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

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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.

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Authors and Affiliations

  1. Laboratory of Applied Mathematics, Department of Civil and Environmental Engineering, University of Trento Via Mesiano, 77, 38050, Trento, Italy

    V. A. Titarev

  2. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

    E. M. Shakhov

Authors
  1. V. A. Titarev
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  2. E. M. Shakhov
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Original Russian Text © V.A. Titarev, E.M. Shakhov, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 3, pp. 527–535.

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Titarev, V.A., Shakhov, E.M. Numerical analysis of the spiral Couette flow of a rarefied gas between coaxial cylinders. Comput. Math. and Math. Phys. 46, 505–513 (2006). https://doi.org/10.1134/S096554250603016X

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  • DOI: https://doi.org/10.1134/S096554250603016X

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