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Towards a Hybrid Monte Carlo Method for Rarefied Gas Dynamics

  • Conference paper
Transport in Transition Regimes

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 135))

Abstract

For the Boltzmann equation, we present a hybrid Monte Carlo method that is robust in the fluid dynamic limit. The method is based on representing the solution as a convex combination of a non-equilibrium particle distribution and a Maxwellian. The hybrid distribution is then evolved by Monte Carlo with an unconditionally stable and asymptotic preserving time discretization. Some computational simulations of spatially homogeneous problems are presented here and extensions to spatially non homogeneous situations discussed.

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Author information

Authors and Affiliations

  1. Mathematics Department, UCLA, Los Angeles, CA, 90095, USA

    Russel E. Caflisch

  2. Mathematics Department, University of Ferrara, Via Machiavelli 35, Ferrara, Italy, I-44100

    Lorenzo Pareschi

Authors
  1. Russel E. Caflisch
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  2. Lorenzo Pareschi
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Editor information

Editors and Affiliations

  1. Laboratoire MIP, Université Paul Sabatier, Toulouse Cedex 4, 31062, France

    Naoufel Ben Abdallah

  2. Department of Mathematics, University of Texas at Austin, Austin, TX, 78712, USA

    Irene M. Gamba

  3. Department of Mathematics, Arizona State University, Tempe, AZ, 85287, USA

    Christian Ringhofer

  4. Angewandte Mathematik, Universität des Saarlandes, Saarbrucken, D-66041, Germany

    Anton Arnold

  5. Department of Mathematics, Indiana University, Bloomington, IN, 47405-5701, USA

    Robert T. Glassey

  6. Laboratoire MIP, Université Paul Sabatier, Toulouse Cedex 4, 31062, France

    Pierre Degond

  7. CSCAMM, University of Maryland, College Park, MD, 20742-4015, USA

    C. David Levermore

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© 2004 Springer Science+Business Media New York

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Caflisch, R.E., Pareschi, L. (2004). Towards a Hybrid Monte Carlo Method for Rarefied Gas Dynamics. In: Abdallah, N.B., et al. Transport in Transition Regimes. The IMA Volumes in Mathematics and its Applications, vol 135. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0017-5_3

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  • DOI: https://doi.org/10.1007/978-1-4613-0017-5_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6507-8

  • Online ISBN: 978-1-4613-0017-5

  • eBook Packages: Springer Book Archive

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