fe_engine.hh
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fe_engine.hh
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	/**
	* @file fe_engine.hh
	*
	* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
	* @author Nicolas Richart <nicolas.richart@epfl.ch>
	*
	* @date creation: Tue Jul 20 2010
	* @date last modification: Mon Jul 07 2014
	*
	* @brief FEM class
	*
	* @section LICENSE
	*
	* Copyright (©) 2010-2012, 2014 EPFL (Ecole Polytechnique Fédérale de Lausanne)
	* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
	*
	* Akantu is free software: you can redistribute it and/or modify it under the
	* terms of the GNU Lesser General Public License as published by the Free
	* Software Foundation, either version 3 of the License, or (at your option) any
	* later version.
	*
	* Akantu is distributed in the hope that it will be useful, but WITHOUT ANY
	* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	* A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
	* details.
	*
	* You should have received a copy of the GNU Lesser General Public License
	* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
	*
	*/

	/* -------------------------------------------------------------------------- */

	#ifndef __AKANTU_FE_ENGINE_HH__
	#define __AKANTU_FE_ENGINE_HH__

	/* -------------------------------------------------------------------------- */
	#include "aka_common.hh"
	#include "aka_memory.hh"
	#include "mesh.hh"
	#include "element_class.hh"
	#include "sparse_matrix.hh"

	/* -------------------------------------------------------------------------- */
	namespace akantu {
	class Integrator;
	class ShapeFunctions;
	}

	__BEGIN_AKANTU__

	class QuadraturePoint : public Element {
	public:
	typedef Vector<Real> position_type;
	public:
	QuadraturePoint(ElementType type = _not_defined, UInt element = 0,
	UInt num_point = 0, GhostType ghost_type = _not_ghost) :
	Element(type, element, ghost_type), num_point(num_point), global_num(0),
	position((Real *)NULL, 0) { };

	QuadraturePoint(UInt element, UInt num_point,
	UInt global_num,
	const position_type & position,
	ElementType type,
	GhostType ghost_type = _not_ghost) :
	Element(type, element, ghost_type), num_point(num_point), global_num(global_num),
	position((Real *)NULL, 0) { this->position.shallowCopy(position); };

	QuadraturePoint(const QuadraturePoint & quad) :
	Element(quad), num_point(quad.num_point), global_num(quad.global_num), position((Real *) NULL, 0) {
	position.shallowCopy(quad.position);
	};

	inline QuadraturePoint & operator=(const QuadraturePoint & q) {
	if(this != &q) {
	element = q.element;
	type = q.type;
	ghost_type = q.ghost_type;
	num_point = q.num_point;
	global_num = q.global_num;
	position.shallowCopy(q.position);
	}

	return *this;
	}

	AKANTU_GET_MACRO(Position, position, const position_type &);

	void setPosition(const position_type & position) {
	this->position.shallowCopy(position);
	}

	/// function to print the containt of the class
	virtual void printself(std::ostream & stream, int indent = 0) const {
	std::string space;
	for(Int i = 0; i < indent; i++, space += AKANTU_INDENT);
	stream << space << "QuadraturePoint [";
	Element::printself(stream, 0);
	stream << ", " << num_point << "]";
	}

	public:
	UInt num_point;
	UInt global_num;
	private:
	position_type position;
	};

	/**
	* The generic FEEngine class derived in a FEEngineTemplate class containing the
	* shape functions and the integration method
	*/
	class FEEngine : protected Memory {
	/* ------------------------------------------------------------------------ */
	/* Constructors/Destructors */
	/* ------------------------------------------------------------------------ */
	public:

	FEEngine(Mesh & mesh, UInt spatial_dimension = _all_dimensions,
	ID id = "fem", MemoryID memory_id = 0);

	virtual ~FEEngine();

	/* ------------------------------------------------------------------------ */
	/* Methods */
	/* ------------------------------------------------------------------------ */
	public:
	/// build the profile of the sparse matrix corresponding to the mesh
	void initSparseMatrixProfile(SparseMatrixType sparse_matrix_type = _unsymmetric);

	/// pre-compute all the shape functions, their derivatives and the jacobians
	virtual void initShapeFunctions(const GhostType & ghost_type = _not_ghost) = 0;

	/// extract the nodal values and store them per element
	template<typename T>
	static void extractNodalToElementField(const Mesh & mesh,
	const Array<T> & nodal_f,
	Array<T> & elemental_f,
	const ElementType & type,
	const GhostType & ghost_type = _not_ghost,
	const Array<UInt> & filter_elements = empty_filter);

	/// filter a field
	template<typename T>
	static void filterElementalData(const Mesh & mesh,
	const Array<T> & quad_f,
	Array<T> & filtered_f,
	const ElementType & type,
	const GhostType & ghost_type = _not_ghost,
	const Array<UInt> & filter_elements = empty_filter);



