BIT Numerical Mathematics

, Volume 50, Issue 2, pp 331–376 | Cite as

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

Article

Abstract

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.

Keywords

p-system Gamma law Mixture of gases 

Mathematics Subject Classification (2000)

35L65 76N15 35A05 

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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

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