Transition to dilatation-dominated isothermal compressible turbulence

Abstract

The kinetic energy dissipation rate is of central importance for small-scale statistics in turbulent flows. Here, we report a transition to the dilatation-dominated regime of three-dimensional isothermal fully compressible, homogeneous, isotropic turbulence by moments of energy dissipation and its components up to order~4 for root-mean-square (rms) Mach numbers $0.1\le M_{\mathrm{rms}}\le 10$ and for Reynolds numbers $100\le Re\le 2400$. Our high-resolution numerical simulations show a crossover from incompressible to $M_{\mathrm{rms}}$--independent, Burgers turbulence-like scaling of energy dissipation rate moments with respect to Reynolds number $Re$. This confirms the statistical dominance of shocks for rms Mach numbers $M_{\mathrm{rms}}\gtrsim 1$.

13 pages and 9 figures

References in corpus (31)

• Comparing the statistics of interstellar turbulence in simulations and observations: Solenoidal versus compressive turbulence forcing
• The Statistics of Supersonic Isothermal Turbulence
• On the universality of supersonic turbulence
• Mach Number Dependence of Turbulent Magnetic Field Amplification: Solenoidal versus Compressive Flows
• Exact relation for correlation functions in compressible isothermal turbulence
• A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests
• Compressible Turbulence: The Cascade and its Locality
• The sonic scale revealed by the world's largest supersonic turbulence simulation
• Asymptotic Exponents from Low-Reynolds-Number Flows
• Extreme velocity gradients in turbulent flows
• Is the Scaling of Supersonic Turbulence Universal?
• Structure Function Scaling in Compressible Super-Alfvenic MHD Turbulence
• Sub-Kolmogorov-Scale Fluctuations in Fluid Turbulence
• Local and Nonlocal Strain Rate Fields and Vorticity Alignment in Turbulent Flows
• Energy cascade and scaling in supersonic isothermal turbulence
• Probability Densities in Strong Turbulence
• Cascades and Dissipative Anomalies in Compressible Fluid Turbulence
• Statistical properties of supersonic turbulence in the Lagrangian and Eulerian frameworks
• Universality and scaling in compressible turbulence
• Multiscale velocity correlations in turbulence
• Emergence of Multi-Scaling in a Random Force-Stirred Fluid
• Extreme vorticity growth in Navier-Stokes turbulence
• Dissipative Structures in Supersonic Turbulence
• Steep cliffs and saturated exponents in three dimensional scalar turbulence
• Multiscale velocity correlations in turbulence and Burgers turbulence: Fusion rules, Markov processes in scale, and multifractal predictions
• Solenoidal scaling laws for compressible mixing
• A finite-volume scheme for modeling compressible magnetohydrodynamic flows at low Mach numbers in stellar interiors
• Numerical viscosity and resistivity in MHD turbulence simulations
• Transition to turbulence scaling in Rayleigh-Bénard convection
• Turbulent mesoscale convection in the Boussinesq limit and beyond
• Twisting vortex lines regularize Navier-Stokes turbulence