Public Member Functions | Private Member Functions | Private Attributes | List of all members
oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT > Class Template Reference

#include <fourier_decomposed_helmholtz_bc_elements.h>

+ Inheritance diagram for oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >:

Public Member Functions

 FourierDecomposedHelmholtzDtNBoundaryElement (FiniteElement *const &bulk_el_pt, const int &face_index)
 
void fill_in_contribution_to_residuals (Vector< double > &residuals)
 Add the element's contribution to its residual vector. More...
 
void fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)
 
void compute_gamma_contribution (const double &theta, const unsigned &n, std::complex< double > &gamma_con, std::map< unsigned, std::complex< double >> &d_gamma_con)
 
FourierDecomposedHelmholtzDtNMesh< ELEMENT > * outer_boundary_mesh_pt () const
 
void set_outer_boundary_mesh_pt (FourierDecomposedHelmholtzDtNMesh< ELEMENT > *mesh_pt)
 Set mesh of all DtN boundary condition elements. More...
 
void complete_setup_of_dependencies ()
 
- Public Member Functions inherited from oomph::FourierDecomposedHelmholtzBCElementBase< ELEMENT >
 FourierDecomposedHelmholtzBCElementBase (FiniteElement *const &bulk_el_pt, const int &face_index)
 Constructor, takes the pointer to the "bulk" element and the face index. More...
 
 FourierDecomposedHelmholtzBCElementBase ()
 Broken empty constructor. More...
 
 FourierDecomposedHelmholtzBCElementBase (const FourierDecomposedHelmholtzBCElementBase &dummy)=delete
 Broken copy constructor. More...
 
double zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const
 Broken assignment operator. More...
 
void output (std::ostream &outfile)
 
void output (std::ostream &outfile, const unsigned &n_plot)
 
void output (FILE *file_pt)
 
void output (FILE *file_pt, const unsigned &n_plot)
 
virtual std::complex< unsigned > u_index_fourier_decomposed_helmholtz () const
 
double global_power_contribution ()
 
double global_power_contribution (std::ofstream &outfile)
 
- Public Member Functions inherited from oomph::FaceElement
 FaceElement ()
 Constructor: Initialise all appropriate member data. More...
 
virtual ~FaceElement ()
 Empty virtual destructor. More...
 
 FaceElement (const FaceElement &)=delete
 Broken copy constructor. More...
 
const unsigned & boundary_number_in_bulk_mesh () const
 Broken assignment operator. More...
 
void set_boundary_number_in_bulk_mesh (const unsigned &b)
 Set function for the boundary number in bulk mesh. More...
 
double zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const
 
double J_eulerian (const Vector< double > &s) const
 
double J_eulerian_at_knot (const unsigned &ipt) const
 
void check_J_eulerian_at_knots (bool &passed) const
 
double interpolated_x (const Vector< double > &s, const unsigned &i) const
 
double interpolated_x (const unsigned &t, const Vector< double > &s, const unsigned &i) const
 
void interpolated_x (const Vector< double > &s, Vector< double > &x) const
 
void interpolated_x (const unsigned &t, const Vector< double > &s, Vector< double > &x) const
 
double interpolated_dxdt (const Vector< double > &s, const unsigned &i, const unsigned &t)
 
void interpolated_dxdt (const Vector< double > &s, const unsigned &t, Vector< double > &dxdt)
 
int & normal_sign ()
 
int normal_sign () const
 
int & face_index ()
 
int face_index () const
 
const Vector< double > * tangent_direction_pt () const
 Public access function for the tangent direction pointer. More...
 
void set_tangent_direction (Vector< double > *tangent_direction_pt)
 Set the tangent direction vector. More...
 
void turn_on_warning_for_discontinuous_tangent ()
 
void turn_off_warning_for_discontinuous_tangent ()
 
void continuous_tangent_and_outer_unit_normal (const Vector< double > &s, Vector< Vector< double >> &tang_vec, Vector< double > &unit_normal) const
 
void continuous_tangent_and_outer_unit_normal (const unsigned &ipt, Vector< Vector< double >> &tang_vec, Vector< double > &unit_normal) const
 
void outer_unit_normal (const Vector< double > &s, Vector< double > &unit_normal) const
 Compute outer unit normal at the specified local coordinate. More...
 
void outer_unit_normal (const unsigned &ipt, Vector< double > &unit_normal) const
 Compute outer unit normal at ipt-th integration point. More...
 
