oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT > Class Template Reference

#include <unsteady_heat_flux_pseudo_melt_elements.h>

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

Public Types

typedef void(* UnsteadyHeatPrescribedFluxFctPt) (const double &time, const Vector< double > &x, double &flux)
 
- Public Types inherited from oomph::FiniteElement
typedef void(* SteadyExactSolutionFctPt) (const Vector< double > &, Vector< double > &)
 
typedef void(* UnsteadyExactSolutionFctPt) (const double &, const Vector< double > &, Vector< double > &)
 

Public Member Functions

 UnsteadyHeatFluxPseudoMeltElement (FiniteElement *const &bulk_el_pt, const int &face_index, const unsigned &id=0)
 
 UnsteadyHeatFluxPseudoMeltElement (const UnsteadyHeatFluxPseudoMeltElement &dummy)
 Broken copy constructor. More...
 
UnsteadyHeatPrescribedFluxFctPtflux_fct_pt ()
 Access function for the prescribed-flux function pointer. More...
 
void fill_in_contribution_to_residuals (Vector< double > &residuals)
 Compute the element residual vector. More...
 
double zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const
 
void output (std::ostream &outfile)
 Output function. More...
 
void output (std::ostream &outfile, const unsigned &n_plot)
 Output function. More...
 
void output (FILE *file_pt)
 
void output (FILE *file_pt, const unsigned &n_plot)
 
void plot_residual_landscape (std::ostream &landscape_outfile, std::ostream &soln_outfile, Problem *problem_pt, const unsigned &j)
 Plot landscape of residuals for j-th node. More...
 
double melt_temperature ()
 Melt temperature. More...
 
double *& melt_temperature_pt ()
 Pointer to (non-default) melt temperature. More...
 
void disable_melting ()
 Switch off melting by pinning melting dofs. More...
 
- 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 unsignedboundary_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)
 
intnormal_sign ()
 
int normal_sign () const
 
intface_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...
 
FiniteElementbulk_element_pt () const
 Pointer to higher-dimensional "bulk" element (const version) More...
 
CoordinateMappingFctPtface_to_bulk_coordinate_fct_pt ()
 
CoordinateMappingFctPt face_to_bulk_coordinate_fct_pt () const
 
BulkCoordinateDerivativesFctPtbulk_coordinate_derivatives_fct_pt ()
 
BulkCoordinateDerivativesFctPt bulk_coordinate_derivatives_fct_pt () const
 
Vector< doublelocal_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
 
unsignedbulk_position_type (const unsigned &i)
 
const unsignedbulk_position_type (const unsigned &i) const
 
void bulk_node_number_resize (const unsigned &i)
 Resize the storage for the bulk node numbers. More...
 
unsignedbulk_node_number (const unsigned &n)
 
const unsignedbulk_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...
 
unsignednbulk_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)
 
MacroElementmacro_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 Nodevertex_node_pt (const unsigned &j) const
 
virtual Nodeconstruct_node (const unsigned &n)
 
virtual Nodeconstruct_node (const unsigned &n, TimeStepper *const &time_stepper_pt)
 
virtual Nodeconstruct_boundary_node (const unsigned &n)
 
virtual Nodeconstruct_boundary_node (const unsigned &n, TimeStepper *const &time_stepper_pt)
 
int get_node_number (Node *const &node_pt) const
 
virtual Nodeget_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
 
Datageom_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 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 ()
 
TimeSteppertime_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
 

Protected Member Functions

double shape_and_test (const Vector< double > &s, Shape &psi, Shape &test) const
 
void get_flux (const double &time, const Vector< double > &x, double &flux)
 
- 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)
 

Private Member Functions

void fill_in_generic_residual_contribution_ust_heat_flux (Vector< double > &residuals, DenseMatrix< double > &jacobian, unsigned flag)
 Compute the element's residual vector and the Jacobian matrix. More...
 

Private Attributes

UnsteadyHeatPrescribedFluxFctPt Flux_fct_pt
 Function pointer to the (global) prescribed-flux function. More...
 
unsigned Dim
 The spatial dimension of the problem. More...
 
unsigned U_index_ust_heat
 The index at which the unknown is stored at the nodes. More...
 
unsigned Melt_id
 Id of first value assigned by this face element. More...
 
doubleMelt_temperature_pt
 Pointer to non-default melt temperature. More...
 

Additional Inherited Members

- 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 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...
 
