recon1d_ppm_h4_2018 module reference

Piecewise Parabolic Method 1D reconstruction with h4 interpolation for edges (2018 version)

Data Types

ppm_h4_2018

PPM reconstruction following White and Adcroft, 2008.

Functions/Subroutines

`reconstruct()`	Calculate a 1D PPM_H4_2018 reconstructions based on h(:) and u(:)
`unit_tests()`	Runs PPM_H4_2018 reconstruction unit tests and returns True for any fails, False otherwise.

Detailed Description

This implementation of PPM follows White and Adcroft 2008 [87], with cells resorting to PCM for extrema including first and last cells in column. This scheme differs from Colella and Woodward, 1984 [17], in the method of first estimating the fourth-order accurate edge values. This uses numerical expressions that predate a 2019 refactoring. The first and last cells are always limited to PCM.

Type Documentation

type recon1d_ppm_h4_2018/ppm_h4_2018

PPM reconstruction following White and Adcroft, 2008.

Type fields:

% reconstruct :: procedure, private Implementation of the PPM_H4_2018 reconstruction.
% unit_tests :: procedure, private Implementation of unit tests for the PPM_H4_2018 reconstruction.

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Function/Subroutine Documentation

subroutine recon1d_ppm_h4_2018/reconstruct(this, h, u)

Calculate a 1D PPM_H4_2018 reconstructions based on h(:) and u(:)

Parameters:

this :: this [inout] This reconstruction
h :: h [in] Grid spacing (thickness) [typically H]
u :: u [in] Cell mean values [A]

Call to:

regrid_edge_values::bound_edge_values regrid_edge_values::check_discontinuous_edge_values regrid_solvers::solve_linear_system

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function recon1d_ppm_h4_2018/unit_tests(this, verbose, stdout, stderr)

Runs PPM_H4_2018 reconstruction unit tests and returns True for any fails, False otherwise.

Parameters:

this :: this [inout] This reconstruction
verbose :: verbose [in] True, if verbose
stdout :: stdout [in] I/O channel for stdout
stderr :: stderr [in] I/O channel for stderr

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