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Alternative Forms of Enhanced Boussinesq Equations with Improved Nonlinearity

机译：具有改进非线性的增强型Boussinesq方程的替代形式

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摘要

We propose alternative forms of the Boussinesq equations which extend the equations of Madsen and Schaeffer by introducing extra nonlinear terms during enhancement. Theoretical analysis shows that nonlinear characteristics are considerably improved. A numerical implementation of one-dimensional equations is described. Three tests involving strongly nonlinear evolution, namely, regular waves propagating over an elevated bar feature in a tank with an otherwise constant depth, wave group transformation over constant water depth, and nonlinear shoaling of unsteady waves over a sloping beach, are simulated by the model. The model is found to be effective.
机译：我们提出了Boussinesq方程的替代形式，通过在增强过程中引入额外的非线性项来扩展Madsen和Schaeffer方程。理论分析表明，非线性特性得到了明显改善。描述了一维方程的数值实现。该模型模拟了三个涉及强非线性演化的测试，即，在不具有恒定深度的水箱中，规则波在高高的杆状特征上传播，在恒定水深范围内的波群变换，以及在倾斜海滩上非定常波的非线性潜入。 。发现该模型是有效的。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第3期|160749.1-160749.11|共11页
  • 作者

    Kezhao Fang; Zhongbo Liu; Qinqin Gui; Zhili Zou; Jiwei Yin;

  • 作者单位

    State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China,National Marine Environment Monitoring Center, State Oceanic Administration, Dalian 116023, China,Key Laboratory of Water-Sediment Sciences and Water Disaster Prevention of Hunan Province, Changsha 41004, China;

    State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China,Key Laboratory of Water-Sediment Sciences and Water Disaster Prevention of Hunan Province, Changsha 41004, China;

    Civil Engineering Department, University of Dundee, Dundee DD1 4HN, UK;

    State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;

    State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;

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