FiniteElementBulk_element_pt
 Pointer to the associated higher-dimensional "bulk" element. More...
 
Vector< unsignedBulk_node_number
 
Vector< unsignedNbulk_value
 
Vector< double > * Tangent_direction_pt
 
- Protected Attributes inherited from oomph::FiniteElement
MacroElementMacro_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...
 
TimeStepperGeom_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< doubleDummy_matrix
 
static std::deque< double * > Dof_pt_deque
 

Detailed Description

template<class ELEMENT>
class oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >

A class for elements that allow the imposition of an applied flux on the boundaries of UnsteadyHeat elements. "Temperature" is limited by melt-like construction – just the right amount of flux is "withdrawn" (if required) to limit the temperature to the melt temperature. The element geometry is obtained from the FaceGeometry<ELEMENT> policy class.

This is demo code – the real "melt elements" which actually move the surface according to the Stefan condition are implemented elsewhere using the same functionality.

Member Typedef Documentation

◆ UnsteadyHeatPrescribedFluxFctPt

template<class ELEMENT >
typedef void(* oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::UnsteadyHeatPrescribedFluxFctPt) (const double &time, const Vector< double > &x, double &flux)

Function pointer to the prescribed-flux function fct(x,f(x)) – x is a Vector!

Constructor & Destructor Documentation

◆ UnsteadyHeatFluxPseudoMeltElement() [1/2]

template<class ELEMENT >
oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::UnsteadyHeatFluxPseudoMeltElement ( FiniteElement *const &  bulk_el_pt,
const int face_index,
const unsigned id = 0 
)

Constructor, takes the pointer to the "bulk" element and the index of the face to be created, and (optionally) the face element ID.

///////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////
Constructor, takes the pointer to the "bulk" element and the index of the face to be created, and (optionally) the face element ID.

