Most environmental and industrial flows are turbulent. The efficient modeling of such flows depends on the understanding of the turbulent cascade, i.e., the transfer of kinetic energy between different length scales. This colloquium focuses on the universal features of the turbulent cascade in a wide range of flows, and in the presence of different types of external forces. In 1941, Kolmogorov proposed a theory that is justified only in the simplest of situations.

In particular, we will discuss turbulent cascades in multi-phase flows, superfluid-, and non-Newtonian flows. Flows in the presence of shear or unsteady forcing, or influenced by body-forces (Coriolis- and Lorentz-forces, buoyancy effects) and compressibility, or modulated through the finite size of solid particles, drops and bubbles, as well as through wavy structures of the gas/liquid interface and its surface tension, will all be considered.

The colloquium will take place from 5 to 7 December 2017 in the campus of the Ecole Centrale Lyon. This colloquium will bring together scientific experts from the weather-forecasting, applied mathematics, hydrodynamics and geophysics communities in order to progress together on the understanding and modeling of the common feature of all these flows: the turbulent cascade.

Note that a previous Colloquium about Turbulent Cascades was held in Lille in Decembre 2015: http://turbulence-cascades.ec-lille.fr/