Author(s)

S.W. Bova, A.A. Lorber & G.F. Carey

Abstract

Time-iterative strategies for obtaining steady state solutions to the shallow water equations are developed using reduced-order, multistage Runge-Kutta (RK) methods. The shallow water system is formulated using a streamline upwind/Petrov-Galerkin technique that includes an additional operator for control of steep gradients. Numerical results are given to illustrate the performance of the RK methods. 1 Introduction Finite element methods are particularly appealing for the solution of the shallow water equations because of the ease with which irregular bound- aries, obstructions, islands, and strongly varying bathymetry can be han- dled. However, many of the well-known difficulties associated with solving convective transport problems must be accomodated [1]. These difficulties, common

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