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首页> 外文期刊>Coastal engineering >A coupled-mode system with application to nonlinear water waves propagating in finite water depth and in variable bathymetry regions
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A coupled-mode system with application to nonlinear water waves propagating in finite water depth and in variable bathymetry regions

机译：一种耦合模式系统，应用于在有限水深和可变测深区中传播的非线性水波

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摘要

A non-linear coupled-mode system of horizontal equations is presented, modelling the evolution of nonlinear water waves in finite depth over a general bottom topography. The vertical structure of the wave field is represented by means of a local-mode series expansion of the wave potential. This series contains the usual propagating and evanescent modes, plus two additional terms, the free-surface mode and the sloping-bottom mode, enabling to consistently treat the non-vertical end-conditions at the free-surface and the bottom boundaries. The present coupled-mode system fully accounts for the effects of non-linearity and dispersion, and the local-mode series exhibits fast convergence. Thus, a small number of modes (up to 5-6) are usually enough for precise numerical solution. In the present work, the coupled-mode system is applied to the numerical investigation of families of steady travelling wave solutions in constant depth, corresponding to a wide range of water depths, ranging from intermediate depth to shallow-water wave conditions, and its results are compared vs. Stokes and cnoidal wave theories, as well as with fully nonlinear Fourier methods. Furthermore, numerical results are presented for waves propagating over variable bathymetry regions and compared with nonlinear methods based on boundary integral formulation and experimental data, showing good agreement.
机译：提出了一种水平方程组的非线性耦合模式系统，该模型对一般底部地形上有限深度的非线性水波的演化进行了建模。波场的垂直结构通过波势的局部模式级数展开表示。该系列包含常规的传播和渐逝模式，以及两个附加术语：自由表面模式和倾斜底部模式，从而能够始终如一地处理自由表面和底部边界处的非垂直最终条件。当前的耦合模式系统充分考虑了非线性和色散的影响，并且本地模式序列表现出快速收敛。因此，少量模式（最多5-6）通常足以满足精确的数值解。在本工作中，将耦合模式系统应用于恒定深度的稳态行波解族的数值研究，该深度对应于从中深度到浅水波条件的大范围水深，其结果比较了Stokes和正弦波理论，以及完全非线性的Fourier方法。此外，给出了在可变测深区域传播的数值结果，并与基于边界积分公式和实验数据的非线性方法进行了比较，显示出很好的一致性。

著录项

  • 来源
    《Coastal engineering》 |2011年第4期|p.337-350|共14页
  • 作者

    K.A. Belibassakis; G.A. Athanassoulis;

  • 作者单位

    Dept. of Naval Architecture, Technological Educational Institute of Athens, Ag. Spyridonos 12210, Athens, Greece;

    School of Naval Architecture and Marine Engineering, National Technical University of Athens, Zografos 15773, Athens, Greece;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    coupled modes; nonlinear water waves; finite depth; variable bathymetry;

    机译：耦合模式非线性水波有限深度可变测深;

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