Analysis of Nonlinear Spectral Eddy-Viscosity Models of Turbulence

作者：Gunzburger Max^*; Lee Eunjung; Saka Yuki; Trenchea Catalin; Wang Xiaoming

来源：Journal of Scientific Computing, 2010, 45(1-3): 294-332.

DOI：10.1007/s10915-009-9335-8

• Navier-Stokes equations
• Turbulence
• Eddy-viscosity models
• Spectral methods

Fluid turbulence is commonly modeled by the Navier-Stokes 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 Navier-Stokes 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.

• 出版日期2010-10