A new Legendre-type polynomial and its application to geostrophic flow in rotating fluid spheres
文献类型：期刊论文
| 作者 | Liao, Xinhao2 ; Zhang, Keke1
|
| 刊名 | PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
 |
| 出版日期 | 2010-08-08 |
| 卷号 | 466期号:2120页码:2203-2217 |
| 关键词 | new Legendre-type polynomial geostrophic flow rotating fluid sphere |
| 英文摘要 | In rapidly rotating spheres, the whole fluid column, extending from the southern to northern spherical boundary along the rotation axis, moves like a single fluid element, which is usually referred to as geostrophic flow. A new Legendre-type polynomial is discovered in undertaking the asymptotic analysis of geostrophic flow in spherical geometry. Three essential properties characterize the new polynomial: (i) it is a function of r and theta but takes a single argument (r sin theta), which is restricted by 0 <= r <= 1 and 0 <= theta = pi, where (r, theta, phi) denote spherical polar coordinates with theta = 0 at the rotation axis; (ii) it is odd and vanishes at the axis of rotation theta = 0, and (iii) it is defined within-and orthogonal over-the full sphere. As an example of its application, we employ the new polynomial in the asymptotic analysis of forced geostrophic flows in rotating fluid spheres for small Ekman and Rossby numbers. Fully numerical analysis of the same problem is also carried out, showing satisfactory agreement between the asymptotic solution and the numerical solution. |
| WOS标题词 | Science & Technology |
| 类目[WOS] | Multidisciplinary Sciences |
| 研究领域[WOS] | Science & Technology - Other Topics |
| 关键词[WOS] | CONVECTION ; CYLINDER |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000279236900002 |
| 源URL | [http://119.78.226.72/handle/331011/19977]  |
| 专题 | 上海天文台_天文地球动力学研究中心 |
| 作者单位 | 1.Univ Exeter, Dept Math Sci, Exeter EX4 4QE, Devon, England 2.Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liao, Xinhao,Zhang, Keke. A new Legendre-type polynomial and its application to geostrophic flow in rotating fluid spheres[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2010,466(2120):2203-2217. |
| APA | Liao, Xinhao,&Zhang, Keke.(2010).A new Legendre-type polynomial and its application to geostrophic flow in rotating fluid spheres.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,466(2120),2203-2217. |
| MLA | Liao, Xinhao,et al."A new Legendre-type polynomial and its application to geostrophic flow in rotating fluid spheres".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 466.2120(2010):2203-2217. |
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来源：上海天文台
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