Public Member Functions | Private Member Functions | List of all members
oomph::RefineableHelmholtzEquations< DIM > Class Template Reference

#include <refineable_helmholtz_elements.h>

+ Inheritance diagram for oomph::RefineableHelmholtzEquations< DIM >:

Public Member Functions

 RefineableHelmholtzEquations ()
 Constructor, simply call other constructors. More...
 
 RefineableHelmholtzEquations (const RefineableHelmholtzEquations< DIM > &dummy)=delete
 Broken copy constructor. More...
 
unsigned num_Z2_flux_terms ()
 Broken assignment operator. More...
 
void get_Z2_flux (const Vector< double > &s, Vector< double > &flux)
 
void get_interpolated_values (const Vector< double > &s, Vector< double > &values)
 
void get_interpolated_values (const unsigned &t, const Vector< double > &s, Vector< double > &values)
 
void further_build ()
 Further build: Copy source function pointer from father element. More...
 
- Public Member Functions inherited from oomph::HelmholtzEquations< DIM >
 HelmholtzEquations ()
 Constructor (must initialise the Source_fct_pt to null) More...
 
 HelmholtzEquations (const HelmholtzEquations &dummy)=delete
 Broken copy constructor. More...
 
virtual std::complex< unsigned > u_index_helmholtz () const
 Broken assignment operator. More...
 
double *& k_squared_pt ()
 Get pointer to square of wavenumber. More...
 
double k_squared ()
 Get the square of wavenumber. More...
 
unsigned nscalar_paraview () const
 
void scalar_value_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot) const
 
std::string scalar_name_paraview (const unsigned &i) const
 
void output (std::ostream &outfile)
 Output with default number of plot points. More...
 
void output (std::ostream &outfile, const unsigned &n_plot)
 
void output_real (std::ostream &outfile, const double &phi, const unsigned &n_plot)
 
void output (FILE *file_pt)
 C_style output with default number of plot points. More...
 
void output (FILE *file_pt, const unsigned &n_plot)
 
void output_fct (std::ostream &outfile, const unsigned &n_plot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)
 
virtual void output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)
 
void output_real_fct (std::ostream &outfile, const double &phi, const unsigned &n_plot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)
 
void compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)
 Get error against and norm of exact solution. More...
 
void compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)
 Dummy, time dependent error checker. More...
 
HelmholtzSourceFctPt & source_fct_pt ()
 Access function: Pointer to source function. More...
 
HelmholtzSourceFctPt source_fct_pt () const
 Access function: Pointer to source function. Const version. More...
 
virtual void get_source_helmholtz (const unsigned &ipt, const Vector< double > &x, std::complex< double > &source) const
 
void get_flux (const Vector< double > &s, Vector< std::complex< double >> &flux) const
 Get flux: flux[i] = du/dx_i for real and imag part. More...
 
void fill_in_contribution_to_residuals (Vector< double > &residuals)
 Add the element's contribution to its residual vector (wrapper) More...
 
void fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)
 
std::complex< double > interpolated_u_helmholtz (const Vector< double > &s) const
 
unsigned self_test ()
 Self-test: Return 0 for OK. More...
 
- Public Member Functions inherited from oomph::FiniteElement
void set_dimension (const unsigned &dim)
 
void set_nodal_dimension (const unsigned &nodal_dim)
 
void set_nnodal_position_type (const unsigned &nposition_type)
 Set the number of types required to interpolate the coordinate. More...
 
void set_n_node (const unsigned &n)
 
int nodal_local_eqn (const unsigned &n, const unsigned &i) const
 
double dJ_eulerian_at_knot (const unsigned &ipt, Shape &psi, DenseMatrix< double > &djacobian_dX) const
 
 FiniteElement ()
 Constructor. More...
 
virtual ~FiniteElement ()
 
 FiniteElement (const FiniteElement &)=delete
 Broken copy constructor. More...
 
virtual bool local_coord_is_valid (const Vector< double > &s)
 Broken assignment operator. More...
 
virtual void move_local_coord_back_into_element (Vector< double > &s) const
 
void get_centre_of_gravity_and_max_radius_in_terms_of_zeta (Vector< double > &cog, double &max_radius) const
 
virtual void local_coordinate_of_node (const unsigned &j, Vector< double > &s) const
 
virtual void local_fraction_of_node (const unsigned &j, Vector< double > &s_fraction)
 
virtual double local_one_d_fraction_of_node (const unsigned &n1d, const unsigned &i)
 
virtual void set_macro_elem_pt (MacroElement *macro_elem_pt)
 
MacroElement * macro_elem_pt ()
 Access function to pointer to macro element. More...
 
void get_x (const Vector< double > &s, Vector< double > &x) const
 
void get_x (const unsigned &t, const Vector< double > &s, Vector< double > &x)
 
virtual void get_x_from_macro_element (const Vector< double > &s, Vector< double > &x) const
 
virtual void get_x_from_macro_element (const unsigned &t, const Vector< double > &s, Vector< double > &x)
 
virtual void set_integration_scheme (Integral *const &integral_pt)
 Set the spatial integration scheme. More...
 
Integral *const & integral_pt () const
 Return the pointer to the integration scheme (const version) More...
 
virtual void shape (const Vector< double > &s, Shape &psi) const =0
 
virtual void shape_at_knot (const unsigned &ipt, Shape &psi) const
 
virtual void dshape_local (const Vector< double > &s, Shape &psi, DShape &dpsids) const
 
virtual void dshape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids) const
 
virtual void d2shape_local (const Vector< double > &s, Shape &psi, DShape &dpsids, DShape &d2psids) const
 
virtual void d2shape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids, DShape &d2psids) const
 
virtual double J_eulerian (const Vector< double > &s) const
 
virtual double J_eulerian_at_knot (const unsigned &ipt) const
 
void check_J_eulerian_at_knots (bool &passed) const
 
void check_jacobian (const double &jacobian) const
 
double dshape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx) const
 
virtual double dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx) const
 
virtual double dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsi, DenseMatrix< double > &djacobian_dX, RankFourTensor< double > &d_dpsidx_dX) const
 
double d2shape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx, DShape &d2psidx) const
 
virtual double d2shape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx, DShape &d2psidx) const
 
virtual void describe_local_dofs (std::ostream &out, const std::string &current_string) const
 
virtual void describe_nodal_local_dofs (std::ostream &out, const std::string &current_string) const
 
virtual void assign_all_generic_local_eqn_numbers (const bool &store_local_dof_pt)
 
Node *& node_pt (const unsigned &n)
 Return a pointer to the local node n. More...
 
Node *const & node_pt (const unsigned &n) const
 Return a pointer to the local node n (const version) More...
 
unsigned nnode () const
 Return the number of nodes. More...
 
virtual unsigned nnode_1d () const
 
double raw_nodal_position (const unsigned &n, const unsigned &i) const
 
double raw_nodal_position (const unsigned &t, const unsigned &n, const unsigned &i) const
 
double raw_dnodal_position_dt (const unsigned &n, const unsigned &i) const
 
double raw_dnodal_position_dt (const unsigned &n, const unsigned &j, const unsigned &i) const
 
double raw_nodal_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const
 
double raw_nodal_position_gen (const unsigned &t, const unsigned &n, const unsigned &k, const unsigned &i) const
 
double raw_dnodal_position_gen_dt (const unsigned &n, const unsigned &k, const unsigned &i) const
 
double raw_dnodal_position_gen_dt (const unsigned &j, const unsigned &n, const unsigned &k, const unsigned &i) const
 
double nodal_position (const unsigned &n, const unsigned &i) const
 
double nodal_position (const unsigned &t, const unsigned &n, const unsigned &i) const
 
double dnodal_position_dt (const unsigned &n, const unsigned &i) const
 Return the i-th component of nodal velocity: dx/dt at local node n. More...
 
double dnodal_position_dt (const unsigned &n, const unsigned &j, const unsigned &i) const
 
double nodal_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const
 
double nodal_position_gen (const unsigned &t, const unsigned &n, const unsigned &k, const unsigned &i) const
 
double dnodal_position_gen_dt (const unsigned &n, const unsigned &k, const unsigned &i) const
 
double dnodal_position_gen_dt (const unsigned &j, const unsigned &n, const unsigned &k, const unsigned &i) const
 
virtual void disable_ALE ()
 
virtual void enable_ALE ()
 
virtual unsigned required_nvalue (const unsigned &n) const
 
unsigned nnodal_position_type () const
 
bool has_hanging_nodes () const
 
unsigned nodal_dimension () const
 Return the required Eulerian dimension of the nodes in this element. More...
 
virtual Node * construct_node (const unsigned &n)
 
virtual Node * construct_node (const unsigned &n, TimeStepper *const &time_stepper_pt)
 
virtual Node * construct_boundary_node (const unsigned &n)
 
virtual Node * construct_boundary_node (const unsigned &n, TimeStepper *const &time_stepper_pt)
 
int get_node_number (Node *const &node_pt) const
 
virtual Node * get_node_at_local_coordinate (const Vector< double > &s) const
 
double raw_nodal_value (const unsigned &n, const unsigned &i) const
 
double raw_nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const
 
double nodal_value (const unsigned &n, const unsigned &i) const
 
double nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const
 
unsigned dim () const
 
virtual ElementGeometry::ElementGeometry element_geometry () const
 Return the geometry type of the element (either Q or T usually). More...
 
virtual double interpolated_x (const Vector< double > &s, const unsigned &i) const
 Return FE interpolated coordinate x[i] at local coordinate s. More...
 
virtual double interpolated_x (const unsigned &t, const Vector< double > &s, const unsigned &i) const
 
virtual void interpolated_x (const Vector< double > &s, Vector< double > &x) const
 Return FE interpolated position x[] at local coordinate s as Vector. More...
 
virtual void interpolated_x (const unsigned &t, const Vector< double > &s, Vector< double > &x) const
 
virtual double interpolated_dxdt (const Vector< double > &s, const unsigned &i, const unsigned &t)
 
virtual void interpolated_dxdt (const Vector< double > &s, const unsigned &t, Vector< double > &dxdt)
 
unsigned ngeom_data () const
 
Data * geom_data_pt (const unsigned &j)
 
void position (const Vector< double > &zeta, Vector< double > &r) const
 
void position (const unsigned &t, const Vector< double > &zeta, Vector< double > &r) const
 
void dposition_dt (const Vector< double > &zeta, const unsigned &t, Vector< double > &drdt)
 
virtual double zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const
 
void interpolated_zeta (const Vector< double > &s, Vector< double > &zeta) const
 
void locate_zeta (const Vector< double > &zeta, GeomObject *&geom_object_pt, Vector< double > &s, const bool &use_coordinate_as_initial_guess=false)
 
virtual void node_update ()
 
virtual void identify_geometric_data (std::set< Data * > &geometric_data_pt)
 
virtual double s_min () const
 Min value of local coordinate. More...
 
virtual double s_max () const
 Max. value of local coordinate. More...
 
double size () const
 
virtual double compute_physical_size () const
 
virtual void point_output_data (const Vector< double > &s, Vector< double > &data)
 
void point_output (std::ostream &outfile, const Vector< double > &s)
 
virtual unsigned nplot_points_paraview (const unsigned &nplot) const
 
virtual unsigned nsub_elements_paraview (const unsigned &nplot) const
 
void output_paraview (std::ofstream &file_out, const unsigned &nplot) const
 
virtual void write_paraview_output_offset_information (std::ofstream &file_out, const unsigned &nplot, unsigned &counter) const
 
virtual void write_paraview_type (std::ofstream &file_out, const unsigned &nplot) const
 
virtual void write_paraview_offsets (std::ofstream &file_out, const unsigned &nplot, unsigned &offset_sum) const
 
virtual void scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) const
 
virtual void scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) const
 
virtual void output (const unsigned &t, std::ostream &outfile, const unsigned &n_plot) const
 
virtual void output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, const SolutionFunctorBase &exact_soln) const
 Output a time-dependent exact solution over the element. More...
 
virtual void get_s_plot (const unsigned &i, const unsigned &nplot, Vector< double > &s, const bool &shifted_to_interior=false) const
 
virtual std::string tecplot_zone_string (const unsigned &nplot) const
 
virtual void write_tecplot_zone_footer (std::ostream &outfile, const unsigned &nplot) const
 
virtual void write_tecplot_zone_footer (FILE *file_pt, const unsigned &nplot) const
 
virtual unsigned nplot_points (const unsigned &nplot) const
 
virtual void compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)
 Calculate the norm of the error and that of the exact solution. More...
 
virtual void compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)
 Calculate the norm of the error and that of the exact solution. More...
 
virtual void compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm)
 
virtual void compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm)
 
virtual void compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm)
 
virtual void compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm)
 
virtual void compute_abs_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error)
 
void integrate_fct (FiniteElement::SteadyExactSolutionFctPt integrand_fct_pt, Vector< double > &integral)
 Integrate Vector-valued function over element. More...
 
void integrate_fct (FiniteElement::UnsteadyExactSolutionFctPt integrand_fct_pt, const double &time, Vector< double > &integral)
 Integrate Vector-valued time-dep function over element. More...
 
virtual void build_face_element (const int &face_index, FaceElement *face_element_pt)
 
virtual unsigned get_bulk_node_number (const int &face_index, const unsigned &i) const
 
virtual int face_outer_unit_normal_sign (const int &face_index) const
 Get the sign of the outer unit normal on the face given by face_index. More...
 
virtual unsigned nnode_on_face () const
 
void face_node_number_error_check (const unsigned &i) const
 Range check for face node numbers. More...
 
virtual CoordinateMappingFctPt face_to_bulk_coordinate_fct_pt (const int &face_index) const
 
virtual BulkCoordinateDerivativesFctPt bulk_coordinate_derivatives_fct_pt (const int &face_index) const
 
- Public Member Functions inherited from oomph::GeneralisedElement
 GeneralisedElement ()
 Constructor: Initialise all pointers and all values to zero. More...
 
virtual ~GeneralisedElement ()
 Virtual destructor to clean up any memory allocated by the object. More...
 
