High-order entropy-based closures for linear transport in slab geometry

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    Abstract

    We compute high-order entropy-based (MN) models for a linear transport equation on a one-dimensional slab geometry. We simulate two test problems from the literature: the two-beam instability and the plane-source problem. In the former case, we compute solutions for systems up to order N = 6; in the latter, up to N = 15. The most notable outcome of these results is the existence of shocks in the steady-state profiles of the two-beam instability for all odd values of N.

    Original languageEnglish
    Pages (from-to)187-205
    Number of pages19
    JournalCommunications in Mathematical Sciences
    Volume9
    Issue number1
    DOIs
    StatePublished - Mar 2011

    Keywords

    • Maximum entropy
    • Moment closures
    • Particle transport

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