A Uniform Algorithm for All-Speed Shock-Capturing Schemes
Computational Physics
2015-07-23 v2 Fluid Dynamics
Abstract
There are many ideas for developing shock-capturing schemes and their extension for all-speed flow. The representatives of them are Roe, HLL and AUSM families. In this paper, a uniform algorithm is proposed, which expresses three families in the same framework. The algorithm has explicit physical meaning, provides a new angel of understanding and comparing the mechanism of schemes, and may play a great role in the further research. As an example of applying the uniform algorithm, the low-Mach number behaviour of the schemes is analyzed. Then, a very clear and simple explanation is given based on the wall boundary, and a concise rule is proposed to judge whether a scheme has satisfied low-Mach number behaviour.
Cite
@article{arxiv.1201.1553,
title = {A Uniform Algorithm for All-Speed Shock-Capturing Schemes},
author = {Xue-song Li},
journal= {arXiv preprint arXiv:1201.1553},
year = {2015}
}