| 高高.自由面势流问题边界元法的数值色散误差[J].计算力学学报,2009,26(6):870~875 |
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| 自由面势流问题边界元法的数值色散误差 |
| On the numerical dispersion errors of the boundary element method in free-surface potential flow problems |
| 投稿时间：2007-12-06 |
| DOI：10.7511/jslx20096018 |
| 中文关键词: 自由面 势流 边界元法 Fourier分析 色散误差 |
| 英文关键词:free-surface potential flow boundary element method fourier analysis dispersion errors |
| 基金项目:国家自然科学基金(50879066)及教育部高等学校博士学科点专项科研基金(200804970009)资助项目. |
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| 中文摘要: |
| 以连续及离散Fourier分析研究自由面势流问题边界元法的数值色散误差,并从理论上探讨有关计算中数值色散误差的改善问题。研究表明:对于该问题的数值色散误差而言,重要的在于以问题相应的离散算子考察计及各种数值手段后的总体色散误差,而非仅考虑该数值手段自身的数值色散误差大小。高阶面元、自由面域外奇点或适当的耦合方法是降低有关问题算子总体色散误差的较好选择。 |
| 英文摘要: |
| Using continuous and discrete Fourier analysis, the numerical dispersion errors of the Boundary Element Method in Free-Surface Potential Flow Problems are analyzed. Ways to improve the numerical dispersion errors in the computations of this kind are discussed. It is important that the investigation should be focused on the total numerical dispersion error,with the consideration of possible numerical means employed,in the corresponding operator of the Boundary Element Method in Free-Surface Potential Flow Problems but not on the numerical dispersion of the numerical means itself. Higher-order panels, singularities distributed above the free surface or some proper coupling methods are promising ways to reduce the total numerical dispersion errors of the operator concerned. |
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