FiniteElement *& bulk_element_pt ()
 Pointer to higher-dimensional "bulk" element. More...
 
FiniteElement * bulk_element_pt () const
 Pointer to higher-dimensional "bulk" element (const version) More...
 
CoordinateMappingFctPt & face_to_bulk_coordinate_fct_pt ()
 
CoordinateMappingFctPt face_to_bulk_coordinate_fct_pt () const
 
BulkCoordinateDerivativesFctPt & bulk_coordinate_derivatives_fct_pt ()
 
BulkCoordinateDerivativesFctPt bulk_coordinate_derivatives_fct_pt () const
 
Vector< double > local_coordinate_in_bulk (const Vector< double > &s) const
 
void get_local_coordinate_in_bulk (const Vector< double > &s, Vector< double > &s_bulk) const
 
void get_ds_bulk_ds_face (const Vector< double > &s, DenseMatrix< double > &dsbulk_dsface, unsigned &interior_direction) const
 
unsigned & bulk_position_type (const unsigned &i)
 
const unsigned & bulk_position_type (const unsigned &i) const
 
void bulk_node_number_resize (const unsigned &i)
 Resize the storage for the bulk node numbers. More...
 
unsigned & bulk_node_number (const unsigned &n)
 
const unsigned & bulk_node_number (const unsigned &n) const
 
void bulk_position_type_resize (const unsigned &i)
 Resize the storage for bulk_position_type to i entries. More...
 
unsigned & nbulk_value (const unsigned &n)
 
unsigned nbulk_value (const unsigned &n) const
 
void nbulk_value_resize (const unsigned &i)
 
void resize_nodes (Vector< unsigned > &nadditional_data_values)
 
void output_zeta (std::ostream &outfile, const unsigned &nplot)
 Output boundary coordinate zeta. 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
 
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 assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt)
 
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 get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates)
 
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 unsigned nvertex_node () const
 
virtual Node * vertex_node_pt (const unsigned &j) const
 
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...
 
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)
 
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_field_data_for_interactions (std::set< std::pair< Data *, unsigned >> &paired_field_data)
 
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 unsigned nscalar_paraview () const
 
virtual void scalar_value_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot) 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 std::string scalar_name_paraview (const unsigned &i) 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, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)
 Output an exact solution over the element. More...
 
virtual void output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)
 Output a time-dependent exact solution over the element. More...
 
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, double &error, double &norm)
 
virtual void compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, 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 self_test ()
 
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 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
 

Private Member Functions

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

Private Attributes

FourierDecomposedHelmholtzDtNMesh< ELEMENT > * Outer_boundary_mesh_pt
 

Additional Inherited Members

- 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 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::FourierDecomposedHelmholtzBCElementBase< ELEMENT >
double shape_and_test (const Vector< double > &s, Shape &psi, Shape &test) const
 
double d_shape_and_test_local (const Vector< double > &s, Shape &psi, Shape &test, DShape &dpsi_ds, DShape &dtest_ds) const
 
- Protected Member Functions inherited from oomph::FaceElement
void add_additional_values (const Vector< unsigned > &nadditional_values, const unsigned &id)
 
- Protected Member Functions inherited from oomph::FiniteElement
virtual void assemble_local_to_eulerian_jacobian (const DShape &dpsids, DenseMatrix< double > &jacobian) const
 
virtual void assemble_local_to_eulerian_jacobian2 (const DShape &d2psids, DenseMatrix< double > &jacobian2) const
 
virtual void assemble_eulerian_base_vectors (const DShape &dpsids, DenseMatrix< double > &interpolated_G) const
 
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 double local_to_eulerian_mapping_diagonal (const DShape &dpsids, DenseMatrix< double > &jacobian, 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
 
virtual void fill_in_jacobian_from_nodal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian)
 
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)
 
void fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)
 
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 Attributes inherited from oomph::FourierDecomposedHelmholtzBCElementBase< ELEMENT >
std::complex< unsigned > U_index_fourier_decomposed_helmholtz
 
- Protected Attributes inherited from oomph::FaceElement
unsigned Boundary_number_in_bulk_mesh
 The boundary number in the bulk mesh to which this element is attached. More...
 
