Abstract
How the distance between two fluid particles advected by a turbulent flow evolves in time is one of the fundamental questions in turbulence research. The final goal of this two-particle dispersion problem is to describe the probability density function (PDF) of the dispersion P(r, t), which gives probability to have a pair of particles whose relative distance is r at time t. L.F. Richardson made the first attempt to phenomenologically derive an equation of P(r, t)
where d is the spatial dimension and the diffusion coefficient is given by the inertial range scaling as \(K(r) \propto \epsilon^{1/3}r^{4/3}\) with the energy dissipation rate \(\epsilon\).
Keywords
- Probability Density Function
- Probability Density Function
- Direct Numerical Simulation
- Exit Time
- Energy Dissipation Rate
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
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T.Ogasawara and S.Toh, J. Phys. Soc. Japan 75 083401 (2006); J. Phys. Soc. Japan 75 104402 (2006).
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MIZUTA, A., TOH, S., MATSUMOTO, T. (2009). Two-particle dispersion in 2D inverse cascade turbulence and its telegraph equation model. In: Eckhardt, B. (eds) Advances in Turbulence XII. Springer Proceedings in Physics, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03085-7_11
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DOI: https://doi.org/10.1007/978-3-642-03085-7_11
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