| 高高.自由面势流问题的域外奇点边界元法及其数值误差分析[J].计算力学学报,2003,20(3):339~345 |
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| 自由面势流问题的域外奇点边界元法及其数值误差分析 |
| Numerical error analysis of the boundary element method with singularity distribution outside domain in free-surface potential flow problem |
| 修订日期：2001-10-08 |
| DOI：10.7511/jslx20033066 |
| 中文关键词: 域外奇点边界元法 自由面流 势流 数值计算 误差分析 色散误差 绕流 流体力学 |
| 英文关键词:free-surface flow,singularities outside domain,boundary element method,error analysis |
| 基金项目:湖北省自然科学基金(99J017)资助项目. |
| 高高 |
| 武汉理工大学船舶与海洋工程系 武汉430063 |
| 摘要点击次数: 1506 |
| 全文下载次数: 9 |
| 中文摘要: |
| 讨论了域外奇点边界元法在自由面势流问题计算中的作用，并以连续及离散Fourier分析对该方法(就m阶面元的一般情况)进行数值误差分析，导出了计及面元阶数、奇点至自由面垂向距离、配置点移动、差分格式等因素影响的数值误差一般表达式。从理论上证明了自由面势流问题计算中采用域外奇点法可改善离散产生的数值色散误差并能结合配置点前移(向上游)等方法以数值满足辐射条件。 |
| 英文摘要: |
| The boundary element method with singularity distribution outside the domain in the free\|surface potential flow problem is discussed in this article. Using the continuous and discrete Fourier analysis, the numerical error analysis of this method, with the source strength of m\|order distributed on each panel, is carried out and a general expression, including the effects of the vertical distance of singularities to the free surface, the order of singularity distribution in the panels, and the collocation\|point shifting and difference scheme for the errors of numerical damping and dispersion is derived. It is proved theoretically that the boundary element method with singularity distribution outside the domain in free\|surface potential flow can improve the numerical dispersion error produced by discretization, and combined with the collocation\|point shifting up\|stream, contributes to satisfying the radiation condition numerically. |
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