Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Uniform Algorithm for All-Speed Shock-Capturing Schemes   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.

5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex