This article is cited in 24 papers

Numerical analysis of the spiral Couette flow of a rarefied gas between coaxial cylinders

V. A. Titarev^a, E. M. Shakhov<sup>b

a</sup> Laboratory of Applied Mathematics, Department of Civil and Environmental Engineering, University of Trento Via Mesiano, 77, 38050 Trento, Italy
^b Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

Abstract: An implicit quasi-monotone second-order accurate method is proposed for analyzing the spiral Couette flow of a rarefied gas between coaxial cylinders. The basic advantages of the method over the conventional method of stationry iterations are that the former is conservative with respect to the collision integral, has a simple software implementation for any types of boundary conditions, and applies to a wide range of Knudsen numbers.

Key words: kinetic equation, implicit TVD scheme, axisymmetric problem.

UDC: 519.634

Received: 07.07.2005
Revised: 13.10.2005

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:3, 505–513

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