Author(s)

R.L. Kolar, J.P. Looped, J.J. Westering, W.G. Gray

Abstract

Finite element solutions of the shallow water wave equations have found increasing use by researchers and practitioners in the modeling of oceans and coastal areas. Wave equation models successfully eliminate spurious oscillation modes without resorting to artificial or numerical damping. Typically, wave equation models inte- grate the continuity equation with a three-time-level scheme centered at k and the momentum equation with a two-time-level scheme centered at &+1/2; nonlinear terms are evaluated explicitly. This allows for a computationally-efficient sequen- tial solution procedure. However in highly nonlinear applications, the algorithm becomes unstable for high Courant numbers. In this work, we examine a predictor

Keywords