413  :
414  FaceGeometry<ELEMENT>(), FaceElement()
415 {
416  // Use default melt temperature
418 
419 #ifdef PARANOID
420  {
421  //Check that the element is not a refineable 3d element
422  ELEMENT* elem_pt = new ELEMENT;
423  //If it's three-d
424  if(elem_pt->dim()==3)
425  {
426  //Is it refineable
427  if(dynamic_cast<RefineableElement*>(elem_pt))
428  {
429  //Issue a warning
430  OomphLibWarning(
431  "This flux element will not work correctly if nodes are hanging\n",
432  "UnsteadyHeatFluxPseudoMeltElement::Constructor",
434  }
435  }
436  }
437 #endif
438 
439  // Let the bulk element build the FaceElement, i.e. setup the pointers
440  // to its nodes (by referring to the appropriate nodes in the bulk
441  // element), etc.
442  bulk_el_pt->build_face_element(face_index,this);
443 
444  // Melt flux stored at nodes
445  Vector<unsigned> n_additional_values(nnode(),1);
446 
447  // Now add storage and set the map containing
448  // the position of the first entry of this face element's
449  // additional values.
450  Melt_id=id;
451  add_additional_values(n_additional_values,Melt_id);
452 
453  // Initialise the prescribed-flux function pointer to zero
454  Flux_fct_pt = 0;
455 
456  // Extract the dimension of the problem from the dimension of
457  // the first node
458  Dim = this->node_pt(0)->ndim();
459 
460  //Set up U_index_ust_heat. Initialise to zero, which probably won't change
461  //in most cases, oh well, the price we pay for generality
462  U_index_ust_heat = 0;
463 
464  //Cast to the appropriate UnsteadyHeatEquation so that we can
465  //find the index at which the variable is stored
466  //We assume that the dimension of the full problem is the same
467  //as the dimension of the node, if this is not the case you will have
468  //to write custom elements, sorry
469  switch(Dim)
470  {
471  //One dimensional problem
472  case 1:
473  {
474  UnsteadyHeatEquations<1>* eqn_pt =
475  dynamic_cast<UnsteadyHeatEquations<1>*>(bulk_el_pt);
476  //If the cast has failed die
477  if(eqn_pt==0)
478  {
479  std::string error_string =
480  "Bulk element must inherit from UnsteadyHeatEquations.";
481  error_string +=
482  "Nodes are one dimensional, but cannot cast the bulk element to\n";
483  error_string += "UnsteadyHeatEquations<1>\n.";
484  error_string +=
485  "If you desire this functionality, you must implement it yourself\n";
486 
487  throw OomphLibError(error_string,
490  }
491  //Otherwise read out the value
492  else
493  {
494  //Read the index from the (cast) bulk element
495  U_index_ust_heat = eqn_pt->u_index_ust_heat();
496  }
497  }
498  break;
499 
500  //Two dimensional problem
501  case 2:
502  {
503  UnsteadyHeatEquations<2>* eqn_pt =
504  dynamic_cast<UnsteadyHeatEquations<2>*>(bulk_el_pt);
505  //If the cast has failed die
506  if(eqn_pt==0)
507  {
508  std::string error_string =
509  "Bulk element must inherit from UnsteadyHeatEquations.";
510  error_string +=
511  "Nodes are two dimensional, but cannot cast the bulk element to\n";
512  error_string += "UnsteadyHeatEquations<2>\n.";
513  error_string +=
514  "If you desire this functionality, you must implement it yourself\n";
515 
516  throw OomphLibError(error_string,
519  }
520  else
521  {
522  //Read the index from the (cast) bulk element.
523  U_index_ust_heat = eqn_pt->u_index_ust_heat();
524  }
525  }
526  break;
527 
528  //Three dimensional problem
529  case 3:
530  {
531  UnsteadyHeatEquations<3>* eqn_pt =
532  dynamic_cast<UnsteadyHeatEquations<3>*>(bulk_el_pt);
533  //If the cast has failed die
534  if(eqn_pt==0)
535  {
536  std::string error_string =
537  "Bulk element must inherit from UnsteadyHeatEquations.";
538  error_string +=
539  "Nodes are three dimensional, but cannot cast the bulk element to\n";
540  error_string += "UnsteadyHeatEquations<3>\n.";
541  error_string +=
542  "If you desire this functionality, you must implement it yourself\n";
543 
544  throw OomphLibError(error_string,
547 
548  }
549  else
550  {
551  //Read the index from the (cast) bulk element.
552  U_index_ust_heat = eqn_pt->u_index_ust_heat();
553  }
554  }
555  break;
556 
557  //Any other case is an error
558  default:
559  std::ostringstream error_stream;
560  error_stream << "Dimension of node is " << Dim
561  << ". It should be 1,2, or 3!" << std::endl;
562 
563  throw OomphLibError(error_stream.str(),
566  break;
567  }
568 
569 }
int & face_index()
Definition: elements.h:4626
FaceElement()
Constructor: Initialise all appropriate member data.
Definition: elements.h:4446
void add_additional_values(const Vector< unsigned > &nadditional_values, const unsigned &id)
Definition: elements.h:4428
Node *& node_pt(const unsigned &n)
Return a pointer to the local node n.
Definition: elements.h:2175
unsigned nnode() const
Return the number of nodes.
Definition: elements.h:2210
unsigned ndim() const
Return (Eulerian) spatial dimension of the node.
Definition: nodes.h:1054
unsigned Dim
The spatial dimension of the problem.
Definition: unsteady_heat_flux_pseudo_melt_elements.h:389
double * Melt_temperature_pt
Pointer to non-default melt temperature.
Definition: unsteady_heat_flux_pseudo_melt_elements.h:398
UnsteadyHeatPrescribedFluxFctPt Flux_fct_pt
Function pointer to the (global) prescribed-flux function.
Definition: unsteady_heat_flux_pseudo_melt_elements.h:386
unsigned Melt_id
Id of first value assigned by this face element.
Definition: unsteady_heat_flux_pseudo_melt_elements.h:395
unsigned U_index_ust_heat
The index at which the unknown is stored at the nodes.
Definition: unsteady_heat_flux_pseudo_melt_elements.h:392
std::string string(const unsigned &i)
Definition: oomph_definitions.cc:286
#define OOMPH_EXCEPTION_LOCATION
Definition: oomph_definitions.h:61
#define OOMPH_CURRENT_FUNCTION
Definition: oomph_definitions.h:86

References oomph::FaceElement::add_additional_values(), oomph::FiniteElement::build_face_element(), oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::Dim, oomph::FaceElement::face_index(), oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::Flux_fct_pt, oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::Melt_id, oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::Melt_temperature_pt, oomph::Node::ndim(), oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::Global_string_for_annotation::string(), oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::U_index_ust_heat, and oomph::UnsteadyHeatEquations< DIM >::u_index_ust_heat().

◆ UnsteadyHeatFluxPseudoMeltElement() [2/2]

template<class ELEMENT >
oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::UnsteadyHeatFluxPseudoMeltElement ( const UnsteadyHeatFluxPseudoMeltElement< ELEMENT > &  dummy)
inline

Broken copy constructor.

