grid_implementation Submodule

The implementation of the interfaces defined in grid.

Uses

- Ancestors:
- grid
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Contents

Subroutines

Jacobian

Module Procedures

init_grid_coordinates

Subroutines

subroutine Jacobian(n, vx, r, dr, x, xr, rx)

Routine that sets up the physical coordinates as well as the Jacobian and inverse Jacobian to convert derivatives between reference element and physical element.

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=ip),	intent(in)			::	n	The order of the element.
real(kind=wp),	intent(in),		dimension(2)	::	vx	The physical coordinates of the left and right boundary of the element.
real(kind=wp),	intent(in),		dimension(n+1)	::	r	The node locations inside the reference element, $r_i$ .
real(kind=wp),	intent(in),		dimension(n+1,n+1)	::	dr	The derivative matrix for the reference element, $D_{ij}$ .
real(kind=wp),	intent(out),		dimension(n+1)	::	x	On output the physical coordinates of the nodes of the element, $x_i$ .
real(kind=wp),	intent(out),		dimension(n+1)	::	xr	On output contains $(xr)_i=\sum_{i,j}^{n+1} D_{ij} x_j$ .
real(kind=wp),	intent(out),		dimension(n+1)	::	rx	On output contains $(rx)_i=\frac{1}{(xr)_i}$ .

Module Procedures

module procedure init_grid_coordinates module subroutine init_grid_coordinates(relem)

Arguments

Type	Intent	Optional	Attributes		Name
type(ref_element),	intent(in)			::	relem	The reference element of the DG elements that is the building block for grid functions.