A Cip/Multi-Moment Finite Volume Method For Shallow Water Equations With Source Terms
文献类型：期刊论文
| 作者 | Akoh R; Ii S; Xiao F(肖锋)
|
| 刊名 | International Journal for Numerical Methods In Fluids
 |
| 出版日期 | 2008 |
| 页码 | 2245-2270 |
| 通讯作者邮箱 | xiao@imech.ac.cn |
| 关键词 | Shallow Water Equations Source Terms Finite Volume Method High-Order Accuracy Cip Multi-Moment Method Of Characteristics Incompressible Flows Unified Formulation Weno Schemes Simulations Order Transport |
| ISSN号 | 0271-2091 |
| 通讯作者 | Xiao, F (reprint author), Chinese Acad Sci, Inst Mech, LHD, 15 Beisihuanxi Rd, Beijing 100080, Peoples R China. |
| 中文摘要 | A novel finite volume method has been presented to solve the shallow water equations. In addition to the volume-integrated average (VIA) for each mesh cell, the surface-integrated average (SIA) is also treated as the model variable and is independently predicted. The numerical reconstruction is conducted based on both the VIA and the SIA. Different approaches are used to update VIA and SIA separately. The SIA is updated by a semi-Lagrangian scheme in terms of the Riemann invariants of the shallow water equations, while the VIA is computed by a flux-based finite volume formulation and is thus exactly conserved. Numerical oscillation can be effectively avoided through the use of a non-oscillatory interpolation function. The numerical formulations for both SIA and VIA moments maintain exactly the balance between the fluxes and the source terms. 1D and 2D numerical formulations are validated with numerical experiments. Copyright (c) 2007 John Wiley & Sons, Ltd. |
| 类目[WOS] | Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas |
| 研究领域[WOS] | Computer Science ; Mathematics ; Mechanics ; Physics |
| 关键词[WOS] | INCOMPRESSIBLE FLOWS ; UNIFIED FORMULATION ; WENO SCHEMES ; SIMULATIONS ; ORDER ; TRANSPORT |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000255090900005 |
| 公开日期 | 2009-08-03 ; 2009-09-14 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/26076]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 推荐引用方式 GB/T 7714 | Akoh R,Ii S,Xiao F. A Cip/Multi-Moment Finite Volume Method For Shallow Water Equations With Source Terms[J]. International Journal for Numerical Methods In Fluids,2008:2245-2270. |
| APA | Akoh R,Ii S,&肖锋.(2008).A Cip/Multi-Moment Finite Volume Method For Shallow Water Equations With Source Terms.International Journal for Numerical Methods In Fluids,2245-2270. |
| MLA | Akoh R,et al."A Cip/Multi-Moment Finite Volume Method For Shallow Water Equations With Source Terms".International Journal for Numerical Methods In Fluids (2008):2245-2270. |
入库方式： OAI收割
来源：力学研究所
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