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Spectral method for the Boltzmann equation for gases with viscosity

Dinh Phan Cao Nguyen 1, *
  1. Nha Trang University
Correspondence to: Dinh Phan Cao Nguyen, Nha Trang University. Email: phamvanphuc2308@gmail.com.
Volume & Issue: Vol. 2 No. 6 (2018) | Page No.: 232-240 | DOI: 10.32508/stdjns.v2i6.886
Published: 2020-02-22

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This article is published with open access by Viet Nam National University Ho Chi Minh City, Viet Nam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.

Abstract

We propose in this paper a spectral method for the Boltzmann equation for gases with viscosity/friction. We describe the density of particles and compare the results in the case of gases with friction and rarefied gas. This is the first numerical result for the equation. We show numerically that under the presence of the viscosity, the solution dissipates to 0. The larger the viscosity is, the faster the solution converges to 0.

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