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Analytical and numerical results for the Rational Large Eddy Simulation model. (English) Zbl 1151.76414

Summary: In this paper we analyze the Rational Large Eddy Simulation model. We start by introducing the system of partial differential equations we shall consider, together with its derivation. Then, we prove a result of full regularity for strong solutions in the space periodic setting. We also construct some exact solutions useful for the numerical benchmarking and finally we provide the results of some numerical experiments we performed.

MSC:

76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
35Q30 Navier-Stokes equations
76F65 Direct numerical and large eddy simulation of turbulence
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