A simple and stable scale-similarity model for large Eddy simulation: Energy balance and existence of weak solutions |
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Authors: | W Layton R Lewandowski |
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Institution: | Math Department, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A.;IRMAR, UMR CNRS 6625, Université Rennes 1 Campus Beaulieu, 35000, Rennes, France |
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Abstract: | In averaging the Navier-Stokes equations, the problem of closure arises. Scale-similarity models address closure by (roughly speaking) extrapolation from the (known) resolved scales to the (unknown) unresolved scales. In a posteriori tests, scale-similarity models are often the most accurate but can prove to be unstable when used in a numerical simulation. In this report, we consider the scale-similarity model given by . We prove it is stable (solutions satisfy an energy inequality) and deduce from that the existence of weak solutions of the model. |
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Keywords: | Large eddy simulation Scale similarity Turbulence Energy inequality Weak solution |
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