84  {
85  BrokenCopy::broken_copy("UnsteadyHeatFluxPseudoMeltElement");
86  }
void broken_copy(const std::string &class_name)
Issue error message and terminate execution.
Definition: oomph_utilities.cc:212

References oomph::BrokenCopy::broken_copy().

Member Function Documentation

◆ disable_melting()

template<class ELEMENT >
void oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::disable_melting ( )
inline

Switch off melting by pinning melting dofs.

317  {
318  unsigned n_node=nnode();
319  for(unsigned l=0;l<n_node;l++)
320  {
321  // get the node pt
322  Node* nod_pt = node_pt(l);
323 
324  // Cast to a boundary node
325  BoundaryNodeBase *bnod_pt =
326  dynamic_cast<BoundaryNodeBase*>(nod_pt);
327 
328  // Get the index of the first nodal value associated with
329  // this FaceElement
330  unsigned first_index=
331  bnod_pt->index_of_first_value_assigned_by_face_element(Melt_id);
332 
333  // Pin
334  nod_pt->pin(first_index);
335  }
336  }

References oomph::BoundaryNodeBase::index_of_first_value_assigned_by_face_element(), oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::Melt_id, oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), and oomph::Data::pin().

Referenced by UnsteadyHeatProblem< ELEMENT >::complete_problem_setup().

◆ fill_in_contribution_to_residuals()

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

Compute the element residual vector.

Reimplemented from oomph::GeneralisedElement.

93  {
94  //Call the generic residuals function with flag set to 0
95  //using a dummy matrix argument
98  }
static DenseMatrix< double > Dummy_matrix
Definition: elements.h:227
void fill_in_generic_residual_contribution_ust_heat_flux(Vector< double > &residuals, DenseMatrix< double > &jacobian, unsigned flag)
Compute the element's residual vector and the Jacobian matrix.
Definition: unsteady_heat_flux_pseudo_melt_elements.h:578

References oomph::GeneralisedElement::Dummy_matrix, and oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::fill_in_generic_residual_contribution_ust_heat_flux().

◆ fill_in_generic_residual_contribution_ust_heat_flux()

template<class ELEMENT >
void oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::fill_in_generic_residual_contribution_ust_heat_flux ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian,
unsigned  flag 
)
private

Compute the element's residual vector and the Jacobian matrix.

Compute the element residual vector. flag=1(or 0): do (or don't) compute the Jacobian as well.

581 {
582 
583  // Code isn't quite complete yet...
584  if (flag==1)
585  {
586  throw OomphLibError("Jacobian not yet implemented.\n",
589  }
590 
591  //Find out how many nodes there are
592  const unsigned n_node = nnode();
593 
594  // Get continuous time from timestepper of first node
595  double time=node_pt(0)->time_stepper_pt()->time_pt()->time();
596 
597  //Set up memory for the shape and test functions
598  Shape psif(n_node), testf(n_node);
599 
600  //Set the value of n_intpt
601  const unsigned n_intpt = integral_pt()->nweight();
602 
603  //Set the Vector to hold local coordinates
604  Vector<double> s(Dim-1);
605 
606  //Integer to store the local equation and unknowns
607  int local_eqn=0;
608 
609  // Locally cache the index at which the variable is stored
610  const unsigned u_index_ust_heat = U_index_ust_heat;
611 
612  //Loop over the integration points
613  //--------------------------------
614  for(unsigned ipt=0;ipt<n_intpt;ipt++)
615  {
616 
617  //Assign values of s
618  for(unsigned i=0;i<(Dim-1);i++)
619  {
620  s[i] = integral_pt()->knot(ipt,i);
621  }
622 
623  //Get the integral weight
624  double w = integral_pt()->weight(ipt);
625 
626  //Find the shape and test functions and return the Jacobian
627  //of the mapping
628  double J = shape_and_test(s,psif,testf);
629 
630  //Premultiply the weights and the Jacobian
631  double W = w*J;
632 
633  //Need to find position to feed into flux function
634  Vector<double> interpolated_x(Dim);
635 
636  // Melt flux
637  double melt_flux=0.0;
638 
639  // Temperature
640  double u=0.0;
641 
642  //Initialise to zero
643  for(unsigned i=0;i<Dim;i++)
644  {
645  interpolated_x[i] = 0.0;
646  }
647 
648  //Calculate quantities
649  for(unsigned l=0;l<n_node;l++)
650  {
651  // get the node pt
652  Node* nod_pt = node_pt(l);
653 
654  // Cast to a boundary node
655  BoundaryNodeBase *bnod_pt =
656  dynamic_cast<BoundaryNodeBase*>(nod_pt);
657 
658  // Get the index of the first nodal value associated with
659  // this FaceElement
660  unsigned first_index=
661  bnod_pt->index_of_first_value_assigned_by_face_element(Melt_id);
662 
663  // Melt rate
664  melt_flux+=nod_pt->value(first_index)*psif[l];
665 
666  // Temperature
667  u+=nod_pt->value(u_index_ust_heat)*psif[l];
668 
669  //Loop over components
670  for(unsigned i=0;i<Dim;i++)
671  {
672  interpolated_x[i] += nodal_position(l,i)*psif[l];
673  }
674  }
675 
676  //Get the imposed flux
677  double flux=0.0;
679 
680  //Now add to the appropriate equations
681 
682  //Loop over the test functions
683  for(unsigned l=0;l<n_node;l++)
684  {
685  local_eqn = nodal_local_eqn(l,u_index_ust_heat);
686  /*IF it's not a boundary condition*/
687  if(local_eqn >= 0)
688  {
689  //Add the prescribed flux terms
690  residuals[local_eqn] -= (flux-melt_flux)*testf[l]*W;
691  }
692  }
693  }
694 
695  // Collocation for melt rate:
696  //---------------------------
697 
698  //Loop over the nodes
699  for(unsigned l=0;l<n_node;l++)
700  {
701  // get the node pt
702  Node* nod_pt = node_pt(l);
703 
704  // Cast to a boundary node
705  BoundaryNodeBase *bnod_pt =
706  dynamic_cast<BoundaryNodeBase*>(nod_pt);
707 
708  // Get the index of the first nodal value associated with
709  // this FaceElement
710  unsigned first_index=
711  bnod_pt->index_of_first_value_assigned_by_face_element(Melt_id);
712  local_eqn = nodal_local_eqn(l,first_index);
713 
714  /*IF it's not a boundary condition*/
715  if(local_eqn >= 0)
716  {
717  double u=nod_pt->value(u_index_ust_heat);
718  double melt_flux=nod_pt->value(first_index);
719 
720  // Piecewise linear variation
721  if ((melt_temperature()-u)>melt_flux)
722  {
723  residuals[local_eqn]+=melt_flux;
724  }
725  else
726  {
727  residuals[local_eqn]+=(melt_temperature()-u);
728  }
729  }
730  }
731 
732 }
int i
Definition: BiCGSTAB_step_by_step.cpp:9
JacobiRotation< float > J
Definition: Jacobi_makeJacobi.cpp:3
RowVector3d w
Definition: Matrix_resize_int.cpp:3
TimeStepper *& time_stepper_pt()
Return the pointer to the timestepper.
Definition: nodes.h:238
double interpolated_x(const Vector< double > &s, const unsigned &i) const
Definition: elements.h:4528
int nodal_local_eqn(const unsigned &n, const unsigned &i) const
Definition: elements.h:1432
Integral *const & integral_pt() const
Return the pointer to the integration scheme (const version)
Definition: elements.h:1963
double nodal_position(const unsigned &n, const unsigned &i) const
Definition: elements.h:2317
virtual double knot(const unsigned &i, const unsigned &j) const =0
Return local coordinate s[j] of i-th integration point.
virtual unsigned nweight() const =0
Return the number of integration points of the scheme.
virtual double weight(const unsigned &i) const =0
Return weight of i-th integration point.
Time *const & time_pt() const
Access function for the pointer to time (const version)
Definition: timesteppers.h:572
double & time()
Return the current value of the continuous time.
Definition: timesteppers.h:123
double shape_and_test(const Vector< double > &s, Shape &psi, Shape &test) const
Definition: unsteady_heat_flux_pseudo_melt_elements.h:343
void get_flux(const double &time, const Vector< double > &x, double &flux)
Definition: unsteady_heat_flux_pseudo_melt_elements.h:361
double melt_temperature()
Melt temperature.
Definition: unsteady_heat_flux_pseudo_melt_elements.h:296
RealScalar s
Definition: level1_cplx_impl.h:130
double melt_flux(const double &t)
Definition: stefan_boltzmann_melt.cc:643
void flux(const double &time, const Vector< double > &x, double &flux)
Get flux applied along boundary x=0.
Definition: pretend_melt.cc:59
@ W
Definition: quadtree.h:63

References Global_Variables::Dim, ProblemParameters::flux(), oomph::get_flux(), i, oomph::BoundaryNodeBase::index_of_first_value_assigned_by_face_element(), J, GlobalParameters::melt_flux(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, s, oomph::Node::value(), w, and oomph::QuadTreeNames::W.

Referenced by oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::fill_in_contribution_to_residuals().

◆ flux_fct_pt()

template<class ELEMENT >
UnsteadyHeatPrescribedFluxFctPt& oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::flux_fct_pt ( )
inline

Access function for the prescribed-flux function pointer.

89 {return Flux_fct_pt;}

References oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::Flux_fct_pt.

Referenced by UnsteadyHeatProblem< ELEMENT >::complete_problem_setup().

◆ get_flux()

template<class ELEMENT >
void oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::get_flux ( const double time,
const Vector< double > &  x,
double flux 
)
inlineprotected

Function to calculate the prescribed flux at a given spatial position and at a given time

362  {
363  //If the function pointer is zero return zero
364  if(Flux_fct_pt == 0)
365  {
366  flux=0.0;
367  }
368  //Otherwise call the function
369  else
370  {
371  (*Flux_fct_pt)(time,x,flux);
372  }
373  }
list x
Definition: plotDoE.py:28

References ProblemParameters::flux(), oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::Flux_fct_pt, and plotDoE::x.

Referenced by oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::output().

◆ melt_temperature()

template<class ELEMENT >
double oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::melt_temperature ( )
inline

Melt temperature.

297  {
298  if (Melt_temperature_pt==0)
299  {
300  return 0.0;
301  }
302  else
303  {
304  return *Melt_temperature_pt;
305  }
306  }

References oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::Melt_temperature_pt.

Referenced by oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::plot_residual_landscape().

◆ melt_temperature_pt()

template<class ELEMENT >
double*& oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::melt_temperature_pt ( )
inline

Pointer to (non-default) melt temperature.

310  {
311  return Melt_temperature_pt;
312  }

References oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::Melt_temperature_pt.

Referenced by UnsteadyHeatProblem< ELEMENT >::complete_problem_setup().

◆ output() [1/4]

template<class ELEMENT >
void oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::output ( FILE *  file_pt)
inlinevirtual

C-style output function – forward to broken version in FiniteElement until somebody decides what exactly they want to plot here...

Reimplemented from oomph::FiniteElement.

void output(std::ostream &outfile, const unsigned &nplot)
Overload output function.
Definition: overloaded_element_body.h:490

References output().

◆ output() [2/4]

template<class ELEMENT >
void oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::output ( FILE *  file_pt,
const unsigned n_plot 
)
inlinevirtual

C-style output function – forward to broken version in FiniteElement until somebody decides what exactly they want to plot here...

Reimplemented from oomph::FiniteElement.

223  {FaceGeometry<ELEMENT>::output(file_pt,n_plot);}

References output().

◆ output() [3/4]

template<class ELEMENT >
void oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::output ( std::ostream &  outfile)
inlinevirtual

Output function.

Reimplemented from oomph::FiniteElement.

111  {
112  unsigned nplot=5;
113  output(outfile,nplot);
114  }
void output(std::ostream &outfile)
Output function.
Definition: unsteady_heat_flux_pseudo_melt_elements.h:110

◆ output() [4/4]

template<class ELEMENT >
void oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::output ( std::ostream &  outfile,
const unsigned n_plot 
)
inlinevirtual

Output function.

Reimplemented from oomph::FiniteElement.

118  {
119  // Locally cache the index at which the variable is stored
120  const unsigned u_index_ust_heat = U_index_ust_heat;
121 
122  // Get continuous time from timestepper of first node
123  double time=node_pt(0)->time_stepper_pt()->time_pt()->time();
124 
125  //Find out how many nodes there are
126  const unsigned n_node = nnode();
127 
128  //Set up memory for the shape functions
129  Shape psi(n_node);
130 
131  // Local and global coordinates
132  Vector<double> s(Dim-1);
133  Vector<double> interpolated_x(Dim);
134 
135  // Tecplot header info
136  outfile << this->tecplot_zone_string(n_plot);
137 
138  // Loop over plot points
139  unsigned num_plot_points=this->nplot_points(n_plot);
140  for (unsigned iplot=0;iplot<num_plot_points;iplot++)
141  {
142  // Get local coordinates of plot point
143  this->get_s_plot(iplot,n_plot,s);
144 
145  // Outer unit normal
146  Vector<double> unit_normal(Dim);
147  outer_unit_normal(s,unit_normal);
148 
149  //Find the shape functions
150  shape(s,psi);
151 
152  // Melt flux
153  double melt_flux=0.0;
154 
155  // Temperature
156  double u=0.0;
157 
158  //Initialise to zero
159  for(unsigned i=0;i<Dim;i++)
160  {
161  interpolated_x[i] = 0.0;
162  }
163 
164  //Calculate stuff
165  for(unsigned l=0;l<n_node;l++)
166  {
167  // get the node pt
168  Node* nod_pt = node_pt(l);
169 
170  // Cast to a boundary node
171  BoundaryNodeBase *bnod_pt =
172  dynamic_cast<BoundaryNodeBase*>(nod_pt);
173 
174  // Get the index of the first nodal value associated with
175  // this FaceElement
176  unsigned first_index=
177  bnod_pt->index_of_first_value_assigned_by_face_element(Melt_id);
178 
179  // Melt rate
180  melt_flux+=nod_pt->value(first_index)*psi[l];
181 
182  // Temperature
183  u+=nod_pt->value(u_index_ust_heat)*psi[l];
184 
185  //Loop over directions
186  for(unsigned i=0;i<Dim;i++)
187  {
188  interpolated_x[i] += nodal_position(l,i)*psi[l];
189  }
190  }
191 
192  //Get the imposed flux
193  double flux;
195 
196  //Output the x,y,..
197  for(unsigned i=0;i<Dim;i++)
198  {
199  outfile << interpolated_x[i] << " ";
200  }
201 
202  // Output imposed flux and melt flux
203  outfile << flux << " ";
204  outfile << melt_flux << " ";
205 
206  // Output normal
207  for(unsigned i=0;i<Dim;i++)
208  {
209  outfile << unit_normal[i] << " ";
210  }
211  outfile << std::endl;
212  }
213  }
void outer_unit_normal(const Vector< double > &s, Vector< double > &unit_normal) const
Compute outer unit normal at the specified local coordinate.
Definition: elements.cc:6006
virtual std::string tecplot_zone_string(const unsigned &nplot) const
Definition: elements.h:3161
virtual void shape(const Vector< double > &s, Shape &psi) const =0
virtual void get_s_plot(const unsigned &i, const unsigned &nplot, Vector< double > &s, const bool &shifted_to_interior=false) const
Definition: elements.h:3148
virtual unsigned nplot_points(const unsigned &nplot) const
Definition: elements.h:3186

References oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::Dim, ProblemParameters::flux(), oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::get_flux(), oomph::FiniteElement::get_s_plot(), i, oomph::BoundaryNodeBase::index_of_first_value_assigned_by_face_element(), oomph::FaceElement::interpolated_x(), GlobalParameters::melt_flux(), oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::Melt_id, oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_position(), oomph::FiniteElement::node_pt(), oomph::FiniteElement::nplot_points(), oomph::FaceElement::outer_unit_normal(), s, oomph::FiniteElement::shape(), oomph::FiniteElement::tecplot_zone_string(), oomph::Time::time(), oomph::TimeStepper::time_pt(), oomph::Data::time_stepper_pt(), oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::U_index_ust_heat, and oomph::Node::value().

◆ plot_residual_landscape()

template<class ELEMENT >
void oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::plot_residual_landscape ( std::ostream &  landscape_outfile,
std::ostream &  soln_outfile,
Problem problem_pt,
const unsigned j 
)
inline

Plot landscape of residuals for j-th node.

