A Kolmogorov-Like Exact Relation for Compressible Polytropic Turbulence

Abstract

Compressible hydrodynamic turbulence is studied under the assumption of a polytropic closure. Following Kolmogorov, we derive an exact relation for some two-point correlation functions in the asymptotic limit of a high Reynolds number.

References in corpus (9)

• The Statistics of Supersonic Isothermal Turbulence
• On the universality of supersonic turbulence
• Numerical simulations of compressively driven interstellar turbulence: I. Isothermal gas
• Is the Scaling of Supersonic Turbulence Universal?
• On the von Karman-Howarth equations for Hall MHD flows
• Intermittency and Universality in Fully-Developed Inviscid and Weakly-Compressible Turbulent Flows
• Energy cascade and scaling in supersonic isothermal turbulence
• Flux Correlations in Supersonic Isothermal Turbulence
• A simplified numerical model of coronal energy dissipation based on reduced MHD

Cited by in corpus (30)

• Cascades and transitions in turbulent flows
• The density structure and star formation rate of non-isothermal polytropic turbulence
• Physical Processes in Star Formation
• Scaling of compressible magnetohydrodynamic turbulence in the fast solar wind
• MHD Turbulence
• Cascades and Dissipative Anomalies in Compressible Fluid Turbulence
• Alternative derivation of exact law for compressible and isothermal magnetohydrodynamics turbulence
• On exact laws in incompressible Hall magnetohydrodynamic turbulence
• Energy cascade rate in isothermal compressible magnetohydrodynamic turbulence
• Turbulence in stratified atmospheres: implications for the intracluster medium
• Energy transfer in compressible magnetohydrodynamic turbulence for isothermal self-gravitating fluids
• The evolution of compressible solar wind turbulence in the inner heliosphere: PSP, THEMIS and MAVEN observations
• Exact relations for energy transfer in self-gravitating isothermal turbulence
• General exact law of compressible isentropic magnetohydrodynamic flows: theory and spacecraft observations in the solar wind
• Subion Scale Turbulence Driven by Magnetic Reconnection
• Scale-to-scale energy transfer rate in compressible two-fluid plasma turbulence
• A Statistical Study of the Compressible Energy Cascade Rate in Solar Wind Turbulence: Parker Solar Probe Observations
• Exact law for compressible pressure-anisotropic magnetohydrodynamic turbulence: toward linking energy cascade and instabilities
• Scale dependence and cross-scale transfer of kinetic energy in compressible hydrodynamic turbulence at moderate Reynolds numbers
• Turbulent density fluctuations and proton heating rate in the solar wind from 9-20~R_{\odot}
• Statistics of incompressible hydrodynamic turbulence: an alternative approach
• An in-depth numerical study of exact laws for compressible Hall magnetohydrodynamic turbulence
• A lower bound on adiabatic heating of compressed turbulence for simulation and model validation
• Energy transfer in simple and active binary fluid turbulence {\bf {-}} a false friend of incompressible MHD turbulence
• Determination of energy flux rate in homogeneous ferrohydrodynamic turbulence using two-point statistics
• Observation of Turbulent Magnetohydrodynamic Cascade in the Jovian Magnetosheath
• Multiscale Turbulence Synthesis: Validation in 2D Hydrodynamics
• The contribution of dilatational motion to energy flux in homogeneous compressible turbulence
• Impact of pressure anisotropy on the cascade rate of Hall-MHD turbulence with biadiabatic ions
• Cascade of circulicity in compressible turbulence