期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 228, 期 15, 页码 5410-5436出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2009.04.021
关键词
Entropy conservation; Entropy production; Entropy-stability; Entropy consistency; Shock stability
资金
- Universiti Sains Malaysia RU
- Space Vehicle Institute [NCC3-989]
In this paper, an entropy-consistent flux is developed, continuing from the work of the previous paper. To achieve entropy consistency, a second and third-order differential terms are added to the entropy-conservative flux. This new flux function is tested on several one dimensional problems and compared with the original Roe flux. The new flux function exactly preserves the stationary contact discontinuity and does not capture the unphysical rarefaction shock. For steady shock problems, the new flux predicts a slightly more diffused profile whereas for unsteady cases. the captured shock is very similar to those produced by the Roe- flux. The shock stability is also studied in one dimension. Unlike the original Roe flux, the new flux is completely stable which will provide as a candidate to combat multidimensional shock instability, particularly the carbuncle phenomenon. (C) 2009 Elsevier Inc. All rights reserved.
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