Turbulence (Q2708429)

The author gives an overview of relatively simple turbulence flows, with emphasis on essential ideas how to characterize the turbulence, how to measure it, and how to simulate it numerically. As the author writes himself, ``the intended message is that turbulence is not a ``mystery'', but a complex physical phenomenon whose fundamental mechanisms are well understood, at least in the incompressible limit, and with the possible exception of wall-bounded flows''. Being restricted mainiy to constant-density flows at high Reynolds numbers, the review contains the following parts: 1. Introduction; 2. The small scales and the energy cascade (spectra, the statistical nature of turbulence); 3. Inhomogeneity and anisotropy (energy equation); 4. Intermittency (pseudodynamics, multiplicative processes, structures); 5. Free-shear flows (linear stability of shear flows, nonlinear development and reduced models, mixing and control); 6. Wall-bounded flows (flow structures); 7. Computing turbulence (direct numerical simulations, large eddy simulations, Reynolds-averaged Navier-Stokes simulations); 8 Conclusions.NEWLINENEWLINEFor the entire collection see [Zbl 0952.00020].