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MeshQuad4.h
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/* =================================================================================================
(c - GPLv3) T.W.J. de Geus (Tom) | tom@geus.me | www.geus.me | github.com/tdegeus/GooseFEM
================================================================================================= */
#ifndef XGOOSEFEM_MESHQUAD4_H
#define XGOOSEFEM_MESHQUAD4_H
// -------------------------------------------------------------------------------------------------
#include "GooseFEM.h"
// ===================================== xGooseFEM::Mesh::Quad4 =====================================
namespace xGooseFEM {
namespace Mesh {
namespace Quad4 {
// ----------------------------------------- regular mesh ------------------------------------------
class Regular
{
private:
double m_h; // elementary element edge-size (in all directions)
size_t m_nelx; // number of elements in x-direction (length == "m_nelx * m_h")
size_t m_nely; // number of elements in y-direction (length == "m_nely * m_h")
size_t m_nelem; // number of elements
size_t m_nnode; // number of nodes
static const size_t m_nne=4; // number of nodes-per-element
static const size_t m_ndim=2; // number of dimensions
public:
// mesh with "nelx*nely" 'elements' of edge size "h"
Regular(size_t nelx, size_t nely, double h=1.);
// sizes
size_t nelem() const; // number of elements
size_t nnode() const; // number of nodes
size_t nne() const; // number of nodes-per-element
size_t ndim() const; // number of dimensions
size_t nnodePeriodic() const; // number of nodes, after elimination of periodicity
// mesh
xt::xtensor<double,2> coor() const; // nodal positions [nnode ,ndim]
xt::xtensor<size_t,2> conn() const; // connectivity [nelem ,nne ]
// boundary nodes: edges
xt::xtensor<size_t,1> nodesBottomEdge() const; // node-numbers along the bottom edge
xt::xtensor<size_t,1> nodesTopEdge() const; // node-numbers along the top edge
xt::xtensor<size_t,1> nodesLeftEdge() const; // node-numbers along the left edge
xt::xtensor<size_t,1> nodesRightEdge() const; // node-numbers along the right edge
// boundary nodes: edges, without corners
xt::xtensor<size_t,1> nodesBottomOpenEdge() const; // node-numbers along the bottom edge
xt::xtensor<size_t,1> nodesTopOpenEdge() const; // node-numbers along the top edge
xt::xtensor<size_t,1> nodesLeftOpenEdge() const; // node-numbers along the left edge
xt::xtensor<size_t,1> nodesRightOpenEdge() const; // node-numbers along the right edge
// boundary nodes: corners
size_t nodesBottomLeftCorner() const; // node-number of the bottom - left corner
size_t nodesBottomRightCorner() const; // node-number of the bottom - right corner
size_t nodesTopLeftCorner() const; // node-number of the top - left corner
size_t nodesTopRightCorner() const; // node-number of the top - right corner
// boundary nodes: corners (aliases)
size_t nodesLeftBottomCorner() const; // alias, see above: nodesBottomLeftCorner
size_t nodesLeftTopCorner() const; // alias, see above: nodesBottomRightCorner
size_t nodesRightBottomCorner() const; // alias, see above: nodesTopLeftCorner
size_t nodesRightTopCorner() const; // alias, see above: nodesTopRightCorner
// periodicity
xt::xtensor<size_t,2> nodesPeriodic() const; // periodic node pairs [:,2]: (independent, dependent)
size_t nodesOrigin() const; // bottom-left node, used as reference for periodicity
xt::xtensor<size_t,2> dofs() const; // DOF-numbers for each component of each node (sequential)
xt::xtensor<size_t,2> dofsPeriodic() const; // ,, for the case that the periodicity if fully eliminated
};
// ---------------------- mesh with a fine layer that exponentially coarsens -----------------------
class FineLayer
{
private:
double m_h; // elementary element edge-size (in all directions)
double m_Lx; // mesh size in "x"
size_t m_nelem; // number of elements
size_t m_nnode; // number of nodes
static const size_t m_nne=4; // number of nodes-per-element
static const size_t m_ndim=2; // number of dimensions
xt::xtensor<size_t,1> m_nelx; // number of elements in "x" (per el.layer in "y")
xt::xtensor<size_t,1> m_nnd; // total number of nodes in the main node layer (per nd.layer in "y")
xt::xtensor<size_t,1> m_nhx, m_nhy; // element size in each direction (per el.layer in "y")
xt::xtensor<int ,1> m_refine; // refine direction (-1:no refine, 0:"x") (per el.layer in "y")
xt::xtensor<size_t,1> m_startElem; // start element (per el.layer in "y")
xt::xtensor<size_t,1> m_startNode; // start node (per nd.layer in "y")
public:
// mesh with "nelx*nely" elements of edge size "h"; elements are coarsened in "y"-direction
FineLayer(size_t nelx, size_t nely, double h=1., size_t nfine=1);
// sizes
size_t nelem() const; // number of elements
size_t nnode() const; // number of nodes
size_t nne() const; // number of nodes-per-element
size_t ndim() const; // number of dimensions
size_t shape(size_t i) const; // actual shape in a certain direction
// mesh
xt::xtensor<double,2> coor() const; // nodal positions [nnode ,ndim]
xt::xtensor<size_t,2> conn() const; // connectivity [nelem ,nne ]
// element sets
xt::xtensor<size_t,1> elementsMiddleLayer() const; // elements in the middle, fine, layer
// boundary nodes: edges
xt::xtensor<size_t,1> nodesBottomEdge() const; // node-numbers along the bottom edge
xt::xtensor<size_t,1> nodesTopEdge() const; // node-numbers along the top edge
xt::xtensor<size_t,1> nodesLeftEdge() const; // node-numbers along the left edge
xt::xtensor<size_t,1> nodesRightEdge() const; // node-numbers along the right edge
// boundary nodes: edges, without corners
xt::xtensor<size_t,1> nodesBottomOpenEdge() const; // node-numbers along the bottom edge
xt::xtensor<size_t,1> nodesTopOpenEdge() const; // node-numbers along the top edge
xt::xtensor<size_t,1> nodesLeftOpenEdge() const; // node-numbers along the left edge
xt::xtensor<size_t,1> nodesRightOpenEdge() const; // node-numbers along the right edge
// boundary nodes: corners
size_t nodesBottomLeftCorner() const; // node-number of the bottom - left corner
size_t nodesBottomRightCorner() const; // node-number of the bottom - right corner
size_t nodesTopLeftCorner() const; // node-number of the top - left corner
size_t nodesTopRightCorner() const; // node-number of the top - right corner
// boundary nodes: corners (aliases)
size_t nodesLeftBottomCorner() const; // alias, see above: nodesBottomLeftCorner
size_t nodesLeftTopCorner() const; // alias, see above: nodesBottomRightCorner
size_t nodesRightBottomCorner() const; // alias, see above: nodesTopLeftCorner
size_t nodesRightTopCorner() const; // alias, see above: nodesTopRightCorner
// periodicity
xt::xtensor<size_t,2> nodesPeriodic() const; // periodic node pairs [:,2]: (independent, dependent)
size_t nodesOrigin() const; // bottom-left node, used as reference for periodicity
xt::xtensor<size_t,2> dofs() const; // DOF-numbers for each component of each node (sequential)
xt::xtensor<size_t,2> dofsPeriodic() const; // ,, for the case that the periodicity if fully eliminated
};
// -------------------------------------------------------------------------------------------------
}}} // namespace ...
// =================================================================================================
#endif

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