The Shallow Water Model

(last updated October 5, 2007)

Abstract

We give an introduction to the system of shallow water equations. Emphasis is put upon its analytical properties and its implications for numerical solution strategies.

1 Introduction
2 Discussion of the Riemann problem
3 Finite volume method for the numerical solution of the flat-bottom case
References
4 Weak solutions of conservation laws and the jump conditions
5 Algorithm for analytic solution of flat-bottom Riemann problem
6 Algorithm for numerical solution of flat-bottom Riemann problem by different finite volume methods of Godunov type
Index
Contents
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