	/* ------------------------------------------------------------------------ */
	/* Integration method bridges */
	/* ------------------------------------------------------------------------ */
	/// integrate f for all elements of type "type"
	virtual void integrate(const Array<Real> & f,
	Array<Real> &intf,
	UInt nb_degree_of_freedom,
	const ElementType & type,
	const GhostType & ghost_type = _not_ghost,
	const Array<UInt> & filter_elements = empty_filter) const = 0;

	/// integrate a scalar value on all elements of type "type"
	virtual Real integrate(const Array<Real> & f,
	const ElementType & type,
	const GhostType & ghost_type = _not_ghost,
	const Array<UInt> & filter_elements = empty_filter) const = 0;

	/// integrate f for all quadrature points of type "type" but don't sum over all quadrature points
	virtual void integrateOnQuadraturePoints(const Array<Real> & f,
	Array<Real> &intf,
	UInt nb_degree_of_freedom,
	const ElementType & type,
	const GhostType & ghost_type = _not_ghost,
	const Array<UInt> & filter_elements = empty_filter) const = 0;

	/// integrate one element scalar value on all elements of type "type"
	virtual Real integrate(const Vector<Real> & f,
	const ElementType & type,
	UInt index, const GhostType & ghost_type = _not_ghost) const = 0;


	/* ------------------------------------------------------------------------ */
	/* compatibility with old FEEngine fashion */
	/* ------------------------------------------------------------------------ */
	/// get the number of quadrature points
	virtual UInt getNbQuadraturePoints(const ElementType & type,
	const GhostType & ghost_type = _not_ghost) const = 0;
	/// get the precomputed shapes
	const virtual Array<Real> & getShapes(const ElementType & type,
	const GhostType & ghost_type = _not_ghost,
	UInt id = 0) const = 0;

	/// get the derivatives of shapes
	const virtual Array<Real> & getShapesDerivatives(const ElementType & type,
	const GhostType & ghost_type = _not_ghost,
	UInt id = 0) const = 0;

	/// get quadrature points
	const virtual Matrix<Real> & getQuadraturePoints(const ElementType & type,
	const GhostType & ghost_type = _not_ghost) const = 0;

	/* ------------------------------------------------------------------------ */
	/* Shape method bridges */
	/* ------------------------------------------------------------------------ */
	virtual
	void gradientOnQuadraturePoints(const Array<Real> &u,
	Array<Real> &nablauq,
	const UInt nb_degree_of_freedom,
	const ElementType & type,
	const GhostType & ghost_type = _not_ghost,
	const Array<UInt> & filter_elements = empty_filter) const = 0;

	virtual
	void interpolateOnQuadraturePoints(const Array<Real> &u,
	Array<Real> &uq,
	UInt nb_degree_of_freedom,
	const ElementType & type,
	const GhostType & ghost_type = _not_ghost,
	const Array<UInt> & filter_elements = empty_filter) const = 0;

	virtual
	void interpolateOnQuadraturePoints(const Array<Real> & u,
	ElementTypeMapArray<Real> & uq,
	const ElementTypeMapArray<UInt> * filter_elements = NULL) const = 0;

	/* ------------------------------------------------------------------------ */
	/* Other methods */
	/* ------------------------------------------------------------------------ */

	/// pre-compute normals on control points
	virtual void computeNormalsOnControlPoints(const GhostType & ghost_type = _not_ghost) = 0;

	/// pre-compute normals on control points
	virtual void computeNormalsOnControlPoints(__attribute__((unused)) const Array<Real> & field,
	__attribute__((unused)) const GhostType & ghost_type = _not_ghost) {
	AKANTU_DEBUG_TO_IMPLEMENT();
	}

	/// pre-compute normals on control points
	virtual void computeNormalsOnControlPoints(__attribute__((unused)) const Array<Real> & field,
	__attribute__((unused)) Array<Real> & normal,
	__attribute__((unused)) const ElementType & type,
	__attribute__((unused)) const GhostType & ghost_type = _not_ghost) const {
	AKANTU_DEBUG_TO_IMPLEMENT();
	}




	/// assemble vectors
	void assembleArray(const Array<Real> & elementary_vect,
	Array<Real> & nodal_values,
	const Array<Int> & equation_number,
	UInt nb_degree_of_freedom,
	const ElementType & type,
	const GhostType & ghost_type = _not_ghost,
	const Array<UInt> & filter_elements = empty_filter,
	Real scale_factor = 1) const;

	/// assemble matrix in the complete sparse matrix
	void assembleMatrix(const Array<Real> & elementary_mat,
	SparseMatrix & matrix,
	UInt nb_degree_of_freedom,
	const ElementType & type,
	const GhostType & ghost_type = _not_ghost,
	const Array<UInt> & filter_elements = empty_filter) const;


