| 流体力学中无粘流动的再生核解法 |
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| 引用本文： | 吴勃英,张钦礼,冯国泰. 流体力学中无粘流动的再生核解法[J]. 机械工程学报, 2000, 36(7): 109-112 |
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| 作者姓名： | 吴勃英 张钦礼 冯国泰 |
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| 作者单位： | 1. 哈尔滨工业大学理学院,哈尔滨,150001
2. 哈尔滨工业大学 |
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| 基金项目： | 国家自然科学基金资助项目! ( 199710 2 0 ) |
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| 摘 要： | 利用再生核理论并结合有限差分法给出了一种新的求解描写无粘理想流动的一维非定常可压Euler方程组的方法———再生核解法。由于再生核函数的导数同时又是小波函数 ,通过数值试验及对误差的分析 ,表明该方法具有操作简单和精度高等诸多优点
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| 关 键 词： | 流体力学 再生核空间 |
REPRODUCING KERNEL METHOD FOR SOLVLNG INVISCID EQUATIONS OF FLUID MOTION OF HYDRODYNAMICS |
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| Wu Boying,Zhang Qinli,Feng Guotai. REPRODUCING KERNEL METHOD FOR SOLVLNG INVISCID EQUATIONS OF FLUID MOTION OF HYDRODYNAMICS[J]. Chinese Journal of Mechanical Engineering, 2000, 36(7): 109-112 |
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| Authors: | Wu Boying Zhang Qinli Feng Guotai |
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| Affiliation: | Harbin Institute of Technology |
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| Abstract: | A new method is presented by means of the theory of reproducing kernel space and finite difference method,to calculate the one dimensional time dependent compressible system of Euler Equations that describes a kind of motion law about ideal fluid.The results show that the method has many advantages,such as higher precision,less work and other things than any other methods in that the derived function of reproducing kernel function also is wavelet function simultaneoulsy. Key words:Hydrodynamics Reproducing kernel space of AR model with the fractal dimension mathematically by use of regression analysis. Finally, we apply this result to estimate parameters of rough surfaces. |
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| Keywords: | Surface topography Parameters of AR model Fractal dimension |
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