Generalized boussinesq model for periodic non-linear shallow-water waves |
| |
| Authors: | L Jiang X Ren K-H Wang K-R Jin |
| |
| Institution: | aDepartment of Civil and Environmental Engineering, University of Houston, Houston, TX 77204-4791, U.S.A.;bSouth Florida Water Management District, West Palm Beach, FL 33406, U.S.A. |
| |
| Abstract: | This paper presents the development of a generalized Boussinesq (gB) model for the periodic non-linear shallow-water waves. An incident cnoidal wave solution for the gB model is derived and applied to the wave simulation. A set of radiation boundary conditions is also established to transmit effectively the cnoidal waves out of the computational domain. The classical solutions of the second-order cnoidal waves are discussed within the content of the KdV equation and the generalized Boussinesq equations. An Euler's predictor-corrector finite-difference algorithm is used for numerical computation. The propagation of normally incident cnoidal waves in a channel is studied. The simulated wave profiles agree well with the analytical results. The temporal and spatial evolution of an obliquely incident cnoidal wave is also modelled. The phenomenon of Mach reflection is discussed. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
