1D mesh parametrised in terms of a 1D Lagrangian coordinate. The Eulerian positions of the nodes are determined by the GeomObject. More...

#include <one_d_lagrangian_mesh.template.h>

Inheritance diagram for oomph::OneDLagrangianMesh< ELEMENT >:

Public Member Functions
	OneDLagrangianMesh (const unsigned &n_element, const double &length, GeomObject undef_eulerian_posn_pt, TimeStepper time_stepper_pt=&Mesh::Default_TimeStepper)
	Constructor: Pass number of elements, length, pointer to GeomObject that defines the undeformed Eulerian position, and the timestepper – defaults to (Steady) default timestepper defined in the Mesh base class. More...

	OneDLagrangianMesh (const unsigned &n_element, const double &xmin, const double &xmax, GeomObject undef_eulerian_posn_pt, TimeStepper time_stepper_pt=&Mesh::Default_TimeStepper)
	Constructor: Pass number of elements, xmin, xmax pointer to GeomObject that defines the undeformed Eulerian position, and the timestepper – defaults to (Steady) default timestepper defined in the Mesh base class. More...

void	assign_undeformed_positions ()
	Assign the undeformed Eulerian positions to the nodes. More...

Public Member Functions inherited from oomph::OneDMesh< ELEMENT >
	OneDMesh (const unsigned &n_element, const double &length, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
	Constructor: Pass number of elements, n_element, length of domain, length, and pointer to timestepper (defaults to a Steady timestepper so we don't need to specify one in problems without time-dependence). More...

	OneDMesh (const unsigned &n_element, const double &xmin, const double &xmax, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
	Constructor: Pass number of elements, n_element, minimum coordinate, xmin, maximum coordinate, xmax, and a pointer to a timestepper. More...

Private Member Functions
void	assign_default_element_gradients ()
	Set the default gradients of the elements. More...

Private Attributes
GeomObject *	Undef_eulerian_posn_pt
	Undeformed Eulerian shape. More...

Additional Inherited Members
Protected Member Functions inherited from oomph::OneDMesh< ELEMENT >
void	check_1d () const
	Mesh can only be built with 1D elements (but can be either T or Q so can't use the normal assert_geometric_element function. More...

void	build_mesh (TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
	Generic mesh constuction routine, called by all constructors. More...

Protected Attributes inherited from oomph::OneDMesh< ELEMENT >
double	Xmin
	Minimum coordinate. More...

double	Xmax
	Maximum coordinate. More...

double	Length
	Length of the domain. More...

unsigned	N
	Number of elements. More...

Detailed Description

template<class ELEMENT>
class oomph::OneDLagrangianMesh< ELEMENT >

1D mesh parametrised in terms of a 1D Lagrangian coordinate. The Eulerian positions of the nodes are determined by the GeomObject.

Definition at line 45 of file one_d_lagrangian_mesh.template.h.

Constructor & Destructor Documentation

◆ OneDLagrangianMesh() [1/2]

template<class ELEMENT >

oomph::OneDLagrangianMesh< ELEMENT >::OneDLagrangianMesh	(	const unsigned &	n_element,
		const double &	length,
		GeomObject *	undef_eulerian_posn_pt,
		TimeStepper *	time_stepper_pt = `&Mesh::Default_TimeStepper`
	)

Constructor: Pass number of elements, length, pointer to GeomObject that defines the undeformed Eulerian position, and the timestepper – defaults to (Steady) default timestepper defined in the Mesh base class.

Constructor for 1D mesh: n_element : number of elements length : length of domain undef_eulerian_posn_pt: pointer to geom object that describes the initial Eulerian position of the mesh. time_stepper_pt : timestepper.

Definition at line 47 of file one_d_lagrangian_mesh.template.cc.

References oomph::OneDLagrangianMesh< ELEMENT >::assign_default_element_gradients(), and oomph::OneDLagrangianMesh< ELEMENT >::assign_undeformed_positions().

◆ OneDLagrangianMesh() [2/2]

template<class ELEMENT >

oomph::OneDLagrangianMesh< ELEMENT >::OneDLagrangianMesh	(	const unsigned &	n_element,
		const double &	xmin,
		const double &	xmax,
		GeomObject *	undef_eulerian_posn_pt,
		TimeStepper *	time_stepper_pt = `&Mesh::Default_TimeStepper`
	)

Constructor: Pass number of elements, xmin, xmax pointer to GeomObject that defines the undeformed Eulerian position, and the timestepper – defaults to (Steady) default timestepper defined in the Mesh base class.

Constructor for 1D mesh: n_element : number of elements xmin : minimum coordinate value (LH end) xmax : maximum coordinate value (RH end) undef_eulerian_posn_pt: pointer to geom object that describes the initial Eulerian position of the mesh. time_stepper_pt : timestepper.

Definition at line 78 of file one_d_lagrangian_mesh.template.cc.

References oomph::OneDLagrangianMesh< ELEMENT >::assign_default_element_gradients(), and oomph::OneDLagrangianMesh< ELEMENT >::assign_undeformed_positions().

Member Function Documentation

◆ assign_default_element_gradients()

template<class ELEMENT >

void oomph::OneDLagrangianMesh< ELEMENT >::assign_default_element_gradients

private

Set the default gradients of the elements.

Set the default (initial) gradients within each element, which are merely the distances between the nodes, scaled by 0.5 because the elements have length 2 in local coordinates. N.B. This only works for QHermiteElements at the moment.

Definition at line 108 of file one_d_lagrangian_mesh.template.cc.

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