Group theoretic approach and analytical solutions of the compressible Navier-Stokes equations
Fluid Dynamics
2021-11-29 v1
Abstract
A group theoretic analysis of the compressible Navier-Stokes equations of an ideal gas are carried out. The 12-dimensional Lie symmetry group is computed. The commutation table and the Levi decomposition of its Lie algebra are presented. The equations are reduced and self-similar one-, two- and three-dimensional solutions are computed. Many of them are graphically illustrated.
Keywords
Cite
@article{arxiv.2111.13039,
title = {Group theoretic approach and analytical solutions of the compressible Navier-Stokes equations},
author = {Dina Razafindralandy and Aziz Hamdouni},
journal= {arXiv preprint arXiv:2111.13039},
year = {2021}
}