Group theoretic approach and analytical solutions of the compressible Navier-Stokes equations

2021/11/25 by Dina Razafindralandy, Razafindralandy, Dina, Aziz Hamdouni +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2111.13039

openalex publication_date 2021/11/25 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

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.

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