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Nystrom法计算水波绕射波高的数值模型

NUMERICAL MODEL OF WAVE DIFFRACTION FOR WAVE HEIGHT WITH NYSTROM METHOD
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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. 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.
作者 薛晓 王连堂
机构地区 西北大学数学系
出处 《陕西科技大学学报（自然科学版）》 2009年第1期154-157,共4页 Journal of Shaanxi University of Science & Technology
关键词 波浪绕射 HELMHOLTZ方程 NYSTROM方法 wave diffraction Helmholtz equation Nystrom method
分类号 TV139.2 [水利工程—水力学及河流动力学] O24 [理学—计算数学]
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参考文献8

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共引文献1

陕西科技大学学报（自然科学版）
2009年 第1期

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