 GeneralisedElement (const GeneralisedElement &)=delete
 Broken copy constructor. More...
 
void operator= (const GeneralisedElement &)=delete
 Broken assignment operator. More...
 
Data *& internal_data_pt (const unsigned &i)
 Return a pointer to i-th internal data object. More...
 
Data *const & internal_data_pt (const unsigned &i) const
 Return a pointer to i-th internal data object (const version) More...
 
Data *& external_data_pt (const unsigned &i)
 Return a pointer to i-th external data object. More...
 
Data *const & external_data_pt (const unsigned &i) const
 Return a pointer to i-th external data object (const version) More...
 
unsigned long eqn_number (const unsigned &ieqn_local) const
 
int local_eqn_number (const unsigned long &ieqn_global) const
 
unsigned add_external_data (Data *const &data_pt, const bool &fd=true)
 
bool external_data_fd (const unsigned &i) const
 
void exclude_external_data_fd (const unsigned &i)
 
void include_external_data_fd (const unsigned &i)
 
void flush_external_data ()
 Flush all external data. More...
 
void flush_external_data (Data *const &data_pt)
 Flush the object addressed by data_pt from the external data array. More...
 
unsigned ninternal_data () const
 Return the number of internal data objects. More...
 
unsigned nexternal_data () const
 Return the number of external data objects. More...
 
unsigned ndof () const
 Return the number of equations/dofs in the element. More...
 
void dof_vector (const unsigned &t, Vector< double > &dof)
 Return the vector of dof values at time level t. More...
 
void dof_pt_vector (Vector< double * > &dof_pt)
 Return the vector of pointers to dof values. More...
 
void set_internal_data_time_stepper (const unsigned &i, TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)
 
void assign_internal_eqn_numbers (unsigned long &global_number, Vector< double * > &Dof_pt)
 
void describe_dofs (std::ostream &out, const std::string &current_string) const
 
void add_internal_value_pt_to_map (std::map< unsigned, double * > &map_of_value_pt)
 
virtual void assign_local_eqn_numbers (const bool &store_local_dof_pt)
 
virtual void complete_setup_of_dependencies ()
 
virtual void get_residuals (Vector< double > &residuals)
 
virtual void get_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)
 
virtual void get_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix)
 
virtual void get_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix)
 
virtual void get_dresiduals_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam)
 
virtual void get_djacobian_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam)
 
virtual void get_djacobian_and_dmass_matrix_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam)
 
virtual void get_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product)
 
virtual void get_inner_products (Vector< std::pair< unsigned, unsigned >> const &history_index, Vector< double > &inner_product)
 
virtual void get_inner_product_vectors (Vector< unsigned > const &history_index, Vector< Vector< double >> &inner_product_vector)
 
virtual void compute_norm (Vector< double > &norm)
 
virtual void compute_norm (double &norm)
 
virtual unsigned ndof_types () const
 
virtual void get_dof_numbers_for_unknowns (std::list< std::pair< unsigned long, unsigned >> &dof_lookup_list) const
 
- Public Member Functions inherited from oomph::GeomObject
 GeomObject ()
 Default constructor. More...
 
 GeomObject (const unsigned &ndim)
 
 GeomObject (const unsigned &nlagrangian, const unsigned &ndim)
 
 GeomObject (const unsigned &nlagrangian, const unsigned &ndim, TimeStepper *time_stepper_pt)
 
 GeomObject (const GeomObject &dummy)=delete
 Broken copy constructor. More...
 
void operator= (const GeomObject &)=delete
 Broken assignment operator. More...
 
virtual ~GeomObject ()
 (Empty) destructor More...
 
unsigned nlagrangian () const
 Access function to # of Lagrangian coordinates. More...
 
unsigned ndim () const
 Access function to # of Eulerian coordinates. More...
 
void set_nlagrangian_and_ndim (const unsigned &n_lagrangian, const unsigned &n_dim)
 Set # of Lagrangian and Eulerian coordinates. More...
 
TimeStepper *& time_stepper_pt ()
 
TimeStepper * time_stepper_pt () const
 
virtual void position (const double &t, const Vector< double > &zeta, Vector< double > &r) const
 
virtual void dposition (const Vector< double > &zeta, DenseMatrix< double > &drdzeta) const
 
virtual void d2position (const Vector< double > &zeta, RankThreeTensor< double > &ddrdzeta) const
 
virtual void d2position (const Vector< double > &zeta, Vector< double > &r, DenseMatrix< double > &drdzeta, RankThreeTensor< double > &ddrdzeta) const
 
- Public Member Functions inherited from oomph::RefineableElement
 RefineableElement ()
 
virtual ~RefineableElement ()
 Destructor, delete the allocated storage for the hanging equations. More...
 
 RefineableElement (const RefineableElement &)=delete
 Broken copy constructor. More...
 
void operator= (const RefineableElement &)=delete
 Broken assignment operator. More...
 
Tree * tree_pt ()
 Access function: Pointer to quadtree representation of this element. More...
 
void set_tree_pt (Tree *my_tree_pt)
 Set pointer to quadtree representation of this element. More...
 
virtual unsigned required_nsons () const
 
bool refinement_is_enabled ()
 Flag to indicate suppression of any refinement. More...
 
void disable_refinement ()
 Suppress of any refinement for this element. More...
 
void enable_refinement ()
 Emnable refinement for this element. More...
 
template<class ELEMENT >
void split (Vector< ELEMENT * > &son_pt) const
 
int local_hang_eqn (Node *const &node_pt, const unsigned &i)
 
virtual void build (Mesh *&mesh_pt, Vector< Node * > &new_node_pt, bool &was_already_built, std::ofstream &new_nodes_file)=0
 
void set_refinement_level (const int &refine_level)
 Set the refinement level. More...
 
unsigned refinement_level () const
 Return the Refinement level. More...
 
void select_for_refinement ()
 Select the element for refinement. More...
 
void deselect_for_refinement ()
 Deselect the element for refinement. More...
 
void select_sons_for_unrefinement ()
 Unrefinement will be performed by merging the four sons of this element. More...
 
void deselect_sons_for_unrefinement ()
 
bool to_be_refined ()
 Has the element been selected for refinement? More...
 
bool sons_to_be_unrefined ()
 Has the element been selected for unrefinement? More...
 
