Response maxima in time-modulated turbulence: Direct numerical simulations

A. K Kuczaj, B. J Geurts, D Lohse
2006 Europhysics letters  
The response of turbulent flow to time-modulated forcing is studied by direct numerical simulations of the Navier-Stokes equations. The large-scale forcing is modulated via periodic energy input variations at frequency ω. The response is maximal for frequencies in the range of the inverse of the large eddy turnover time, confirming the mean-field predictions of von der Heydt, Grossmann and Lohse (Phys. Rev. E 67, 046308 (2003)). In accordance with the theory the response maximum shows only a
more » ... ll dependence on the Reynolds number and is also quite insensitive to the particular flow-quantity that is monitored, e.g., kinetic energy, dissipation-rate, or Taylor-Reynolds number. At sufficiently high frequencies the amplitude of the kinetic energy response decreases as 1/ω. For frequencies beyond the range of maximal response, a significant change in phase-shift relative to the time-modulated forcing is observed.
doi:10.1209/epl/i2005-10486-2 fatcat:nfy5fvle6rh2hkzini4c5muqxq