FiniteElement * Bulk_element_pt
 Pointer to the associated higher-dimensional "bulk" element. More...
 
Vector< unsigned > Bulk_node_number
 
Vector< unsigned > Nbulk_value
 
Vector< double > * Tangent_direction_pt
 
- 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
 
- 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
 

Detailed Description

template<class ELEMENT>
class oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >

////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////// FaceElement used to apply Sommerfeld radiation conditon via Dirichlet to Neumann map.

Constructor & Destructor Documentation

◆ FourierDecomposedHelmholtzDtNBoundaryElement()

template<class ELEMENT >
oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::FourierDecomposedHelmholtzDtNBoundaryElement ( FiniteElement *const &  bulk_el_pt,
const int &  face_index 
)
inline

Construct element from specification of bulk element and face index.

428  : FourierDecomposedHelmholtzBCElementBase<ELEMENT>(bulk_el_pt, face_index)
429  {
430  }
oomph::FaceElement::face_index
int & face_index()
Definition: elements.h:4626

Member Function Documentation

◆ complete_setup_of_dependencies()

template<class ELEMENT >
void oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::complete_setup_of_dependencies ( )
inlinevirtual

Complete the setup of additional dependencies arising through the far-away interaction with other nodes in Outer_boundary_mesh_pt.

Reimplemented from oomph::GeneralisedElement.

483  {
484  // Create a set of all nodes
485  std::set<Node*> node_set;
486  unsigned nel = Outer_boundary_mesh_pt->nelement();
487  for (unsigned e = 0; e < nel; e++)
488  {
489  FiniteElement* el_pt = Outer_boundary_mesh_pt->finite_element_pt(e);
490  unsigned nnod = el_pt->nnode();
491  for (unsigned j = 0; j < nnod; j++)
492  {
493  Node* nod_pt = el_pt->node_pt(j);
494 
495  // Don't add copied nodes
496  if (!(nod_pt->is_a_copy()))
497  {
498  node_set.insert(nod_pt);
499  }
500  }
501  }
502  // Now erase the current element's own nodes
503  unsigned nnod = this->nnode();
504  for (unsigned j = 0; j < nnod; j++)
505  {
506  Node* nod_pt = this->node_pt(j);
507  node_set.erase(nod_pt);
508 
509  // If the element's node is a copy then its "master" will
510  // already have been added in the set above -- remove the
511  // master to avoid double counting eqn numbers
512  if (nod_pt->is_a_copy())
513  {
514  node_set.erase(nod_pt->copied_node_pt());
515  }
516  }
517 
518  // Now declare these nodes to be the element's external Data
519  for (std::set<Node*>::iterator it = node_set.begin();
520  it != node_set.end();
521  it++)
522  {
523  this->add_external_data(*it);
524  }
525  }
e
Array< double, 1, 3 > e(1./3., 0.5, 2.)
oomph::FiniteElement::node_pt
Node *& node_pt(const unsigned &n)
Return a pointer to the local node n.
Definition: elements.h:2175
oomph::FiniteElement::nnode
unsigned nnode() const
Return the number of nodes.
Definition: elements.h:2210
oomph::FiniteElement::FiniteElement
FiniteElement()
Constructor.
Definition: elements.h:1782
oomph::FourierDecomposedHelmholtzDtNBoundaryElement::Outer_boundary_mesh_pt
FourierDecomposedHelmholtzDtNMesh< ELEMENT > * Outer_boundary_mesh_pt
Definition: fourier_decomposed_helmholtz_bc_elements.h:753
oomph::GeneralisedElement::add_external_data
unsigned add_external_data(Data *const &data_pt, const bool &fd=true)
Definition: elements.cc:307
j
std::ptrdiff_t j
Definition: tut_arithmetic_redux_minmax.cpp:2

References oomph::GeneralisedElement::add_external_data(), oomph::Node::copied_node_pt(), e(), oomph::Data::is_a_copy(), j, oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), and oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::Outer_boundary_mesh_pt.

◆ compute_gamma_contribution()

template<class ELEMENT >
void oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::compute_gamma_contribution ( const double &  theta,
const unsigned &  n,
std::complex< double > &  gamma_con,
std::map< unsigned, std::complex< double >> &  d_gamma_con 
)

Compute the contribution of the element to the Gamma integral and its derivates w.r.t to global unknows; the function takes the wavenumber (for gamma integral, not the one from the Fourier decomposition of the Helmholtz equations!) and the polar angle theta as input.

