It is analytically shown that the dynamic two-parameter Clark model (DTCM) overcomes the inapplicability of the dynamic one-parameter Clark model to the large eddy simulation (LES) of incompressible turbulent channel flows by diminishing the negative effective viscosity in the viscous sublayer for the tensor diffusivity term that models the sum of the Leonard and the cross terms. The actual LES shows that the prediction of DTCM for the turbulent channel flows at Reτ = 590 is similar to that of the dynamic Smagorinsky model.
Applicability of the Dynamic Two-Parameter Clark Model to the LES of Incompressible Turbulent Channel Flows
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Shimomura, Y, & Kobayashi, H. "Applicability of the Dynamic Two-Parameter Clark Model to the LES of Incompressible Turbulent Channel Flows." Proceedings of the ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. Volume 2: Symposia, Parts A, B, and C. Honolulu, Hawaii, USA. July 6–10, 2003. pp. 2025-2031. ASME. https://doi.org/10.1115/FEDSM2003-45350
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