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

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)601-615
Number of pages15
JournalComputational Mathematics and Mathematical Physics
Volume53
Issue number5
DOIs
Publication statusPublished - May 2013
Externally publishedYes

Keywords

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

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