Abstract
The variational Boussinesq equations derived by Klopman et. al. (2005) con-verse mass, momentum and positive-definite energy. Moreover, they were shown to have significantly improved frequency dispersion characteristics, making it suitable for wave simulation from relatively deep to shallow water. In this paper we develop a numerica lcode for the variational Boussinesq equations. This code uses a fourth-order predictor-corrector method for time derivatives and fourth-order finite difference method for the first-order spatial derivatives. The numerical method is validated against experimen-tal data for one-dimensional nonlinear wave transformation problems. Furthermore, the method is used to illustrate the dispersive effects on tsunami-type of wave propagation.DOI : http://dx.doi.org/10.22342/jims.14.1.57.1-11
Highlights
The variational Boussinesq equations derived by Klopman et al (2005) converse mass, momentum and positive-definite energy
In this paper we develop a numerical code for the variational Boussinesq equations
The numerical method is validated against experimental data for one-dimensional nonlinear wave transformation problems
Summary
The variational Boussinesq equations derived by Klopman et al (2005) converse mass, momentum and positive-definite energy. A FINITE DIFFERENCE METHOD FOR THE ONE-DIMENSIONAL VARIATIONAL BOUSSINESQ EQUATIONS
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
