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Efficient Deterministic Modelling of Three-Dimensional Rarefied Gas Flows

Published online by Cambridge University Press:  20 August 2015

V. A. Titarev
V. A. Titarev*
Affiliation:
Dorodnicyn Computing Centre of Russian Academy of Sciences, Vavilov st. 40, Moscow, Russia, 119333 Cranfield University, Cranfield, UK, MK43 0AL
*
*Corresponding author.Email:titarev@ccas.ru, titarev@mail.ru
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Abstract

The paper is devoted to the development of an efficient deterministic framework for modelling of three-dimensional rarefied gas flows on the basis of the numerical solution of the Boltzmann kinetic equation with the model collision integrals. The framework consists of a high-order accurate implicit advection scheme on arbitrary unstructured meshes, the conservative procedure for the calculation of the model collision integral and efficient implementation on parallel machines. The main application area of the suggested methods is micro-scale flows. Performance of the proposed approach is demonstrated on a rarefied gas flow through the finite-length circular pipe. The results show good accuracy of the proposed algorithm across all flow regimes and its high efficiency and excellent parallel scalability for up to 512 cores.

Keywords

82D0576P0582B4082C4076M1265N0865B99KineticS-modelunstructuredmixed-elementmicro channelrarefiedimplicit
Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 1 , July 2012 , pp. 162 - 192
Copyright
Copyright © Global Science Press Limited 2012

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