A Multimoment Finite-Volume Shallow-Water Model On The Yin-Yang Overset Spherical Grid
文献类型：期刊论文
| 作者 | Li XL ; Chen DH; Peng XD; Takahashi K; Xiao F(肖锋)
|
| 刊名 | Monthly Weather Review
 |
| 出版日期 | 2008 |
| 页码 | 3066-3086 |
| 通讯作者邮箱 | xiao@es.titech.ac.jp |
| 关键词 | Semi-Lagrangian Integration Numerical-Integration Incompressible Flows Unified Formulation Hyperbolic Systems Advection Scheme Cubed Sphere Equations Transport Tests |
| ISSN号 | 0027-0644 |
| 通讯作者 | Xiao, F (reprint author), Tokyo Inst Technol, Dept Energy Sci, Midori Ku, 4259 Nagatsuta, Yokohama, Kanagawa 2268502, Japan. |
| 中文摘要 | A numerical model for shallow-water equations has been built and tested on the Yin-Yang overset spherical grid. A high-order multimoment finite-volume method is used for the spatial discretization in which two kinds of so-called moments of the physical field [i.e., the volume integrated average ( VIA) and the point value (PV)] are treated as the model variables and updated separately in time. In the present model, the PV is computed by the semi-implicit semi-Lagrangian formulation, whereas the VIA is predicted in time via a flux-based finite-volume method and is numerically conserved on each component grid. The concept of including an extra moment (i.e., the volume-integrated value) to enforce the numerical conservativeness provides a general methodology and applies to the existing semi-implicit semi-Lagrangian formulations. Based on both VIA and PV, the high-order interpolation reconstruction can only be done over a single grid cell, which then minimizes the overlapping zone between the Yin and Yang components and effectively reduces the numerical errors introduced in the interpolation required to communicate the data between the two components. The present model completely gets around the singularity and grid convergence in the polar regions of the conventional longitude-latitude grid. Being an issue demanding further investigation, the high-order interpolation across the overlapping region of the Yin-Yang grid in the current model does not rigorously guarantee the numerical conservativeness. Nevertheless, these numerical tests show that the global conservation error in the present model is negligibly small. The model has competitive accuracy and efficiency. |
| 类目[WOS] | Meteorology & Atmospheric Sciences |
| 研究领域[WOS] | Meteorology & Atmospheric Sciences |
| 关键词[WOS] | SEMI-LAGRANGIAN INTEGRATION ; NUMERICAL-INTEGRATION ; INCOMPRESSIBLE FLOWS ; UNIFIED FORMULATION ; HYPERBOLIC SYSTEMS ; ADVECTION SCHEME ; CUBED SPHERE ; EQUATIONS ; TRANSPORT ; TESTS |
| 收录类别 | SCI ; EI |
| 语种 | 英语 |
| WOS记录号 | WOS:000258450700014 |
| 公开日期 | 2009-08-03 ; 2009-09-14 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/25930]  |
| 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 | Li XL,Chen DH,Peng XD,et al. A Multimoment Finite-Volume Shallow-Water Model On The Yin-Yang Overset Spherical Grid[J]. Monthly Weather Review,2008:3066-3086. |
| APA | Li XL,Chen DH,Peng XD,Takahashi K,&肖锋.(2008).A Multimoment Finite-Volume Shallow-Water Model On The Yin-Yang Overset Spherical Grid.Monthly Weather Review,3066-3086. |
| MLA | Li XL,et al."A Multimoment Finite-Volume Shallow-Water Model On The Yin-Yang Overset Spherical Grid".Monthly Weather Review (2008):3066-3086. |
入库方式： OAI收割
来源：力学研究所
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