virtual void rebuild_from_sons (Mesh *&mesh_pt)=0
 
virtual void unbuild ()
 
virtual void deactivate_element ()
 
virtual bool nodes_built ()
 Return true if all the nodes have been built, false if not. More...
 
long number () const
 Element number (for debugging/plotting) More...
 
void set_number (const long &mynumber)
 Set element number (for debugging/plotting) More...
 
virtual unsigned ncont_interpolated_values () const =0
 
virtual Node * interpolating_node_pt (const unsigned &n, const int &value_id)
 
virtual double local_one_d_fraction_of_interpolating_node (const unsigned &n1d, const unsigned &i, const int &value_id)
 
virtual Node * get_interpolating_node_at_local_coordinate (const Vector< double > &s, const int &value_id)
 
virtual unsigned ninterpolating_node (const int &value_id)
 
virtual unsigned ninterpolating_node_1d (const int &value_id)
 
virtual void interpolating_basis (const Vector< double > &s, Shape &psi, const int &value_id) const
 
virtual void check_integrity (double &max_error)=0
 
void identify_field_data_for_interactions (std::set< std::pair< Data *, unsigned >> &paired_field_data)
 
void assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt)
 
virtual RefineableElement * root_element_pt ()
 
virtual RefineableElement * father_element_pt () const
 Return a pointer to the father element. More...
 
void get_father_at_refinement_level (unsigned &refinement_level, RefineableElement *&father_at_reflevel_pt)
 
virtual void initial_setup (Tree *const &adopted_father_pt=0, const unsigned &initial_p_order=0)
 
virtual void pre_build (Mesh *&mesh_pt, Vector< Node * > &new_node_pt)
 Pre-build the element. More...
 
virtual void setup_hanging_nodes (Vector< std::ofstream * > &output_stream)
 
virtual void further_setup_hanging_nodes ()
 
void get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates)
 
unsigned nshape_controlling_nodes ()
 
std::map< Node *, unsigned > shape_controlling_node_lookup ()
 
- Public Member Functions inherited from oomph::ElementWithZ2ErrorEstimator
 ElementWithZ2ErrorEstimator ()
 Default empty constructor. More...
 
 ElementWithZ2ErrorEstimator (const ElementWithZ2ErrorEstimator &)=delete
 Broken copy constructor. More...
 
void operator= (const ElementWithZ2ErrorEstimator &)=delete
 Broken assignment operator. More...
 
virtual unsigned ncompound_fluxes ()
 
virtual void compute_exact_Z2_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_flux_pt, double &error, double &norm)
 
virtual void get_Z2_compound_flux_indices (Vector< unsigned > &flux_index)
 
virtual unsigned nvertex_node () const =0
 Number of vertex nodes in the element. More...
 
virtual Node * vertex_node_pt (const unsigned &j) const =0
 
virtual unsigned nrecovery_order ()=0
 Order of recovery shape functions. More...
 
virtual double geometric_jacobian (const Vector< double > &x)
 

Private Member Functions

void fill_in_generic_residual_contribution_helmholtz (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag)
 

Additional Inherited Members

- Public Types inherited from oomph::HelmholtzEquations< DIM >
typedef void(* HelmholtzSourceFctPt) (const Vector< double > &x, std::complex< double > &f)
 
- Public Types inherited from oomph::FiniteElement
typedef void(* SteadyExactSolutionFctPt) (const Vector< double > &, Vector< double > &)
 
typedef void(* UnsteadyExactSolutionFctPt) (const double &, const Vector< double > &, Vector< double > &)
 
- Static Public Member Functions inherited from oomph::RefineableElement
static double & max_integrity_tolerance ()
 Max. allowed discrepancy in element integrity check. More...
 
- Static Public Attributes inherited from oomph::FiniteElement
static double Tolerance_for_singular_jacobian = 1.0e-16
 Tolerance below which the jacobian is considered singular. More...
 
static bool Accept_negative_jacobian = false
 
static bool Suppress_output_while_checking_for_inverted_elements
 
- Static Public Attributes inherited from oomph::GeneralisedElement
static bool Suppress_warning_about_repeated_internal_data
 
static bool Suppress_warning_about_repeated_external_data = true
 
static double Default_fd_jacobian_step = 1.0e-8
 
- Protected Member Functions inherited from oomph::HelmholtzEquations< DIM >
virtual double dshape_and_dtest_eulerian_helmholtz (const Vector< double > &s, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const =0
 
virtual double dshape_and_dtest_eulerian_at_knot_helmholtz (const unsigned &ipt, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const =0
 
- Protected Member Functions inherited from oomph::FiniteElement
template<unsigned DIM>
double invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
 
virtual double invert_jacobian_mapping (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
 
virtual double local_to_eulerian_mapping (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
 
double local_to_eulerian_mapping (const DShape &dpsids, DenseMatrix< double > &inverse_jacobian) const
 
virtual void dJ_eulerian_dnodal_coordinates (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const
 
template<unsigned DIM>
void dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const
 
virtual void d_dshape_eulerian_dnodal_coordinates (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const
 
template<unsigned DIM>
void d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const
 
virtual void transform_derivatives (const DenseMatrix< double > &inverse_jacobian, DShape &dbasis) const
 
void transform_derivatives_diagonal (const DenseMatrix< double > &inverse_jacobian, DShape &dbasis) const
 
virtual void transform_second_derivatives (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const
 
template<unsigned DIM>
void transform_second_derivatives_template (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const
 
template<unsigned DIM>
void transform_second_derivatives_diagonal (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const
 
void fill_in_jacobian_from_nodal_by_fd (DenseMatrix< double > &jacobian)
 
virtual void update_before_nodal_fd ()
 
virtual void reset_after_nodal_fd ()
 
virtual void update_in_nodal_fd (const unsigned &i)
 
virtual void reset_in_nodal_fd (const unsigned &i)
 
template<>
double invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
 Zero-d specialisation of function to calculate inverse of jacobian mapping. More...
 
template<>
double invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
 One-d specialisation of function to calculate inverse of jacobian mapping. More...
 
template<>
double invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
 Two-d specialisation of function to calculate inverse of jacobian mapping. More...
 
template<>
double invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
 
template<>
void dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const
 
template<>
void dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const
 
template<>
void dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const
 
template<>
void dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const
 
template<>
void d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const
 
template<>
void d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const
 
template<>
void d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const
 
template<>
void d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const
 
template<>
void transform_second_derivatives_template (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const
 
template<>
void transform_second_derivatives_template (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const
 
template<>
void transform_second_derivatives_diagonal (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const
 
template<>
void transform_second_derivatives_diagonal (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const
 
