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

#include <navier_stokes_surface_power_elements.h>

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

Public Member Functions

 NavierStokesSurfacePowerElement (FiniteElement *const &element_pt, const int &face_index)
 
double zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const
 
Vector< double > drag_force ()
 Get drag force (traction acting on fluid) More...
 
Vector< double > drag_force (std::ofstream &outfile)
 
double get_rate_of_traction_work ()
 
double get_rate_of_traction_work (std::ofstream &outfile)
 
void get_rate_of_traction_work_components (double &rate_of_work_integral_p, double &rate_of_work_integral_n, double &rate_of_work_integral_t)
 
void get_rate_of_traction_work_components (std::ofstream &outfile, double &rate_of_work_integral_p, double &rate_of_work_integral_n, double &rate_of_work_integral_t)
 
double get_kinetic_energy_flux ()
 Get integral of kinetic energy flux. More...
 
double get_kinetic_energy_flux (std::ofstream &outfile)
 Get integral of kinetic energy flux and doc. More...
 
double get_volume_flux ()
 Get integral of volume flux. More...
 
double get_volume_flux (std::ofstream &outfile)
 Get integral of volume flux and doc. 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 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 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 (std::ostream &outfile)
 
virtual void output (std::ostream &outfile, const unsigned &n_plot)
 
virtual void output (const unsigned &t, std::ostream &outfile, const unsigned &n_plot) const
 
virtual void output (FILE *file_pt)
 
virtual void output (FILE *file_pt, const unsigned &n_plot)
 
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 ()
 
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 Attributes

unsigned Dim
 The highest dimension of the problem. More...
 

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::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)
 
virtual void fill_in_contribution_to_residuals (Vector< double > &residuals)
 
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::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::NavierStokesSurfacePowerElement< ELEMENT >

A class of elements that allow the determination of the power input and various other fluxes over the domain boundaries. The element operates as a FaceElement and attaches itself to a bulk element of the type specified by the template argument.

Constructor & Destructor Documentation

◆ NavierStokesSurfacePowerElement()

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

Constructor, which takes a "bulk" element and the value of the index and its limit

58  : FaceGeometry<ELEMENT>(), FaceElement()
59  {
60  // Attach the geometrical information to the element. N.B. This function
61  // also assigns nbulk_value from the required_nvalue of the bulk element
62  element_pt->build_face_element(face_index, this);
63 
64  // Set the dimension from the dimension of the first node
65  Dim = node_pt(0)->ndim();
66  }
oomph::FaceElement::face_index
int & face_index()
Definition: elements.h:4626
oomph::FaceElement::FaceElement
FaceElement()
Constructor: Initialise all appropriate member data.
Definition: elements.h:4446
oomph::FiniteElement::node_pt
Node *& node_pt(const unsigned &n)
Return a pointer to the local node n.
Definition: elements.h:2175
oomph::NavierStokesSurfacePowerElement::Dim
unsigned Dim
The highest dimension of the problem.
Definition: navier_stokes_surface_power_elements.h:840
oomph::Node::ndim
unsigned ndim() const
Return (Eulerian) spatial dimension of the node.
Definition: nodes.h:1054

References oomph::FiniteElement::build_face_element(), oomph::NavierStokesSurfacePowerElement< ELEMENT >::Dim, oomph::FaceElement::face_index(), oomph::Node::ndim(), and oomph::FiniteElement::node_pt().

Member Function Documentation

◆ drag_force() [1/2]

template<class ELEMENT >
Vector<double> oomph::NavierStokesSurfacePowerElement< ELEMENT >::drag_force ( )
inline

Get drag force (traction acting on fluid)

85  {
86  std::ofstream dummy_file;
87  return drag_force(dummy_file);
88  }
oomph::NavierStokesSurfacePowerElement::drag_force
Vector< double > drag_force()
Get drag force (traction acting on fluid)
Definition: navier_stokes_surface_power_elements.h:84

◆ drag_force() [2/2]

template<class ELEMENT >
Vector<double> oomph::NavierStokesSurfacePowerElement< ELEMENT >::drag_force ( std::ofstream &  outfile)
inline

Get drag force (traction acting on fluid) Doc in outfile.

94  {
95  // Spatial dimension of element
96  unsigned ndim = dim();
97 
98  // Initialise
99  Vector<double> drag(ndim + 1, 0.0);
100 
101  // Vector of local coordinates in face element
102  Vector<double> s(ndim);
103 
104  // Vector for global Eulerian coordinates
105  Vector<double> x(ndim + 1);
106 
107  // Vector for local coordinates in bulk element
108  Vector<double> s_bulk(ndim + 1);
109 
110  // Set the value of n_intpt
111  unsigned n_intpt = integral_pt()->nweight();
112 
113 
114  // Get pointer to assocated bulk element
115  ELEMENT* bulk_el_pt = dynamic_cast<ELEMENT*>(bulk_element_pt());
116 
117  // Hacky: This is only appropriate for 3 point integration of
118  // 1D line elements
119  if (outfile.is_open()) outfile << "ZONE I=3" << std::endl;
120 
121  // Loop over the integration points
122  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
123  {
124  // Assign values of s in FaceElement and local coordinates in bulk
125  // element
126  for (unsigned i = 0; i < ndim; i++)
127  {
128  s[i] = integral_pt()->knot(ipt, i);
129  }
130 
131  // Get the bulk coordinates
132  this->get_local_coordinate_in_bulk(s, s_bulk);
133 
134  // Get the integral weight
135  double w = integral_pt()->weight(ipt);
136 
137  // Get jacobian of mapping
138  double J = J_eulerian(s);
139 
140  // Premultiply the weights and the Jacobian
141  double W = w * J;
142 
143  // Get x position as Vector
144  interpolated_x(s, x);
145 
146 #ifdef PARANOID
147 
148  // Get x position as Vector from bulk element
149  Vector<double> x_bulk(ndim + 1);
150  bulk_el_pt->interpolated_x(s_bulk, x_bulk);
151 
152  double max_legal_error = 1.0e-5;
153  double error = 0.0;
154  for (unsigned i = 0; i < ndim + 1; i++)
155  {
156  error += fabs(x[i] - x_bulk[i]);
157  }
158  if (error > max_legal_error)
159  {
160  std::ostringstream error_stream;
161  error_stream << "difference in Eulerian posn from bulk and face: "
162  << error << " exceeds threshold " << max_legal_error
163  << std::endl;
164  throw OomphLibError(error_stream.str(),
165  OOMPH_CURRENT_FUNCTION,
166  OOMPH_EXCEPTION_LOCATION);
167  }
168 #endif
169 
170  // Outer unit normal
171  Vector<double> normal(ndim + 1);
172  outer_unit_normal(s, normal);
173 
174  // Get velocity from bulk element
175  Vector<double> veloc(ndim + 1);
176  bulk_el_pt->interpolated_u_nst(s_bulk, veloc);
177 
178  // Get traction from bulk element
179  Vector<double> traction(ndim + 1);
180  bulk_el_pt->get_traction(s_bulk, normal, traction);
181 
182  // Integrate
183  for (unsigned i = 0; i < ndim + 1; i++)
184  {
185  drag[i] += traction[i] * W;
186  }
187 
188  if (outfile.is_open())
189  {
190  // Output x,y,...,
191  for (unsigned i = 0; i < ndim + 1; i++)
192  {
193  outfile << x[i] << " ";
194  }
195 
196  // Output traction
197  for (unsigned i = 0; i < ndim + 1; i++)
198  {
199  outfile << traction[i] << " ";
200  }
201 
202 
203  // Output normal
204  for (unsigned i = 0; i < ndim + 1; i++)
205  {
206  outfile << normal[i] << " ";
207  }
208 
209  outfile << std::endl;
210  }
211  }
212  return drag;
213  }
i
int i
Definition: BiCGSTAB_step_by_step.cpp:9
J
JacobiRotation< float > J
Definition: Jacobi_makeJacobi.cpp:3
w
RowVector3d w
Definition: Matrix_resize_int.cpp:3
oomph::FaceElement::outer_unit_normal
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
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::FaceElement::J_eulerian
double J_eulerian(const Vector< double > &s) const
Definition: elements.cc:5242
oomph::FaceElement::get_local_coordinate_in_bulk
void get_local_coordinate_in_bulk(const Vector< double > &s, Vector< double > &s_bulk) const
Definition: elements.cc:6384
oomph::FiniteElement::dim
unsigned dim() const
Definition: elements.h:2611
oomph::FiniteElement::integral_pt
Integral *const & integral_pt() const
Return the pointer to the integration scheme (const version)
Definition: elements.h:1963
oomph::GeomObject::ndim
unsigned ndim() const
Access function to # of Eulerian coordinates.
Definition: geom_objects.h:177
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
WallFunction::normal
void normal(const Vector< double > &x, Vector< double > &normal)
Definition: free_surface_rotation.cc:65
boost::multiprecision::fabs
Real fabs(const Real &a)
Definition: boostmultiprec.cpp:117
calibrate.error
int error
Definition: calibrate.py:297
oomph::QuadTreeNames::W
@ W
Definition: quadtree.h:63
plotDoE.x
list x
Definition: plotDoE.py:28
OOMPH_EXCEPTION_LOCATION
#define OOMPH_EXCEPTION_LOCATION
Definition: oomph_definitions.h:61
OOMPH_CURRENT_FUNCTION
#define OOMPH_CURRENT_FUNCTION
Definition: oomph_definitions.h:86

References oomph::FaceElement::bulk_element_pt(), oomph::FiniteElement::dim(), calibrate::error, boost::multiprecision::fabs(), oomph::FaceElement::get_local_coordinate_in_bulk(), i, oomph::FiniteElement::integral_pt(), oomph::FaceElement::interpolated_x(), J, oomph::FaceElement::J_eulerian(), oomph::Integral::knot(), oomph::GeomObject::ndim(), WallFunction::normal(), oomph::Integral::nweight(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::FaceElement::outer_unit_normal(), s, w, oomph::QuadTreeNames::W, oomph::Integral::weight(), and plotDoE::x.

◆ get_kinetic_energy_flux() [1/2]

template<class ELEMENT >
double oomph::NavierStokesSurfacePowerElement< ELEMENT >::get_kinetic_energy_flux ( )
inline

Get integral of kinetic energy flux.

564  {
565  std::ofstream dummy_file;
566  return get_kinetic_energy_flux(dummy_file);
567  }
oomph::NavierStokesSurfacePowerElement::get_kinetic_energy_flux
double get_kinetic_energy_flux()
Get integral of kinetic energy flux.
Definition: navier_stokes_surface_power_elements.h:563

◆ get_kinetic_energy_flux() [2/2]

template<class ELEMENT >
double oomph::NavierStokesSurfacePowerElement< ELEMENT >::get_kinetic_energy_flux ( std::ofstream &  outfile)
inline

Get integral of kinetic energy flux and doc.

572  {
573  // Initialise
574  double kinetic_energy_flux_integral = 0.0;
575 
576  // Spatial dimension of element
577  unsigned ndim = dim();
578 
579  // Vector of local coordinates in face element
580  Vector<double> s(ndim);
581 
582  // Vector for global Eulerian coordinates
583  Vector<double> x(ndim + 1);
584 
585  // Vector for local coordinates in bulk element
586  Vector<double> s_bulk(ndim + 1);
587 
588  // Set the value of n_intpt
589  unsigned n_intpt = integral_pt()->nweight();
590 
591  // Get pointer to assocated bulk element
592  ELEMENT* bulk_el_pt = dynamic_cast<ELEMENT*>(bulk_element_pt());
593 
594  // Hacky: This is only appropriate for 3x3 integration of
595  // 2D quad elements
596  if (outfile.is_open()) outfile << "ZONE I=3, J=3" << std::endl;
597 
598  // Loop over the integration points
599  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
600  {
601  // Assign values of s in FaceElement and local coordinates in bulk
602  // element
603  for (unsigned i = 0; i < ndim; i++)
604  {
605  s[i] = integral_pt()->knot(ipt, i);
606  }
607 
608  // Get the bulk coordinates
609  this->get_local_coordinate_in_bulk(s, s_bulk);
610 
611  // Get the integral weight
612  double w = integral_pt()->weight(ipt);
613 
614  // Get jacobian of mapping
615  double J = J_eulerian(s);
616 
617  // Premultiply the weights and the Jacobian
618  double W = w * J;
619 
620  // Get x position as Vector
621  interpolated_x(s, x);
622 
623 #ifdef PARANOID
624 
625  // Get x position as Vector from bulk element
626  Vector<double> x_bulk(ndim + 1);
627  bulk_el_pt->interpolated_x(s_bulk, x_bulk);
628 
629  double max_legal_error = 1.0e-5;
630  double error = 0.0;
631  for (unsigned i = 0; i < ndim + 1; i++)
632  {
633  error += fabs(x[i] - x_bulk[i]);
634  }
635  if (error > max_legal_error)
636  {
637  std::ostringstream error_stream;
638  error_stream << "difference in Eulerian posn from bulk and face: "
639  << error << " exceeds threshold " << max_legal_error
640  << std::endl;
641  throw OomphLibError(error_stream.str(),
642  OOMPH_CURRENT_FUNCTION,
643  OOMPH_EXCEPTION_LOCATION);
644  }
645 #endif
646 
647  // Outer unit normal
648  Vector<double> normal(ndim + 1);
649  outer_unit_normal(s, normal);
650 
651  // Get velocity from bulk element
652  Vector<double> veloc(ndim + 1);
653  bulk_el_pt->interpolated_u_nst(s_bulk, veloc);
654 
655  double kin_energy = 0.0;
656  for (unsigned i = 0; i < ndim + 1; i++)
657  {
658  kin_energy += veloc[i] * veloc[i];
659  }
660  kin_energy *= 0.5;
661 
662  // Kinetic energy flux
663  double kin_energy_flux = 0.0;
664  for (unsigned i = 0; i < ndim + 1; i++)
665  {
666  kin_energy_flux += kin_energy * normal[i] * veloc[i];
667  }
668 
669  // Add to integral
670  kinetic_energy_flux_integral += kin_energy_flux * W;
671 
672  if (outfile.is_open())
673  {
674  // Output x,y,...,
675  for (unsigned i = 0; i < ndim + 1; i++)
676  {
677  outfile << x[i] << " ";
678  }
679 
680  // Output veloc
681  for (unsigned i = 0; i < ndim + 1; i++)
682  {
683  outfile << veloc[i] << " ";
684  }
685 
686  // Output normal
687  for (unsigned i = 0; i < ndim + 1; i++)
688  {
689  outfile << normal[i] << " ";
690  }
691 
692  // Output local kin energy flux
693  outfile << kin_energy_flux << " ";
694 
695  outfile << std::endl;
696  }
697  }
698 
699  return kinetic_energy_flux_integral;
700  }

References oomph::FaceElement::bulk_element_pt(), oomph::FiniteElement::dim(), calibrate::error, boost::multiprecision::fabs(), oomph::FaceElement::get_local_coordinate_in_bulk(), i, oomph::FiniteElement::integral_pt(), oomph::FaceElement::interpolated_x(), J, oomph::FaceElement::J_eulerian(), oomph::Integral::knot(), oomph::GeomObject::ndim(), WallFunction::normal(), oomph::Integral::nweight(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::FaceElement::outer_unit_normal(), s, w, oomph::QuadTreeNames::W, oomph::Integral::weight(), and plotDoE::x.

◆ get_rate_of_traction_work() [1/2]

template<class ELEMENT >
double oomph::NavierStokesSurfacePowerElement< ELEMENT >::get_rate_of_traction_work ( )
inline

Get integral of instantaneous rate of work done by the traction that's exerted onto the fluid.

218  {
219  std::ofstream dummy_file;
220  return get_rate_of_traction_work(dummy_file);
221  }
oomph::NavierStokesSurfacePowerElement::get_rate_of_traction_work
double get_rate_of_traction_work()
Definition: navier_stokes_surface_power_elements.h:217

◆ get_rate_of_traction_work() [2/2]

template<class ELEMENT >
double oomph::NavierStokesSurfacePowerElement< ELEMENT >::get_rate_of_traction_work ( std::ofstream &  outfile)
inline

Get integral of instantaneous rate of work done by the traction that's exerted onto the fluid. Doc in outfile.

227  {
228  // Initialise
229  double rate_of_work_integral = 0.0;
230 
231  // Spatial dimension of element
232  unsigned ndim = dim();
233 
234  // Vector of local coordinates in face element
235  Vector<double> s(ndim);
236 
237  // Vector for global Eulerian coordinates
238  Vector<double> x(ndim + 1);
239 
240  // Vector for local coordinates in bulk element
241  Vector<double> s_bulk(ndim + 1);
242 
243  // Set the value of n_intpt
244  unsigned n_intpt = integral_pt()->nweight();
245 
246 
247  // Get pointer to assocated bulk element
248  ELEMENT* bulk_el_pt = dynamic_cast<ELEMENT*>(bulk_element_pt());
249 
250  // Hacky: This is only appropriate for 3x3 integration of
251  // 2D quad elements
252  if (outfile.is_open()) outfile << "ZONE I=3, J=3" << std::endl;
253 
254  // Loop over the integration points
255  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
256  {
257  // Assign values of s in FaceElement and local coordinates in bulk
258  // element
259  for (unsigned i = 0; i < ndim; i++)
260  {
261  s[i] = integral_pt()->knot(ipt, i);
262  }
263 
264  // Get the bulk coordinates
265  this->get_local_coordinate_in_bulk(s, s_bulk);
266 
267  // Get the integral weight
268  double w = integral_pt()->weight(ipt);
269 
270  // Get jacobian of mapping
271  double J = J_eulerian(s);
272 
273  // Premultiply the weights and the Jacobian
274  double W = w * J;
275 
276  // Get x position as Vector
277  interpolated_x(s, x);
278 
279 #ifdef PARANOID
280 
281  // Get x position as Vector from bulk element
282  Vector<double> x_bulk(ndim + 1);
283  bulk_el_pt->interpolated_x(s_bulk, x_bulk);
284 
285  double max_legal_error = 1.0e-5;
286  double error = 0.0;
287  for (unsigned i = 0; i < ndim + 1; i++)
288  {
289  error += fabs(x[i] - x_bulk[i]);
290  }
291  if (error > max_legal_error)
292  {
293  std::ostringstream error_stream;
294  error_stream << "difference in Eulerian posn from bulk and face: "
295  << error << " exceeds threshold " << max_legal_error
296  << std::endl;
297  throw OomphLibError(error_stream.str(),
298  OOMPH_CURRENT_FUNCTION,
299  OOMPH_EXCEPTION_LOCATION);
300  }
301 #endif
302 
303  // Outer unit normal
304  Vector<double> normal(ndim + 1);
305  outer_unit_normal(s, normal);
306 
307 
308  // Get velocity from bulk element
309  Vector<double> veloc(ndim + 1);
310  bulk_el_pt->interpolated_u_nst(s_bulk, veloc);
311 
312  // Get traction from bulk element
313  Vector<double> traction(ndim + 1);
314  bulk_el_pt->get_traction(s_bulk, normal, traction);
315 
316 
317  // Local rate of work:
318  double rate_of_work = 0.0;
319  for (unsigned i = 0; i < ndim + 1; i++)
320  {
321  rate_of_work += traction[i] * veloc[i];
322  }
323 
324  // Add rate of work
325  rate_of_work_integral += rate_of_work * W;
326 
327  if (outfile.is_open())
328  {
329  // Output x,y,...,
330  for (unsigned i = 0; i < ndim + 1; i++)
331  {
332  outfile << x[i] << " ";
333  }
334 
335  // Output traction
336  for (unsigned i = 0; i < ndim + 1; i++)
337  {
338  outfile << traction[i] << " ";
339  }
340 
341  // Output veloc
342  for (unsigned i = 0; i < ndim + 1; i++)
343  {
344  outfile << veloc[i] << " ";
345  }
346 
347  // Output normal
348  for (unsigned i = 0; i < ndim + 1; i++)
349  {
350  outfile << normal[i] << " ";
351  }
352 
353  // Output local rate of work
354  for (unsigned i = 0; i < ndim + 1; i++)
355  {
356  outfile << rate_of_work << " ";
357  }
358 
359  outfile << std::endl;
360  }
361  }
362 
363  return rate_of_work_integral;
364  }

References oomph::FaceElement::bulk_element_pt(), oomph::FiniteElement::dim(), calibrate::error, boost::multiprecision::fabs(), oomph::FaceElement::get_local_coordinate_in_bulk(), i, oomph::FiniteElement::integral_pt(), oomph::FaceElement::interpolated_x(), J, oomph::FaceElement::J_eulerian(), oomph::Integral::knot(), oomph::GeomObject::ndim(), WallFunction::normal(), oomph::Integral::nweight(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::FaceElement::outer_unit_normal(), s, w, oomph::QuadTreeNames::W, oomph::Integral::weight(), and plotDoE::x.

◆ get_rate_of_traction_work_components() [1/2]

template<class ELEMENT >
void oomph::NavierStokesSurfacePowerElement< ELEMENT >::get_rate_of_traction_work_components ( double &  rate_of_work_integral_p,
double &  rate_of_work_integral_n,
double &  rate_of_work_integral_t 
)
inline

Get integral of instantaneous rate of work done by the traction that's exerted onto the fluid, decomposed into pressure and normal and tangential viscous components.

373  {
374  std::ofstream dummy_file;
375  get_rate_of_traction_work_components(dummy_file,
376  rate_of_work_integral_p,
377  rate_of_work_integral_n,
378  rate_of_work_integral_t);
379  }
oomph::NavierStokesSurfacePowerElement::get_rate_of_traction_work_components
void get_rate_of_traction_work_components(double &rate_of_work_integral_p, double &rate_of_work_integral_n, double &rate_of_work_integral_t)
Definition: navier_stokes_surface_power_elements.h:370

◆ get_rate_of_traction_work_components() [2/2]

template<class ELEMENT >
void oomph::NavierStokesSurfacePowerElement< ELEMENT >::get_rate_of_traction_work_components ( std::ofstream &  outfile,
double &  rate_of_work_integral_p,
double &  rate_of_work_integral_n,
double &  rate_of_work_integral_t 
)
inline

Get integral of instantaneous rate of work done by the traction that's exerted onto the fluid, decomposed into pressure and normal and tangential viscous components. Doc in outfile.

389  {
390  // Initialise
391  rate_of_work_integral_p = 0;
392  rate_of_work_integral_n = 0;
393  rate_of_work_integral_t = 0;
394 
395  // Spatial dimension of element
396  unsigned ndim = dim();
397 
398  // Vector of local coordinates in face element
399  Vector<double> s(ndim);
400 
401  // Vector for global Eulerian coordinates
402  Vector<double> x(ndim + 1);
403 
404  // Vector for local coordinates in bulk element
405  Vector<double> s_bulk(ndim + 1);
406 
407  // Set the value of n_intpt
408  unsigned n_intpt = integral_pt()->nweight();
409 
410 
411  // Get pointer to assocated bulk element
412  ELEMENT* bulk_el_pt = dynamic_cast<ELEMENT*>(bulk_element_pt());
413 
414  // Hacky: This is only appropriate for 3x3 integration of
415  // 2D quad elements
416  if (outfile.is_open()) outfile << "ZONE I=3, J=3" << std::endl;
417 
418  // Loop over the integration points
419  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
420  {
421  // Assign values of s in FaceElement and local coordinates in bulk
422  // element
423  for (unsigned i = 0; i < ndim; i++)
424  {
425  s[i] = integral_pt()->knot(ipt, i);
426  }
427 
428  // Get the bulk coordinates
429  this->get_local_coordinate_in_bulk(s, s_bulk);
430 
431  // Get the integral weight
432  double w = integral_pt()->weight(ipt);
433 
434  // Get jacobian of mapping
435  double J = J_eulerian(s);
436 
437  // Premultiply the weights and the Jacobian
438  double W = w * J;
439 
440  // Get x position as Vector
441  interpolated_x(s, x);
442 
443 #ifdef PARANOID
444 
445  // Get x position as Vector from bulk element
446  Vector<double> x_bulk(ndim + 1);
447  bulk_el_pt->interpolated_x(s_bulk, x_bulk);
448 
449  double max_legal_error = 1.0e-5;
450  double error = 0.0;
451  for (unsigned i = 0; i < ndim + 1; i++)
452  {
453  error += fabs(x[i] - x_bulk[i]);
454  }
455  if (error > max_legal_error)
456  {
457  std::ostringstream error_stream;
458  error_stream << "difference in Eulerian posn from bulk and face: "
459  << error << " exceeds threshold " << max_legal_error
460  << std::endl;
461  throw OomphLibError(error_stream.str(),
462  OOMPH_CURRENT_FUNCTION,
463  OOMPH_EXCEPTION_LOCATION);
464  }
465 #endif
466 
467  // Outer unit normal
468  Vector<double> normal(ndim + 1);
469  outer_unit_normal(s, normal);
470 
471 
472  // Get velocity from bulk element
473  Vector<double> veloc(ndim + 1);
474  bulk_el_pt->interpolated_u_nst(s_bulk, veloc);
475 
476  // Get traction from bulk element
477  Vector<double> traction_p(ndim + 1);
478  Vector<double> traction_n(ndim + 1);
479  Vector<double> traction_t(ndim + 1);
480  bulk_el_pt->get_traction(
481  s_bulk, normal, traction_p, traction_n, traction_t);
482 
483 
484  // Local rate of work:
485  double rate_of_work_p = 0.0;
486  double rate_of_work_n = 0.0;
487  double rate_of_work_t = 0.0;
488  for (unsigned i = 0; i < ndim + 1; i++)
489  {
490  rate_of_work_p += traction_p[i] * veloc[i];
491  rate_of_work_n += traction_n[i] * veloc[i];
492  rate_of_work_t += traction_t[i] * veloc[i];
493  }
494 
495  // Add rate of work
496  rate_of_work_integral_p += rate_of_work_p * W;
497  rate_of_work_integral_n += rate_of_work_n * W;
498  rate_of_work_integral_t += rate_of_work_t * W;
499 
500  if (outfile.is_open())
501  {
502  // Output x,y,...,
503  for (unsigned i = 0; i < ndim + 1; i++)
504  {
505  outfile << x[i] << " ";
506  }
507 
508  // Output traction due to pressure
509  for (unsigned i = 0; i < ndim + 1; i++)
510  {
511  outfile << traction_p[i] << " ";
512  }
513 
514  // Output traction due to viscous normal stress
515  for (unsigned i = 0; i < ndim + 1; i++)
516  {
517  outfile << traction_n[i] << " ";
518  }
519 
520  // Output traction due to viscous tangential stress
521  for (unsigned i = 0; i < ndim + 1; i++)
522  {
523  outfile << traction_t[i] << " ";
524  }
525 
526  // Output veloc
527  for (unsigned i = 0; i < ndim + 1; i++)
528  {
529  outfile << veloc[i] << " ";
530  }
531 
532  // Output normal
533  for (unsigned i = 0; i < ndim + 1; i++)
534  {
535  outfile << normal[i] << " ";
536  }
537 
538  // Output local rate of work due to pressure
539  for (unsigned i = 0; i < ndim + 1; i++)
540  {
541  outfile << rate_of_work_p << " ";
542  }
543 
544  // Output local rate of work due to viscous normal stress
545  for (unsigned i = 0; i < ndim + 1; i++)
546  {
547  outfile << rate_of_work_n << " ";
548  }
549 
550  // Output local rate of work due to viscous tangential stress
551  for (unsigned i = 0; i < ndim + 1; i++)
552  {
553  outfile << rate_of_work_t << " ";
554  }
555 
556  outfile << std::endl;
557  }
558  }
559  }

References oomph::FaceElement::bulk_element_pt(), oomph::FiniteElement::dim(), calibrate::error, boost::multiprecision::fabs(), oomph::FaceElement::get_local_coordinate_in_bulk(), i, oomph::FiniteElement::integral_pt(), oomph::FaceElement::interpolated_x(), J, oomph::FaceElement::J_eulerian(), oomph::Integral::knot(), oomph::GeomObject::ndim(), WallFunction::normal(), oomph::Integral::nweight(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::FaceElement::outer_unit_normal(), s, w, oomph::QuadTreeNames::W, oomph::Integral::weight(), and plotDoE::x.

◆ get_volume_flux() [1/2]

template<class ELEMENT >
double oomph::NavierStokesSurfacePowerElement< ELEMENT >::get_volume_flux ( )
inline

Get integral of volume flux.

705  {
706  std::ofstream dummy_file;
707  return get_volume_flux(dummy_file);
708  }
oomph::NavierStokesSurfacePowerElement::get_volume_flux
double get_volume_flux()
Get integral of volume flux.
Definition: navier_stokes_surface_power_elements.h:704

Referenced by UnstructuredFSIProblem< FLUID_ELEMENT, SOLID_ELEMENT >::doc_solution(), and oomph::NavierStokesFluxControlElement< ELEMENT >::get_volume_flux().

◆ get_volume_flux() [2/2]

template<class ELEMENT >
double oomph::NavierStokesSurfacePowerElement< ELEMENT >::get_volume_flux ( std::ofstream &  outfile)
inline

Get integral of volume flux and doc.

