Name
Title | ||
|---|---|---|
The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids |
Abstract | ||
|---|---|---|
Novel limiters based on the weighted average procedure are developed for finite volume methods solving multi-dimensional hyperbolic conservation laws on unstructured grids. The development of these limiters is inspired by the biased averaging procedure of Choi and Liu [10]. The remarkable features of the present limiters are the new biased functions and the weighted average procedure, which enable the present limiter to capture strong shock waves and achieve excellent convergence for steady state computations. The mechanism of the developed limiters for eliminating spurious oscillations in the vicinity of discontinuities is revealed by studying the asymptotic behavior of the limiters. Numerical experiments for a variety of test cases are presented to demonstrate the superior performance of the proposed limiters. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.jcp.2011.06.018 | J. Comput. Physics |
Keywords | Field | DocType |
asymptotic behavior,shock capturing,proposed limiter,present limiter,multi-dimensional limiter,unstructured grid,excellent convergence,numerical experiment,remarkable feature,finite volume method,developed limiter,weighted average procedure,unstructured grids,multi-dimensional hyperbolic conservation law,weighted biased averaging procedure,shock wave,steady state,oscillations | Convergence (routing),Mathematical optimization,Classification of discontinuities,Mathematical analysis,Limiter,Steady state,Asymptotic analysis,Finite volume method,Conservation law,Mathematics,Computation | Journal |
Volume | Issue | ISSN |
230 | 21 | Journal of Computational Physics |
Citations | PageRank | References |
9 | 0.75 | 7 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wanai Li | 1 | 20 | 3.02 |
| Yu-Xin Ren | 2 | 42 | 7.89 |
| Guo-dong Lei | 3 | 9 | 1.09 |
| Hong Luo | 4 | 95 | 9.69 |