232  {
233  // Which node?
234  Node* nod_pt=this->node_pt(j);
235 
236  // Cast to a boundary node
237  BoundaryNodeBase *bnod_pt =
238  dynamic_cast<BoundaryNodeBase*>(nod_pt);
239 
240  // Get the index of the first nodal value associated with
241  // this FaceElement
242  unsigned first_index=
243  bnod_pt->index_of_first_value_assigned_by_face_element(Melt_id);
244 
245  // Backup values
246  double u_back=nod_pt->value(U_index_ust_heat);
247  double m_back=nod_pt->value(first_index);
248 
249  int global_eqn_u = nod_pt->eqn_number(U_index_ust_heat);
250  int global_eqn_m = nod_pt->eqn_number(first_index);
251 
252  if (global_eqn_u<0) abort();
253  if (global_eqn_m<0) abort();
254 
255  // Output actual solution
256  DoubleVector residuals;
257  problem_pt->get_residuals(residuals);
258  soln_outfile << u_back << " "
259  << m_back << " "
260  << residuals[global_eqn_u] << " "
261  << residuals[global_eqn_m]<< std::endl;
262 
263  // Range of plot values
264  double u_min=melt_temperature()-5.0;
265  double u_max=melt_temperature()+5.0;
266  double m_min=-5.0;
267  double m_max=5.0;
268 
269  unsigned nplot=100;
270  landscape_outfile << "ZONE I=" << nplot << ", J=" << nplot << std::endl;
271  for (unsigned i=0;i<nplot;i++)
272  {
273  double x0=u_min+(u_max-u_min)*double(i)/double(nplot-1);
274  for (unsigned j=0;j<nplot;j++)
275  {
276  double x1=m_min+(m_max-m_min)*double(j)/double(nplot-1);
277 
278  nod_pt->set_value(U_index_ust_heat,x0);
279  nod_pt->set_value(first_index,x1);
280 
281  problem_pt->get_residuals(residuals);
282  landscape_outfile << x0 << " "
283  << x1 << " "
284  << residuals[global_eqn_u] << " "
285  << residuals[global_eqn_m] << std::endl;
286  }
287  }
288 
289  // Reset values
290  nod_pt->set_value(U_index_ust_heat,u_back);
291  nod_pt->set_value(first_index,m_back);
292  }
std::vector< double > DoubleVector
loads clump configuration
Definition: ClumpInput.h:26
Vector< double > x1(const Vector< double > &coord)
Cartesian coordinates centered at the point (0.5,1)
Definition: poisson/poisson_with_singularity/two_d_poisson.cc:86
Vector< double > x0(2, 0.0)
std::ptrdiff_t j
Definition: tut_arithmetic_redux_minmax.cpp:2

References oomph::Data::eqn_number(), oomph::Problem::get_residuals(), i, oomph::BoundaryNodeBase::index_of_first_value_assigned_by_face_element(), j, oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::Melt_id, oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::melt_temperature(), oomph::FiniteElement::node_pt(), oomph::Data::set_value(), oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::U_index_ust_heat, oomph::Node::value(), Global::x0, and Global_parameters::x1().

◆ shape_and_test()

template<class ELEMENT >
double oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::shape_and_test ( const Vector< double > &  s,
Shape psi,
Shape test 
) const
inlineprotected

Function to compute the shape and test functions and to return the Jacobian of mapping between local and global (Eulerian) coordinates

345  {
346  //Find number of nodes
347  unsigned n_node = nnode();
348 
349  //Get the shape functions
350  shape(s,psi);
351 
352  //Set the test functions to be the same as the shape functions
353  for(unsigned i=0;i<n_node;i++) {test[i] = psi[i];}
354 
355  //Return the value of the jacobian
356  return J_eulerian(s);
357  }
double J_eulerian(const Vector< double > &s) const
Definition: elements.cc:5242
Definition: indexed_view.cpp:20

References i, oomph::FaceElement::J_eulerian(), oomph::FiniteElement::nnode(), s, and oomph::FiniteElement::shape().

◆ zeta_nodal()

template<class ELEMENT >
double oomph::UnsteadyHeatFluxPseudoMeltElement< ELEMENT >::zeta_nodal ( const unsigned n,
const unsigned k,
const unsigned i 
) const
inlinevirtual

Specify the value of nodal zeta from the face geometry The "global" intrinsic coordinate of the element when viewed as part of a geometric object should be given by the FaceElement representation, by default (needed to break indeterminacy if bulk element is SolidElement)

Reimplemented from oomph::FiniteElement.

107  {return FaceElement::zeta_nodal(n,k,i);}
const unsigned n
Definition: CG3DPackingUnitTest.cpp:11
double zeta_nodal(const unsigned &n, const unsigned &k, const unsigned &i) const
Definition: elements.h:4497
char char char int int * k
Definition: level2_impl.h:374

References i, k, n, and oomph::FaceElement::zeta_nodal().

Member Data Documentation

◆ Dim

◆ Flux_fct_pt

◆ Melt_id

◆ Melt_temperature_pt

◆ U_index_ust_heat


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