Abstract
In this paper we compare Lagrangian statistical quantities in the direct energy cascade of three-dimensional turbulence and the corresponding observables for the case of the inverse energy cascade in two dimensions. We focus on the acceleration of a tracer particle along its trajectory. Interpreting the acceleration as a stochastic process we show that for both systems the Markov time scale, which is an indicator for the length of the memory of a stochastic process, is in the order of magnitude of the Lagrangian integral time scale.
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References
Boffetta, G., Celani, A., Vergassola, M.: Inverse energy cascade in two-dimensional turbulence: Deviations from Gaussian behavior. Phys. Rev. E 61, R29–R32 (2000)
Kamps, O., Friedrich, R.: Lagrangian statistics in forced two-dimensional turbulence. Phys. Rev. E 78, 036321 (2008)
Wilczek, M., Friedrich, R.: Dynamical origins for non-Gaussian vorticity distributions in turbulent flows. Phys. Rev. E 80, 016316 (2009)
Friedrich, R., Peinke, J.: Description of a Turbulent Cascade by a Fokker-Planck Equation. Phys. Rev. Lett. 78, 863–866 (1997)
Sawford, B.L.: Reynolds number effects in Lagrangian stochastic models of turbulent dispersion. Physics of Fluids A: Fluid Dynamics 3, 1577–1586 (1991)
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© 2012 Springer-Verlag Berlin Heidelberg
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Kamps, O., Wilczek, M., Friedrich, R. (2012). Lagrangian Acceleration Statistics in 2D and 3D Turbulence. In: Oberlack, M., Peinke, J., Talamelli, A., Castillo, L., Hölling, M. (eds) Progress in Turbulence and Wind Energy IV. Springer Proceedings in Physics, vol 141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28968-2_14
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DOI: https://doi.org/10.1007/978-3-642-28968-2_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28967-5
Online ISBN: 978-3-642-28968-2
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