Hidden scale invariance of turbulence in a shell model: From forcing to dissipation scales
Alexei A. Mailybaev
Abstract
We describe a hidden scaling symmetry in developed turbulence which is restored in the inertial interval and, as a consequence, substantiates basic properties of intermittency, such as anomalous scaling. In this work we focus on how this symmetry gets broken in the forcing and dissipation ranges. The study is based on a shell model.
Topics & Concepts
IntermittencyForcing (mathematics)TurbulenceScalingDissipationSymmetry (geometry)PhysicsStatistical physicsScale invarianceInertial frame of referenceScale (ratio)Classical mechanicsShell (structure)K-omega turbulence modelK-epsilon turbulence modelMechanicsMathematicsGeometryQuantum mechanicsAtmospheric sciencesEngineeringCivil engineeringFluid Dynamics and Turbulent FlowsMeteorological Phenomena and SimulationsClimate variability and models