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Proposing Institution

HU Berlin
Project Manager

Dr. Michael Wilczek
Wilhelm-Klemm-Str. 9
48149 Münster
We will study statistics of fully developed hydrodynamic turbulence by means of highly resolved direct numerical simulations. To this end we apply a massively parallel, highly scalable pseudospectral code, solving the Navier-Stokes equation in the vorticity formulation on a triply periodic domain.While theoretical research in the past decades mainly focused on statistical quantities involving one or two spatial points, we will now attack the problem of joint and conditional multi-point statistics in order to gain a deeper understanding of structural and statistical properties of turbulence. The statistical quantities under consideration are embedded in a thorough theoretical framework derived directly from the Navier-Stokes equations. Hence our results will also give hints on proper statistical closures for a probabilistic description of turbulent flows.In the theoretical framework under consideration conditional statistics of the acceleration play a key role. As large absolute values of the local acceleration field can be related to strong filamentary vortex tubes, we will study these structures from a dynamical point of view.In order to achieve a sufficient convergence of the high-order statistics, long simulation durations and the acquisition of a considerable amount of data are needed, definitely longing for the infrastructure of modern supercomputers.

Impressum, Conny Wendler