Universality and scaling in homogeneous compressible turbulence
Diego A. Donzis, John Panickacheril John
Abstract
Universality concepts have played a pivotal role in the development of complex systems. This has not been the case in compressible turbulence as no unifying set of parameters has been found to yield universal scaling laws. An analysis supported with DNS databases and studies across the literature shows how universality can indeed be achieved in homogeneous compressible turbulence from specific limiting behavior, paving the way toward a more unified fundamental understanding of compressible turbulence and development of robust compressible turbulence models.
Topics & Concepts
Universality (dynamical systems)TurbulenceScalingCompressibilityHomogeneousStatistical physicsK-omega turbulence modelK-epsilon turbulence modelPhysicsLimitingClassical mechanicsCompressible flowTurbulence kinetic energyMathematicsHomogeneous isotropic turbulenceScaling lawTurbulence modelingTheoretical physicsRenormalization groupMechanicsFluid Dynamics and Turbulent FlowsCombustion and flame dynamicsComputational Fluid Dynamics and Aerodynamics