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Vorticity statistics in fully developed turbulence

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Wilczek,  Michael
Max Planck Research Group Theory of Turbulent Flows, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Wilczek, M., Daitche, A., & Friedrich, R. (2010). Vorticity statistics in fully developed turbulence. In S. Wagner, M. Steinmetz, A. Bode, & M. Muller (Eds.), High Performance Computing in Science and Engineering (pp. 109-120). Berlin: Springer-Verlag.


Cite as: https://hdl.handle.net/21.11116/0000-0003-E0A4-6
Abstract
We study the statistical properties of fully developed hydrodynamical
turbulence. To this end, a theoretical framework is established relating
basic dynamical features of fluid flows to the shape and evolution of
probability density functions of, for example, the vorticity. Starting
from the basic equations of motion, the theory involves terms, which
presently cannot be calculated from first principles. This missing
information is taken from direct numerical simulations. A parallel
pseudospectral code is used to to obtain well-resolved numerical
simulations of homogeneous isotropic turbulence. The results yield a
consistent description of the vorticity statistics and provide insights
into the structure and dynamics of fully developed turbulence.