///////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////// compute the contribution of the element to the Gamma integral and its derivates w.r.t to global unknows; the function takes wavenumber n (from the computation of the gamma integral, not the one from the Fourier decomposition of the Helmholtz equations!) and polar angle theta as input.

777  {
778  // Parameters
779  int n_fourier_helmholtz =
780  dynamic_cast<ELEMENT*>(this->bulk_element_pt())->fourier_wavenumber();
781 
782  // define the imaginary number
783  const std::complex<double> I(0.0, 1.0);
784 
785  // Find out how many nodes there are
786  const unsigned n_node = this->nnode();
787 
788  // Set up memory for the shape functions
789  Shape psi(n_node);
790  DShape dpsi(n_node, 1);
791 
792  // initialise the variable
793  int local_unknown_real = 0, local_unknown_imag = 0;
794  int global_eqn_real = 0, global_eqn_imag = 0;
795 
796  // Set the value of n_intpt
797  const unsigned n_intpt = this->integral_pt()->nweight();
798 
799  // Set the Vector to hold local coordinates
800  Vector<double> s(1);
801 
802  // Initialise
803  gamma_con = std::complex<double>(0.0, 0.0);
804  d_gamma_con.clear();
805 
806  // Loop over the integration points
807  //--------------------------------
808  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
809  {
810  // Assign values of s
811  for (unsigned i = 0; i < 1; i++)
812  {
813  s[i] = this->integral_pt()->knot(ipt, i);
814  }
815 
816  // Get the integral weight
817  double w = this->integral_pt()->weight(ipt);
818 
819  // Get the shape functions
820  this->dshape_local(s, psi, dpsi);
821 
822  // Eulerian coordinates at Gauss point
823  Vector<double> interpolated_x(2, 0.0);
824 
825  // Derivs of Eulerian coordinates w.r.t. local coordinates
826  Vector<double> interpolated_dxds(2);
827  std::complex<double> interpolated_u(0.0, 0.0);
828 
829  // Assemble x and its derivs
830  for (unsigned l = 0; l < n_node; l++)
831  {
832  // Loop over directions
833  for (unsigned i = 0; i < 2; i++)
834  {
835  interpolated_x[i] += this->nodal_position(l, i) * psi[l];
836  interpolated_dxds[i] += this->nodal_position(l, i) * dpsi(l, 0);
837  }
838 
839  // Get the nodal value of the helmholtz unknown
840  std::complex<double> u_value(
841  this->nodal_value(l,
842  this->U_index_fourier_decomposed_helmholtz.real()),
843  this->nodal_value(l,
844  this->U_index_fourier_decomposed_helmholtz.imag()));
845 
846  interpolated_u += u_value * psi(l);
847 
848  } // End of loop over the nodes
849 
850 
851  // calculate the integral
852  //-----------------------
853  // define the variable theta
854  double phi = atan2(interpolated_x[0], interpolated_x[1]);
855 
856  // define dphi_ds=-z'/r
857  double dphi_ds = -std::fabs(-interpolated_dxds[1] / interpolated_x[0]);
858 
859  // define the associated legendre functions
860  double p_theta =
861  Legendre_functions_helper::plgndr2(n, n_fourier_helmholtz, cos(theta));
862 
863  double p_phi =
864  Legendre_functions_helper::plgndr2(n, n_fourier_helmholtz, cos(phi));
865 
866  gamma_con += interpolated_u * p_phi * p_theta * sin(phi) * w * dphi_ds;
867 
868  // compute the contribution to each node to the map
869  for (unsigned l = 0; l < n_node; l++)
870  {
871  // Add the contribution of the real local data
872  local_unknown_real = this->nodal_local_eqn(
873  l, this->U_index_fourier_decomposed_helmholtz.real());
874  if (local_unknown_real >= 0)
875  {
876  global_eqn_real = this->eqn_number(local_unknown_real);
877  d_gamma_con[global_eqn_real] +=
878  psi(l) * p_phi * p_theta * sin(phi) * w * dphi_ds;
879  }
880 
881  // Add the contribution of the imag local data
882  local_unknown_imag = this->nodal_local_eqn(
883  l, this->U_index_fourier_decomposed_helmholtz.imag());
884  if (local_unknown_imag >= 0)
885  {
886  global_eqn_imag = this->eqn_number(local_unknown_imag);
887  d_gamma_con[global_eqn_imag] +=
888  I * psi(l) * p_phi * p_theta * sin(phi) * w * dphi_ds;
889  }
890  } // end of loop over the node
891  } // End of loop over integration points
892  }
cos
AnnoyingScalar cos(const AnnoyingScalar &x)
Definition: AnnoyingScalar.h:136
atan2
AnnoyingScalar atan2(const AnnoyingScalar &y, const AnnoyingScalar &x)
Definition: AnnoyingScalar.h:139
sin
AnnoyingScalar sin(const AnnoyingScalar &x)
Definition: AnnoyingScalar.h:137
i
int i
Definition: BiCGSTAB_step_by_step.cpp:9
n
const unsigned n
Definition: CG3DPackingUnitTest.cpp:11
w
RowVector3d w
Definition: Matrix_resize_int.cpp:3
oomph::FaceElement::bulk_element_pt
FiniteElement *& bulk_element_pt()
Pointer to higher-dimensional "bulk" element.
Definition: elements.h:4735
oomph::FaceElement::interpolated_x
double interpolated_x(const Vector< double > &s, const unsigned &i) const
Definition: elements.h:4528
oomph::FiniteElement::nodal_value
double nodal_value(const unsigned &n, const unsigned &i) const
Definition: elements.h:2593
oomph::FiniteElement::nodal_local_eqn
int nodal_local_eqn(const unsigned &n, const unsigned &i) const
Definition: elements.h:1432
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::FiniteElement::dshape_local
virtual void dshape_local(const Vector< double > &s, Shape &psi, DShape &dpsids) const
Definition: elements.h:1981
oomph::FourierDecomposedHelmholtzBCElementBase::U_index_fourier_decomposed_helmholtz
std::complex< unsigned > U_index_fourier_decomposed_helmholtz
Definition: fourier_decomposed_helmholtz_bc_elements.h:335
oomph::GeneralisedElement::eqn_number
unsigned long eqn_number(const unsigned &ieqn_local) const
Definition: elements.h:704
oomph::Integral::knot
virtual double knot(const unsigned &i, const unsigned &j) const =0
Return local coordinate s[j] of i-th integration point.
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.
s
RealScalar s
Definition: level1_cplx_impl.h:130
I
#define I
Definition: main.h:127
BiharmonicTestFunctions2::theta
double theta
Definition: two_d_biharmonic.cc:236
boost::multiprecision::fabs
Real fabs(const Real &a)
Definition: boostmultiprec.cpp:117
oomph::Legendre_functions_helper::plgndr2
double plgndr2(const unsigned &l, const unsigned &m, const double &x)
Legendre polynomials depending on two parameters.
Definition: fourier_decomposed_helmholtz_elements.cc:97

