New 3D Boussinesq-type model for water waves on permeable seabeds

被引：0
|
作者：
Liu Z.-B. [1 ]
Han P.-X. [1 ]
Fang K.-Z. [2 ]
Liu Y. [3 ]
机构：
[1] College of Transportation Engineering, Dalian Maritime University, Dalian
[2] National Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian
[3] College of Engineering, Ocean University of China, Qingdao
来源：
Chuan Bo Li Xue/Journal of Ship Mechanics | 2024年 / 28卷 / 05期
关键词：
damping rate; numerical model; permeable seabed; phase speed;
D O I：
10.3969/j.issn.1007-7294.2024.05.006
中图分类号：
学科分类号：
摘要：
In order to consider the attenuation effect of the pore medium on the wave propagation deformation, linear resistance, nonlinear resistance and inertial force are introduced in the governing equations of the permeable medium fluid. The exact kinematic and kinetic boundary conditions are used on free surface, and the exact kinetic boundary conditions are adopted on the underwater boundary conditions, and the vertical velocity satisfies the continuity and the horizontal velocity satisfies the momentum equality condition between the free water and the water in permeable medium. Firstly, the three-dimensional Boussinesq-type water-wave equations expressed in two sets of computational velocities with the highest spatial derivative of 3 were derived to suit the wave motion of single-layer permeable seabed. Secondly, Fourier analysis was performed on the newly-presented equations, and the phase velocities and decay rates of the equations were compared with the analytical solutions of Stokes linear waves. The analytical solutions of the equation are in good agreement with the analytical solutions of Stokes linear waves in the range of a dimensionless water depth of h1/L< 1.0 (deep water wavelength L=gT2/(2π)) at 1% error with a relative water depth of h2/h1=0.1-10, which exceeds the range of applicability with any Boussinesq-type model in history. Further, a numerical model of the two-dimensional flume was developed and the numerical model was solved using a prediction-correction-iterative finite-difference method, and a composite fourth-order Adams-Bashforth-Moulton scheme was chosen for time iteration. Finally, the wave evolution over the permeable terrain was simulated and numerical simulations were carried out. Comparison with the relevant experimental results shows a good agreement. © 2024 China Ship Scientific Research Center. All rights reserved.
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页码：697 / 704
页数：7
相关论文
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