Finite Volume Methods for Nonconservative Hyperbolic Systems: Application to Shallow-Flows

Authors

  • M.J. Castro
  • J.M Gallardo-Molina
  • J.A. López-García
  • A. Pardo
  • C. Parés

DOI:

https://doi.org/10.1685/

Abstract

In this work, a theoretical framework allowing to extend some general concepts related to the numerical approximation of 1d conservation laws to the more general case of first order quasi-linear hyperbolic systems is presented. This framework is intended to be useful for the design and the analysis of well-balanced numerical schemes for solving balance laws or coupled systems of conservation laws. The concept of path-conservative numerical scheme is introduced and some examples of Approximate Riemann Solvers are provided as well as a general form of a high order scheme. Finally, some numerical simulations concerning shallow-flows will be presented. [DOI: 10.1685 / CSC06042] About DOI

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Published

2007-10-01

Issue

Vol. 1 (2006)

Section

Articles

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