A method for numerical simulation of shock waves in rarefied gas mixtures based on direct solution of the Boltzmann kinetic equation

• Published in: Journal of computational physics 2025-01, Vol.520, p.113463, Article 113463
• Main Authors: Sitnikov, S.S., Tcheremissine, F.G.
• Format: Article
• Language: English
• Subjects: Boltzmann equation; Gas mixture; Numerical simulation; Rarefied gas dynamics; Shock wave
• ISSN: 0021-9991
• DOI: 10.1016/j.jcp.2024.113463

•An approach to numerical simulation of shock waves in gas mixtures was proposed.•Software for simulating gas flows based on the Boltzmann equation was developed.•The structure of a shock wave in a binary gas mixture was computed.•The total accuracy of at least 1.4% was achieved.•Simulation of a shock wave propagation through a perforated surface was performed. The paper proposes an approach to numerical simulation of shock waves in rarefied gas mixtures on the basis of direct solution of the Boltzmann kinetic equation. Software for simulating the gas flows was developed. The structure of a shock wave in a binary gas mixture was computed with an accuracy controlled by the computational parameters. The computations were performed for various molecular masses ratios and Mach numbers. The total accuracy of at least 1.4% for the local values of the molecular densities and temperatures of the mixture components was achieved. Numerical simulation of a shock wave propagation through a periodically perforated surface was performed. The distributions of the macroscopic characteristics of the mixture components at various points in time were obtained. Unsteady areas of strong separation of the gas mixture components were discovered.