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.

References in corpus (3)

• The Statistics of Supersonic Isothermal Turbulence
• Multifractal statistics of Lagrangian velocity and acceleration in turbulence
• A Parallel Mesh-Adaptive Framework for Hyperbolic Conservation Laws

Cited by in corpus (2)

• The Density Probability Distribution in Compressible Isothermal Turbulence: Solenoidal versus Compressive Forcing
• On the probability distribution function of the mass surface density of molecular clouds. II