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fe_engine_template.hh
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			/**
			* @file fe_engine_template.hh
			*
			* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
			* @author Nicolas Richart <nicolas.richart@epfl.ch>
			*
			* @date creation: Fri Jun 18 2010
			* @date last modification: Mon Jan 29 2018
			*
			* @brief templated class that calls integration and shape objects
			*
			* @section LICENSE
			*
			* Copyright (©) 2010-2018 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_TEMPLATE_HH__
			#define __AKANTU_FE_ENGINE_TEMPLATE_HH__

			/* -------------------------------------------------------------------------- */
			#include "fe_engine.hh"
			#include "integrator.hh"
			#include "shape_functions.hh"
			/* -------------------------------------------------------------------------- */
			#include <type_traits>
			/* -------------------------------------------------------------------------- */

			namespace akantu {
			class DOFManager;
			namespace fe_engine {
			namespace details {
			template <ElementKind> struct AssembleLumpedTemplateHelper;
			template <ElementKind> struct AssembleFieldMatrixHelper;
			} // namespace details
			} // namespace fe_engine

			template <ElementKind, typename> struct AssembleFieldMatrixStructHelper;

			struct DefaultIntegrationOrderFunctor {
			template <ElementType type> static inline constexpr int getOrder() {
			return ElementClassProperty<type>::polynomial_degree;
			}
			};

			/* -------------------------------------------------------------------------- */
			template <template <ElementKind, class> class I, template <ElementKind> class S,
			ElementKind kind = _ek_regular,
			class IntegrationOrderFunctor = DefaultIntegrationOrderFunctor>
			class FEEngineTemplate : public FEEngine {
			/* ------------------------------------------------------------------------ */
			/* Constructors/Destructors */
			/* ------------------------------------------------------------------------ */
			public:
			using Integ = I<kind, IntegrationOrderFunctor>;
			using Shape = S<kind>;

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

			~FEEngineTemplate() override;

			/* ------------------------------------------------------------------------ */
			/* Methods */
			/* ------------------------------------------------------------------------ */
			public:
			/// pre-compute all the shape functions, their derivatives and the jacobians
			void initShapeFunctions(const GhostType & ghost_type = _not_ghost) override;
			void initShapeFunctions(const Array<Real> & nodes,
			const GhostType & ghost_type = _not_ghost);

			/* ------------------------------------------------------------------------ */
			/* Integration method bridges */
			/* ------------------------------------------------------------------------ */
			/// integrate f for all elements of type "type"
			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 override;

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

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

			/// integrate partially around an integration point (@f$ intf_q = f_q * J_q *
			/// w_q @f$)
			void integrateOnIntegrationPoints(
			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 override;

			/// interpolate on a phyiscal point inside an element
			void interpolate(const Vector<Real> & real_coords,
			const Matrix<Real> & nodal_values,
			Vector<Real> & interpolated,
			const Element & element) const override;

			/// get the number of integration points
			UInt getNbIntegrationPoints(
			const ElementType & type,
			const GhostType & ghost_type = _not_ghost) const override;

			/// get shapes precomputed
			const Array<Real> & getShapes(const ElementType & type,
			const GhostType & ghost_type = _not_ghost,
			UInt id = 0) const override;

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

			/// get integration points
			const inline Matrix<Real> & getIntegrationPoints(
			const ElementType & type,
			const GhostType & ghost_type = _not_ghost) const override;

			/* ------------------------------------------------------------------------ */
			/* Shape method bridges */
			/* ------------------------------------------------------------------------ */

			/// compute the gradient of a nodal field on the integration points
			void gradientOnIntegrationPoints(
			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 override;

			/// interpolate a nodal field on the integration points
			void interpolateOnIntegrationPoints(
			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 override;

			/// interpolate a nodal field on the integration points given a
			/// by_element_type
			void interpolateOnIntegrationPoints(
			const Array<Real> & u, ElementTypeMapArray<Real> & uq,
			const ElementTypeMapArray<UInt> * filter_elements =
			nullptr) const override;

			/// pre multiplies a tensor by the shapes derivaties
			void
			computeBtD(const Array<Real> & Ds, Array<Real> & BtDs,
			const ElementType & type, const GhostType & ghost_type,
			const Array<UInt> & filter_elements = empty_filter) const override;

			/// left and right multiplies a tensor by the shapes derivaties
			void computeBtDB(
			const Array<Real> & Ds, Array<Real> & BtDBs, UInt order_d,
			const ElementType & type, const GhostType & ghost_type,
			const Array<UInt> & filter_elements = empty_filter) const override;

			/// compute the position of integration points given by an element_type_map
			/// from nodes position
			inline void computeIntegrationPointsCoordinates(
			ElementTypeMapArray<Real> & quadrature_points_coordinates,
			const ElementTypeMapArray<UInt> * filter_elements =
			nullptr) const override;

			/// compute the position of integration points from nodes position
			inline void computeIntegrationPointsCoordinates(
			Array<Real> & quadrature_points_coordinates, const ElementType & type,
			const GhostType & ghost_type = _not_ghost,
			const Array<UInt> & filter_elements = empty_filter) const override;

			/// interpolate field at given position (interpolation_points) from given
			/// values of this field at integration points (field)
			inline void interpolateElementalFieldFromIntegrationPoints(
			const ElementTypeMapArray<Real> & field,
			const ElementTypeMapArray<Real> & interpolation_points_coordinates,
			ElementTypeMapArray<Real> & result, const GhostType ghost_type,
			const ElementTypeMapArray<UInt> * element_filter) const override;

			/// Interpolate field at given position from given values of this field at
			/// integration points (field)
			/// using matrices precomputed with
			/// initElementalFieldInterplationFromIntegrationPoints
			inline void interpolateElementalFieldFromIntegrationPoints(
			const ElementTypeMapArray<Real> & field,
			const ElementTypeMapArray<Real> &
			interpolation_points_coordinates_matrices,
			const ElementTypeMapArray<Real> & quad_points_coordinates_inv_matrices,
			ElementTypeMapArray<Real> & result, const GhostType ghost_type,
			const ElementTypeMapArray<UInt> * element_filter) const override;

			/// Build pre-computed matrices for interpolation of field form integration
			/// points at other given positions (interpolation_points)
			inline void initElementalFieldInterpolationFromIntegrationPoints(
			const ElementTypeMapArray<Real> & interpolation_points_coordinates,
			ElementTypeMapArray<Real> & interpolation_points_coordinates_matrices,
			ElementTypeMapArray<Real> & quad_points_coordinates_inv_matrices,
			const ElementTypeMapArray<UInt> * element_filter =
			nullptr) const override;

			/// find natural coords from real coords provided an element
			void inverseMap(const Vector<Real> & real_coords, UInt element,
			const ElementType & type, Vector<Real> & natural_coords,
			const GhostType & ghost_type = _not_ghost) const;

			/// return true if the coordinates provided are inside the element, false
			/// otherwise
			inline bool contains(const Vector<Real> & real_coords, UInt element,
			const ElementType & type,
			const GhostType & ghost_type = _not_ghost) const;

			/// compute the shape on a provided point
			inline void
			computeShapes(const Vector<Real> & real_coords, UInt element,
			const ElementType & type, Vector<Real> & shapes,
			const GhostType & ghost_type = _not_ghost) const override;

			/// compute the shape derivatives on a provided point
			inline void computeShapeDerivatives(
			const Vector<Real> & real__coords, UInt element, const ElementType & type,
			Matrix<Real> & shape_derivatives,
			const GhostType & ghost_type = _not_ghost) const override;

			/* ------------------------------------------------------------------------ */
			/* Other methods */
			/* ------------------------------------------------------------------------ */
			/// pre-compute normals on integration points
			void computeNormalsOnIntegrationPoints(
			const GhostType & ghost_type = _not_ghost) override;
			void computeNormalsOnIntegrationPoints(
			const Array<Real> & field,
			const GhostType & ghost_type = _not_ghost) override;
			void computeNormalsOnIntegrationPoints(
			const Array<Real> & field, Array<Real> & normal, const ElementType & type,
			const GhostType & ghost_type = _not_ghost) const override;
			template <ElementType type>
			void computeNormalsOnIntegrationPoints(const Array<Real> & field,
			Array<Real> & normal,
			const GhostType & ghost_type) const;

			private:
			// To avoid a weird full specialization of a method in a non specalized class
			void
			computeNormalsOnIntegrationPointsPoint1(const Array<Real> &,
			Array<Real> & normal,
			const GhostType & ghost_type) const;

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

			/// assemble a field as a lumped matrix (ex. rho in lumped mass)
			template <class Functor>
			void assembleFieldLumped(const Functor & field_funct, const ID & matrix_id,
			const ID & dof_id, DOFManager & dof_manager,
			ElementType type,
			const GhostType & ghost_type) const;

			/// assemble a field as a matrix (ex. rho to mass matrix)
			template <class Functor>
			void assembleFieldMatrix(const Functor & field_funct, const ID & matrix_id,
			const ID & dof_id, DOFManager & dof_manager,
			ElementType type,
			const GhostType & ghost_type) const;

			// #ifdef AKANTU_STRUCTURAL_MECHANICS
			// /// assemble a field as a matrix (ex. rho to mass matrix)
			// void assembleFieldMatrix(const Array<Real> & field_1,
			// UInt nb_degree_of_freedom, SparseMatrix & M,
			// Array<Real> * n,
			// ElementTypeMapArray<Real> & rotation_mat,
			// const ElementType & type,
			// const GhostType & ghost_type = _not_ghost) const;

