| 二维稳定水流的小波多尺度数值模拟 |
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| 引用本文： | 杨建宏.二维稳定水流的小波多尺度数值模拟[J].航空计算技术,2012(1):43-45. |
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| 作者姓名： | 杨建宏 |
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| 作者单位： | 宝鸡文理学院数学系,陕西宝鸡721013 |
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| 基金项目： | 陕西省科技新星基金项目资助（2011kjxx12）; 宝鸡市科技攻关计划基金项目资助（11R-W06）; 宝鸡文理学院重点项目资助（2K11134） |
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| 摘 要： | 利用小波多分辨分析和重构原理,通过对常规小波多尺度方法加入逐层修正步骤实现了对其的改进,并将改进后的方法成功地用于具有周期变化导水系数的二维稳定水流的数值模拟。数值结果表明:改进的小波多尺度方法是一种适合求解多尺度问题的数值算法,不仅保持了较高的计算精度,而且大大地提高了计算效率。
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| 关 键 词： | Haar小波 多尺度算法 稳定水流 数值模拟 |
A Improved Wavelet-based Multi-scale Method for Two-dimensional Stable Water Flow |
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| YANG Jian-hong.A Improved Wavelet-based Multi-scale Method for Two-dimensional Stable Water Flow[J].Aeronautical Computer Technique,2012(1):43-45. |
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| Authors: | YANG Jian-hong |
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| Institution: | YANG Jian-hong(Department of Mathmatics,Baoji University of Arts and Sciences,Baoji 721013,China) |
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| Abstract: | A improved wavelet-based homogenization method is achieved by using successive correction procedure.And the improved method is applied with the two-dimensional stationary water flow with periodic oscillating in hydraulic conductivity coefficient.With the traditional finite difference method,numerical results show that the improved wavelet-based method keep better accuracy and efficiency.Compared with the wavelet-based homogenization methods,the improved wavelet-based method further improve the calculation accuracy. |
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| Keywords: | wavelet analysis multi-scale algorithm stable flow numerical simulation |
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