Vorticity Statistics in Fully Developed Turbulence

Michael Wilczek (), Anton Daitche and Rudolf Friedrich
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Michael Wilczek: University of Münster, Institute for Theoretical Physics
Anton Daitche: University of Münster, Institute for Theoretical Physics
Rudolf Friedrich: University of Münster, Institute for Theoretical Physics

A chapter in High Performance Computing in Science and Engineering, Garching/Munich 2009, 2010, pp 109-120 from Springer

Abstract: 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.

Keywords: Direct Numerical Simulation; Tracer Particle; Vorticity Equation; Conditional Average; Homogeneous Isotropic Turbulence (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-13872-0_10

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DOI: 10.1007/978-3-642-13872-0_10

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