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Thu, May 2, 03:56

generic_mesh1d.cpp
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/* =============================================================================
Copyright (c) 2014 - 2016
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 "generic_mesh1d.hpp"
namespace specmicp {
namespace mesh {
GenericMesh1D::GenericMesh1D(const Vector& coords, scalar_t section):
Mesh1D(coords.rows()),
m_section(section),
m_data(coords.rows(), 4),
m_face_coord(coords.rows()-1)
{
// radius
m_data.col(coord) = coords;
// Radius of the faces
for (index_t element=0; element<nb_elements(); ++element)
{
m_face_coord(element) = (coords(element+1)+coords(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_section*(coords(node)-m_face_coord(node-1));
}
// 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_section*(m_face_coord(node)-coords(node));
}
m_data(nb_nodes()-1, cell_vol_1) = 0.0;
}
Mesh1DPtr uniform_mesh1d(const Uniform1DMeshGeometry& geometry)
{
Vector coords(geometry.nb_nodes);
for (auto node = 0; node < geometry.nb_nodes; ++node) {
coords(node) = node*geometry.dx;
}
Mesh1DPtr mesh = generic_mesh1d(coords, geometry.section);
return mesh;
}
Mesh1DPtr generic_mesh1d(const Vector& coords, scalar_t section)
{
return std::static_pointer_cast<Mesh1D>(
std::make_shared<GenericMesh1D>(coords, section));
}
Mesh1DPtr SPECMICP_DLL_PUBLIC ramp_mesh1d(const Ramp1DMeshGeometry& geometry)
{
const scalar_t b = geometry.dx_min;
const scalar_t a = (geometry.dx_max - geometry.dx_min)/geometry.length_ramp;
std::vector<scalar_t> coords;
coords.reserve( ceil( geometry.length_plateau/geometry.dx_max
+2*geometry.length_ramp/(geometry.dx_max+geometry.dx_min)
) +5);
scalar_t x = 0;
coords.push_back(x);
while (x < geometry.length_ramp)
{
scalar_t hbar = a*x+b;
scalar_t mult = std::floor(hbar/geometry.dx_min);
scalar_t rem = hbar - mult*geometry.dx_min;
if (rem/geometry.dx_min < 0.5)
x += mult*geometry.dx_min;
else
x += (mult+1)*geometry.dx_min;
coords.push_back(x);
}
while(x < geometry.length_plateau+geometry.length_ramp)
{
x += geometry.dx_max;
coords.push_back(x);
}
Vector eig_coords = Eigen::Map<Vector>(coords.data(), coords.size());
return generic_mesh1d(eig_coords, geometry.section);
}
} //end namespace mesh
} //end namespace specmicp

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