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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2013 Volume 25, Number 1, Pages 18–32 (Mi mm3275)

Modeling decay isotropic turbulence based on les

U. S. Abdibekov, B. T. Zhumagulov, D. B. Zhakebaev, K. Zh. Zhubat

Al-Farabi Kazakh National University, Almaty, Kazakhstan

Abstract: The paper deals with the modeling of degeneration of isotropic turbulence. Simulation of a turbulent process is based on the filtered three-dimensional unsteady Navier–Stokes equations. For the closure of the main equation used viscous model. The problem is solved numerically, the equation of motion is solved by a modified method of fractional steps with compact scheme, the equation for pressure is solved by the Fourier method, in combination with a matrix factorization. The simulation obtained change of turbulent kinetic energy by time, micro-scale turbulence, change of longitudinal-transverse correlation functions, defined by longitudinal and transverse one-dimensional spectra.

Keywords: isotropic turbulence, Navier–Stokes equations, longitudinal-transverse correlation functions, microscale turbulence.

UDC: 519.6; 532.517.4

Received: 26.07.2011


 English version:
Mathematical Models and Computer Simulations, 2013, 5:4, 360–370

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