| A NOVEL METHOD OF SOLVING THE EXACT EQUATIONS FOR CAPILLARY-GRAVITY WAVES |
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| 作者姓名： | 邹启苏 陈耀松 钱宝源 |
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| 作者单位： | Kansas State University. Manhattan，Kansas USA，Peking University，Beijing，Peking University，Beijing |
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| 摘 要： | A new method is presented for the computation of two-dimensional periodicprogressive surface waves propagating under the combined influence of gravity and surfacetension.The nonlinear surface is expressed by Fourier series with finite number of terms,after the computational domain is transformed into a unit circle.The dynamic boundaryequation is used in its exact nonlinear form and the coefficients of Fourier series are foundby the Nweton-Raphson method successively.This is a neat method,Yielding highprescision with little computational effort.
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| 收稿时间： | 17 March 1990 |
A novel method of solving the exact equations for capillary-gravity waves |
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| Zou Qi-su,Chen Yao-song,Qian Bao-yuan.A NOVEL METHOD OF SOLVING THE EXACT EQUATIONS FOR CAPILLARY-GRAVITY WAVES[J].Applied Mathematics and Mechanics(English Edition),1991,12(3):309-312. |
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| Authors: | Zou Qi-su Chen Yao-song Qian Bao-yuan |
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| Institution: | (1) Kansas State University, Manhattan, Kansas, USA;(2) Peking University, Beijing |
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| Abstract: | A new method is presented for the computation of two-dimensional periodic progressive surface waves propagating under the combined influence of gravity and surface tension. The nonlinear surface is expressed by Fourier series with finite number of terms, after the computational domain is transformed into a unit circle. The dynamic boundary equation is used in its exact nonlinear form and the coefficients of Fourier series are found by the Newton-Raphson method successively. This is a neat method, Yielding high prescision with little computational effort. |
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| Keywords: | capillary wave non-linear wave optimization method |
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