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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2024 Volume 516, Pages 51–58 (Mi danma512)

MATHEMATICS

Description of turbulent flows using a kinetic model

B. N. Chetverushkin, A. E. Lutsky, E. V. Shilnikov

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russia

Abstract: A closed system of equations for describing turbulent flows is obtained. Additional equations for the cross pulsation moments $\overline{\rho\Delta u_i\Delta u_k}$ are derived using a balanced kinetic equation, which was previously used to obtain a quasi-gasdynamic system of equations. Numerical results for the problem of a two-dimensional mixing layer between two flows are presented.

Keywords: quasi-gasdynamic system of equations, turbulent flow, closure of averaged equations system.

UDC: 519.6

Received: 21.02.2024
Revised: 01.04.2024
Accepted: 01.04.2024

DOI: 10.31857/S2686954324020086


 English version:
Doklady Mathematics, 2024, 109:2, 140–146

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© Steklov Math. Inst. of RAS, 2025