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MeshQuad4.h
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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 GOOSEFEM_MESHQUAD4_H
#define GOOSEFEM_MESHQUAD4_H
// -------------------------------------------------------------------------------------------------
#include "GooseFEM.h"
// ===================================== GooseFEM::Mesh::Quad4 =====================================
namespace GooseFEM {
namespace Mesh {
namespace Quad4 {
// ========================================== REGULAR MESH =========================================
class Regular
{
private:
size_t m_nx; // number of 'pixels' horizontal direction (length == "m_nx * m_h")
size_t m_ny; // number of 'pixels' vertical direction (length == "m_ny * m_h")
double m_h; // size of the element edge (equal in both directions)
size_t m_nelem; // number of elements
size_t m_nnode; // number of nodes
size_t m_nne=4; // number of nodes-per-element
size_t m_ndim=2; // number of dimensions
public:
// mesh with "nx*ny" 'pixels' and edge size "h"
Regular(size_t nx, size_t ny, double h=1.);
// sizes
size_t nelem(); // number of elements
size_t nnode(); // number of nodes
size_t nne(); // number of nodes-per-element
size_t ndim(); // number of dimensions
// mesh
MatD coor(); // nodal positions [ nnode , ndim ]
MatS conn(); // connectivity [ nelem , nne ]
// boundary nodes: edges
ColS nodesBottomEdge(); // nodes along the bottom edge
ColS nodesTopEdge(); // nodes along the top edge
ColS nodesLeftEdge(); // nodes along the left edge
ColS nodesRightEdge(); // nodes along the right edge
// boundary nodes: corners
size_t nodesBottomLeftCorner(); // bottom - left corner node
size_t nodesBottomRightCorner(); // bottom - right corner node
size_t nodesTopLeftCorner(); // top - left corner node
size_t nodesTopRightCorner(); // top - right corner node
// boundary nodes: corners (aliases)
size_t nodesLeftBottomCorner(); // bottom - left corner node
size_t nodesLeftTopCorner(); // top - left corner node
size_t nodesRightBottomCorner(); // bottom - right corner node
size_t nodesRightTopCorner(); // top - right corner node
// periodicity
MatS nodesPeriodic(); // periodic node pairs [:,2]: (independent, dependent)
size_t nodesOrigin(); // bottom-left node, to be used as reference for periodicity
MatS dofs(); // DOF-numbers for each component of each node (sequential)
MatS dofsPeriodic(); // DOF-numbers for each component of each node (sequential)
};
// ====================== MESH WITH A FINE LAYER THAT EXPONENTIALLY COARSENS =======================
class FineLayer
{
private:
double m_h; // elementary element size (middle-layer in x-direction has "L = m_nx * m_h")
size_t m_nx; // number of elements in x-direction
ColS m_nh; // element size in y-direction of each layer
ColS m_startNode; // start node of each layer
ColS m_startElem; // start element of each layer
size_t m_nelem; // number of elements
size_t m_nnode; // number of nodes
size_t m_nne=4; // number of nodes-per-element
size_t m_ndim=2; // number of dimensions
public:
// mesh with "nx*ny" 'pixels' and edge size "h"; the elements in y-direction are coarsened
FineLayer(size_t nx, size_t ny, double h=1., size_t nfine=1, size_t nskip=0);
// sizes
size_t nelem(); // number of elements
size_t nnode(); // number of nodes
size_t nne(); // number of nodes-per-element
size_t ndim(); // number of dimensions
size_t shape(size_t i); // actual shape in horizontal and vertical direction
// mesh
MatD coor(); // nodal positions [ nnode , ndim ]
MatS conn(); // connectivity [ nelem , nne ]
// boundary nodes: edges
ColS elementsMiddleLayer(); // elements in the middle, fine, layer
ColS nodesBottomEdge(); // nodes along the bottom edge
ColS nodesTopEdge(); // nodes along the top edge
ColS nodesLeftEdge(); // nodes along the left edge
ColS nodesRightEdge(); // nodes along the right edge
// boundary nodes: corners
size_t nodesBottomLeftCorner(); // bottom - left corner node
size_t nodesBottomRightCorner(); // bottom - right corner node
size_t nodesTopLeftCorner(); // top - left corner node
size_t nodesTopRightCorner(); // top - right corner node
// boundary nodes: corners (aliases)
size_t nodesLeftBottomCorner(); // bottom - left corner node
size_t nodesLeftTopCorner(); // top - left corner node
size_t nodesRightBottomCorner(); // bottom - right corner node
size_t nodesRightTopCorner(); // top - right corner node
// periodicity
MatS nodesPeriodic(); // periodic node pairs [:,2]: (independent, dependent)
size_t nodesOrigin(); // bottom-left node, to be used as reference for periodicity
MatS dofs(); // DOF-numbers for each component of each node (sequential)
MatS dofsPeriodic(); // DOF-numbers for each component of each node (sequential)
};
// =================================================================================================
}}} // namespace ...
// =================================================================================================
#endif

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