| Nystrom法计算水波绕射波高的数值模型 |
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| 引用本文： | 薛晓,王连堂.Nystrom法计算水波绕射波高的数值模型[J].西北轻工业学院学报,2009,27(1):154-157. |
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| 作者姓名： | 薛晓 王连堂 |
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| 作者单位： | 西北大学数学系,陕西,西安,710127
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| 摘 要： | 研究了一般等截面柱体的水波绕射问题中波高的计算．应用线性小振幅波理论将水波绕射问题转化为一个二维的Helmholtz方程，再采用Nystrom方法来求解二维的Helmholtz方程．通过求得的数值解与解析解的对比，说明作者给出的数值模型计算简单且有较高的精度．
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| 关 键 词： | 波浪绕射 Helmholtz方程 Nystrom方法 |
NUMERICAL MODEL OF WAVE DIFFRACTION FOR WAVE HEIGHT WITH NYSTROM METHOD |
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| XUE Xiao,WANG Lian-tang.NUMERICAL MODEL OF WAVE DIFFRACTION FOR WAVE HEIGHT WITH NYSTROM METHOD[J].Journal of Northwest University of Light Industry,2009,27(1):154-157. |
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| Authors: | XUE Xiao WANG Lian-tang |
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| Affiliation: | (Department of Mathematics, Northwest University, Xi＇an 710127,China) |
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| Abstract: | The paper study calculating the wave height of wave diffraction problem for common column with constant cross-section. The numerical model of linear wave diffraction is transformed into a two dimension Helmholtz equation by the airy wave theory. The Nystrom method is presented to solve the Helmholtz equation. Verified with the analytical solution, the numerical examples prove the simplicity and accuracy of the method. |
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| Keywords: | wave diffraction Helmholtz equation Nystrom method |
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