Turbulent pair dispersion as a continuous-time random walk
The phenomenology of turbulent relative dispersion is revisited. A heuristic scenario is proposed, in which pairs of tracers undergo a succession of independent ballistic separations during time intervals whose lengths fluctuate. This approach suggests that the logarithm of the distance between trac...
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| Veröffentlicht in: | Journal of fluid mechanics 2014-09, Vol.755, p.np-np, Article R4 |
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| container_title | Journal of fluid mechanics |
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| creator | Thalabard, Simon Krstulovic, Giorgio Bec, Jérémie |
| description | The phenomenology of turbulent relative dispersion is revisited. A heuristic scenario is proposed, in which pairs of tracers undergo a succession of independent ballistic separations during time intervals whose lengths fluctuate. This approach suggests that the logarithm of the distance between tracers self-averages and performs a continuous-time random walk. This leads to specific predictions for the probability distribution of separations, which differ from those obtained using scale-dependent eddy-diffusivity models (e.g. in the framework of Richardson’s approach). These predictions are tested against high-resolution simulations and shed new light on the explosive separation between tracers. |
| doi_str_mv | 10.1017/jfm.2014.445 |
| format | Article |
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A heuristic scenario is proposed, in which pairs of tracers undergo a succession of independent ballistic separations during time intervals whose lengths fluctuate. This approach suggests that the logarithm of the distance between tracers self-averages and performs a continuous-time random walk. This leads to specific predictions for the probability distribution of separations, which differ from those obtained using scale-dependent eddy-diffusivity models (e.g. in the framework of Richardson’s approach). 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Fluid Mech</addtitle><date>2014-09-25</date><risdate>2014</risdate><volume>755</volume><spage>np</spage><epage>np</epage><pages>np-np</pages><artnum>R4</artnum><issn>0022-1120</issn><eissn>1469-7645</eissn><abstract>The phenomenology of turbulent relative dispersion is revisited. A heuristic scenario is proposed, in which pairs of tracers undergo a succession of independent ballistic separations during time intervals whose lengths fluctuate. This approach suggests that the logarithm of the distance between tracers self-averages and performs a continuous-time random walk. This leads to specific predictions for the probability distribution of separations, which differ from those obtained using scale-dependent eddy-diffusivity models (e.g. in the framework of Richardson’s approach). 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| source | Cambridge Journals |
| subjects | Dispersion Dispersions Fluid flow Fluid mechanics Mathematical models Mechanics Physics Probability distribution Random walk Random walk theory Rapids Separation Tracers Turbulence Turbulent flow |
| title | Turbulent pair dispersion as a continuous-time random walk |
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