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This article is cited in 16 scientific papers (total in 16 papers)
Application of moment equations to the mathematical simulation of gas microflows
I. E. Ivanova, I. A. Kryukovb, M. Yu. Timokhina a Faculty of Physics, Moscow State University, Moscow, 119992, Russia
b Institute for Problems of Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, Moscow, 119526, Russia
Abstract:
An approach to the simulation of moderately rarefied gas flows in a transition zone is developed. The applicability of the regularized Grad 13-moment (R13) equations to the numerical simulation of a transition flow between the continual and free-molecular gas flow regimes is explored. For the R13 equations, a numerical method is proposed that is a higher order accurate version of Godunov’s explicit method. A numerical procedure for implementing solid-wall boundary conditions is developed. One- and two-dimensional test problems are solved, including the shock wave structure and the Poiseuille flow in a plane channel. The possibility of applying the R13 equations to the simulation of plane channel and jet flows in a transition regime is explored. To this end, the flow in a square cavity generated by the motion of one of the walls is studied and the operation of the Knudsen pump is analyzed.
Key words:
Godunov's method, Grad's equations, method of moment equations, R13 equations, transition flow regime.
Received: 26.02.2013
Citation:
I. E. Ivanov, I. A. Kryukov, M. Yu. Timokhin, “Application of moment equations to the mathematical simulation of gas microflows”, Zh. Vychisl. Mat. Mat. Fiz., 53:10 (2013), 1721–1738; Comput. Math. Math. Phys., 53:10 (2013), 1534–1550
Linking options:
https://www.mathnet.ru/eng/zvmmf9935 https://www.mathnet.ru/eng/zvmmf/v53/i10/p1721
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