| A multi-moment finite volume formulation for shallow water equations on unstructured mesh | |
Akoh R; Ii S; Xiao F(肖锋) ; Xiao F
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| Source Publication | Journal of Computational Physics
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| 2010 | |
| Volume | 229Issue:12Pages:4567-4590 |
| ISSN | 0021-9991 |
| Abstract | A novel and accurate finite volume method has been presented to solve the shallow water equations on unstructured grid in plane geometry. In addition to the volume integrated average (VIA moment) for each mesh cell, the point values (PV moment) defined on cell boundary are also treated as the model variables. The volume integrated average is updated via a finite volume formulation, and thus is numerically conserved, while the point value is computed by a point-wise Riemann solver. The cell-wise local interpolation reconstruction is built based on both the VIA and the PV moments, which results in a scheme of almost third order accuracy. Efforts have also been made to formulate the source term of the bottom topography in a way to balance the numerical flux function to satisfy the so-called C-property. The proposed numerical model is validated by numerical tests in comparison with other methods reported in the literature. (C) 2010 Elsevier Inc. All rights reserved. |
| DOI | 10.1016/j.jcp.2010.02.023 |
| URL | 查看原文 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000277944400009 |
| WOS Keyword | DISCONTINUOUS GALERKIN METHOD ; SHOCK-CAPTURING SCHEMES ; SOURCE TERMS ; INCOMPRESSIBLE FLOWS ; UNIFIED FORMULATION ; WENO SCHEMES ; ORDER ; MODEL ; SIMULATIONS ; IMPLEMENTATION |
| WOS Research Area | Computer Science ; Physics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/43567 |
| Collection | 高温气体动力学国家重点实验室 |
| Corresponding Author | Xiao F |
| Recommended Citation GB/T 7714 | Akoh R,Ii S,Xiao F,et al. A multi-moment finite volume formulation for shallow water equations on unstructured mesh[J]. Journal of Computational Physics,2010,229,12,:4567-4590. |
| APA | Akoh R,Ii S,肖锋,&Xiao F.(2010).A multi-moment finite volume formulation for shallow water equations on unstructured mesh.Journal of Computational Physics,229(12),4567-4590. |
| MLA | Akoh R,et al."A multi-moment finite volume formulation for shallow water equations on unstructured mesh".Journal of Computational Physics 229.12(2010):4567-4590. |
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