Abstract
The MIS approach is an attempt to mimic the physics in order to obtain a dissipation equation. An a priori family of energy spectrum shapes is assumed and the evolution of the dissipation rate is deduced from the evolution of the energy spectrum. This method brings into evidence new time scales which are not accounted for in standard models. With these new time scales, the model is able to predict the evolution of homogeneous turbulence without tuning any constant with respect to experiment. Rotation and low-Reynolds-number effects can be introduced in the model. Further work is however needed to improve the simple linear model used to study the behaviour of the very large eddies and to extend the method to inhomogeneous flows.
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Aupoix, B., Cousteix, J., Liandrat, J. (1989). MIS: A Way to Derive the Dissipation Equation. In: André, JC., Cousteix, J., Durst, F., Launder, B.E., Schmidt, F.W., Whitelaw, J.H. (eds) Turbulent Shear Flows 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73948-4_2
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DOI: https://doi.org/10.1007/978-3-642-73948-4_2
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