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| A Cip/Multi-Moment Finite Volume Method For Shallow Water Equations With Source Terms | |
Akoh R; Ii S; Xiao F(肖锋) ; Xiao, F (reprint author), Chinese Acad Sci, Inst Mech, LHD, 15 Beisihuanxi Rd, Beijing 100080, Peoples R China.
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| Source Publication | International Journal for Numerical Methods In Fluids
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| 2008 | |
| Pages | 2245-2270 |
| ISSN | 0271-2091 |
| Abstract | 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. |
| Keyword | 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 |
| DOI | 10.1002/fld.1616 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000255090900005 |
| WOS Keyword | INCOMPRESSIBLE FLOWS ; UNIFIED FORMULATION ; WENO SCHEMES ; SIMULATIONS ; ORDER ; TRANSPORT |
| WOS Research Area | Computer Science ; Mathematics ; Mechanics ; Physics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/26076 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | Xiao, F (reprint author), Chinese Acad Sci, Inst Mech, LHD, 15 Beisihuanxi Rd, Beijing 100080, Peoples R China. |
| Recommended Citation GB/T 7714 | Akoh R,Ii S,Xiao F,et al. 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,&Xiao, F .(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. |
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