			// /// compute shapes function in a matrix for structural elements
			// void
			// computeShapesMatrix(const ElementType & type, UInt nb_degree_of_freedom,
			// UInt nb_nodes_per_element, Array<Real> * n, UInt id,
			// UInt degree_to_interpolate, UInt degree_interpolated,
			// const bool sign,
			// const GhostType & ghost_type = _not_ghost) const override;
			// #endif

			private:
			friend struct fe_engine::details::AssembleLumpedTemplateHelper<kind>;
			friend struct fe_engine::details::AssembleFieldMatrixHelper<kind>;
			friend struct AssembleFieldMatrixStructHelper<kind, void>;

			/// templated function to compute the scaling to assemble a lumped matrix
			template <class Functor, ElementType type>
			void assembleFieldLumped(const Functor & field_funct, const ID & matrix_id,
			const ID & dof_id, DOFManager & dof_manager,
			const GhostType & ghost_type) const;

			/// @f$ \tilde{M}_{i} = \sum_j M_{ij} = \sum_j \int \rho \varphi_i \varphi_j
			/// dV = \int \rho \varphi_i dV @f$
			template <ElementType type>
			void assembleLumpedRowSum(const Array<Real> & field, const ID & matrix_id,
			const ID & dof_id, DOFManager & dof_manager,
			const GhostType & ghost_type) const;

			/// @f$ \tilde{M}_{i} = c * M_{ii} = \int_{V_e} \rho dV @f$
			template <ElementType type>
			void assembleLumpedDiagonalScaling(const Array<Real> & field,
			const ID & matrix_id, const ID & dof_id,
			DOFManager & dof_manager,
			const GhostType & ghost_type) const;

			/// assemble a field as a matrix (ex. rho to mass matrix)
			template <class Functor, ElementType type>
			void assembleFieldMatrix(const Functor & field_funct, const ID & matrix_id,
			const ID & dof_id, DOFManager & dof_manager,
			const GhostType & ghost_type) const;

			#ifdef AKANTU_STRUCTURAL_MECHANICS

			/// assemble a field as a matrix for structural elements (ex. rho to mass
			/// matrix)
			template <ElementType type>
			void assembleFieldMatrix(const Array<Real> & field_1,
			UInt nb_degree_of_freedom, SparseMatrix & M,
			Array<Real> * n,
			ElementTypeMapArray<Real> & rotation_mat,
			__attribute__((unused))
			const GhostType & ghost_type) const;

			#endif

			/* ------------------------------------------------------------------------ */
			/* Mesh Event Handler interface */
			/* ------------------------------------------------------------------------ */
			public:
			void onElementsAdded(const Array<Element> &,
			const NewElementsEvent &) override;
			void onElementsRemoved(const Array<Element> &,
			const ElementTypeMapArray<UInt> &,
			const RemovedElementsEvent &) override;
			void onElementsChanged(const Array<Element> &, const Array<Element> &,
			const ElementTypeMapArray<UInt> &,
			const ChangedElementsEvent &) override;

			/* ------------------------------------------------------------------------ */
			/* Accessors */
			/* ------------------------------------------------------------------------ */
			public:
			/// get the shape class (probably useless: see getShapeFunction)
			const ShapeFunctions & getShapeFunctionsInterface() const override {
			return shape_functions;
			};
			/// get the shape class
			const Shape & getShapeFunctions() const { return shape_functions; };

			/// get the integrator class (probably useless: see getIntegrator)
			const Integrator & getIntegratorInterface() const override {
			return integrator;
			};
			/// get the integrator class
			const Integ & getIntegrator() const { return integrator; };

			/* ------------------------------------------------------------------------ */
			/* Class Members */
			/* ------------------------------------------------------------------------ */
			private:
			Integ integrator;
			Shape shape_functions;
			};

			} // namespace akantu

			/* -------------------------------------------------------------------------- */
			/* inline functions */
			/* -------------------------------------------------------------------------- */
			#include "fe_engine_template_tmpl.hh"
			#include "fe_engine_template_tmpl_field.hh"
			/* -------------------------------------------------------------------------- */
			/* Shape Linked specialization */
			/* -------------------------------------------------------------------------- */
			#if defined(AKANTU_STRUCTURAL_MECHANICS)
			#include "fe_engine_template_tmpl_struct.hh"
			#endif
			/* -------------------------------------------------------------------------- */
			/* Shape IGFEM specialization */
			/* -------------------------------------------------------------------------- */
			#if defined(AKANTU_IGFEM)
			#include "fe_engine_template_tmpl_igfem.hh"
			#endif

			#endif /* __AKANTU_FE_ENGINE_TEMPLATE_HH__ */

rAKA/src/fe_engine/fe_engine_template.hh3996c21398fbbugfixes/39-the-python…

fe_engine_template.hhView Options

rAKA/src/fe_engine/fe_engine_template.hh
3996c21398fbbugfixes/39-the-python…

fe_engine_template.hh
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