
.
porosity
(
node_0
);
const
scalar_t
pressure_0
=
displacement
(
node_0
);
const
scalar_t
saturation_0
=
1.0
-
vars
.
liquid_saturation
(
node_0
);
const
scalar_t
transient_0
=
mass_coeff_0
/
rt
*
(
porosity_0
*
saturation_0
*
velocity
(
node_0
)
+
saturation_0
*
pressure_0
*
vars
.
porosity
.
velocity
(
node_0
)
-
porosity_0
*
pressure_0
*
vars
.
liquid_saturation
.
velocity
(
node_0
)
);
auto
res
=
transient_0
-
flux_0
;
if
(
use_chemistry_rate
)
{
res
+=
mass_coeff_0
*
vars
.
partial_pressure
.
chemistry_rate
(
node_0
);
}
element_residual
(
0
)
=
res
/
m_impl
->
m_scaling
;
}
if
(
m_impl
->
node_has_equation
(
node_1
))
{
const
scalar_t
porosity_1
=
vars
.
porosity
(
node_1
);
const
scalar_t
pressure_1
=
displacement
(
node_1
);
const
scalar_t
saturation_1
=
1.0
-
vars
.
liquid_saturation
(
node_1
);
const
scalar_t
transient_1
=
mass_coeff_1
/
rt
*
(
porosity_1
*
saturation_1
*
velocity
(
node_1
)
+
saturation_1
*
pressure_1
*
vars
.
porosity
.
velocity
(
node_1
)
-
porosity_1
*
pressure_1
*
vars
.
liquid_saturation
.
velocity
(
node_1
)
);
auto
res
=
transient_1
-
flux_1
;
if
(
use_chemistry_rate
)
{
res
+=
mass_coeff_1
*
vars
.
partial_pressure
.
chemistry_rate
(
node_1
);
}
element_residual
(
1
)
=
res
/
m_impl
->
m_scaling
;
}
}
//! \brief Compute the residuals
void
PressureEquation
::
compute_residuals
(
const
Vector
&
displacement
,
const
Vector
&
velocity
,
Vector
&
residuals
,
bool
use_chemistry_rate
)
{
mesh
::
Mesh1D
*
m_mesh
=
m_impl
->
mesh
();
residuals
.
setZero
(
get_neq
());
Eigen
::
Vector2d
element_residual
;
for
(
index_t
element:
m_mesh
->
range_elements
())
{
residuals_element
(
element
,
displacement
,
velocity
,
element_residual
,
use_chemistry_rate
);
const
index_t
node_0
=
m_mesh
->
get_node
(
element
,
0
);
if
(
m_impl
->
node_has_equation
(
node_0
))
{
residuals
(
m_impl
->
id_equation
(
node_0
))
+=
element_residual
(
0
);
}
const
index_t
node_1
=
m_mesh
->
get_node
(
element
,
1
);
if
(
m_impl
->
node_has_equation
(
node_1
))
{
residuals
(
m_impl
->
id_equation
(
node_1
))
+=
element_residual
(
1
);
}
}
}
//! \brief Compute the jacobian
void
PressureEquation
::
compute_jacobian
(
Vector
&
displacement
,
Vector
&
velocity
,
Eigen
::
SparseMatrix
<
scalar_t
>&
jacobian
,
scalar_t
alphadt
)
{
mesh
::
Mesh1D
*
m_mesh
=
m_impl
->
mesh
();
dfpm
::
list_triplet_t
jacob
;
const
index_t
estimation
=
3
*
get_neq
();
jacob
.
