Original scientific paper

The accuracy analysis of fully nonlinear Boussinesq equations

Chi-Min Liu ; General Education Center, Chienkuo Technology University, Changhwa City, TAIWAN
Chin-Hwa Kong ; Department of Engineering Science and Ocean Engineering, National Taiwan University, Taipei, TAIWAN

Abstract

The accuracy analysis of fully nonlinear Boussinesq equations is made in this study. We first introduce the modified Boussinesq equations expressed in a recursion form. It is helpful for engineers to derive the higher order of equations in the future if needed. Almost all linear and nonlinear wave properties are derived subsequently. By comparing the error magnitude of each wave property, one can determine the optimal model and find that for wave propagation in shallow water, the higher order of Boussinesq equations provides a better prediction. But, for wave properties in deep water, the ( ) 4 O µ model behaves better in nonlinear properties and worse in some particle characteristics.

Keywords

Boussinesq equations, accuracy, nonlinear property, linear property

Hrčak ID:

295595

URI

https://hrcak.srce.hr/295595

Publication date:

15.12.2005.

Visits: 350 *