Impact of difference accuracy on computational properties of vertical grids for a nonhydrostatic model
文献类型：期刊论文
| 作者 | Liu, Yudi1,2 |
| 刊名 | COMPUTATIONAL GEOSCIENCES
 |
| 出版日期 | 2008-06-01 |
| 卷号 | 12期号:2页码:245-253 |
| 关键词 | Vertical Grids Frequency Vertical Component Of Group Velocity Compact Difference Scheme |
| ISSN号 | 1420-0597 |
| DOI | 10.1007/s10596-008-9081-2 |
| 文献子类 | Article |
| 英文摘要 | Starting from nonhydrostatic Boussinesq approximation equations, a general method is introduced to deduce the dispersion relationships. A comparative investigation is performed on inertia-gravity wave with horizontal lengths of 100, 10 and 1 km. These are examined using the second-order central difference scheme and the fourth-order compact difference scheme on vertical grids that are currently available from the perspectives of frequency, horizontal and vertical component of group velocity. These findings are compared to analytical solutions. The obtained results suggest that whether for the second-order central difference scheme or for the fourth-order compact difference scheme, Charny-Phillips and Lorenz ( L) grids are suitable for studying waves at the above-mentioned horizontal scales; the Lorenz time-staggered and Charny-Phillips time staggered (CPTS) grids are applicable only to the horizontal scales of less than 10 km, and N grid ( unstaggered grid) is unsuitable for simulating waves at any horizontal scale. Furthermore, by using fourth-order compact difference scheme with higher difference precision, the errors of frequency and group velocity in horizontal and vertical directions produced on all vertical grids in describing the waves with horizontal lengths of 1, 10 and 100 km cannot inevitably be decreased. So in developing a numerical model, the higher-order finite difference scheme, like fourth-order compact difference scheme, should be avoided as much as possible, typically on L and CPTS grids, since it will not only take many efforts to design program but also make the calculated group velocity in horizontal and vertical directions even worse in accuracy.; Starting from nonhydrostatic Boussinesq approximation equations, a general method is introduced to deduce the dispersion relationships. A comparative investigation is performed on inertia-gravity wave with horizontal lengths of 100, 10 and 1 km. These are examined using the second-order central difference scheme and the fourth-order compact difference scheme on vertical grids that are currently available from the perspectives of frequency, horizontal and vertical component of group velocity. These findings are compared to analytical solutions. The obtained results suggest that whether for the second-order central difference scheme or for the fourth-order compact difference scheme, Charny-Phillips and Lorenz ( L) grids are suitable for studying waves at the above-mentioned horizontal scales; the Lorenz time-staggered and Charny-Phillips time staggered (CPTS) grids are applicable only to the horizontal scales of less than 10 km, and N grid ( unstaggered grid) is unsuitable for simulating waves at any horizontal scale. Furthermore, by using fourth-order compact difference scheme with higher difference precision, the errors of frequency and group velocity in horizontal and vertical directions produced on all vertical grids in describing the waves with horizontal lengths of 1, 10 and 100 km cannot inevitably be decreased. So in developing a numerical model, the higher-order finite difference scheme, like fourth-order compact difference scheme, should be avoided as much as possible, typically on L and CPTS grids, since it will not only take many efforts to design program but also make the calculated group velocity in horizontal and vertical directions even worse in accuracy. |
| 学科主题 | Computer Science, Interdisciplinary Applications ; Geosciences, Multidisciplinary |
| URL标识 | 查看原文 |
| 语种 | 英语 |
| WOS记录号 | WOS:000257023500008 |
| 公开日期 | 2010-12-24 |
| 源URL | [http://ir.qdio.ac.cn/handle/337002/5045]  |
| 专题 | 海洋研究所_海洋地质与环境重点实验室 |
| 作者单位 | 1.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China 2.PLA Univ Sci & Technol, Inst Meteorol, Nanjing 211101, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Yudi. Impact of difference accuracy on computational properties of vertical grids for a nonhydrostatic model[J]. COMPUTATIONAL GEOSCIENCES,2008,12(2):245-253. |
| APA | Liu, Yudi.(2008).Impact of difference accuracy on computational properties of vertical grids for a nonhydrostatic model.COMPUTATIONAL GEOSCIENCES,12(2),245-253. |
| MLA | Liu, Yudi."Impact of difference accuracy on computational properties of vertical grids for a nonhydrostatic model".COMPUTATIONAL GEOSCIENCES 12.2(2008):245-253. |
入库方式： OAI收割
来源：海洋研究所
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