| 用小波插值方法解Euler方程 |
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| 引用本文： | 郭琦,吴勃英,杨永田. 用小波插值方法解Euler方程[J]. 黑龙江大学自然科学学报, 2007, 24(1): 68-75 |
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| 作者姓名： | 郭琦 吴勃英 杨永田 |
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| 作者单位： | 哈尔滨工程大学,计算机科学与工程系,黑龙江,哈尔滨,150001;哈尔滨工业大学,数学系,黑龙江,哈尔滨,150001;哈尔滨工业大学,数学系,黑龙江,哈尔滨,150001;哈尔滨工程大学,计算机科学与工程系,黑龙江,哈尔滨,150001 |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | 给出了求解多维Euler方程的小波插值方法.该方法较流体力学中常用的数值解法相比,由于小波函数的局部性,在处理奇异性问题时具有优势,不会出现震荡(Gibbs现象)或者误差较大现象,此方法为该类方程的初边值问题提供了高精度的小波数值解.数值试验表明,此方法能获得较完善的结果.
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| 关 键 词： | 小波插值 多维 Euler方程 |
| 文章编号： | 1001-7011(2007)01-0068-08 |
| 修稿时间： | 2006-10-05 |
Solving the Euler equations by wavelet interpolation |
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| GUO Qi,WU Bo-ying,YANG Yong-tian. Solving the Euler equations by wavelet interpolation[J]. Journal of Natural Science of Heilongjiang University, 2007, 24(1): 68-75 |
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| Authors: | GUO Qi WU Bo-ying YANG Yong-tian |
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| Abstract: | A wavelet interpolation method to solve multi-dimensional Euler equations is presented. The proposed method has more advantages than any other traditional numerical methods of solving the fluid mechanics equations, because of the wavelet function local property, in dealing with the issue of singularity, these are no shocks (Gibbs phenomenon) or more errors. So, the proposed method can provide a high-precision wavelet numerical solution for the one-dimensional and multi-dimensional Euler equations with boundary and initial conditions. Numerical experiments show that the proposed method can achieve better results. |
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| Keywords: | wavelet interpolation multidimension Euler equation |
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