A new approach to modelling near-wall turbulence energy and stress dissipation. (English) Zbl 1040.76028

Jakirlić, S.; Hanjalić, K.

J. Fluid Mech. 459, 139-166 (2002).

From the summary: A new model for the transport equation for the turbulence energy dissipation rate \(\varepsilon\) and for the anisotropy of the dissipation rate tensor \(\varepsilon_{ij}\), consistent with the near-wall limits, is derived following the term-by-term approach and using results of direct numerical simulations for several generic wall-bounded flows. Based on the two-point velocity covariance analysis and on reinterpretation of the viscous term, the transport equation is derived in terms of the ‘homogeneous’ part \(\varepsilon^h\) of the energy dissipation rate. The algebraic expression for the components of \(\varepsilon_{ij}\) is then reformulated in terms of \(\varepsilon^h\), which makes it possible to satisfy the exact wall limits without using any wall-configuration parameters.

MSC:

76F60	\(k\)-\(\varepsilon\) modeling in turbulence
76F25	Turbulent transport, mixing

Keywords:

transport equation; turbulence energy dissipation rate; direct numerical simulations; two-point velocity covariance analysis; viscous term