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

Authors:
Vladimir Titarev;Michael Dumbser;Sergey Utyuzhnikov
Affiliations:
Dorodnicyn Computing Centre of Russian Academy of Sciences, Moscow, Russia and Moscow Institute of Physics and Technology, Moscow, Russia;University of Trento, Trento, Italy;University of Manchester, Manchester, UK and Moscow Institute of Physics and Technology, Moscow, Russia
Venue:
Journal of Computational Physics
Year:
2014

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Abstract

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.