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

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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.

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Authors and Affiliations

  1. Cranfield University, Cranfield, UK, MK43 0AL

    V. A. Titarev

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  1. V. A. Titarev
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Correspondence to V. A. Titarev.

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Original Russian Text © V.A. Titarev, 2009, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2009, Vol. 49, No. 7, pp. 1255–1270.

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Titarev, V.A. Numerical method for computing two-dimensional unsteady rarefied gas flows in arbitrarily shaped domains. Comput. Math. and Math. Phys. 49, 1197–1211 (2009). https://doi.org/10.1134/S0965542509070112

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