Document Type
Article
Publication Date
2-2020
Abstract
We consider a compact approximation of the kinetic velocity distribution function by a sum of isotropic Gaussian densities in the problem of spatially homogeneous relaxation. Derivatives of the macroscopic parameters of the approximating Gaussians are obtained as solutions to a linear least squares problem derived from the Boltzmann equation with full collision integral. Our model performs well for flows obtained by mixing upstream and downstream conditions of normal shock wave with Mach number 3. The model was applied to explore the process of approaching equilibrium in a spatially homogeneous flow of gas. Convergence of solutions with respect to the model parameters is studied. © 2019 The Authors
DOI
10.1016/j.rinam.2019.100085
Source Publication
Results in Applied Mathematics
Recommended Citation
Alekseenko, A., Grandilli, A., & Wood, A. W. (2020). An ultra-sparse approximation of kinetic solutions to spatially homogeneous flows of non-continuum gas. Results in Applied Mathematics, 5(Feb 2020), 100085. https://doi.org/10.1016/j.rinam.2019.100085
Comments
This is an open access article published by Elsevier and distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. CC BY 4.0
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