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axisymmetric_mesh1d.hpp
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rSPECMICP SpecMiCP / ReactMiCP
axisymmetric_mesh1d.hpp
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#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
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