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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2025 Volume 37, Number 2, Pages 170–184 (Mi mm4605)

Using a kinetic model to find the pulsation moments of a turbulent flow

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

Keldysh Institute of Applied Mathematics of the RAS

Abstract: The equations for pulsation moments arising in the simulation of turbulent flows are derived on the basis of a kinetic model previously successfully used to obtain a quasi-gas dynamic system of equations. The construction of a mathematical model is presented for a two-dimensional flow of a weakly compressible gas. At the same time, tuning parameters are not actually used to obtain a closed system describing the turbulent flow as a whole. Calculations of turbulent flows in a flat channel and a mixing layer are given as an example.

Keywords: quasi-gas dynamic system of equations, turbulent flow, closures of the system of averaged equations, turbulent mixing layer, turbulent flow in the channel.

Received: 09.09.2024
Revised: 09.09.2024
Accepted: 14.10.2024

DOI: 10.20948/mm-2025-02-13



© Steklov Math. Inst. of RAS, 2025