- Protected Member Functions inherited from oomph::GeneralisedElement
unsigned add_internal_data (Data *const &data_pt, const bool &fd=true)
 
bool internal_data_fd (const unsigned &i) const
 
void exclude_internal_data_fd (const unsigned &i)
 
void include_internal_data_fd (const unsigned &i)
 
void clear_global_eqn_numbers ()
 
void add_global_eqn_numbers (std::deque< unsigned long > const &global_eqn_numbers, std::deque< double * > const &global_dof_pt)
 
virtual void assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt)
 
virtual void assign_additional_local_eqn_numbers ()
 
int internal_local_eqn (const unsigned &i, const unsigned &j) const
 
int external_local_eqn (const unsigned &i, const unsigned &j)
 
void fill_in_jacobian_from_internal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false)
 
void fill_in_jacobian_from_internal_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false)
 
void fill_in_jacobian_from_external_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false)
 
void fill_in_jacobian_from_external_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false)
 
virtual void update_before_internal_fd ()
 
virtual void reset_after_internal_fd ()
 
virtual void update_in_internal_fd (const unsigned &i)
 
virtual void reset_in_internal_fd (const unsigned &i)
 
virtual void update_before_external_fd ()
 
virtual void reset_after_external_fd ()
 
virtual void update_in_external_fd (const unsigned &i)
 
virtual void reset_in_external_fd (const unsigned &i)
 
virtual void fill_in_contribution_to_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix)
 
virtual void fill_in_contribution_to_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix)
 
virtual void fill_in_contribution_to_dresiduals_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam)
 
virtual void fill_in_contribution_to_djacobian_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam)
 
virtual void fill_in_contribution_to_djacobian_and_dmass_matrix_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam)
 
virtual void fill_in_contribution_to_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product)
 
virtual void fill_in_contribution_to_inner_products (Vector< std::pair< unsigned, unsigned >> const &history_index, Vector< double > &inner_product)
 
virtual void fill_in_contribution_to_inner_product_vectors (Vector< unsigned > const &history_index, Vector< Vector< double >> &inner_product_vector)
 
- Protected Member Functions inherited from oomph::RefineableElement
void assemble_local_to_eulerian_jacobian (const DShape &dpsids, DenseMatrix< double > &jacobian) const
 
void assemble_local_to_eulerian_jacobian2 (const DShape &d2psids, DenseMatrix< double > &jacobian2) const
 
void assemble_eulerian_base_vectors (const DShape &dpsids, DenseMatrix< double > &interpolated_G) const
 
double local_to_eulerian_mapping_diagonal (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
 
void assign_hanging_local_eqn_numbers (const bool &store_local_dof_pt)
 Assign the local equation numbers for hanging node variables. More...
 
virtual void fill_in_jacobian_from_nodal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian)
 
- Static Protected Member Functions inherited from oomph::RefineableElement
static void check_value_id (const int &n_continuously_interpolated_values, const int &value_id)
 
- Protected Attributes inherited from oomph::HelmholtzEquations< DIM >
HelmholtzSourceFctPt Source_fct_pt
 Pointer to source function: More...
 
double * K_squared_pt
 Pointer to square of wavenumber. More...
 
- Protected Attributes inherited from oomph::FiniteElement
MacroElement * Macro_elem_pt
 Pointer to the element's macro element (NULL by default) More...
 
- Protected Attributes inherited from oomph::GeomObject
unsigned NLagrangian
 Number of Lagrangian (intrinsic) coordinates. More...
 
unsigned Ndim
 Number of Eulerian coordinates. More...
 
TimeStepper * Geom_object_time_stepper_pt
 
- Protected Attributes inherited from oomph::RefineableElement
Tree * Tree_pt
 A pointer to a general tree object. More...
 
unsigned Refine_level
 Refinement level. More...
 
bool To_be_refined
 Flag for refinement. More...
 
bool Refinement_is_enabled
 Flag to indicate suppression of any refinement. More...
 
bool Sons_to_be_unrefined
 Flag for unrefinement. More...
 
long Number
 Global element number – for plotting/validation purposes. More...
 
- Static Protected Attributes inherited from oomph::FiniteElement
static const unsigned Default_Initial_Nvalue = 0
 Default value for the number of values at a node. More...
 
static const double Node_location_tolerance = 1.0e-14
 
static const unsigned N2deriv [] = {0, 1, 3, 6}
 
- Static Protected Attributes inherited from oomph::GeneralisedElement
static DenseMatrix< double > Dummy_matrix
 
static std::deque< double * > Dof_pt_deque
 
- Static Protected Attributes inherited from oomph::RefineableElement
static double Max_integrity_tolerance = 1.0e-8
 Max. allowed discrepancy in element integrity check. More...
 

Detailed Description

template<unsigned DIM>
class oomph::RefineableHelmholtzEquations< DIM >

//////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// Refineable version of Helmholtz equations

Constructor & Destructor Documentation

◆ RefineableHelmholtzEquations() [1/2]

template<unsigned DIM>
oomph::RefineableHelmholtzEquations< DIM >::RefineableHelmholtzEquations ( )
inline

Constructor, simply call other constructors.

65  : HelmholtzEquations<DIM>(),
66  RefineableElement(),
67  ElementWithZ2ErrorEstimator()
68  {
69  }
oomph::ElementWithZ2ErrorEstimator::ElementWithZ2ErrorEstimator
ElementWithZ2ErrorEstimator()
Default empty constructor.
Definition: error_estimator.h:82
oomph::RefineableElement::RefineableElement
RefineableElement()
Definition: refineable_elements.h:188

◆ RefineableHelmholtzEquations() [2/2]

template<unsigned DIM>
oomph::RefineableHelmholtzEquations< DIM >::RefineableHelmholtzEquations ( const RefineableHelmholtzEquations< DIM > &  dummy)
delete

Broken copy constructor.

Member Function Documentation

◆ fill_in_generic_residual_contribution_helmholtz()

template<unsigned DIM>
void oomph::RefineableHelmholtzEquations< DIM >::fill_in_generic_residual_contribution_helmholtz ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian,
const unsigned &  flag 
)
privatevirtual

Add element's contribution to elemental residual vector and/or Jacobian matrix flag=1: compute both flag=0: compute only residual vector

Add element's contribution to the elemental residual vector and/or Jacobian matrix. flag=1: compute both flag=0: compute only residual vector

Reimplemented from oomph::HelmholtzEquations< DIM >.

