This article is cited in 40 papers

Implicit numerical method for computing three-dimensional rarefied gas flows on unstructured meshes

V. A. Titarev

Cranfield University, Cranfield, UK, MK43 0AL

Abstract: The method based on the numerical solution of a model kinetic equation is proposed for analyzing three-dimensional rarefied gas flows. The basic idea behind the method is the use of a second-order accurate TVD scheme on hybrid unstructured meshes in physical space and a fast implicit time discretization method without iterations at the upper level. The performance of the method is illustrated by computing test examples of three-dimensional rarefied gas flows in variously shaped channels in a wide range of Knudsen numbers.

Key words: rarefied gas, $S$-model, unstructured mesh, kinetic equation, implicit TVD scheme.

UDC: 519.634

Received: 29.03.2010

 English version: Computational Mathematics and Mathematical Physics, 2010, 50:10, 1719–1733

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