Газ динамикасына арналған есептерде больцман теңдеуін қолданудың тәсілдеріГаз динамикасына арналған есептерде больцман теңдеуін қолданудың тәсілдері

Abstract

. For macroscopic gas dynamics equations, it is recommended to consider boundary conditions in a solid wall. This topic covers an important area studying the relationship between microscopic and macroscopic levels of gas dynamics. In solving complex calculations of gas dynamics, the role of the Boltzmann kenetic equation and modern methods for its application are considered. In cases where the macroscopic Navier-Stokes equations lose their strength (when the Knudsen number is large), the importance of the Boltzmann equation as the main means of characterizing the gas flow is justified. This approach is consistent with setting boundary calculations for the Boltzmann equation. The result is a new kind of gas dynamics equations. In conclusion, conclusions are drawn about the accuracy of the results obtained using the Boltzmann equation and ways to optimize computational resources. As a result, the possibility of mass, momentum, energy flows on the boundary surface is allowed and a sequential transition is made from macroscopic boundary conditions for the Boltzmann equation to macroscopic boundary conditions for the moment equation.