Kinematics of Homogeneous Turbulence

Abstract

From a mathematical standpoint, the velocity field u(x, t) will be assumed to be a random function defined on a sample space (see e.g. [56]). One can imagine for instance that we record the longitudinal air velocity at a given location in a wind tunnel: if the experiment is repeated N times in the same conditions, one obtains N realizations of the volecity evolution, each of them corresponding to a point in the sample space. For instance Figure 1 represents four recordings of the u′ velocity fluctuations obtained in such an experiment.