This article is cited in 41 papers

Numerical method for computing two-dimensional unsteady rarefied gas flows in arbitrarily shaped domains

V. A. Titarev

Cranfield University, Cranfield, UK, MK43 0AL

Abstract: A high-order accurate method for analyzing two-dimensional rarefied gas flows is proposed on the basis of a nonstationary kinetic equation in arbitrarily shaped regions. The basic idea behind the method is the use of hybrid unstructured meshes in physical space. Special attention is given to the performance of the method in a wide range of Knudsen numbers and to accurate approximations of boundary conditions. Examples calculations are provided.

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

UDC: 519.677

Received: 05.11.2008

 English version: Computational Mathematics and Mathematical Physics, 2009, 49:7, 1197–1211

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