Scale by scale energy budget in the near wake of a square cylinder

Abstract eng:
We study the energy cascade downstream of, but close to, a square cylinder Re = 3900 using two-point statistics, by means of DNS. Shortly after the mean recirculation region the turbulent energy spectrum exhibits a near −5/3 slope in the frequency domain. Our DNS analysis of the general K´arm´an-Howarth-Monin equation show that the production, transport, advection and fluctuating pressure terms cannot be neglected as they are in the Richardson-Kolmogorov equilibrium theory. Even so, the term which is interpreted as an interscale energy flux divergence in the case of homogeneous turbulence is close to −! over a significant range of small scales, where ! is the turbulence dissipation rate.

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