43  {
44  // Find out how many nodes there are in the element
45  unsigned n_node = nnode();
46 
47  // Set up memory for the shape and test functions
48  Shape psi(n_node), test(n_node);
49  DShape dpsidx(n_node, DIM), dtestdx(n_node, DIM);
50 
51  // Set the value of n_intpt
52  unsigned n_intpt = integral_pt()->nweight();
53 
54  // Integers to store the local equation and unknown numbers
55  int local_eqn_real = 0, local_unknown_real = 0;
56  int local_eqn_imag = 0, local_unknown_imag = 0;
57 
58  // Local storage for pointers to hang_info objects
59  HangInfo *hang_info_pt = 0, *hang_info2_pt = 0;
60 
61  // Loop over the integration points
62  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
63  {
64  // Get the integral weight
65  double w = integral_pt()->weight(ipt);
66 
67  // Call the derivatives of the shape and test functions
68  double J = this->dshape_and_dtest_eulerian_at_knot_helmholtz(
69  ipt, psi, dpsidx, test, dtestdx);
70 
71  // Premultiply the weights and the Jacobian
72  double W = w * J;
73 
74  // Position and gradient
75  std::complex<double> interpolated_u(0.0, 0.0);
76  Vector<double> interpolated_x(DIM, 0.0);
77  Vector<std::complex<double>> interpolated_dudx(DIM);
78 
79  // Calculate function value and derivatives:
80  //-----------------------------------------
81 
82  // Loop over nodes
83  for (unsigned l = 0; l < n_node; l++)
84  {
85  // Loop over directions
86  for (unsigned j = 0; j < DIM; j++)
87  {
88  interpolated_x[j] += nodal_position(l, j) * psi(l);
89  }
90  // Get the nodal value of the helmholtz unknown
91  const std::complex<double> u_value(
92  nodal_value(l, this->u_index_helmholtz().real()),
93  nodal_value(l, this->u_index_helmholtz().imag()));
94  // Add to the interpolated value
95  interpolated_u += u_value * psi(l);
96 
97  // Loop over directions
98  for (unsigned j = 0; j < DIM; j++)
99  {
100  interpolated_dudx[j] += u_value * dpsidx(l, j);
101  }
102  }
103 
104  // Get body force
105  std::complex<double> source(0.0, 0.0);
106  this->get_source_helmholtz(ipt, interpolated_x, source);
107 
108 
109  // Assemble residuals and Jacobian
110 
111  // Loop over the nodes for the test functions
112  for (unsigned l = 0; l < n_node; l++)
113  {
114  // Local variables used to store the number of master nodes and the
115  // weight associated with the shape function if the node is hanging
116  unsigned n_master = 1;
117  double hang_weight = 1.0;
118 
119  // Local bool (is the node hanging)
120  bool is_node_hanging = this->node_pt(l)->is_hanging();
121 
122  // If the node is hanging, get the number of master nodes
123  if (is_node_hanging)
124  {
125  hang_info_pt = this->node_pt(l)->hanging_pt();
126  n_master = hang_info_pt->nmaster();
127  }
128  // Otherwise there is just one master node, the node itself
129  else
130  {
131  n_master = 1;
132  }
133 
134  // Loop over the master nodes
135  for (unsigned m = 0; m < n_master; m++)
136  {
137  // Get the local equation number and hang_weight
138  // If the node is hanging
139  if (is_node_hanging)
140  {
141  // Read out the local equation number from the m-th master node
142  local_eqn_real =
143  this->local_hang_eqn(hang_info_pt->master_node_pt(m),
144  this->u_index_helmholtz().real());
145  local_eqn_imag =
146  this->local_hang_eqn(hang_info_pt->master_node_pt(m),
147  this->u_index_helmholtz().imag());
148 
149  // Read out the weight from the master node
150  hang_weight = hang_info_pt->master_weight(m);
151  }
152  // If the node is not hanging
153  else
154  {
155  // The local equation number comes from the node itself
156  local_eqn_real =
157  this->nodal_local_eqn(l, this->u_index_helmholtz().real());
158  local_eqn_imag =
159  this->nodal_local_eqn(l, this->u_index_helmholtz().imag());
160 
161  // The hang weight is one
162  hang_weight = 1.0;
163  }
164 
165  // If the nodal equation is not a boundary condition
166  if (local_eqn_real >= 0)
167  {
168  // Add body force/source term here and Helmholtz bit
169  residuals[local_eqn_real] +=
170  (source.real() - this->k_squared() * interpolated_u.real()) *
171  test(l) * W * hang_weight;
172 
173  // The Helmholtz bit itself
174  for (unsigned k = 0; k < DIM; k++)
175  {
176  residuals[local_eqn_real] +=
177  interpolated_dudx[k].real() * dtestdx(l, k) * W * hang_weight;
178  }
179 
180  // Calculate the Jacobian
181  if (flag)
182  {
183  // Local variables to store the number of master nodes
184  // and the weights associated with each hanging node
185  unsigned n_master2 = 1;
186  double hang_weight2 = 1.0;
187 
188  // Loop over the nodes for the variables
189  for (unsigned l2 = 0; l2 < n_node; l2++)
190  {
191  // Local bool (is the node hanging)
192  bool is_node2_hanging = this->node_pt(l2)->is_hanging();
193 
194  // If the node is hanging, get the number of master nodes
195  if (is_node2_hanging)
196  {
197  hang_info2_pt = this->node_pt(l2)->hanging_pt();
198  n_master2 = hang_info2_pt->nmaster();
199  }
200  // Otherwise there is one master node, the node itself
201  else
202  {
203  n_master2 = 1;
204  }
205 
206  // Loop over the master nodes
207  for (unsigned m2 = 0; m2 < n_master2; m2++)
208  {
209  // Get the local unknown and weight
210  // If the node is hanging
211  if (is_node2_hanging)
212  {
213  // Read out the local unknown from the master node
214  local_unknown_real =
215  this->local_hang_eqn(hang_info2_pt->master_node_pt(m2),
216  this->u_index_helmholtz().real());
217 
218  // Read out the hanging weight from the master node
219  hang_weight2 = hang_info2_pt->master_weight(m2);
220  }
221  // If the node is not hanging
222  else
223  {
224  // The local unknown number comes from the node
225  local_unknown_real = this->nodal_local_eqn(
226  l2, this->u_index_helmholtz().real());
227 
228  // The hang weight is one
229  hang_weight2 = 1.0;
230  }
231 
232  // If the unknown is not pinned
233  if (local_unknown_real >= 0)
234  {
235  // Add contribution to Elemental Matrix
236  for (unsigned i = 0; i < DIM; i++)
237  {
238  jacobian(local_eqn_real, local_unknown_real) +=
239  dpsidx(l2, i) * dtestdx(l, i) * W * hang_weight *
240  hang_weight2;
241  }
242 
243  // Add the helmholtz contribution
244  jacobian(local_eqn_real, local_unknown_real) -=
245  this->k_squared() * psi(l2) * test(l) * W * hang_weight *