reserve
(
estimation
);
// assume relative variables are set
for
(
index_t
element:
m_mesh
->
range_elements
())
{
Eigen
::
Vector2d
element_residual_orig
;
residuals_element
(
element
,
displacement
,
velocity
,
element_residual_orig
,
false
);
for
(
index_t
enodec
=
0
;
enodec
<
2
;
++
enodec
)
{
const
index_t
nodec
=
m_mesh
->
get_node
(
element
,
enodec
);
if
(
not
m_impl
->
node_has_equation
(
nodec
))
continue
;
const
scalar_t
tmp_d
=
displacement
(
nodec
);
const
scalar_t
tmp_v
=
velocity
(
nodec
);
scalar_t
h
=
eps_jacobian
*
std
::
abs
(
tmp_v
);
if
(
h
<
1e-4
*
eps_jacobian
)
h
=
eps_jacobian
;
velocity
(
nodec
)
=
tmp_v
+
h
;
h
=
velocity
(
nodec
)
-
tmp_v
;
displacement
(
nodec
)
=
tmp_d
+
alphadt
*
h
;
Eigen
::
Vector2d
element_residual
;
residuals_element
(
element
,
displacement
,
velocity
,
element_residual
,
false
);
displacement
(
nodec
)
=
tmp_d
;
velocity
(
nodec
)
=
tmp_v
;
for
(
index_t
enoder
=
0
;
enoder
<
2
;
++
enoder
)
{
const
index_t
noder
=
m_mesh
->
get_node
(
element
,
enoder
);
if
(
not
m_impl
->
node_has_equation
(
noder
))
continue
;
jacob
.
push_back
(
dfpm
::
triplet_t
(
m_impl
->
id_equation
(
noder
),
m_impl
->
id_equation
(
nodec
),
(
element_residual
(
enoder
)
-
element_residual_orig
(
enoder
))
/
h
));
}
}
}
jacobian
=
Eigen
::
SparseMatrix
<
scalar_t
>
(
get_neq
(),
get_neq
());
jacobian
.
setFromTriplets
(
jacob
.
begin
(),
jacob
.
end
());
}
//! \brief Update the solution
void
PressureEquation
::
update_solution
(
const
Vector
&
update
,
scalar_t
lambda
,
scalar_t
alpha_dt
,
Vector
&
predictor
,
Vector
&
displacement
,
Vector
&
velocity
)
{
for
(
index_t
node:
m_impl
->
mesh
()
->
range_nodes
())
{
if
(
m_impl
->
node_has_equation
(
node
))
{
velocity
(
node
)
+=
lambda
*
update
(
m_impl
->
id_equation
(
node
));
}
}
displacement
=
predictor
+
alpha_dt
*
velocity
;
m_impl
->
compute_transport_rate
(
alpha_dt
,
displacement
);
}
void
PressureEquation
::
number_equations
(
const
TransportConstraints
&
constraints
)
{
for
(
int
fixed:
constraints
.
fixed_nodes
())
{
m_impl
->
fix_node
(
fixed
);
}
index_t
neq
=
0
;
for
(
index_t
node:
m_impl
->
mesh
()
->
range_nodes
())
{
if
(
m_impl
->
m_ideq
[
node
]
==
-
5
)
{
m_impl
->
m_ideq
[
node
]
=
neq
;
++
neq
;
}
}
m_neq
=
neq
;
}
void
PressureEquation
::
PressureEquationImpl
::
compute_transport_rate
(
scalar_t
dt
,
const
Vector
&
displacement
)
{
const
scalar_t
&
rt
=
m_vars
.
constants
.
rt
;
const
MainVariable
&
saturation
=
m_vars
.
liquid_saturation
;
MainVariable
&
pressure
=
m_vars
.
partial_pressure
;
const
SecondaryTransientVariable
&
porosity
=
m_vars
.
porosity
;
for
(
index_t
node:
m_mesh
->
range_nodes
())
{
if
(
!
node_has_equation
(
node
))
continue
;
const
scalar_t
transient
=
(
(
porosity
(
node
)
*
(
1.0
-
saturation
(
node
))
*
displacement
(
node
))
-
(
porosity
.
predictor
(
node
)
*
(
1.0
-
saturation
.
predictor
(
node
))
*
pressure
.
predictor
(
node
))
)
/
(
rt
*
dt
);
const
scalar_t
chem_rates
=
(
-
pressure
.
chemistry_rate
(
node
)
);
pressure
.
transport_fluxes
(
node
)
=
transient
-
chem_rates
;
}
}
}
//end namespace unsaturated
}
//end namespace systems
}
//end namespace reactmicp
}
//end namespace specmicp
Event Timeline
Log In to Comment