Abstract:
A new model, namely the averaged quasi-hydrodynamic system of equations describing small-scale turbulence, has been proposed. In order to approve the model in case of plane geometry, the problem on flow around a square cylinder has been considered. For this case the conservative finite-difference schemes on Cartesian mesh and the algorithms of their numerical implementation has been developed. In the numerical experiments it has been demonstrated that the model describes turbulent flow both in quality and in quantity. The results obtained well correspond to the results of other authors and to the physical experiments.
Citation:
I. A. Ivakhnenko, S. V. Polyakov, B. N. Chetverushkin, “Quasi-hydrodynamic model and small scale turbulence”, Mat. Model., 20:2 (2008), 13–20; Math. Models Comput. Simul., 1:1 (2009), 44–50
This publication is cited in the following 10 articles:
B. N. Chetverushkin, A. E. Lutskii, E. V. Shilnikov, “Ispolzovanie kineticheskoi modeli dlya nakhozhdeniya pulsatsionnykh momentov turbulentnogo techeniya”, Matem. modelirovanie, 37:2 (2025), 170–184
B. N. Chetverushkin, A. E. Lutsky, E. V. Shilnikov, “Description of Turbulent Flows Using a Kinetic Model”, Dokl. Math., 109:2 (2024), 140
B. N. Chetverushkin, A. E. Lutsky, E. V. Shilnikov, “ABOUT ONE MODEL FOR DESCRIBING TURBULENT FLOWS”, Differencialʹnye uravneniâ, 60:7 (2024)
B. N. Chetverushkin, A. E. Lutsky, E. V. Shilnikov, “A Model for Describing Turbulent Flows”, Diff Equat, 60:7 (2024), 976
A. E. Lutsky, A. V. Severin, Ya. V. Khankhasaeva, “Calculation of high-speed flows based on a hyperbolic quasi-gas dynamic system”, Math. Models Comput. Simul., 14:5 (2022), 700–709
B. N. Chetverushkin, V. E. Borisov, A. A. Davydov, A. E. Lutsky, Ya. V. Khankhasaeva, “Numerical simulation of heat flux around a ballistic model based on the hyperbolic quasi-gasdynamic system of equations”, Math. Models Comput. Simul., 13:5 (2021), 844–852
Borisov V.E. Chetverushkin B.N. Davydov A.A. Khankhasaeva V Ya. Lutskii A.E., “Heat Flux in Supersonic Flow Past Ballistic Model At Various Angles of Attack and Wall Temperatures”, Acta Astronaut., 183 (2021), 52–58
A. E. Lutsky, B. N. Chetverushkin, “Limits for detailed description of problems in continuous media mechanics and numerical algorithm for viscous gas flow simulation”, Dokl. Math., 102:1 (2020), 309–312
A. I. Aptekarev, A. L. Afendikov, V. M. Buchstaber, S. K. Godunov, A. B. Zhizhchenko, V. V. Kozlov, A. I. Maslov, V. P. Platonov, V. F. Tishkin, L. D. Faddeev, “Boris Nikolaevich Chetverushkin (on his 70th birthday)”, Russian Math. Surveys, 69:2 (2014), 387–392
S. V. Bogomolov, L. W. Dorodnitsyn, “Stochastic quasi gas dynamics equations. Viscous gas case”, Math. Models Comput. Simul., 3:4 (2011), 457–467
Citation in format AMSBIB
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