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Direct numerical simulation of the evolution of a two-dimensional vortex system in a rarefied gas

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Abstract

A two-dimensional problem with Taylor-Green initial conditions and periodic boundary conditions in a viscous compressible weakly-rarefied gas is solved within the framework of the kinetic approach. The aim of the study is to model the evolution of a given vortex system on the basis of the direct numerical solution of the Boltzmann equation. For this purpose, the discrete ordinates method is used with the collision integral calculated by the Cheremisin conservative projection method which conserves the density, momentum, and energy. The solution obtained makes it possible to trace the evolution of a vortex system given by the initial conditions and to determine the spectral properties of the flow. The flow parameter distributions are presented for successive moments of time.

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Authors
  1. O. I. Rovenskaya
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Additional information

Original Russian Text © O.I. Rovenskaya, 2008, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2008, Vol. 43, No. 5, pp. 171–178.

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Rovenskaya, O.I. Direct numerical simulation of the evolution of a two-dimensional vortex system in a rarefied gas. Fluid Dyn 43, 823–829 (2008). https://doi.org/10.1134/S0015462808050177

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  • DOI: https://doi.org/10.1134/S0015462808050177

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