Open AccessSpectral method for the Boltzmann equation for gases with viscosity
Author(s) -
Dinh Phan Cao Nguyen
Publication year - 2020
Publication title -
khoa học và công nghệ: tự nhiên
Language(s) - English
Resource type - Journals
ISSN - 2588-106X
DOI - 10.32508/stdjns.v2i6.886
Subject(s) - viscosity , boltzmann equation , boltzmann constant , lattice boltzmann methods , volume viscosity , physics , mechanics , statistical physics , classical mechanics , thermodynamics
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.