246  hang_weight2;
247  }
248  } // End of loop over master nodes
249  } // End of loop over nodes
250  } // End of Jacobian calculation
251  } // End of case when residual equation is not pinned
252 
253 
254  if (local_eqn_imag >= 0)
255  {
256  // Add body force/source term here and Helmholtz bit
257  residuals[local_eqn_imag] +=
258  (source.imag() - this->k_squared() * interpolated_u.imag()) *
259  test(l) * W * hang_weight;
260 
261  // The Helmholtz bit itself
262  for (unsigned k = 0; k < DIM; k++)
263  {
264  residuals[local_eqn_imag] +=
265  interpolated_dudx[k].imag() * dtestdx(l, k) * W * hang_weight;
266  }
267 
268  // Calculate the Jacobian
269  if (flag)
270  {
271  // Local variables to store the number of master nodes
272  // and the weights associated with each hanging node
273  unsigned n_master2 = 1;
274  double hang_weight2 = 1.0;
275 
276  // Loop over the nodes for the variables
277  for (unsigned l2 = 0; l2 < n_node; l2++)
278  {
279  // Local bool (is the node hanging)
280  bool is_node2_hanging = this->node_pt(l2)->is_hanging();
281 
282  // If the node is hanging, get the number of master nodes
283  if (is_node2_hanging)
284  {
285  hang_info2_pt = this->node_pt(l2)->hanging_pt();
286  n_master2 = hang_info2_pt->nmaster();
287  }
288  // Otherwise there is one master node, the node itself
289  else
290  {
291  n_master2 = 1;
292  }
293 
294  // Loop over the master nodes
295  for (unsigned m2 = 0; m2 < n_master2; m2++)
296  {
297  // Get the local unknown and weight
298  // If the node is hanging
299  if (is_node2_hanging)
300  {
301  // Read out the local unknown from the master node
302  local_unknown_imag =
303  this->local_hang_eqn(hang_info2_pt->master_node_pt(m2),
304  this->u_index_helmholtz().imag());
305 
306  // Read out the hanging weight from the master node
307  hang_weight2 = hang_info2_pt->master_weight(m2);
308  }
309  // If the node is not hanging
310  else
311  {
312  // The local unknown number comes from the node
313 
314  local_unknown_imag = this->nodal_local_eqn(
315  l2, this->u_index_helmholtz().imag());
316 
317  // The hang weight is one
318  hang_weight2 = 1.0;
319  }
320 
321  if (local_unknown_imag >= 0)
322  {
323  // Add contribution to Elemental Matrix
324  for (unsigned i = 0; i < DIM; i++)
325  {
326  jacobian(local_eqn_imag, local_unknown_imag) +=
327  dpsidx(l2, i) * dtestdx(l, i) * W * hang_weight *
328  hang_weight2;
329  }
330 
331  // Add the helmholtz contribution
332  jacobian(local_eqn_imag, local_unknown_imag) -=
333  this->k_squared() * psi(l2) * test(l) * W * hang_weight *
334  hang_weight2;
335  }
336  } // End of loop over master nodes
337  } // End of loop over nodes
338  } // End of Jacobian calculation
339  }
340  } // End of loop over master nodes for residual
341  } // End of loop over nodes
342 
343  } // End of loop over integration points
344  }
imag
AnnoyingScalar imag(const AnnoyingScalar &)
Definition: AnnoyingScalar.h:132
i
int i
Definition: BiCGSTAB_step_by_step.cpp:9
J
JacobiRotation< float > J
Definition: Jacobi_makeJacobi.cpp:3
w
RowVector3d w
Definition: Matrix_resize_int.cpp:3
m2
MatrixType m2(n_dims)
oomph::FiniteElement::node_pt
Node *& node_pt(const unsigned &n)
Return a pointer to the local node n.
Definition: elements.h:2175
oomph::FiniteElement::nodal_value
double nodal_value(const unsigned &n, const unsigned &i) const
Definition: elements.h:2593
oomph::FiniteElement::interpolated_x
virtual double interpolated_x(const Vector< double > &s, const unsigned &i) const
Return FE interpolated coordinate x[i] at local coordinate s.
Definition: elements.cc:3962
oomph::FiniteElement::nodal_local_eqn
int nodal_local_eqn(const unsigned &n, const unsigned &i) const
Definition: elements.h:1432
oomph::FiniteElement::nnode
unsigned nnode() const
Return the number of nodes.
Definition: elements.h:2210
oomph::FiniteElement::integral_pt
Integral *const & integral_pt() const
Return the pointer to the integration scheme (const version)
Definition: elements.h:1963
oomph::FiniteElement::nodal_position
double nodal_position(const unsigned &n, const unsigned &i) const
Definition: elements.h:2317
oomph::HelmholtzEquations::u_index_helmholtz
virtual std::complex< unsigned > u_index_helmholtz() const
Broken assignment operator.
Definition: helmholtz_elements.h:80
oomph::HelmholtzEquations::dshape_and_dtest_eulerian_at_knot_helmholtz
virtual double dshape_and_dtest_eulerian_at_knot_helmholtz(const unsigned &ipt, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const =0
oomph::HelmholtzEquations::get_source_helmholtz
virtual void get_source_helmholtz(const unsigned &ipt, const Vector< double > &x, std::complex< double > &source) const
Definition: helmholtz_elements.h:292
oomph::HelmholtzEquations::k_squared
double k_squared()
Get the square of wavenumber.
Definition: helmholtz_elements.h:94
oomph::Integral::nweight
virtual unsigned nweight() const =0
Return the number of integration points of the scheme.
oomph::Integral::weight
virtual double weight(const unsigned &i) const =0
Return weight of i-th integration point.
oomph::Node::hanging_pt
HangInfo *const & hanging_pt() const
Definition: nodes.h:1228
oomph::Node::is_hanging
bool is_hanging() const
Test whether the node is geometrically hanging.
Definition: nodes.h:1285
oomph::RefineableElement::local_hang_eqn
int local_hang_eqn(Node *const &node_pt, const unsigned &i)
Definition: refineable_elements.h:278
real
float real
Definition: datatypes.h:10
m
int * m
Definition: level2_cplx_impl.h:294
k
char char char int int * k
Definition: level2_impl.h:374
DIM
#define DIM
Definition: linearised_navier_stokes_elements.h:44
Eigen::test
squared absolute sa ArrayBase::abs2 DOXCOMMA MatrixBase::cwiseAbs2 sa Eigen::abs2 DOXCOMMA Eigen::pow DOXCOMMA ArrayBase::square nearest sa Eigen::floor DOXCOMMA Eigen::ceil DOXCOMMA ArrayBase::round nearest integer not less than the given sa Eigen::floor DOXCOMMA ArrayBase::ceil not a number test
Definition: GlobalFunctions.h:109
TestProblem::source
void source(const Vector< double > &x, Vector< double > &f)
Source function.
Definition: unstructured_two_d_circle.cc:46
oomph::QuadTreeNames::W
@ W
Definition: quadtree.h:63
test
Definition: indexed_view.cpp:20
j
std::ptrdiff_t j
Definition: tut_arithmetic_redux_minmax.cpp:2

