Flux Correlations in Supersonic Isothermal Turbulence

Abstract

Using data from a large-scale three-dimensional simulation of supersonic isothermal turbulence, we have tested the validity of an exact flux relation derived analytically from the Navier--Stokes equation by Falkovich, Fouxon and Oz [2010 New relations for correlation functions in Navier--Stokes turbulence. J. Fluid Mech. 644, 465]. That relation, for compressible barotropic fluids, was derived assuming turbulence generated by a large-scale force. However, compressible turbulence in simulations is usually initialized and maintained by a large-scale acceleration, as in gravity-driven astrophysical flows. We present a new approximate flux relation for isothermal turbulence driven by a large-scale acceleration, and find it in reasonable agreement with the simulation results.

10 pages, 5 figures, accepted for publication in the Journal of Fluid Mechanics

References in corpus (15)

• Theory of Star Formation
• Interstellar Turbulence I: Observations and Processes
• The Statistics of Supersonic Isothermal Turbulence
• The Universality of Turbulence in Galactic Molecular Clouds
• Exact relation for correlation functions in compressible isothermal turbulence
• Compressible Turbulence: The Cascade and its Locality
• Comparing Numerical Methods for Isothermal Magnetized Supersonic Turbulence
• Is the Scaling of Supersonic Turbulence Universal?
• Algorithmic comparisons of decaying, isothermal, supersonic turbulence
• Intermittency and Universality in Fully-Developed Inviscid and Weakly-Compressible Turbulent Flows
• Astrophysical turbulence modeling
• The conservative cascade of kinetic energy in compressible turbulence
• New relations for correlation functions in Navier-Stokes turbulence
• Is Multiscaling an Artifact in the Stochastically Forced Burgers Equation?
• Dissipative Structures in Supersonic Turbulence

Cited by in corpus (18)

• Scale decomposition in compressible turbulence
• A supersonic turbulence origin of Larson's laws
• The structure of the thermally bistable and turbulent atomic gas in the local interstellar medium
• Physical Processes in Star Formation
• Energy cascade and scaling in supersonic isothermal turbulence
• MHD Turbulence
• Scaling Laws of Passive-Scalar Diffusion in the Interstellar Medium
• Cascades and Dissipative Anomalies in Compressible Fluid Turbulence
• A Kolmogorov-Like Exact Relation for Compressible Polytropic Turbulence
• Viscosity, pressure, and support of the gas in simulations of merging cool-core clusters
• Kinetic and internal energy transfer in implicit large eddy simulations of forced compressible turbulence
• Exact Time-Dependent Solution to the Three-Dimensional Euler- Helmholtz and Riemann-Hopf Equations for Vortex Flow of a Compressible Medium and the Sixth Millennium Prize Problem
• New type of anomaly in turbulence
• Multi-mode correlations and the entropy of turbulence
• Density and tracer statistics in compressible turbulence: phase transition to multifractality
• Scale-by-scale kinetic energy budgets in multiphase turbulence
• The contribution of dilatational motion to energy flux in homogeneous compressible turbulence
• Cascade of circulicity in compressible turbulence