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Fri, Jun 28, 09:24

Element.cpp
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/* =================================================================================================
(c - GPLv3) T.W.J. de Geus (Tom) | tom@geus.me | www.geus.me | github.com/tdegeus/GooseFEM
================================================================================================= */
#ifndef GOOSEFEM_ELEMENT_CPP
#define GOOSEFEM_ELEMENT_CPP
// -------------------------------------------------------------------------------------------------
#include "Element.h"
// ======================================= GooseFEM::Element =======================================
namespace GooseFEM {
namespace Element {
// -------------------------------------------------------------------------------------------------
inline ArrD asElementVector(const MatS &conn, const MatD &nodevec)
{
// extract dimensions
size_t nelem = static_cast<size_t>(conn .rows());
size_t nne = static_cast<size_t>(conn .cols());
size_t ndim = static_cast<size_t>(nodevec.cols());
// allocate output: nodal vectors stored per element
ArrD elemvec = ArrD::Zero({nelem, nne, ndim});
// read from nodal vectors
#pragma omp parallel for
for ( size_t e = 0 ; e < nelem ; ++e )
for ( size_t m = 0 ; m < nne ; ++m )
for ( size_t i = 0 ; i < ndim ; ++i )
elemvec(e,m,i) = nodevec(conn(e,m),i);
return elemvec;
}
// -------------------------------------------------------------------------------------------------
inline MatD assembleNodeVector(const MatS &conn, const ArrD &elemvec)
{
// check input
assert( elemvec.ndim() == 3 ); // nodal vector stored per element [nelem, nne, ndim]
// extract dimensions
size_t nelem = static_cast<size_t>(conn.rows()); // number of elements
size_t nne = static_cast<size_t>(conn.cols()); // number of nodes per element
size_t ndim = elemvec.shape(2); // number of dimensions
size_t nnode = conn.maxCoeff()+1; // number of nodes
// check input
assert( elemvec.shape(0) == nelem );
assert( elemvec.shape(1) == nne );
// zero-initialize output: nodal vectors
MatD nodevec = MatD::Zero(nnode, ndim);
// temporarily disable parallelization by Eigen
Eigen::setNbThreads(1);
// start threads (all variables declared in this scope are local to each thread)
#pragma omp parallel
{
// zero-initialize output: nodal vectors
MatD t_nodevec = MatD::Zero(nnode, ndim);
// assemble from nodal vectors stored per element
#pragma omp for
for ( size_t e = 0 ; e < nelem ; ++e )
for ( size_t m = 0 ; m < nne ; ++m )
for ( size_t i = 0 ; i < ndim ; ++i )
t_nodevec(conn(e,m),i) += elemvec(e,m,i);
// reduce: combine result obtained on the different threads
#pragma omp critical
nodevec += t_nodevec;
}
// reset automatic parallelization by Eigen
Eigen::setNbThreads(0);
return nodevec;
}
// -------------------------------------------------------------------------------------------------
}} // namespace ...
// =================================================================================================
#endif

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