Abstract
The main thrust of this work is developing the basis for a mixed formulation of turbulence modeling, combining analytical theories and engineering modeling, which includes second order two-point correlations of velocity and pressure. Related issues such as the different outcomes that stem from differently chosen sets of ensemble averaging, the approximate nature and the advantages and disadvantages of such a formulation, and the choices of closure schemes are addressed.
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References
Batchelor, G.K. (1982). The Theory of Homogeneous Turbulence. Cambridge University Press, Cambridge.
Carbone, F. and Aubry, N. (1996). Hierachical order in wall-bounded shear turbulence. Phys. Fluids, A8:1061–1074.
Ferziger, J.H. (1985). Large eddy simulation: its role in turbulence research. In Theoretical Approaches to Turbulence. (D. L. Dwoyer, M. Y. Hussaini, and R. G. Voigt, eds.) Springer-Verlag, New York.
Ferziger, J.H. (1996). Large eddy simulation. In Simulation and Modeling of Turbulent Flows. (T. B. Gatski, M. Y. Hussaini, and J. L. Launder, eds.) pp. 109–154. Oxford University Press, Oxford.
Frisch, U. (1995). Turbulence: the legacy of A. N. Kolmogorov. Cambridge University Press, New York.
Hinze, J.O. (1995). Turbulence. McGraw-Hill, New York.
Launder, B.E. (1996). An introduction to single-point closure methodology. In Simulation and Modeling of Turbulent Flows. (T.B. Gatski, M.Y. Hussaini, and J.L. Launder, eds.) pp. 243–310. Oxford University Press, Oxford.
Lesieur, M. (1987). Turbulence in Fluids. Martinus Nijhoff Publishers, Boston.
Monin, A.S. and Yaglom, A.M. (1971). Statistical Fluid Mechanics: Mechanics of Turbulence, 1. MIT Press, Cambridge, Mass.
Ogura, Y. (1963). A consequence of the zero fourth cumulant approximation in the decay of isotropic turbulence. J. Fluid Mech., 16:33–40.
Orszag, S.A. (1970). Analytical theories of turbulence. J. Fluid Mech., 41:363–386.
Proudman, I. and Reid, W.H. (1954). On the decay of a normally distributed and homogeneous turbulent velocity field. Philos. Trans. Roy. Soc. London Ser. A., A267:163–189.
Rodi, W. (1980). Turbulence Models and Their Application in Hydraulics — A State of the Art Review. International Association for Hydraulic Research, Delft, the Netherlands.
Schumann, U. (1977). Realizability of Reynolds stress turbulence models. Phys. Fluids, 20:721–725.
Sedov, L.I. (1972). A Course in Continuum Mechanics, Vol. II. Wolters-Noordhoff Publishing Groningen, the Netherlands.
Smagorinsky, J. (1963). General circulation experiments with the primitive equations: Part I, the basic experiment. Monthly Weather Rev., 91:99–164.
Tatsumi, T. (1980). Theory of homogeneous turbulence. Adv. Appl. Mech., 20:39–133.
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Chen, G.Q., Rajagopal, K.R., Tao, L. (2002). A Note on Turbulence Modeling. In: Sequeira, A., da Veiga, H.B., Videman, J.H. (eds) Applied Nonlinear Analysis. Springer, Boston, MA. https://doi.org/10.1007/0-306-47096-9_2
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DOI: https://doi.org/10.1007/0-306-47096-9_2
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