Implicit multiblock method for solving a kinetic equation on unstructured meshes

Authors:
M. Dumbser;V. A. Titarev;S. V. Utyuzhnikov
Affiliations:
I-38123, University of Trento, Trento, Italy;Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, Russia 119333;University of Manchester, Manchester, UK M60 1QD
Venue:
Computational Mathematics and Mathematical Physics
Year:
2013

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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.