| 二阶时域波动方程的无网格方法求解 |
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| 引用本文： | 李坤,黄其柏,林立广.二阶时域波动方程的无网格方法求解[J].华中科技大学学报(自然科学版),2011(3):26-29. |
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| 作者姓名： | 李坤 黄其柏 林立广 |
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| 作者单位： | 华中科技大学数字制造装备与技术国家重点实验室;中国兵器工业第203研究所; |
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| 基金项目： | 高等学校博士学科点专项科研基金资助项目(20070487403); 中央高校基本科研业务费资助项目(2010MS080) |
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| 摘 要： | 将径向基函数配点型无网格方法引入二阶时域波动方程的求解中,方程的空间导数采用径向基函数逼近,时间导数采用Crank-Nicolson方法离散,对应的边界条件直接施加在离散的边界数据点上.采用该方法对二维非规则求解域内的波传播问题进行了数值计算,并与有限元计算结果进行了对比分析.结果表明:基于径向基函数配点的无网格方法不但形式简单、易于实施,而且能够有效解决复杂求解域高维的波动问题.
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| 关 键 词： | 无网格方法 径向基函数 二阶时域波动方程 配点 复合二次函数 |
Solving of second-order time domain wave equations by meshless method |
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| Li Kun Huang Qibai Lin Liguang.Solving of second-order time domain wave equations by meshless method[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2011(3):26-29. |
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| Authors: | Li Kun Huang Qibai Lin Liguang |
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| Institution: | Li Kun1 Huang Qibai1 Lin Liguang2 |
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| Abstract: | Meshless method was introduced to solve second-order time domain wave equations numerically.The spatial derivatives were approximated by RBF(radial basis function) collocation method,whereas the temporal derivatives were discretized by the Crank-Nicolson method.Corresponding boundary conditions were enforced exactly at a discrete set of boundary nodes.The performances of the present method were demonstrated through their application to a 2D wave propagation problem over irregular domain.Comparing the result... |
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| Keywords: | meshless method radial basis function second-order time domain wave equation collocation multiquadric function |
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