Cascade of circulicity in compressible turbulence
arXiv:2207.03761 · doi:10.1103/PhysRevFluids.7.124604
Abstract
The purpose of this work is to investigate whether a cascading process can be associated with the rotational motions of compressible three-dimensional turbulence. This question is examined through the lens of circulicity, a concept related to the angular momentum carried by large turbulent scales. By deriving a Monin-Yaglom relation for circulicity, we show that an ``effective'' cascade of this quantity exists, provided the flow is stirred with a force having a solenoidal component. This outcome is obtained independently from the expression of the equation of state. To supplement these results, a coarse-graining analysis of the flow is performed. This approach allows to separate the contributions of the transfer and production terms of circulicity and to discuss their respective effects in the inertial range.
References in corpus (29)
- Comparing the statistics of interstellar turbulence in simulations and observations: Solenoidal versus compressive turbulence forcing
- Cascades and transitions in turbulent flows
- On the universality of supersonic turbulence
- Numerical simulations of compressively driven interstellar turbulence: I. Isothermal gas
- Exact relation for correlation functions in compressible isothermal turbulence
- Scale decomposition in compressible turbulence
- Compressible Turbulence: The Cascade and its Locality
- The sonic scale revealed by the world's largest supersonic turbulence simulation
- Exact Relation with Two-point Correlation Functions and Phenomenological Approach for Compressible Magnetohydrodynamic Turbulence
- Is the Scaling of Supersonic Turbulence Universal?
- The conservative cascade of kinetic energy in compressible turbulence
- Energy cascade and scaling in supersonic isothermal turbulence
- Energy cascade rate measured in a collisionless space plasma with MMS data and compressible Hall magnetohydrodynamic turbulence theory
- New relations for correlation functions in Navier-Stokes turbulence
- Cascades and Dissipative Anomalies in Compressible Fluid Turbulence
- An Onsager Singularity Theorem for Turbulent Solutions of Compressible Euler Equations
- Universality and scaling in compressible turbulence
- A Kolmogorov-Like Exact Relation for Compressible Polytropic Turbulence
- Energy cascade rate in isothermal compressible magnetohydrodynamic turbulence
- Energy transfer in compressible magnetohydrodynamic turbulence for isothermal self-gravitating fluids
- Flux Correlations in Supersonic Isothermal Turbulence
- Compressible turbulence in the interstellar medium: New insights from a high-resolution supersonic turbulence simulation
- 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
- Solenoidal scaling laws for compressible mixing
- Self-similar hierarchy of coherent tubular vortices in turbulence
- A note on acoustic turbulence
- Chapman-Enskog derivation of multicomponent Navier-Stokes equations
- Permanence of large eddies in variable-density homogeneous turbulence with small Mach numbers