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axisymmetric_uniform_mesh1d.hpp
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/*-------------------------------------------------------------------------------
Copyright (c) 2014,2015 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.
-----------------------------------------------------------------------------*/
#ifndef SPECMICP_REACTMICP_MESHES_AXISYMMETRICMESH1D_HPP
#define SPECMICP_REACTMICP_MESHES_AXISYMMETRICMESH1D_HPP
#include "mesh1d.hpp"
// \file axisymmetric_uniform_mesh1d.hpp Uniform axisymmetric 1D mesh
namespace specmicp {
namespace mesh {
//! \brief A uniform 1D mesh
class AxisymmetricUniformMesh1D: public Mesh1D
{
public:
AxisymmetricUniformMesh1D(index_t nb_nodes, scalar_t radius, scalar_t height):
Mesh1D(nb_nodes),
m_radius(radius),
m_radius_int(0.0),
m_dx(radius/(nb_nodes-1)),
m_height(height)
{}
AxisymmetricUniformMesh1D(index_t nb_nodes, scalar_t radius, scalar_t dx, scalar_t height):
Mesh1D(nb_nodes),
m_radius(radius),
m_radius_int(radius-(nb_nodes-1)*dx),
m_dx(dx),
m_height(height)
{}
scalar_t get_radius_node(index_t node) {
return m_radius-m_dx*node;
}
//! Return the radius of a face of an element
scalar_t get_radius_face(index_t element) {
return get_radius_node(get_node(element, 1))+m_dx/2;
}
scalar_t get_position(index_t node) {return get_radius_node(node);}
scalar_t get_dx(index_t _) {return m_dx;}
scalar_t get_face_area(index_t element) {
return 2*M_PI*get_radius_face(element)*m_height;}
scalar_t get_volume_element(index_t element) {return M_PI*m_height*(
std::pow(get_radius_node(get_node(element, 0)),2)
- std::pow(get_radius_node(get_node(element, 1)),2))
;}
scalar_t get_volume_cell(index_t node) {
if (node ==0)
return M_PI*m_height*(std::pow(m_radius,2)-std::pow(get_radius_face(0),2));
else if (node == nb_nodes()-1)
if (m_radius_int == 0.0)
return M_PI*m_height*std::pow(m_dx/2.0,2);
else
return M_PI*m_height*(std::pow(get_radius_face(node-1),2) - std::pow(m_radius_int,2));
else
return M_PI*m_height*(std::pow(get_radius_face(node-1),2) - std::pow(get_radius_face(node),2));
}
scalar_t get_volume_cell_element(index_t element, index_t enode) {
if (enode == 0)
{
return M_PI*m_height*(std::pow(get_radius_node(get_node(element,enode)),2)
- std::pow(get_radius_face(element),2));
}
else
{
return M_PI*m_height*(std::pow(get_radius_face(element),2)
- std::pow(get_radius_node(get_node(element,enode)),2));
}
}
private:
scalar_t m_radius;
scalar_t m_radius_int;
scalar_t m_dx;
scalar_t m_height;
};
//! \brief Factory method to build a pointer to a uniform 1D mesh
inline Mesh1DPtr axisymmetric_uniform_mesh1d(index_t nb_nodes, scalar_t radius, scalar_t height)
{
return std::static_pointer_cast<Mesh1D>(
std::make_shared<AxisymmetricUniformMesh1D>(nb_nodes, radius, height));
}
//! \brief Factory method to build a pointer to a uniform 1D mesh
inline Mesh1DPtr axisymmetric_uniform_mesh1d(index_t nb_nodes, scalar_t radius, scalar_t dx, scalar_t height)
{
return std::static_pointer_cast<Mesh1D>(
std::make_shared<AxisymmetricUniformMesh1D>(nb_nodes, radius, dx, height));
}
} // end namespace mesh
} // end namespace specmicp
#endif // SPECMICP_REACTMICP_MESHES_AXISYMMETRICMESH1D_HPP

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