关于浅水GN模型的造波边界条件研究

全部作者: 赵彬彬,段文洋*
作者单位: 哈尔滨工程大学船舶工程学院
摘 要: 提出一种GN水波理论的新型造波边界条件,将基于流函数波浪理论的计算结果作为GN水波理论的造波边界条件。使用最小二乘法对流函数波浪理论计算出的速度按照GN理论的速度假设进行拟合,得到使用GN理论数值造波时所必须的速度系数。对于非线性较强的情况(一阶椭圆余弦波的计算结果较差或解不存在时),建议使用本文提出的基于流函数波浪理论的计算结果配合使用最小二乘法的方法作为GN理论的造波边界条件。另外,对于非线性很强的浅水波,建议使用GN-3理论,而不是GN-1理论。
关 键 词: 流体力学;GN水波模型;椭圆余弦波;最小二乘法;GN-3模型
Title: Research on the wave-maker boundary condition of the GN models in shallow water
Author: ZHAO Binbin, DUAN Wenyang
Organization: College of Ship Building Engineering, Harbin Engineering University
Abstract: A new wave-maker boundary condition based on the stream function wave theory is presented in the GN wave theory. The least square method is used to calculate the wave function theory of convection velocity fitted according to the theory of GN velocity assumption, necessary velocity coefficient was obtained numerically using GN wave theory. In the case of strong nonlinear conditions (first order cnoidal wave theory cannot give accurate results), the proposed wave-maker boundary condition based on the results of the stream function wave theory is strongly advised. In addition, it is suggested to use the GN-3 theory instead of the GN-1 theory when simulating strong nonlinear shallow water wave.
Key words: fluid mechanics; GN wave model; cnoidal waves; least square method; GN-3 model
发表期数: 2016年4月第7期
引用格式: 赵彬彬,段文洋*. 关于浅水GN模型的造波边界条件研究[J]. 中国科技论文在线精品论文,2016,9(7):695-701.
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