scale_element_base::elementbase2d Type Reference

Derived type representing a 2D reference element. More...

Inheritance diagram for scale_element_base::elementbase2d:

Public Attributes
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.

Additional Inherited Members
Public Member Functions inherited from scale_element_base::elementbase
procedure	islumpedmatrix (elem)
	Get a flag whether the lumped mass matrix is used.

Detailed Description

Derived type representing a 2D reference element.

Definition at line 71 of file scale_element_base.F90.

Member Data Documentation

polyorder

integer scale_element_base::elementbase2d::polyorder

Polynomial order.

Definition at line 72 of file scale_element_base.F90.

    integer :: PolyOrder               !< Polynomial order

nfp

integer scale_element_base::elementbase2d::nfp

Number of nodes on an element face.

Definition at line 73 of file scale_element_base.F90.

    integer :: Nfp                     !< Number of nodes on an element face

fmask

integer, dimension(:,:), allocatable scale_element_base::elementbase2d::fmask

Array saving indices to extract nodal values on the faces.

Definition at line 74 of file scale_element_base.F90.

    integer, allocatable :: Fmask(:,:) !< Array saving indices to extract nodal values on the faces

x1

real(rp), dimension(:), allocatable scale_element_base::elementbase2d::x1

Array saving x1-coordinate of nodes within the reference element.

Definition at line 76 of file scale_element_base.F90.

    real(RP), allocatable :: x1(:)     !< Array saving x1-coordinate of nodes within the reference element

x2

real(rp), dimension(:), allocatable scale_element_base::elementbase2d::x2

Array saving x2-coordinate of nodes within the reference element.

Definition at line 77 of file scale_element_base.F90.

    real(RP), allocatable :: x2(:)     !< Array saving x2-coordinate of nodes within the reference element

dx1

real(rp), dimension(:,:), allocatable scale_element_base::elementbase2d::dx1

Elementwise differential matrix for the x1-coordinate direction (Dx1 = M^-1 Sx1)

Definition at line 79 of file scale_element_base.F90.

    real(RP), allocatable :: Dx1(:,:)  !< Elementwise differential matrix for the x1-coordinate direction (Dx1 = M^-1 Sx1)

dx2

real(rp), dimension(:,:), allocatable scale_element_base::elementbase2d::dx2

Elementwise differential matrix for the x2-coordinate direction (Dx2 = M^-1 Sx2)

Definition at line 80 of file scale_element_base.F90.

    real(RP), allocatable :: Dx2(:,:)  !< Elementwise differential matrix for the x2-coordinate direction (Dx2 = M^-1 Sx2)

sx1

real(rp), dimension(:,:), allocatable scale_element_base::elementbase2d::sx1

Elementwise stiffness matrix for the x1-coordinate direction.

Definition at line 82 of file scale_element_base.F90.

    real(RP), allocatable :: Sx1(:,:)  !< Elementwise stiffness matrix for the x1-coordinate direction

sx2

real(rp), dimension(:,:), allocatable scale_element_base::elementbase2d::sx2

Elementwise stiffness matrix for the x2-coordinate direction.

Definition at line 83 of file scale_element_base.F90.

    real(RP), allocatable :: Sx2(:,:)  !< Elementwise stiffness matrix for the x2-coordinate direction

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

• scale_element_base.F90