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Beyond one-point turbulence closures

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Języki publikacji
EN
Abstrakty
EN
The paper concerns statistical description of turbulence in terms of multipoint velocity moments. A literature survey on possible multipoint turbulence closures and their future perspective is provided. We first consider the transport equations for two-point velocity statistics and their one-point limit. Another form of turbulence description, in terms of multipoint probability density functions is also introduced.
Rocznik
Tom
Strony
29--40
Opis fizyczny
Bibliogr. 21 poz.
Twórcy
  • Institute of Geophysics, Faculty of Physics, Warsaw University, Pasteura 7, 02-093 Warsaw, Poland
Bibliografia
  • [1] Chollet J.-P., Lesiuer M.: Parametrisation of small-scales of three-dimensional isotropic turbulence utilizing spectral closures J. Atmosph. Sci. 38(1981), 2747–2757.
  • [2] Dreeben T.D., Pope S.B.: Probability density function and Reynolds-stress modeling of near-wall turbulent flows. Phys. Fluids 9(1997), 154–163.
  • [3] Friedrich R., Peinke J.: Description of a turbulent cascade by a Fokker-Planck equation Phys. Rev. Lett. 78(1997), 5, 863–866.
  • [4] Fox R.O.: Computational Models for Turbulent Reacting Flows, Cambridge Series in Chemical Engineering, CUP, Cambridge 2003.
  • [5] Keller L. and Friedmann A.: Differentialgleichungen für die turbulente Bewegung einer kompressiblen Flüssigkeit. In: 1st Intern. Congr. Appl. Mech. Delft 1924, 395–405.
  • [6] Kraichnan R.: An almost-Markovian Galilean-invariant turbulence model. J. Fluid Mech. 47(1971), 3, 513–524.
  • [7] Laporta A., Bertoglio J.P.: A model for inhomogeneous turbulence based on two-point correlations. In: Advances in Turbulence V, (R. Benzi, Ed.), Springer Science+Business Media, Dordrecht 1995.
  • [8] Launder B.E., Reece G.J., Rodi W.: Progress in the development of a Reynolds-stress turbulence closure. J. Fluid Mech. 68(1975), 3, 537–566.
  • [9] T. S. Lundgren: Distribution functions in the statistical theory of turbulence. Phys. Fluids 10(1967), 969–975.
  • [10] Minier J.-P., Pozorski J.: Derivation of a PDF model for turbulent flows based on principles from statistical physics. Phys. Fluids 9(1997), 6, 1748.
  • [11] Oberlack M.: Non-isotropic dissipation in non-homogeneous turbulence. J. Fluid Mech. 350(1997), 351–374.
  • [12] Oberlack, M., Rosteck, A.: New statistical symmetries of the multi-point equations and its importance for turbulent scaling laws. Discrete Contin. Dyn. Syst., S 3(2010), 3, 451–471.
  • [13] Oberlack, M., Wacławczyk M., Rosteck A., Avsarkisov V.: Symmetries and their importance for statistical turbulence theory. Mech. Eng. Rev. 2(2015), 2, 15-00157.
  • [14] Orszag S. A.: Analytical theories of turbulence, J. Fluid Mech. 41(1970), 2, 363–386.
  • [15] Pope S.B.: Turbulent Flows. CUP, Cambridge 2000.
  • [16] Touil H., Bertoglio J.P., Parpais S.: A spectral closure applied to anisotropic inhomogeneous turbulence In: Proc. 8th ETC Euromech, Barcelona 2000.
  • [17] Stresing R., Peinke J.: Towards a stochastic multi-point description of turbulence. New J. Phys. 12(2010), 10, 103046.
  • [18] Stresing R., Kleinhans D., Friedrich R., Peinke J.: Different methods to estimate the Einstein-Markov coherence length in turbulence. Phys. Rev. E 83(2011), 046319.
  • [19] Speziale, C.G., Sarkar, S., Gatski T.B.: Modeling the pressure-strain correlation of turbulence: an invariant dynamical systems approach. J. Fluid Mech. 227(1991), 245–272.
  • [20] Wacławczyk M., Nicola S., Oberlack M., Rosteck A., Wilczek M., Friedrich R.: Statistical symmetries of the Lundgren-Monin-Novikov hierarchy. Phys. Rev. E 90(2014), 1, 013022.
  • [21] Zakrzewski W.: On proper closures for modeling of turbulent combustion. Trans. Inst. Fluid-Flow Mach. 124(2012), 81–91.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-cbdd4bee-7670-4178-a688-a443ffa18955
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