Implicit multiblock method for solving a kinetic equation on unstructured meshes

M. Dumbser, V. A. Titarev, S. V. Utyuzhnikov

    Research output: Contribution to journalArticlepeer-review

    Abstract

    A parallel multiblock implementation of a second-order accurate implicit numerical method based on solving a model kinetic equation is proposed for analyzing three-dimensional rarefied gas flows. The performance of the method is illustrated by computing test examples of gas flows in a circular pipe in a wide range of Knudsen numbers. The convergence rate and scalability of the method are analyzed depending on the number of blocks in the spatial grid. © 2013 Pleiades Publishing, Ltd.
    Original languageEnglish
    Pages (from-to)601-615
    Number of pages14
    JournalComputational Mathematics and Mathematical Physics
    Volume53
    Issue number5
    DOIs
    Publication statusPublished - May 2013

    Keywords

    • implicit TVD scheme
    • kinetic equation
    • rarefied gas
    • S-model

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