scale_element_quadrilateral::quadrilateralelement Type Reference

Derived type representing a quadrilateral element. More...

Inheritance diagram for scale_element_quadrilateral::quadrilateralelement:

Public Member Functions
procedure	init (elem, elemorder, lumpedmassmatflag)
	Initialize an object to manage a hexahedral element.
procedure	final (elem)
	Finalize an object to manage a quadrilateral element.
procedure	genintgausslegendreintrpmat (this, intrppolyorder, intw_intrp, x_intrp, y_intrp)
Public Member Functions inherited from scale_element_base::elementbase2d
procedure	generate_l2projmat (elem, elem_in, l2projmat)
	Generate a projection matrix for L2 projection. This matrix maps nodal values on elem_in to nodal values on elem. It is intended for p-restriction, i.e. elem order <= elem_in order.
procedure	generate_interpmat (elem, elem_in, interpmat)
	Generate an interpolation matrix by p-prolongation. This matrix maps nodal values on elem_in to nodal values on elem. It is intended for p-prolongation, i.e. elem order >= elem_in order.
procedure	generate_modaltruncationmat (elem, polyorder_tr, truncatemat)
	Generate a nodal-to-nodal transfer matrix to remove several high modes.
Public Member Functions inherited from scale_element_base::elementbase
procedure	islumpedmatrix (elem)
	Get a flag whether the lumped mass matrix is used.

Additional Inherited Members
Public Attributes inherited from scale_element_base::elementbase2d
integer	polyorder
	Polynomial order.
integer	nfp
	Number of nodes on an element face.
integer, dimension(:,:), allocatable	fmask
	Array saving indices to extract nodal values on the faces.
real(rp), dimension(:), allocatable	x1
	Array saving x1-coordinate of nodes within the reference element.
real(rp), dimension(:), allocatable	x2
	Array saving x2-coordinate of nodes within the reference element.
real(rp), dimension(:,:), allocatable	dx1
	Elementwise differential matrix for the x1-coordinate direction (Dx1 = M^-1 Sx1)
real(rp), dimension(:,:), allocatable	dx2
	Elementwise differential matrix for the x2-coordinate direction (Dx2 = M^-1 Sx2)
real(rp), dimension(:,:), allocatable	sx1
	Elementwise stiffness matrix for the x1-coordinate direction.
real(rp), dimension(:,:), allocatable	sx2
	Elementwise stiffness matrix for the x2-coordinate direction.
Public Attributes inherited from scale_element_base::elementbase
integer	np
	Number of nodes within an element.
integer	nfaces
	Number of faces.
integer	nfptot
	Total number of nodes on faces.
integer	nv
	Number of vertices with an element.
real(rp), dimension(:,:), allocatable	v
	The Vandermonde matrix (V) whose size is Np x Np.
real(rp), dimension(:,:), allocatable	invv
	Inversion of the Vandermonde matrix (V^-1) whose size is Np x Np.
real(rp), dimension(:,:), allocatable	m
	Mass matrix (M) whose size is Np x Np.
real(rp), dimension(:,:), allocatable	invm
	Inversion of the mass matrix (M^-1) whose size Np x NP.
real(rp), dimension(:,:), allocatable	lift
	Lifting matrix with element boundary integrals whose size Np x NfpTot.
real(rp), dimension(:), allocatable	intweight_lgl
	Weights of gaussian quadrature with the LGL nodes.

Detailed Description

Derived type representing a quadrilateral element.

Definition at line 32 of file scale_element_quadrilateral.F90.

Member Function/Subroutine Documentation

init()

procedure scale_element_quadrilateral::quadrilateralelement::init	(	class(quadrilateralelement), intent(inout)	elem,
		integer, intent(in)	elemorder,
		logical, intent(in)	lumpedmassmatflag )

Initialize an object to manage a hexahedral element.

Parameters

elem	Object of finite element
elemOrder	Polynomial order with 1D direction
LumpedMassMatFlag	Flag whether mass lumping is considered

Definition at line 34 of file scale_element_quadrilateral.F90.

final()

procedure scale_element_quadrilateral::quadrilateralelement::final

(

class(quadrilateralelement), intent(inout)

elem

)

Finalize an object to manage a quadrilateral element.

Parameters

elem	Object of finite element

Definition at line 35 of file scale_element_quadrilateral.F90.

genintgausslegendreintrpmat()

procedure scale_element_quadrilateral::quadrilateralelement::genintgausslegendreintrpmat	(	class(quadrilateralelement), intent(in)	this,
		integer, intent(in)	intrppolyorder,
		real(rp), dimension(intrppolyorder**2), intent(out), optional	intw_intrp,
		real(rp), dimension(intrppolyorder**2), intent(out), optional	x_intrp,
		real(rp), dimension(intrppolyorder**2), intent(out), optional	y_intrp )

Definition at line 36 of file scale_element_quadrilateral.F90.

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

• scale_element_quadrilateral.F90