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首页> 外文期刊>Ocean Engineering >A three-dimensional arbitrary Lagrangian-Eulerian Petrov-Galerkin finite element model for fully nonlinear free-surface waves
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A three-dimensional arbitrary Lagrangian-Eulerian Petrov-Galerkin finite element model for fully nonlinear free-surface waves

机译：完全非线性自由表面波的三维任意Lagrangian-Eulerian Petrov-Galerkin有限元模型

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摘要

A three-dimensional numerical model based on the incompressible Navier-Stokes equations is developed to simulate fully nonlinear water wave propagation problems. The Navier-Stokes equations are solved using the Arbitrary Lagrangian-Eulerian scheme (ALE) and the Petrov-Galerkin Finite Element Method (PG-FEM). A fractional step method is used in the time discretization, where the convection and diffusion terms are separated from the pressure terms when solving the momentum equations. A damping layer is set in front of the outgoing boundary for absorbing the outgoing waves. The model is validated against a series of experimental data, including wave propagation over a submerged bar, wave propagation over a semicircular shoal and wave propagation over a submerged vertical breakwater. The good agreement between the numerical results and experimental data demonstrates the capacity and the accuracy of the model for simulating wave propagation over uneven seabed and wave interaction with submerged structures.
机译：建立了基于不可压缩的Navier-Stokes方程的三维数值模型，以模拟完全非线性的水波传播问题。 Navier-Stokes方程使用任意Lagrangian-Eulerian方案（ALE）和Petrov-Galerkin有限元方法（PG-FEM）求解。在时间离散中使用分数步法，其中在求解动量方程时将对流和扩散项与压力项分开。在出射边界的前面设置了一个阻尼层，用于吸收出射波。该模型针对一系列实验数据进行了验证，包括在水下钢筋上的波传播，在半圆形浅滩上的波传播以及在垂直防波堤上的波传播。数值结果与实验数据之间的良好一致性证明了该模型模拟海浪在不平坦海床上传播以及与水下结构相互作用的能力和准确性。

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  • 来源
    《Ocean Engineering》 |2014年第15期|389-398|共10页
  • 作者

    Baolei Geng; Ming Zhao;

  • 作者单位

    National Engineering Laboratory for Port Hydraulic Construction Technology, Tianjin Research Institute for Water Transportation Engineering. M. O. T., No. 2618, Xingang Erhao Road, Binhai New Area, Tianjin 300456, China;

    School of Computing, Engineering and Mathematics, University of Western Sydney, Locked Bag 1797, Penrith 2751, NSW, Australia,Institute for Infrastructure Engineering, University of Western Sydney, Locked Bag 1797, Penrith 2751, NSW, Australia;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Navier-Stokes equations; Finite element method; Waves; Numerical model;

    机译：Navier-Stokes方程;有限元法;波浪;数值模型;

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