A multi-moment finite volume formulation for shallow water equations on unstructured mesh
文献类型：期刊论文
| 作者 | Akoh R; Ii S; Xiao F(肖锋) ; Xiao F
|
| 刊名 | Journal of Computational Physics
 |
| 出版日期 | 2010 |
| 卷号 | 229期号:12页码:4567-4590 |
| 通讯作者邮箱 | xiao@es.titech.ac.jp |
| ISSN号 | 0021-9991 |
| 通讯作者 | Xiao F |
| 合作状况 | 国际 |
| 中文摘要 | 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. |
| 类目[WOS] | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| 研究领域[WOS] | Computer Science ; Physics |
| 关键词[WOS] | DISCONTINUOUS GALERKIN METHOD ; SHOCK-CAPTURING SCHEMES ; SOURCE TERMS ; INCOMPRESSIBLE FLOWS ; UNIFIED FORMULATION ; WENO SCHEMES ; ORDER ; MODEL ; SIMULATIONS ; IMPLEMENTATION |
| 收录类别 | SCI |
| 原文出处 | http://dx.doi.org/10.1016/j.jcp.2010.02.023 |
| 语种 | 英语 |
| WOS记录号 | WOS:000277944400009 |
| 公开日期 | 2011-03-01 ; 2011-03-30 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/43567]  |
| 专题 | 力学研究所_高温气体动力学国家重点实验室 |
| 通讯作者 | Xiao F |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：力学研究所
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