Efficient implementation of non-oscillatory schemes for the computation of free-surface flows

Abstract

Two high-resolution numerical schemes based on Lax-Friedrichs numerical flux and ENO type of extrapolation are presented for the computation of free-surface flows. The performances of these schemes are similar to other high-resolution (TVD and ENO) schemes. However, the ease of implementation makes the new method very attractive for practical applications. The first numerical scheme is afterwards modified to account for the presence of the bottom slope terms. Several applications are presented.