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rGOOSEFEM/docs/figures/Mesh/renumber.cpp
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renumber.cpp
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#include <GooseFEM/GooseFEM.h>
using ColS = GooseFEM::ColS;
using MatS = GooseFEM::MatS;
int main()
{
// mesh definition
GooseFEM::Mesh::Quad4::Regular mesh = GooseFEM::Mesh::Quad4::Regular(2,2);
// extract information
size_t ndim = mesh.ndim ();
ColS top = mesh.nodesTop ();
ColS bottom = mesh.nodesBottom();
ColS left = mesh.nodesLeft ();
ColS right = mesh.nodesRight ();
size_t nleft = static_cast<size_t>(left.size());
size_t ntop = static_cast<size_t>(top .size());
// default DOF-numbers: sequential numbering per element
MatS dofs = mesh.dofs();
std::cout << "dofs = " << std::endl;
std::cout << dofs << std::endl << std::endl;
// periodicity in horizontal direction : eliminate 'dependent' DOFs
// N.B. the corner nodes are part of the fixed boundaries
for ( size_t i = 1 ; i < nleft-1 ; ++i )
for ( size_t j = 0 ; j < ndim ; ++j )
dofs(right(i),j) = dofs(left(i),j);
// renumber "dofs" to be sequential
dofs = GooseFEM::Mesh::renumber(dofs);
std::cout << "periodicity :" << std::endl << "dofs = " << std::endl;
std::cout << dofs << std::endl << std::endl;
// construct list with prescribed DOFs
// - allocate
ColS fixedDofs(2*ntop*ndim);
// - read: bottom
for ( size_t i = 0 ; i < ntop ; ++i )
for ( size_t j = 0 ; j < ndim ; ++j )
fixedDofs(i*ndim+j) = dofs(bottom(i),j);
// - read: top
for ( size_t i = 0 ; i < ntop ; ++i )
for ( size_t j = 0 ; j < ndim ; ++j )
fixedDofs(i*ndim+j+ntop*ndim) = dofs(top(i),j);
// renumber "dofs" to have the "fixedDofs" at the end
dofs = GooseFEM::Mesh::renumber(dofs,fixedDofs);
std::cout << "fixedDofs to end :" << std::endl << "dofs = " << std::endl;
std::cout << dofs << std::endl << std::endl;
}
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