An extended form of Boussinesq-type equations for nonlinear water waves

An extended form of Boussinesq-type equations with improved nonlinearity is presented for the water wave propagation and transformation in coastal areas. To improve the nonlinearity of lower order Boussinesq-type equations,without including higher order derivative terms, an extended form of Boussine...

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Bibliographic Details
Published in:Journal of hydrodynamics. Series B 2015-10, Vol.27 (5), p.696-707
Main Author: 荆海晓 刘长根 陶建华
Format: Article
Language:English
Subjects:
Boussinesq-type equations
Engineering
Engineering Fluid Dynamics
harmonic generation
Hydrology/Water Resources
nonlinearity
Numerical and Computational Physics
Simulation
Stokes-type analysis
广义方法
扩展形式
沿海地区
波的传播
非线性Boussinesq方程
非线性水波
非线性特性
高阶导数
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Summary:An extended form of Boussinesq-type equations with improved nonlinearity is presented for the water wave propagation and transformation in coastal areas. To improve the nonlinearity of lower order Boussinesq-type equations,without including higher order derivative terms, an extended form of Boussinesq-type equations is derived by a generalized method. The Stokes-type analysis of the extended equations shows that the accuracy of the second order and third order nonlinear characteristics is improved greatly. The numerical test is also carried out to investigate the practical performance of the new equations under different wave conditions. Better agreement with experimental data is found in the regions of strong nonlinear wave-wave interaction and harmonic generation.
ISSN:1001-6058
1878-0342
DOI:10.1016/S1001-6058(15)60532-7