Skip to main content
SpringerLink
Log in
Book cover

Sixteenth International Conference on Numerical Methods in Fluid Dynamics pp 260–265Cite as

A Roe scheme for the bi-temperature model of magnetohydrodynamics

  • Compressible Flows
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Physics ((LNP,volume 515))

Abstract

In this paper, a Roe scheme for the bi-temperature magnetohydrodynamics (MHD) model is set up. A Roe matrix is obtained for the one dimension system in eulerian coordinates. These results are extended to the two dimension case. One and two dimension numerical examples show off the Roe solver efficiency.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • P. Cargo and G. Gallice, Un solveur de Roe pour les quations de la magnétohydrodynamique. C.R.Acad. Sci. Paris 320(I), 1269–1272 (1995).

    MATH  MathSciNet  Google Scholar 

  • M. Brio and C.C. Wu, An Upwind Differencing Scheme for the Equations of Ideal Magnetohydrodynamics. J. Comput. Phys. 75, 400–422 (1988).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • P.L. Roe, Approximate Riemann Solvers, Parameter Vectors, and difference Schemes. J. Comput. Phys. 43, 357–372 (1981).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • R. Liska and B. Wendroff, Composite Schemes for Conservation Laws. To appear in SIAM Journal on Numerical Analysis.

    Google Scholar 

  • T.I. Gombosi, D.L. De Zeeuw, R.M. Haberli and K.G. Powell, A 3D Multiscale MHD Model of Cometary Plasma Environments. submitted to Journal of Geophysical Research (1996).

    Google Scholar 

  • K.G. Powell, An Approximate Riemann Solver for Magnetohydrodynamics (that works in more than one dimension). ICASE Report, 94-24 (1994).

    Google Scholar 

  • G. Gallice, Système d'Euler-Poisson, Magnétohydrodynamique et Schémas de Roe. Ph.D. thesis, Université Bordeaux I (1997).

    Google Scholar 

  • F. Coquel and C. Marmignon, A Roe-type Linearization for the Euler equations for weakly ionized multi-component and multi-temperature gas. AIAA CFD Conference, San Diego (1995).

    Google Scholar 

  • S. Brassier and G. Gallice, 28ieme Congrés d'analyse Numérique, France (1996).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Commissariat à l’Energie Atomique, CESTA/DEV/SIS, BP2, 33114, Le Barp, FRANCE

    M. S. Brassier & G. Gallice

Authors
  1. M. S. Brassier
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Gallice
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Charles-Henri Bruneau

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag

About this paper

Cite this paper

Brassier, M.S., Gallice, G. (1998). A Roe scheme for the bi-temperature model of magnetohydrodynamics. In: Bruneau, CH. (eds) Sixteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 515. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106592

Download citation

  • DOI: https://doi.org/10.1007/BFb0106592

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65153-6

  • Online ISBN: 978-3-540-49540-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation