recon1d_plm_cw module reference

Piecewise Linear Method 1D reconstruction.

Data Types

plm_cw

PLM reconstruction following Colella and Woodward, 1984.

Functions/Subroutines

`init()`	Initialize a 1D PLM reconstruction for n cells.
`reconstruct()`	Calculate a 1D PLM reconstructions based on h(:) and u(:)
`f()`	Value of PLM_CW reconstruction at a point in cell k [A].
`dfdx()`	Derivative of PLM_CW reconstruction at a point in cell k [A].
`x()`	Solver for x such that f(x)=t.
`average()`	Average between xa and xb for cell k of a 1D PLM reconstruction [A].
`destroy()`	Deallocate the PLM reconstruction.
`check_reconstruction()`	Checks the PLM_CW reconstruction for consistency.
`unit_tests()`	Runs PLM reconstruction unit tests and returns True for any fails, False otherwise.

Detailed Description

This implementation of PLM follows Colella and Woodward, 1984 [17], with cells resorting to PCM for extrema including the first and last cells in column. The cell-wise reconstructions are limited so that the edge values (which are also the extrema in a cell) are bounded by the neighboring cell means. This does not yield monotonic profiles for the general remapping problem.

Type Documentation

type recon1d_plm_cw/plm_cw

PLM reconstruction following Colella and Woodward, 1984.

Type fields:

% ul :: real, dimension(:), allocatable, private Left edge value [A].
% ur :: real, dimension(:), allocatable, private Right edge value [A].
% init :: procedure, private Implementation of the PLM_CW initialization.
% reconstruct :: procedure, private Implementation of the PLM_CW reconstruction.
% average :: procedure, private Implementation of the PLM_CW average over an interval [A].
% f :: procedure, private Implementation of evaluating the PLM_CW reconstruction at a point [A].
% dfdx :: procedure, private Implementation of the derivative of the PLM_CW reconstruction at a point [A].
% x :: procedure, private Implementation of solver for x: f(x)=t.
% destroy :: procedure, private Implementation of deallocation for PLM_CW.
% check_reconstruction :: procedure, private Implementation of check reconstruction for the PLM_CW reconstruction.
% unit_tests :: procedure, private Implementation of unit tests for the PLM_CW reconstruction.
% init_parent :: procedure, private Duplicate interface to
% reconstruct_parent :: procedure, private Duplicate interface to

[source]

Function/Subroutine Documentation

subroutine recon1d_plm_cw/init(this, n, h_neglect, check)

Initialize a 1D PLM reconstruction for n cells.

Parameters:

this :: this [out] This reconstruction
n :: n [in] Number of cells in this column
h_neglect :: h_neglect [in] A negligibly small width used in cell reconstructions [H]
check :: check [in] If true, enable some consistency checking