References atan2(), cos(), boost::multiprecision::fabs(), i, I, n, oomph::Legendre_functions_helper::plgndr2(), s, sin(), BiharmonicTestFunctions2::theta, and w.

Referenced by oomph::FourierDecomposedHelmholtzDtNMesh< ELEMENT >::setup_gamma().

◆ fill_in_contribution_to_jacobian()

template<class ELEMENT >
void oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::fill_in_contribution_to_jacobian ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian 
)
inlinevirtual

Add the element's contribution to its residual vector and its Jacobian matrix

Reimplemented from oomph::GeneralisedElement.

446  {
447  // Call the generic routine with the flag set to 1
448  fill_in_generic_residual_contribution_fourier_decomposed_helmholtz_DtN_bc(
449  residuals, jacobian, 1);
450  }
oomph::FourierDecomposedHelmholtzDtNBoundaryElement::fill_in_generic_residual_contribution_fourier_decomposed_helmholtz_DtN_bc
void fill_in_generic_residual_contribution_fourier_decomposed_helmholtz_DtN_bc(Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag)
Definition: fourier_decomposed_helmholtz_bc_elements.h:532

References oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::fill_in_generic_residual_contribution_fourier_decomposed_helmholtz_DtN_bc().

◆ fill_in_contribution_to_residuals()

template<class ELEMENT >
void oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::fill_in_contribution_to_residuals ( Vector< double > &  residuals)
inlinevirtual

Add the element's contribution to its residual vector.

Reimplemented from oomph::GeneralisedElement.

434  {
435  // Call the generic residuals function with flag set to 0
436  // using a dummy matrix argument
437  fill_in_generic_residual_contribution_fourier_decomposed_helmholtz_DtN_bc(
438  residuals, GeneralisedElement::Dummy_matrix, 0);
439  }
oomph::GeneralisedElement::Dummy_matrix
static DenseMatrix< double > Dummy_matrix
Definition: elements.h:227

References oomph::GeneralisedElement::Dummy_matrix, and oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::fill_in_generic_residual_contribution_fourier_decomposed_helmholtz_DtN_bc().

◆ fill_in_generic_residual_contribution_fourier_decomposed_helmholtz_DtN_bc()

template<class ELEMENT >
void oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::fill_in_generic_residual_contribution_fourier_decomposed_helmholtz_DtN_bc ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian,
const unsigned &  flag 
)
inlineprivate

Compute the element's residual vector Jacobian matrix. Overloaded version, using the gamma computed in the mesh

536  {
537  // Find out how many nodes there are
538  const unsigned n_node = this->nnode();
539 
540  // Set up memory for the shape and test functions
541  Shape test(n_node);
542  Shape psi(n_node);
543 
544  // Set the value of Nintpt
545  const unsigned n_intpt = this->integral_pt()->nweight();
546 
547  // Set the Vector to hold local coordinates
548  Vector<double> s(1);
549 
550  // Integers to hold the local equation and unknown numbers
551  int local_eqn_real = 0, local_unknown_real = 0, global_unk_real = 0,
552  local_eqn_imag = 0, local_unknown_imag = 0, global_unk_imag = 0;
553  int external_global_unk_real = 0, external_unknown_real = 0,
554  external_global_unk_imag = 0, external_unknown_imag = 0;
555 
556 
557  // Get the gamma value for the current integration point
558  // from the mesh
559  Vector<std::complex<double>> gamma(
560  Outer_boundary_mesh_pt->gamma_at_gauss_point(this));
561 
562  Vector<std::map<unsigned, std::complex<double>>> d_gamma(
563  Outer_boundary_mesh_pt->d_gamma_at_gauss_point(this));
564 
565  // Loop over the integration points
566  //--------------------------------
567  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
568  {
569  // Assign values of s
570  for (unsigned i = 0; i < 1; i++)
571  {
572  s[i] = this->integral_pt()->knot(ipt, i);
573  }
574 
575  // Get the integral weight
576  double w = this->integral_pt()->weight(ipt);
577 
578  // Find the shape test functions and derivates; return the Jacobian
579  // of the mapping between local and global (Eulerian)
580  // coordinates
581  double J = this->shape_and_test(s, psi, test);
582 
583  // Premultiply the weights and the Jacobian
584  double W = w * J;
585 
586  // Build up radius
587  double r = 0.0;
588  for (unsigned j = 0; j < n_node; j++)
589  {
590  r += this->node_pt(j)->x(0) * psi(j);
591  }
592 
593  // Now add to the appropriate equations
594  // Loop over the test functions:loop over the nodes
595  for (unsigned l = 0; l < n_node; l++)
596  {
597  local_eqn_real = this->nodal_local_eqn(
598  l, this->U_index_fourier_decomposed_helmholtz.real());
599 
600  local_eqn_imag = this->nodal_local_eqn(
601  l, this->U_index_fourier_decomposed_helmholtz.imag());
602 
603  // IF it's not a boundary condition
604  if (local_eqn_real >= 0)
605  {
606  // Add the gamma contribution in this int_point to the res
607  residuals[local_eqn_real] += gamma[ipt].real() * test[l] * r * W;
608 
609  // Calculate the jacobian
610  //-----------------------
611  if (flag)
612  {
613  // Loop over the shape functions again
614  for (unsigned l2 = 0; l2 < n_node; l2++)
615  {
616  // Add the contribution of the local data
617  local_unknown_real = this->nodal_local_eqn(
618  l2, this->U_index_fourier_decomposed_helmholtz.real());
619 
620  local_unknown_imag = this->nodal_local_eqn(
621  l2, this->U_index_fourier_decomposed_helmholtz.imag());
622 
623  // If at a non-zero degree of freedom add in the entry
624  if (local_unknown_real >= 0)
625  {
626  // Add the contribution
627  global_unk_real = this->eqn_number(local_unknown_real);
628  jacobian(local_eqn_real, local_unknown_real) +=
629  d_gamma[ipt][global_unk_real].real() * test[l] * r * W;
630  }
631  if (local_unknown_imag >= 0)
632  {
633  // Add the contribution
634  global_unk_imag = this->eqn_number(local_unknown_imag);
635  jacobian(local_eqn_real, local_unknown_imag) +=
636  d_gamma[ipt][global_unk_imag].real() * test[l] * r * W;
637  }
638  } // End of loop over nodes l2
639 
640  // Add the contribution of the external data
641  unsigned n_ext_data = this->nexternal_data();
