摘要
精确模拟非线性波沿斜面传播过程非常困难,为此论文从势函数的边界积分方程出发,建立了一种时域内二维波浪模拟的数值模型,主要用来模拟完全非线性波浪的传播变形过程。论文的数值模型使用高阶二维边界元方法,采用可调节时间步长的基于二阶显式泰勒展开的混合欧拉-拉格郎日时间步进来求解带自由表面的线性或完全非线性波浪传播问题。在计算区域一端造出线性或非线性的周期性波浪,另一端采用消除反射波的人工粘性吸收边界。通过与现有理论比较证明了论文数值方法所得结果是准确可靠的。
Based on the boundary integration equation of two dimensional Laplace equations, a nonlinear time domain numerical model for wave transformation is given in this paper. The numerical method is applied to analyze both linear and nonlinear wave deformations caused by inclined water bottom. It is also used to solve fully nonlinear potential flow equations with a free surfacebyuse ofahigher-order boundary element method （HOBEM） together with a mixed Eulerian-Lagrangian time updating method based on the second-order explicit Taylor series expansions. Either linear or nonlinear periodic waves are generated at one end： and absorbing wave boundary conditions are specified at the other end. The results are verified through comparison with existing methods.
出处
《海洋技术》
2007年第4期20-22,26,共4页
Ocean Technology
基金
教育部留学回国人员基金
关键词
边界元
斜面
非线性波
波浪传播
boundary element method
inclined water bottom
nonlinear wave
wave propagation
