BIT Numerical Mathematics

, Volume 50, Issue 2, pp 331–376

Front tracking for a model of immiscible gas flow with large data


DOI: 10.1007/s10543-010-0264-6

Cite this article as:
Holden, H., Risebro, N.H. & Sande, H. Bit Numer Math (2010) 50: 331. doi:10.1007/s10543-010-0264-6


In this paper we study front tracking for a model of one dimensional, immiscible flow of several isentropic gases, each governed by a gamma-law. The model consists of the p-system with variable gamma representing the different gases. The main result is the convergence of a front tracking algorithm to a weak solution, thereby giving existence as well. This convergence holds for general initial data with a total variation satisfying a specific bound. The result is illustrated by numerical examples.


p-systemGamma lawMixture of gases

Mathematics Subject Classification (2000)


Copyright information

© Springer Science + Business Media B.V. 2010

Authors and Affiliations

  • Helge Holden
    • 1
    • 2
  • Nils Henrik Risebro
    • 2
  • Hilde Sande
    • 1
  1. 1.Department of Mathematical SciencesNorwegian University of Science and TechnologyTrondheimNorway
  2. 2.Centre of Mathematics for ApplicationsUniversity of OsloOsloNorway