Stability Analysis of Numerical Methods for a 1.5-Layer Shallow-Water Ocean Model
文献类型：期刊论文
| 作者 | Zou, Guang-an1,2 ; Wang, Bo3; Wu, Mu1
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| 刊名 | JOURNAL OF APPLIED MATHEMATICS
 |
| 出版日期 | 2013 |
| 页码 | 478054 |
| ISSN号 | 1110-757X |
| 通讯作者 | Wu, M |
| 中文摘要 | A 1.5-layer reduced-gravity shallow-water ocean model in spherical coordinates is described and discretized in a staggered grid (standard Arakawa C-grid) with the forward-time central-space (FTCS) method and the Leap-frog finite difference scheme. The discrete Fourier analysis method combined with the Gershgorin circle theorem is used to study the stability of these two finite difference numerical models. A series of necessary conditions of selection criteria for the time-space step sizes and model parameters are obtained. It is showed that these stability conditions are more accurate than the Courant-Friedrichs-Lewy (CFL) condition and other two criterions (Blumberg and Mellor, 1987; Casulli, 1990, 1992). Numerical experiments are proposed to test our stability results, and numerical model that is designed is also used to simulate the ocean current. |
| 英文摘要 | A 1.5-layer reduced-gravity shallow-water ocean model in spherical coordinates is described and discretized in a staggered grid (standard Arakawa C-grid) with the forward-time central-space (FTCS) method and the Leap-frog finite difference scheme. The discrete Fourier analysis method combined with the Gershgorin circle theorem is used to study the stability of these two finite difference numerical models. A series of necessary conditions of selection criteria for the time-space step sizes and model parameters are obtained. It is showed that these stability conditions are more accurate than the Courant-Friedrichs-Lewy (CFL) condition and other two criterions (Blumberg and Mellor, 1987; Casulli, 1990, 1992). Numerical experiments are proposed to test our stability results, and numerical model that is designed is also used to simulate the ocean current. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | Mathematics |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | LOW-FREQUENCY VARIABILITY ; FINITE-DIFFERENCE SCHEMES ; WIND-DRIVEN ; MULTIPLE EQUILIBRIA ; KUROSHIO EXTENSION ; GULF-STREAM ; EQUATIONS ; OSCILLATIONS ; PREDICTABILITY ; CIRCULATION |
| 收录类别 | SCI |
| 原文出处 | 10.1155/2013/478054 |
| 语种 | 英语 |
| WOS记录号 | WOS:000327119800001 |
| 公开日期 | 2014-07-17 |
| 源URL | [http://ir.qdio.ac.cn/handle/337002/16437]  |
| 专题 | 海洋研究所_海洋环流与波动重点实验室 |
| 作者单位 | 1.Chinese Acad Sci, Inst Oceanol, Key Lab Ocean Circulat & Wave, Qingdao 266071, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Henan Univ, Inst Appl Math, Kaifeng 475004, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zou, Guang-an,Wang, Bo,Wu, Mu. Stability Analysis of Numerical Methods for a 1.5-Layer Shallow-Water Ocean Model[J]. JOURNAL OF APPLIED MATHEMATICS,2013:478054. |
| APA | Zou, Guang-an,Wang, Bo,&Wu, Mu.(2013).Stability Analysis of Numerical Methods for a 1.5-Layer Shallow-Water Ocean Model.JOURNAL OF APPLIED MATHEMATICS,478054. |
| MLA | Zou, Guang-an,et al."Stability Analysis of Numerical Methods for a 1.5-Layer Shallow-Water Ocean Model".JOURNAL OF APPLIED MATHEMATICS (2013):478054. |
入库方式： OAI收割
来源：海洋研究所
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