Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions

Vladimir Titarev, Michael Dumbser, Sergey Utyuzhnikov

    Research output: Contribution to journalArticlepeer-review


    The paper is devoted to the further development and systematic performance evaluation of a recent deterministic framework Nesvetay-3D for modelling three-dimensional rarefied gas flows. Firstly, a review of the existing discretization and parallelization strategies for solving numerically the Boltzmann kinetic equation with various model collision integrals is carried out. Secondly, a new parallelization strategy for the implicit time evolution method is implemented which improves scaling on large CPU clusters. Accuracy and scalability of the methods are demonstrated on a pressure-driven rarefied gas flow through a finite-length circular pipe as well as an external supersonic flow over a three-dimensional re-entry geometry of complicated aerodynamic shape. © 2013.
    Original languageEnglish
    Pages (from-to)17-33
    Number of pages16
    JournalJournal of Computational Physics
    Publication statusPublished - 1 Jan 2014


    • Implicit
    • Kinetic
    • Micro
    • Parallel
    • Rarefied
    • Re-entry vehicle
    • S-model
    • Unstructured


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