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arXiv · 0707.1798

Density-PDFs and Lagrangian Statistics of highly compressible Turbulence

Christoph Beetz·Christian Schwarz·Jürgen Dreher·Rainer Grauer
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Abstract

We report on probability-density-functions (PDF) of the mass density in numerical simulations of highly compressible hydrodynamic flows and the corresponding structure formation of Lagrangian particles advected by the flows. Numerical simulations were performed with $512^3$ collocation points and 2 million tracer particles integrated over several dynamical times. We propose a connection between the PDF of the Lagrangian tracer particles and the predicted log-normal distribution of the density fluctuations in isothermal systems.

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Christoph Beetz, Christian Schwarz, Jürgen Dreher, Rainer Grauer. 2007-07-12. Density-PDFs and Lagrangian Statistics of highly compressible Turbulence. https://doi.org/10.1016/j.physleta.2008.01.009

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