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Calculation of Solitary Wave Shoaling on Plane Beaches by Extended Boussinesq Equations

机译:用扩展Boussinesq方程计算平面海滩上的孤立波浅滩。

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AbstractIn this study, shoaling phenomenon is analyzed using Galerkin finite element approach. This numerical scheme is applied to the extended Boussinesq equations derived by Beji and Nadaoka (1996) for simulation of shoaling on plane beaches. For spatial discretization, quadratic elements with three-station Lagrange interpolation polynomials are used for horizontal velocity and the water surface elevation. However, for time discretization, two different numerical schemes are used. The first method is a combination of semi-implicit schemes with low-order backward finite difference for time integration and the second method is high-order AdamBashforth-Moulton predictor-corrector strategy. Based on this numerical approach, shoaling phenomenon caused by propagation of a solitary wave on sloped beaches is modeled and the results are compared with the available results from the fully nonlinear potential flow model. Considering the fact that the extended Boussinesq equations are affected by nonlinear effects, ...
机译:摘要在本研究中,利用Galerkin有限元方法分析了浅滩现象。该数值方案适用于Beji和Nadaoka(1996)导出的扩展Boussinesq方程,用于模拟平面海滩上的滩涂。对于空间离散化,具有三站Lagrange插值多项式的二次元用于水平速度和水面高程。但是,对于时间离散化,使用了两种不同的数值方案。第一种方法是将半隐式方案与低阶向后有限差分进行时间积分,第二种方法是高阶AdamBashforth-Moulton预测器-校正器策略。基于这种数值方法,对由孤立波在倾斜海滩上传播引起的浅滩现象进行了建模,并将其结果与全非线性势流模型的可用结果进行了比较。考虑到扩展的Boussinesq方程受非线性影响的事实,...

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