642  // Loop over the shape functions again
643  for (unsigned l2 = 0; l2 < n_ext_data; l2++)
644  {
645  // Add the contribution of the local data
646  external_unknown_real = this->external_local_eqn(
647  l2, this->U_index_fourier_decomposed_helmholtz.real());
648 
649  external_unknown_imag = this->external_local_eqn(
650  l2, this->U_index_fourier_decomposed_helmholtz.imag());
651 
652  // If at a non-zero degree of freedom add in the entry
653  if (external_unknown_real >= 0)
654  {
655  // Add the contribution
656  external_global_unk_real =
657  this->eqn_number(external_unknown_real);
658  jacobian(local_eqn_real, external_unknown_real) +=
659  d_gamma[ipt][external_global_unk_real].real() * test[l] *
660  r * W;
661  }
662  if (external_unknown_imag >= 0)
663  {
664  // Add the contribution
665  external_global_unk_imag =
666  this->eqn_number(external_unknown_imag);
667  jacobian(local_eqn_real, external_unknown_imag) +=
668  d_gamma[ipt][external_global_unk_imag].real() * test[l] *
669  r * W;
670  }
671  } // End of loop over external data
672  } // End of flag
673  } // end of local_eqn_real
674 
675  if (local_eqn_imag >= 0)
676  {
677  // Add the gamma contribution in this int_point to the res
678  residuals[local_eqn_imag] += gamma[ipt].imag() * test[l] * r * W;
679 
680  // Calculate the jacobian
681  //-----------------------
682  if (flag)
683  {
684  // Loop over the shape functions again
685  for (unsigned l2 = 0; l2 < n_node; l2++)
686  {
687  // Add the contribution of the local data
688  local_unknown_real = this->nodal_local_eqn(
689  l2, this->U_index_fourier_decomposed_helmholtz.real());
690 
691  local_unknown_imag = this->nodal_local_eqn(
692  l2, this->U_index_fourier_decomposed_helmholtz.imag());
693 
694  // If at a non-zero degree of freedom add in the entry
695  if (local_unknown_real >= 0)
696  {
697  // Add the contribution
698  global_unk_real = this->eqn_number(local_unknown_real);
699  jacobian(local_eqn_imag, local_unknown_real) +=
700  d_gamma[ipt][global_unk_real].imag() * test[l] * r * W;
701  }
702  if (local_unknown_imag >= 0)
703  {
704  // Add the contribution
705  global_unk_imag = this->eqn_number(local_unknown_imag);
706  jacobian(local_eqn_imag, local_unknown_imag) +=
707  d_gamma[ipt][global_unk_imag].imag() * test[l] * r * W;
708  }
709  } // End of loop over nodes l2
710 
711  // Add the contribution of the external data
712  unsigned n_ext_data = this->nexternal_data();
713 
714  // Loop over the shape functions again
715  for (unsigned l2 = 0; l2 < n_ext_data; l2++)
716  {
717  // Add the contribution of the local data
718  external_unknown_real = this->external_local_eqn(
719  l2, this->U_index_fourier_decomposed_helmholtz.real());
720 
721  external_unknown_imag = this->external_local_eqn(
722  l2, this->U_index_fourier_decomposed_helmholtz.imag());
723 
724  // If at a non-zero degree of freedom add in the entry
725  if (external_unknown_real >= 0)
726  {
727  // Add the contribution
728  external_global_unk_real =
729  this->eqn_number(external_unknown_real);
730  jacobian(local_eqn_imag, external_unknown_real) +=
731  d_gamma[ipt][external_global_unk_real].imag() * test[l] *
732  r * W;
733  }
734  if (external_unknown_imag >= 0)
735  {
736  // Add the contribution
737  external_global_unk_imag =
738  this->eqn_number(external_unknown_imag);
739  jacobian(local_eqn_imag, external_unknown_imag) +=
740  d_gamma[ipt][external_global_unk_imag].imag() * test[l] *
741  r * W;
742  }
743  } // End of loop over external data
744  } // End of flag
745  } // end of local_eqn_imag
746  } // end of loop over the nodes
747  } // End of loop over int_pt
748  }
J
JacobiRotation< float > J
Definition: Jacobi_makeJacobi.cpp:3
oomph::FourierDecomposedHelmholtzBCElementBase::shape_and_test
double shape_and_test(const Vector< double > &s, Shape &psi, Shape &test) const
Definition: fourier_decomposed_helmholtz_bc_elements.h:287
oomph::GeneralisedElement::nexternal_data
unsigned nexternal_data() const
Return the number of external data objects.
Definition: elements.h:829
oomph::GeneralisedElement::external_local_eqn
int external_local_eqn(const unsigned &i, const unsigned &j)
Definition: elements.h:311
oomph::Node::x
double & x(const unsigned &i)
Return the i-th nodal coordinate.
Definition: nodes.h:1060
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
UniformPSDSelfTest.r
r
Definition: UniformPSDSelfTest.py:20
mathsFunc::gamma
Mdouble gamma(Mdouble gamma_in)
This is the gamma function returns the true value for the half integer value.
Definition: ExtendedMath.cc:116
oomph::QuadTreeNames::W
@ W
Definition: quadtree.h:63
test
Definition: indexed_view.cpp:20

