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FE_Interpolate.h
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Wed, Nov 13, 05:10

FE_Interpolate.h
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#ifndef FE_INTERPOLATE_H
#define FE_INTERPOLATE_H
#include "MatrixLibrary.h"
#include "ATC_TypeDefs.h"
#include <vector>
#include <map>
namespace ATC {
struct FE_Quadrature;
class FE_Element;
/**
* @class FE_Interpolate
* @brief Base class for computing shape functions, nested inside FE_Element
*/
class FE_Interpolate {
public:
FE_Interpolate(FE_Element *feElement);
virtual ~FE_Interpolate();
/** compute the quadrature for a given element type */
void set_quadrature(FeEltGeometry geo, FeIntQuadrature quad);
/** store N_ and dNdr_ (and eventually dNdrFace_) the given
* quadrature */
virtual void precalculate_shape_functions();
/** compute the shape functions at the given point;
* we use CLON_VECs */
virtual void compute_N(const VECTOR &point,
VECTOR &N) = 0;
// middle args get no names because they won't be used by some
// child classes.
/** compute the shape function derivatives at the given point;
* generic, so can work for 2D or 3D case */
virtual void compute_dNdr(const VECTOR &point,
const int,
const int,
const double,
DENS_MAT &dNdr) = 0;
/** compute both shape functions and derivatives, using the
* fastest, shortcuttiest methods available for batch use */
virtual void compute_N_dNdr(const VECTOR &point,
VECTOR &N,
DENS_MAT &dNdr) const = 0;
/** compute shape functions at a single point, given the local
* coordinates; eltCoords needed for derivatives:
* indexed: N(node)
* dN[nsd](node) */
virtual void shape_function(const VECTOR &xi,
DENS_VEC &N);
virtual void shape_function(const DENS_MAT &eltCoords,
const VECTOR &xi,
DENS_VEC &N,
DENS_MAT &dNdx);
virtual void shape_function_derivatives(const DENS_MAT &eltCoords,
const VECTOR &xi,
DENS_MAT &dNdx);
/** compute shape functions at all ip's:
* indexed: N(ip,node)
* dN[nsd](ip,node)
* weights(ip) */
virtual void shape_function(const DENS_MAT &eltCoords,
DENS_MAT &N,
std::vector<DENS_MAT> &dN,
DIAG_MAT &weights);
/** compute shape functions at all face ip's:
* indexed: N(ip,node)
* dN[nsd](ip,node)
* n(ip,node)/Nn[nsd](ip,node)
* weights(ip) */
virtual void face_shape_function(const DENS_MAT &eltCoords,
const DENS_MAT &faceCoords,
const int faceID,
DENS_MAT &N,
DENS_MAT &n,
DIAG_MAT &weights);
virtual void face_shape_function(const DENS_MAT &eltCoords,
const DENS_MAT &faceCoords,
const int faceID,
DENS_MAT &N,
std::vector<DENS_MAT> &dN,
std::vector<DENS_MAT> &Nn,
DIAG_MAT &weights);
/** compute unit normal vector for a face:
* indexed: N(ip,node)
* dN[nsd](ip,node)
* n(ip,node)/Nn[nsd](ip,node)
* weights(ip) */
virtual double face_normal(const DENS_MAT &faceCoords,
int ip,
DENS_VEC &normal);
/** compute tangents to coordinate lines
* indexed: */
virtual void tangents(const DENS_MAT &eltCoords,
const VECTOR &localCoords,
DENS_MAT &dxdr) const;
virtual void tangents(const DENS_MAT &eltCoords,
const VECTOR &localCoords,
std::vector<DENS_VEC> &t,
const bool normalize = false) const;
/** get number of ips in scheme */
int num_ips() const;
/** get number of ips per face */
int num_face_ips() const;
protected:
// owner element
FE_Element *feElement_;
// Number of dimensions
int nSD_;
std::map<FeIntQuadrature,FE_Quadrature *> feQuadList_;
FE_Quadrature *feQuad_;
// matrix of shape functions at ip's: N_(ip, node)
DENS_MAT N_;
std::vector<DENS_MAT> dNdr_;
// matrix of shape functions at ip's: N_(ip, node)
std::vector<DENS_MAT> NFace_;
// matrix of generic face shape function derivatives
std::vector<std::vector<DENS_MAT> > dNdrFace_;
// matrix of generic face shape function derivatives
std::vector<DENS_MAT> dNdrFace2D_;
};
/**********************************************
* Class for linear interpolation functions with
* Cartesian coordinates
**********************************************/
class FE_InterpolateCartLagrange : public FE_Interpolate {
public:
FE_InterpolateCartLagrange(FE_Element *feElement);
virtual ~FE_InterpolateCartLagrange();
virtual void compute_N(const VECTOR &point,
VECTOR &N);
virtual void compute_dNdr(const VECTOR &point,
const int numNodes,
const int nD,
const double,
DENS_MAT &dNdr);
virtual void compute_N_dNdr(const VECTOR &point,
VECTOR &N,
DENS_MAT &dNdr) const;
};
/**********************************************
* Class for linear elements with
* Cartesian coordinates
**********************************************/
class FE_InterpolateCartLin : public FE_Interpolate {
public:
FE_InterpolateCartLin(FE_Element *feElement);
virtual ~FE_InterpolateCartLin();
virtual void compute_N(const VECTOR &point,
VECTOR &N);
virtual void compute_dNdr(const VECTOR &point,
const int numNodes,
const int nD,
const double vol,
DENS_MAT &dNdr);
virtual void compute_N_dNdr(const VECTOR &point,
VECTOR &N,
DENS_MAT &dNdr) const;
};
/**********************************************
* Class for quadratic serendipity elements with
* Cartesian coordinates
**********************************************/
class FE_InterpolateCartSerendipity : public FE_Interpolate {
public:
FE_InterpolateCartSerendipity(FE_Element *feElement);
virtual ~FE_InterpolateCartSerendipity();
virtual void compute_N(const VECTOR &point,
VECTOR &N);
virtual void compute_dNdr(const VECTOR &point,
const int numNodes,
const int nD,
const double vol,
DENS_MAT &dNdr);
virtual void compute_N_dNdr(const VECTOR &point,
VECTOR &N,
DENS_MAT &dNdr) const;
};
/**********************************************
* Class for linear interpolation functions with
* volumetric coordinates
**********************************************/
class FE_InterpolateSimpLin : public FE_Interpolate {
public:
// "Simp"ly overrides all standard shape function methods
FE_InterpolateSimpLin(FE_Element *feElement);
virtual ~FE_InterpolateSimpLin();
virtual void compute_N(const VECTOR &point,
VECTOR &N);
// middle args get no names because they won't be used by some
// child classes.
virtual void compute_dNdr(const VECTOR &,
const int,
const int,
const double,
DENS_MAT &dNdr);
virtual void compute_N_dNdr(const VECTOR &point,
VECTOR &N,
DENS_MAT &dNdr) const;
};
}; // namespace ATC
#endif // FE_INTERPOLATE_H

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