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