References oomph::GeneralisedElement::eqn_number(), oomph::GeneralisedElement::external_local_eqn(), mathsFunc::gamma(), i, oomph::FiniteElement::integral_pt(), J, j, oomph::Integral::knot(), oomph::GeneralisedElement::nexternal_data(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_local_eqn(), oomph::FiniteElement::node_pt(), oomph::Integral::nweight(), oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::Outer_boundary_mesh_pt, UniformPSDSelfTest::r, s, oomph::FourierDecomposedHelmholtzBCElementBase< ELEMENT >::shape_and_test(), Eigen::test, oomph::FourierDecomposedHelmholtzBCElementBase< ELEMENT >::U_index_fourier_decomposed_helmholtz, w, oomph::QuadTreeNames::W, oomph::Integral::weight(), and oomph::Node::x().

Referenced by oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::fill_in_contribution_to_jacobian(), and oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::fill_in_contribution_to_residuals().

◆ outer_boundary_mesh_pt()

template<class ELEMENT >
FourierDecomposedHelmholtzDtNMesh<ELEMENT>* oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::outer_boundary_mesh_pt ( ) const
inline

Access function to mesh of all DtN boundary condition elements (needed to get access to gamma values)

467  {
468  return Outer_boundary_mesh_pt;
469  }

References oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::Outer_boundary_mesh_pt.

◆ set_outer_boundary_mesh_pt()

template<class ELEMENT >
void oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::set_outer_boundary_mesh_pt ( FourierDecomposedHelmholtzDtNMesh< ELEMENT > *  mesh_pt)
inline

Set mesh of all DtN boundary condition elements.

474  {
475  Outer_boundary_mesh_pt = mesh_pt;
476  }

References oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::Outer_boundary_mesh_pt.

Referenced by CoatedSphereProblem< ELASTICITY_ELEMENT, HELMHOLTZ_ELEMENT >::create_helmholtz_DtN_elements().

Member Data Documentation

◆ Outer_boundary_mesh_pt

template<class ELEMENT >
FourierDecomposedHelmholtzDtNMesh<ELEMENT>* oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::Outer_boundary_mesh_pt
private

Pointer to mesh of all DtN boundary condition elements (needed to get access to gamma values)

Referenced by oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::complete_setup_of_dependencies(), oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::fill_in_generic_residual_contribution_fourier_decomposed_helmholtz_DtN_bc(), oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::outer_boundary_mesh_pt(), and oomph::FourierDecomposedHelmholtzDtNBoundaryElement< ELEMENT >::set_outer_boundary_mesh_pt().

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