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

• Published in: Journal of hydrodynamics. Series B Vol. 27; no. 5; pp. 696 - 707
• Main Author: 荆海晓 刘长根 陶建华
• Format: Journal Article
• Language: English
• Published: Singapore Elsevier Ltd 01.10.2015; Springer Singapore; Department of Mechanics, Tianjin University, Tianjin 300350, China
• 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; Stokes-type analysis; Boussinesq-type equations; harmonic generation; nonlinearity
• ISSN: 1001-6058; 1878-0342
• DOI: 10.1016/S1001-6058(15)60532-7

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.