Page Menu
Home
c4science
Search
Configure Global Search
Log In
Files
F85416952
axisymmetric_mesh1d.hpp
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
Sun, Sep 29, 01:53
Size
4 KB
Mime Type
text/x-c++
Expires
Tue, Oct 1, 01:53 (2 d)
Engine
blob
Format
Raw Data
Handle
21177890
Attached To
rSPECMICP SpecMiCP / ReactMiCP
axisymmetric_mesh1d.hpp
View Options
#ifndef SPECMICP_DFPM_MESHES_AXISYMMETRICMESH1D_HPP
#define SPECMICP_DFPM_MESHES_AXISYMMETRICMESH1D_HPP
#include "mesh1d.hpp"
namespace
specmicp
{
namespace
mesh
{
//! \brief A generic Axisymmetric 1D mesh
class
AxisymmetricMesh1D
:
public
Mesh1D
{
public
:
const
index_t
radius
=
0
;
const
index_t
cell_vol_0
=
1
;
const
index_t
cell_vol_1
=
2
;
//! \brief Build an axisymmetric 1D mesh
//!
//! \param radius is a vector of the position of the nodes
//! \param height is the height of the sample (or depth)
AxisymmetricMesh1D
(
Vector
radius
,
scalar_t
height
)
:
Mesh1D
(
radius
.
rows
()),
m_height
(
height
),
m_data
(
radius
.
rows
(),
3
),
m_face_radius
(
radius
.
rows
()
-
1
)
{
// radius
m_data
.
col
(
0
)
=
radius
;
// Radius of the faces
for
(
index_t
element
=
0
;
element
<
nb_elements
();
++
element
)
{
m_face_radius
(
element
)
=
(
radius
(
element
+
1
)
+
radius
(
element
))
/
2.0
;
}
// Volume at the left of the cell
m_data
(
0
,
cell_vol_0
)
=
0.0
;
for
(
index_t
node
=
1
;
node
<
nb_nodes
();
++
node
)
{
m_data
(
node
,
cell_vol_0
)
=
M_PI
*
height
*
(
std
::
pow
(
m_face_radius
(
node
-
1
),
2
)
-
std
::
pow
(
radius
(
node
),
2
));
}
// Volume of the cell at the right of the node
for
(
index_t
node
=
0
;
node
<
nb_nodes
()
-
1
;
++
node
)
{
m_data
(
node
,
cell_vol_1
)
=
M_PI
*
height
*
(
std
::
pow
(
radius
(
node
),
2
)
-
std
::
pow
(
m_face_radius
(
node
),
2
));
}
m_data
(
nb_nodes
()
-
1
,
cell_vol_1
)
=
0.0
;
}
//! \brief Return the radius of an element
scalar_t
get_radius
(
index_t
element
,
index_t
enode
)
{
return
m_data
(
get_node
(
element
,
enode
),
radius
);
}
//! \brief Return the radius of the face
scalar_t
get_radius_face
(
index_t
element
)
{
return
m_face_radius
(
element
);
}
//! \brief Return the position (meaning may vary with the mesh) of the node
scalar_t
get_position
(
index_t
node
)
{
return
m_data
(
node
,
radius
);}
//! \brief Return the length of an element
scalar_t
get_dx
(
index_t
element
)
{
return
get_radius
(
element
,
0
)
-
get_radius
(
element
,
1
);}
//! \brief Return the area of the face at the middle of an element
scalar_t
get_face_area
(
index_t
element
)
{
return
2
*
M_PI
*
m_face_radius
(
element
)
*
m_height
;}
//! \brief Return the volume of an element
scalar_t
get_volume_element
(
index_t
element
)
{
return
(
m_data
(
get_node
(
element
,
0
),
cell_vol_1
)
+
m_data
(
get_node
(
element
,
1
),
cell_vol_0
));}
//! \brief Return the volume of a cell (element of the dual mesh)
scalar_t
get_volume_cell
(
index_t
node
)
{
return
(
m_data
(
node
,
cell_vol_0
)
+
m_data
(
node
,
cell_vol_1
));}
//! \brief Return the volume of a cell inside an element
virtual
scalar_t
get_volume_cell_element
(
index_t
element
,
index_t
enode
)
{
if
(
enode
==
0
)
return
m_data
(
get_node
(
element
,
enode
),
cell_vol_1
);
else
return
m_data
(
get_node
(
element
,
enode
),
cell_vol_0
);
}
private
:
scalar_t
m_height
;
Matrix
m_data
;
Vector
m_face_radius
;
};
//! \brief Return a shared_ptr to an axisymmetric mesh
//!
//! \param radius is a vector of the position of the nodes
//! \param height is the height of the sample (or depth)
inline
Mesh1DPtr
axisymmetric_mesh1d
(
Vector
radius
,
scalar_t
height
)
{
return
std
::
static_pointer_cast
<
Mesh1D
>
(
std
::
make_shared
<
AxisymmetricMesh1D
>
(
radius
,
height
));
}
//! \brief Factory method to build a pointer to a uniform axisymmetric 1D mesh
//!
//! \param nb_nodes number of nodes in the mesh
//! \param radius of the first node (biggest radius in the mesh)
//! \param dx length of an element
//! \param height is the height of the sample (or depth)
//!
//! Note: this method buil an AxisymmetricMesh1D instance while
//! the specmicp::mesh::axisymmetric_uniform_mesh1d method build a
//! specmicp::mesh::AxisymmetricUniformMesh1D instance.
inline
Mesh1DPtr
uniform_axisymmetric_mesh1d
(
index_t
nb_nodes
,
scalar_t
radius
,
scalar_t
dx
,
scalar_t
height
)
{
Vector
radius_s
(
nb_nodes
);
for
(
index_t
node
=
0
;
node
<
nb_nodes
;
++
node
)
{
radius_s
(
node
)
=
radius
-
node
*
dx
;
}
return
std
::
static_pointer_cast
<
Mesh1D
>
(
std
::
make_shared
<
AxisymmetricMesh1D
>
(
radius_s
,
height
));
}
}
// end namespace mesh
}
// end namespace specmicp
#endif
// SPECMICP_DFPM_MESHES_AXISYMMETRICMESH1D_HPP
Event Timeline
Log In to Comment