References DIM, i, imag(), J, j, k, m, m2(), oomph::HangInfo::master_node_pt(), oomph::HangInfo::master_weight(), oomph::HangInfo::nmaster(), TestProblem::source(), Eigen::test, w, and oomph::QuadTreeNames::W.

◆ further_build()

template<unsigned DIM>
void oomph::RefineableHelmholtzEquations< DIM >::further_build ( )
inlinevirtual

Further build: Copy source function pointer from father element.

Reimplemented from oomph::RefineableElement.

163  {
164  this->Source_fct_pt = dynamic_cast<RefineableHelmholtzEquations<DIM>*>(
165  this->father_element_pt())
166  ->source_fct_pt();
167 
168  this->K_squared_pt = dynamic_cast<RefineableHelmholtzEquations<DIM>*>(
169  this->father_element_pt())
170  ->k_squared_pt();
171  }
oomph::HelmholtzEquations::source_fct_pt
HelmholtzSourceFctPt & source_fct_pt()
Access function: Pointer to source function.
Definition: helmholtz_elements.h:276
oomph::HelmholtzEquations::K_squared_pt
double * K_squared_pt
Pointer to square of wavenumber.
Definition: helmholtz_elements.h:437
oomph::HelmholtzEquations::Source_fct_pt
HelmholtzSourceFctPt Source_fct_pt
Pointer to source function:
Definition: helmholtz_elements.h:434
oomph::HelmholtzEquations::k_squared_pt
double *& k_squared_pt()
Get pointer to square of wavenumber.
Definition: helmholtz_elements.h:87
oomph::RefineableElement::father_element_pt
virtual RefineableElement * father_element_pt() const
Return a pointer to the father element.
Definition: refineable_elements.h:539

References oomph::RefineableElement::father_element_pt(), oomph::HelmholtzEquations< DIM >::k_squared_pt(), oomph::HelmholtzEquations< DIM >::K_squared_pt, oomph::HelmholtzEquations< DIM >::source_fct_pt(), and oomph::HelmholtzEquations< DIM >::Source_fct_pt.

◆ get_interpolated_values() [1/2]

template<unsigned DIM>
void oomph::RefineableHelmholtzEquations< DIM >::get_interpolated_values ( const unsigned &  t,
const Vector< double > &  s,
Vector< double > &  values 
)
inlinevirtual

Get the function value u in Vector. Note: Given the generality of the interface (this function is usually called from black-box documentation or interpolation routines), the values Vector sets its own size in here.

Implements oomph::RefineableElement.

141  {
142  if (t != 0)
143  {
144  std::string error_message =
145  "Time-dependent version of get_interpolated_values() ";
146  error_message += "not implemented for this element \n";
147  throw OomphLibError(
148  error_message,
149  "RefineableHelmholtzEquations::get_interpolated_values()",
150  OOMPH_EXCEPTION_LOCATION);
151  }
152  else
153  {
154  // Make sure that we call this particular object's steady
155  // get_interpolated_values (it could get overloaded lower down)
156  RefineableHelmholtzEquations<DIM>::get_interpolated_values(s, values);
157  }
158  }
oomph::RefineableHelmholtzEquations::get_interpolated_values
void get_interpolated_values(const Vector< double > &s, Vector< double > &values)
Definition: refineable_helmholtz_elements.h:108
s
RealScalar s
Definition: level1_cplx_impl.h:130
oomph::Global_string_for_annotation::string
std::string string(const unsigned &i)
Definition: oomph_definitions.cc:286
plotPSD.t
t
Definition: plotPSD.py:36
OOMPH_EXCEPTION_LOCATION
#define OOMPH_EXCEPTION_LOCATION
Definition: oomph_definitions.h:61

References oomph::RefineableHelmholtzEquations< DIM >::get_interpolated_values(), OOMPH_EXCEPTION_LOCATION, s, oomph::Global_string_for_annotation::string(), and plotPSD::t.

◆ get_interpolated_values() [2/2]

template<unsigned DIM>
void oomph::RefineableHelmholtzEquations< DIM >::get_interpolated_values ( const Vector< double > &  s,
Vector< double > &  values 
)
inlinevirtual

Get the function value u in Vector. Note: Given the generality of the interface (this function is usually called from black-box documentation or interpolation routines), the values Vector sets its own size in here.

Reimplemented from oomph::RefineableElement.

110  {
111  // Resize nitialise
112  values.resize(2, 0.0);
113 
114  // Find number of nodes
115  unsigned n_node = nnode();
116 
117  // Local shape function
118  Shape psi(n_node);
119 
120  // Find values of shape function
121  shape(s, psi);
122 
123  // Loop over the local nodes and sum up the values
124  for (unsigned l = 0; l < n_node; l++)
125  {
126  values[0] +=
127  this->nodal_value(l, this->u_index_helmholtz().real()) * psi[l];
128  values[1] +=
129  this->nodal_value(l, this->u_index_helmholtz().imag()) * psi[l];
130  }
131  }
oomph::FiniteElement::shape
virtual void shape(const Vector< double > &s, Shape &psi) const =0

References imag(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_value(), s, oomph::FiniteElement::shape(), and oomph::HelmholtzEquations< DIM >::u_index_helmholtz().

Referenced by oomph::RefineableHelmholtzEquations< DIM >::get_interpolated_values().

◆ get_Z2_flux()

template<unsigned DIM>
void oomph::RefineableHelmholtzEquations< DIM >::get_Z2_flux ( const Vector< double > &  s,
Vector< double > &  flux 
)
inlinevirtual

Get 'flux' for Z2 error recovery: Standard flux.from Helmholtz equations

Implements oomph::ElementWithZ2ErrorEstimator.

92  {
93  Vector<std::complex<double>> actual_flux(DIM);
94  this->get_flux(s, actual_flux);
95  unsigned count = 0;
96  for (unsigned i = 0; i < DIM; i++)
97  {
98  flux[count] = actual_flux[i].real();
99  flux[count + 1] = actual_flux[i].imag();
100  count += 2;
101  }
102  }
oomph::HelmholtzEquations::get_flux
void get_flux(const Vector< double > &s, Vector< std::complex< double >> &flux) const
Get flux: flux[i] = du/dx_i for real and imag part.
Definition: helmholtz_elements.h:310
ProblemParameters::flux
void flux(const double &time, const Vector< double > &x, double &flux)
Get flux applied along boundary x=0.
Definition: pretend_melt.cc:59

References DIM, ProblemParameters::flux(), oomph::HelmholtzEquations< DIM >::get_flux(), and i.

◆ num_Z2_flux_terms()

template<unsigned DIM>
unsigned oomph::RefineableHelmholtzEquations< DIM >::num_Z2_flux_terms ( )
inlinevirtual

Broken assignment operator.

Number of 'flux' terms for Z2 error estimation

Implements oomph::ElementWithZ2ErrorEstimator.

85  {
86  return 2 * DIM;
87  }

References DIM.

The documentation for this class was generated from the following files: