QMacroElement specialised to 3 spatial dimensions. More...

#include <macro_element.h>

Inheritance diagram for oomph::QMacroElement< 3 >:

Public Member Functions
	QMacroElement (Domain *domain_pt, const unsigned &macro_element_number)
	Constructor: Pass the pointer to the domain and the macro element's number within this domain.

	QMacroElement ()
	Default constructor (empty and broken)

	QMacroElement (const QMacroElement &dummy)=delete
	Broken copy constructor.

void	operator= (const QMacroElement &)=delete
	Broken assignment operator.

virtual	~QMacroElement ()
	Empty destructor.

void	output (const unsigned &t, std::ostream &outfile, const unsigned &nplot)
	Plot: x,y in tecplot format at time level t (t=0: current; t>0: previous)

void	output_macro_element_boundaries (std::ostream &outfile, const unsigned &nplot)
	Output all macro element boundaries as tecplot zones.

void	macro_map (const unsigned &t, const Vector< double > &S, Vector< double > &r)
	Get global position r(S) at discrete time level t. t=0: Present time; t>0: previous timestep.

Public Member Functions inherited from oomph::MacroElement
	MacroElement (Domain *domain_pt, const unsigned &macro_element_number)
	Constructor: Pass pointer to Domain and the number of the MacroElement within that Domain.

	MacroElement ()
	Default constructor (empty and broken)

	MacroElement (const MacroElement &dummy)=delete
	Broken copy constructor.

void	operator= (const MacroElement &)=delete
	Broken assignment operator.

virtual	~MacroElement ()
	Empty destructor.

void	output (std::ostream &outfile, const int &nplot)
	Plot: x,y (or x,y,z) at current time in tecplot format.

void	macro_map (const Vector< double > &s, Vector< double > &r)
	The mapping from local to global coordinates at the current time : r(s)

virtual void	macro_map (const double &t, const Vector< double > &s, Vector< double > &r)
	Get global position r(s) at continuous time value, t.

virtual void	assemble_macro_to_eulerian_jacobian (const unsigned &t, const Vector< double > &s, DenseMatrix< double > &jacobian)
	the jacobian of the mapping from the macro coordinates to the global coordinates

virtual void	assemble_macro_to_eulerian_jacobian2 (const unsigned &t, const Vector< double > &s, DenseMatrix< double > &jacobian2)
	Assembles the second derivative jacobian of the mapping from the macro coordinates to the global coordinates.

void	assemble_macro_to_eulerian_jacobian (const Vector< double > &s, DenseMatrix< double > &jacobian)
	Assembles the jacobian of the mapping from the macro coordinates to the global coordinates.

void	assemble_macro_to_eulerian_jacobian2 (const Vector< double > &s, DenseMatrix< double > &jacobian2)
	Assembles the second derivative jacobian of the mapping from the macro coordinates to the global coordinates.

unsigned &	macro_element_number ()
	Access function to the Macro_element_number.

Domain *&	domain_pt ()
	Access function to the Domain_pt.

Additional Inherited Members
Protected Attributes inherited from oomph::MacroElement
Domain *	Domain_pt
	Pointer to domain.

unsigned	Macro_element_number
	What is the number of the current macro element within its domain.

Detailed Description

QMacroElement specialised to 3 spatial dimensions.

The macro element mapping is based on the member function pointer to the associated Domain 's

Domain::macro_element_boundary(...)

oomph::Domain::macro_element_boundary

virtual void macro_element_boundary(const unsigned &t, const unsigned &i_macro, const unsigned &i_direct, const Vector< double > &s, Vector< double > &f)=0

Vector representation of the i_macro-th macro element boundary i_direct (e.g. N/S/W/E in 2D) at time ...

function which provides a parametrisation of the macro element's boundaries in the form:

${\bf f}_{i} (t,{\bf S})$

where

labels the boundary (L/R/D/U/B/F)
${\bf S} \in [-1,1]^2$ is the (2D) Vector of local coordinate(s) along the boundary.
${\bf f}$ is the position Vector to the boundary.
is the time level (t=0: current; t>0 previous timestep)