Comparison of Solutions of One-and Two-Temperature 2D Gas Dynamics Models

Article Sidebar

PDF
Published: Nov 28, 2022
Keywords:
Compressible fluids and gas dynamics Landau-Teller equation Lie group and algebra methods Symmetry analysis

Main Article Content

Piyanuch Siriwat
School of Science, Mae Fah Luang University, Chiang Rai, 57100 Thailand
Yurii N. Grigoriev
Institute of Computational Technology, Novosibirsk, Russia
Sergey V. Meleshko
School of Mathematics, Institute of Science, Suranaree University of Technology, Nakhon Ratchasima, 30000 Thailand

Abstract

The two- temperature gas 2D dynamics equations with the Landau-Teller equation are considered in the paper. The group analysis method is applied to the study these equations. An admitted Lie group is found and an optimal system of two-dimensional subalgebras is constructed. Using the optimal system all representations of nonequivalent solutions reducing to a system of ordinary differential equations can be obtained. A detailed analysis of two sets of invariant solutions is given. Comparison of these solutions with solutions of the classical gas dynamics equations is performed in the paper.

Article Details

How to Cite
Siriwat, P. ., Grigoriev , Y. N., & Meleshko, S. V. . (2022). Comparison of Solutions of One-and Two-Temperature 2D Gas Dynamics Models. KKU Science Journal, 49(1), 102–107. Retrieved from https://ph01.tci-thaijo.org/index.php/KKUSciJ/article/view/250231
Issue
Vol. 49 No. 1 (2021): January - March 2021
Section
Research Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

References

Grigoryev, Y. N. and Ershov, I. V. (2017). Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows. New York: Springer-Verlag.

Ovsiannikov, L. V. (1978). Group Analysis of Differential Equations. New York, USA: Academic Press.

Ovsiannikov, L. V. (1993). On optimal system of subalgebras, Doklady Mathematics 333(6): 702–704.

Ovsiannikov, L. V. (1994). The “podmodeli” program. Gas dynamics. Journal of Applied Mathematics and Mechanics 58(4): 601-627.

Ovsiannikov, L. V. (2003). Lectures on Basis of the Gas Dynamics. Moscow-Izhevsk: Institute of Computer Studies.

Landau, L. D. and Lifshitz, E. M. (1987). Fluid Mechanics. London, UK: Pergamon Press.