Damping Functions correct over-dissipation of the Smagorinsky Model

作者：Pakzad Ali^*

来源：Mathematical Methods in the Applied Sciences, 2017, 40(16): 5933-5945.

DOI：10.1002/mma.4444

• fluid mechanics
• Smagorinsky model
• over-dissipation
• damping function
• turbulence

This paper studies the time-averaged energy dissipation rate <epsilon(SMD)(u)> for the combination of the Smagorinsky model and damping function. The Smagorinsky model is well known to over-damp. One common correction is to include damping functions that reduce the effects of model viscosity near walls. Mathematical analysis is given here that allows evaluation of <epsilon(SMD)(u)> for any damping function. Moreover, the analysis motivates a modified van Driest damping. It is proven that the combination of the Smagorinsky with this modified damping function does not over-dissipate and is also consistent with Kolmogorov phenomenology.

• 出版日期2017-11-15