Density-PDFs and Lagrangian Statistics of highly compressible Turbulence

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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• The density variance -- Mach number relation in supersonic, isothermal turbulence
• The Two States of Star Forming Clouds
• A comparison between grid and particle methods on the statistics of driven, supersonic, isothermal turbulence
• Algorithmic comparisons of decaying, isothermal, supersonic turbulence
• The Column Density Variance-Sonic Mach Number Relationship
• Mass and Magnetic distributions in Self Gravitating Super Alfvenic Turbulence with AMR
• Time-irreversibility of the statistics of a single particle in a compressible turbulence
• The Column Density Variance in Turbulent Interstellar Media: A Fractal Model Approach
• On the probability distribution function of the mass surface density of molecular clouds. II
• Does the HCN/CO ratio trace the star-forming fraction of gas? II. Variations in CO and HCN Emissivity