713  {
714  // Initialise
715  double volume_flux_integral = 0.0;
716 
717  // Spatial dimension of element
718  unsigned ndim = dim();
719 
720  // Vector of local coordinates in face element
721  Vector<double> s(ndim);
722 
723  // Vector for global Eulerian coordinates
724  Vector<double> x(ndim + 1);
725 
726  // Vector for local coordinates in bulk element
727  Vector<double> s_bulk(ndim + 1);
728 
729  // Set the value of n_intpt
730  unsigned n_intpt = integral_pt()->nweight();
731 
732  // Get pointer to assocated bulk element
733  ELEMENT* bulk_el_pt = dynamic_cast<ELEMENT*>(bulk_element_pt());
734 
735  // Hacky: This is only appropriate for 3x3 integration of
736  // 2D quad elements
737  if (outfile.is_open()) outfile << "ZONE I=3, J=3" << std::endl;
738 
739  // Loop over the integration points
740  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
741  {
742  // Assign values of s in FaceElement and local coordinates in bulk
743  // element
744  for (unsigned i = 0; i < ndim; i++)
745  {
746  s[i] = integral_pt()->knot(ipt, i);
747  }
748 
749 
750  // Get the bulk coordinates
751  this->get_local_coordinate_in_bulk(s, s_bulk);
752 
753  // Get the integral weight
754  double w = integral_pt()->weight(ipt);
755 
756  // Get jacobian of mapping
757  double J = J_eulerian(s);
758 
759  // Premultiply the weights and the Jacobian
760  double W = w * J;
761 
762  // Get x position as Vector
763  interpolated_x(s, x);
764 
765 #ifdef PARANOID
766 
767  // Get x position as Vector from bulk element
768  Vector<double> x_bulk(ndim + 1);
769  bulk_el_pt->interpolated_x(s_bulk, x_bulk);
770 
771  double max_legal_error = 1.0e-5;
772  double error = 0.0;
773  for (unsigned i = 0; i < ndim + 1; i++)
774  {
775  error += fabs(x[i] - x_bulk[i]);
776  }
777  if (error > max_legal_error)
778  {
779  std::ostringstream error_stream;
780  error_stream << "difference in Eulerian posn from bulk and face: "
781  << error << " exceeds threshold " << max_legal_error
782  << std::endl;
783  throw OomphLibError(error_stream.str(),
784  OOMPH_CURRENT_FUNCTION,
785  OOMPH_EXCEPTION_LOCATION);
786  }
787 #endif
788 
789  // Outer unit normal
790  Vector<double> normal(ndim + 1);
791  outer_unit_normal(s, normal);
792 
793  // Get velocity from bulk element
794  Vector<double> veloc(ndim + 1);
795  bulk_el_pt->interpolated_u_nst(s_bulk, veloc);
796 
797  // Volume flux
798  double volume_flux = 0.0;
799  for (unsigned i = 0; i < ndim + 1; i++)
800  {
801  volume_flux += normal[i] * veloc[i];
802  }
803 
804  // Add to integral
805  volume_flux_integral += volume_flux * W;
806 
807  if (outfile.is_open())
808  {
809  // Output x,y,...,
810  for (unsigned i = 0; i < ndim + 1; i++)
811  {
812  outfile << x[i] << " ";
813  }
814 
815  // Output veloc
816  for (unsigned i = 0; i < ndim + 1; i++)
817  {
818  outfile << veloc[i] << " ";
819  }
820 
821  // Output normal
822  for (unsigned i = 0; i < ndim + 1; i++)
823  {
824  outfile << normal[i] << " ";
825  }
826 
827  // Output local volume flux
828  outfile << volume_flux << " ";
829 
830  outfile << std::endl;
831  }
832  }
833 
834  return volume_flux_integral;
835  }

References oomph::FaceElement::bulk_element_pt(), oomph::FiniteElement::dim(), calibrate::error, boost::multiprecision::fabs(), oomph::FaceElement::get_local_coordinate_in_bulk(), i, oomph::FiniteElement::integral_pt(), oomph::FaceElement::interpolated_x(), J, oomph::FaceElement::J_eulerian(), oomph::Integral::knot(), oomph::GeomObject::ndim(), WallFunction::normal(), oomph::Integral::nweight(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::FaceElement::outer_unit_normal(), s, w, oomph::QuadTreeNames::W, oomph::Integral::weight(), and plotDoE::x.

◆ zeta_nodal()

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

The "global" intrinsic coordinate of the element when viewed as part of a geometric object should be given by the FaceElement representation, by default This final over-ride is required for cases where the FaceElement is a SolidFiniteElement because both SolidFiniteElements and FaceElements overload zeta_nodal.

Reimplemented from oomph::FaceElement.

78  {
79  return FaceElement::zeta_nodal(n, k, i);
80  }
n
const unsigned n
Definition: CG3DPackingUnitTest.cpp:11
oomph::FaceElement::zeta_nodal
double zeta_nodal(const unsigned &n, const unsigned &k, const unsigned &i) const
Definition: elements.h:4497
k
char char char int int * k
Definition: level2_impl.h:374

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

Member Data Documentation

◆ Dim

template<class ELEMENT >
unsigned oomph::NavierStokesSurfacePowerElement< ELEMENT >::Dim
private

The highest dimension of the problem.

Referenced by oomph::NavierStokesSurfacePowerElement< ELEMENT >::NavierStokesSurfacePowerElement().

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