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

Vladimir Titarev, Michael Dumbser, Sergey Utyuzhnikov

Research output: Contribution to journalArticlepeer-review

56 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)17-33
Number of pages17
JournalJournal of Computational Physics
Publication statusPublished - 1 Jan 2014
Externally publishedYes


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


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