scale_element_hexahedral::hexahedralelement Type Reference

Derived type representing a hexahedral element. More...

Inheritance diagram for scale_element_hexahedral::hexahedralelement:

Public Member Functions
procedure	init (elem, elemorder_h, elemorder_v, lumpedmassmatflag)
	Initialize an object to manage a hexahedral element.
procedure	final (elem)
	Finalize an object to manage a hexahedral element.
procedure	genintgausslegendreintrpmat (this, intrppolyorder, intw_intrp, x_intrp, y_intrp, z_intrp)
Public Member Functions inherited from scale_element_base::elementbase3d
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_h_tr, polyorder_v_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::elementbase3d
integer	polyorder_h
	Polynomial order with the horizontal direction.
integer	nnode_h1d
	Number of nodes along the horizontal coordinate.
integer	nfaces_h
	Number of nodes on an horizontal face of the reference element.
integer	nfp_h
	Number of horizontal faces of the reference element.
integer, dimension(:,:), allocatable	fmask_h
	Array saving indices to extract nodal values on the horizontal faces.
integer	polyorder_v
	Polynomial order with the vertical direction.
integer	nnode_v
	Number of nodes along the vertical coordinate.
integer	nfaces_v
	Number of nodes on an vertical face of the reference element.
integer	nfp_v
	Number of vertical faces of the reference element.
integer, dimension(:,:), allocatable	fmask_v
	Array saving indices to extract nodal values on the vertical faces.
integer, dimension(:,:), allocatable	colmask
	Array saving indices to extract nodal values on the vertical columns.
integer, dimension(:,:), allocatable	hslice
	Array saving indices to extract nodal values on the horizontal plane.
integer, dimension(:), allocatable	indexh2dto3d
	Array saving indices to expand 2D horizontal nodal values into the 3D nodal values.
integer, dimension(:), allocatable	indexh2dto3d_bnd
	Array saving indices to expand 2D horizontal nodal values into the 3D nodal values on element faces.
integer, dimension(:), allocatable	indexz1dto3d
	Array saving indices to expand 1D vertical nodal values into the 3D nodal values.
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	x3
	Array saving x3-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	dx3
	Elementwise differential matrix for the x3-coordinate direction (Dx3 = M^-1 Sx3)
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.
real(rp), dimension(:,:), allocatable	sx3
	Elementwise stiffness matrix for the x3-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 hexahedral element.

Definition at line 31 of file scale_element_hexahedral.F90.

Member Function/Subroutine Documentation

init()

procedure scale_element_hexahedral::hexahedralelement::init	(	class(hexahedralelement), intent(inout)	elem,
		integer, intent(in)	elemorder_h,
		integer, intent(in)	elemorder_v,
		logical, intent(in)	lumpedmassmatflag )

Initialize an object to manage a hexahedral element.

Parameters

elem	Object of finite element
elemOrder_h	Polynomial order with 1D horizontal direction
elemOrder_v	Polynomial order with vertical direction
LumpedMassMatFlag	Flag whether mass lumping is considered

Definition at line 33 of file scale_element_hexahedral.F90.

final()

procedure scale_element_hexahedral::hexahedralelement::final

(

class(hexahedralelement), intent(inout)

elem

)

Finalize an object to manage a hexahedral element.

Parameters

elem	Object of finite element

Definition at line 34 of file scale_element_hexahedral.F90.

genintgausslegendreintrpmat()

procedure scale_element_hexahedral::hexahedralelement::genintgausslegendreintrpmat	(	class(hexahedralelement), intent(in)	this,
		integer, intent(in)	intrppolyorder,
		real(rp), dimension(intrppolyorder**3), intent(out), optional	intw_intrp,
		real(rp), dimension(intrppolyorder**3), intent(out), optional	x_intrp,
		real(rp), dimension(intrppolyorder**3), intent(out), optional	y_intrp,
		real(rp), dimension(intrppolyorder**3), intent(out), optional	z_intrp )

Definition at line 35 of file scale_element_hexahedral.F90.

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

• scale_element_hexahedral.F90