Lagrangian PDF methods for turbulent flows. (English) Zbl 0802.76033

Annu. Rev. Fluid Mech. 26, 23-63 (1994).
After the introduction, in section 2 the relevant Eulerian and Lagrangian probability density functions (PDF) are presented, and the different PDF methods are categorized. Section 3 is devoted to the Langevin equation. This equation provides a simple stochastic model for the velocity of a fluid particle: It is also a building block for other stochastic models. The particle representation of a turbulent flow, which is fundamental to the Lagrangian PDF approach, is described in section 4. Then more recent and sophisticated stochastic models are reviewed in section 5.
For the entire collection see [Zbl 0791.00011].


76F10 Shear flows and turbulence
76F99 Turbulence
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics