Name
Abstract | ||
|---|---|---|
The Entropy-TVD scheme was developed for the non-linear scalar conservation laws in Chen and Mao (J Sci Comput 47:150---169, 2011). The scheme with step reconstruction simultaneously computes the two numerical entities, the numerical solution and the numerical entropy, and numerical examples show that the scheme provides a super-convergence rate. In this paper, we extend an Entropy-TVD scheme to the shallow water equations in one dimension. We prove that the scheme satisfies the entropy condition. Numerical tests show that the Entropy-TVD scheme has better resolution than the standard Godunov scheme. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s10915-016-0322-6 | J. Sci. Comput. |
Keywords | Field | DocType |
Entropy-TVD scheme, Shallow water equations, Entropy condition | Numerical tests,Mathematical optimization,QUICK scheme,Mathematical analysis,Scalar (physics),Godunov's scheme,MUSCL scheme,Mathematics,Shallow water equations,Conservation law | Journal |
Volume | Issue | ISSN |
71 | 2 | 1573-7691 |
Citations | PageRank | References |
1 | 0.36 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Rongsan Chen | 1 | 3 | 0.77 |
| Min Zou | 2 | 1 | 1.04 |
| Li Xiao | 3 | 2 | 1.73 |