A HIGH-RESOLUTION NUMERICAL SCHEME FOR BOUSSINESQ EQUATIONS

摘要

A high-resolution numerical method for the enhanced Boussinesq equations is proposed.rnThe method is based on a conservative form of the governing equations. Time stepping isrncarried out with a Runge-Kutta scheme. The scheme for spatial discretization possesses of arntotal variation diminishing (TVD) feature. Second order derivatives of functions arernevaluated on the basis of spline approximations. The method is applied to the computationrnof wave motion over a sloping beach.