Abstract
A turbulence model for incompressible fluids is derived from kinetic theory. The kinetic model involves a relaxation time type collision operator which describes the relaxation of the probability distribution function (pdf) towards an isotropic pdf on a time scaleT.The dependence ofTupon the kinetic turbulent energy can be tuned in such a way that both the so called “viscous subrange” (dominated by molecular viscosity) and the “inertial range” (obeying the Kolmogorov law) can be described.
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Degond, P., Lemou, M. (2001). Towards a Kinetic Model of Turbulent Incompressible Fluids. In: Freistühler, H., Warnecke, G. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 140. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8370-2_31
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DOI: https://doi.org/10.1007/978-3-0348-8370-2_31
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