	/// assemble a field as a lumped matrix (ex. rho in lumped mass)
	virtual void assembleFieldLumped(__attribute__ ((unused)) const Array<Real> & field_1,
	__attribute__ ((unused)) UInt nb_degree_of_freedom,
	__attribute__ ((unused)) Array<Real> & lumped,
	__attribute__ ((unused)) const Array<Int> & equation_number,
	__attribute__ ((unused)) ElementType type,
	__attribute__ ((unused)) const GhostType & ghost_type) const {
	AKANTU_DEBUG_TO_IMPLEMENT();
	};


	/// assemble a field as a matrix (ex. rho to mass matrix)
	virtual void assembleFieldMatrix(__attribute__ ((unused)) const Array<Real> & field_1,
	__attribute__ ((unused)) UInt nb_degree_of_freedom,
	__attribute__ ((unused)) SparseMatrix & matrix,
	__attribute__ ((unused)) ElementType type,
	__attribute__ ((unused)) const GhostType & ghost_type) const {
	AKANTU_DEBUG_TO_IMPLEMENT();
	}


	#ifdef AKANTU_STRUCTURAL_MECHANICS

	virtual void assembleFieldMatrix(__attribute__ ((unused)) const Array<Real> & field_1,
	__attribute__ ((unused)) UInt nb_degree_of_freedom,
	__attribute__ ((unused)) SparseMatrix & M,
	__attribute__ ((unused)) Array<Real> * n,
	__attribute__ ((unused)) ElementTypeMapArray<Real> & rotation_mat,
	__attribute__ ((unused)) ElementType type,
	__attribute__ ((unused)) const GhostType & ghost_type) const {

	AKANTU_DEBUG_TO_IMPLEMENT();
	}

	virtual void computeShapesMatrix(__attribute__ ((unused))const ElementType & type,
	__attribute__ ((unused))UInt nb_degree_of_freedom,
	__attribute__ ((unused))UInt nb_nodes_per_element,
	__attribute__ ((unused))Array<Real> * n,
	__attribute__ ((unused))UInt id,
	__attribute__ ((unused))UInt degree_to_interpolate,
	__attribute__ ((unused))UInt degree_interpolated,
	__attribute__ ((unused))const bool sign,
	__attribute__ ((unused))const GhostType & ghost_type) const {

	AKANTU_DEBUG_TO_IMPLEMENT();
	}

	#endif

	/// function to print the containt of the class
	virtual void printself(std::ostream & stream, int indent = 0) const;

	private:
	/// initialise the class
	void init();

	/* ------------------------------------------------------------------------ */
	/* Accessors */
	/* ------------------------------------------------------------------------ */
	public:
	/// get the dimension of the element handeled by this fe_engine object
	AKANTU_GET_MACRO(ElementDimension, element_dimension, UInt);

	/// get the mesh contained in the fem object
	AKANTU_GET_MACRO(Mesh, mesh, const Mesh &);
	/// get the mesh contained in the fem object
	AKANTU_GET_MACRO_NOT_CONST(Mesh, mesh, Mesh &);

	/// get the in-radius of an element
	static inline Real getElementInradius(const Matrix<Real> & coord, const ElementType & type);

	/// get the normals on quadrature points
	AKANTU_GET_MACRO_BY_ELEMENT_TYPE_CONST(NormalsOnQuadPoints, normals_on_quad_points, Real);

	/// get cohesive element type for a given facet type
	static inline ElementType getCohesiveElementType(const ElementType & type_facet);

	/// get the interpolation element associated to an element type
	static inline InterpolationType getInterpolationType(const ElementType & el_type);


	virtual const ShapeFunctions & getShapeFunctionsInterface() const = 0;
	virtual const Integrator & getIntegratorInterface() const = 0;

	/* ------------------------------------------------------------------------ */
	/* Class Members */
	/* ------------------------------------------------------------------------ */
	protected:
	/// spatial dimension of the problem
	UInt element_dimension;

	/// the mesh on which all computation are made
	Mesh & mesh;

	/// normals at quadrature points
	ElementTypeMapArray<Real> normals_on_quad_points;

	};

	/* -------------------------------------------------------------------------- */
	/* inline functions */
	/* -------------------------------------------------------------------------- */

	/// standard output stream operator
	inline std::ostream & operator <<(std::ostream & stream, const FEEngine & _this)
	{
	_this.printself(stream);
	return stream;
	}


	/// standard output stream operator
	inline std::ostream & operator <<(std::ostream & stream, const QuadraturePoint & _this)
	{
	_this.printself(stream);
	return stream;
	}

	__END_AKANTU__

	#include "fe_engine_inline_impl.cc"
	#include "fe_engine_template.hh"

	#endif /* __AKANTU_FE_ENGINE_HH__ */

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