Authors: Max Gunzburger Eunjung Lee Yuki Saka Catalin Trenchea Xiaoming Wang
Publish Date: 2009/11/12
Volume: 45, Issue: 1-3, Pages: 294-332
Abstract
Fluid turbulence is commonly modeled by the NavierStokes equations with a large Reynolds number However direct numerical simulations are not possible in practice so that turbulence modeling is introduced We study artificial spectral viscosity models that render the simulation of turbulence tractable We show that the models are well posed and have solutions that converge in certain parameter limits to solutions of the NavierStokes equations We also show using the mathematical analyses how effective choices for the parameters appearing in the models can be made Finally we consider temporal discretizations of the models and investigate their stability
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