Effect of helicity and rotation on the free decay of turbulent flows

Abstract

The self-similar decay of energy in a turbulent flow is studied in direct numerical simulations with and without rotation. Two initial conditions are considered: one non-helical (mirror-symmetric), and one with maximal helicity. The results show that, while in the absence of rotation the energy in the helical and non-helical cases decays with the same rate, in rotating flows the helicity content has a major impact on the decay rate. These differences are associated with differences in the energy and helicity cascades when rotation is present. Properties of the structures that arise in the flow at late times in each time are also discussed.

4 pages, 4 figures

References in corpus (6)

• The Joint Cascade of Energy and Helicity in Three-Dimensional Turbulence
• Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers
• Large scale flow effects, energy transfer, and self-similarity on turbulence
• Helicity cascades in rotating turbulence
• Scaling and energy transfer in rotating turbulence
• The decay of homogeneous anisotropic turbulence

Cited by in corpus (25)

• Rotating helical turbulence. Part I. Global evolution and spectral behavior
• Statistical features of rapidly rotating decaying turbulence: enstrophy and energy spectra, and coherent structures
• Rotating Taylor-Green Flow
• Dual constant-flux energy cascades to both large scales and small scales
• Helicity dynamics in stratified turbulence in the absence of forcing
• Weak turbulence theory for rotating magnetohydrodynamics and planetary dynamos
• The decay of turbulence in rotating flows
• Dual channels of helicity cascade in turbulent flows
• Restricted Equilibrium and the Energy Cascade in Rotating and Stratified Flows
• Theory for helical turbulence under fast rotation
• A new eddy-viscosity model for large eddy simulation in helical turbulence
• Non-universal behaviour of helical two-dimensional three-component turbulence
• Life stages of wall-bounded decay of Taylor-Couette turbulence
• The decay of Batchelor and Saffman rotating turbulence
• Large scale effects on the decay of rotating helical and non-helical turbulence
• Self-similar decay of high Reynolds number Taylor-Couette turbulence
• Finite temperature effects in helical quantum turbulence
• Spectral imbalance in the inertial range dynamics of decaying rotating turbulence
• Dynamic Phase Alignment in Navier-Stokes Turbulence
• Topological Constraints in the Reconnection of Vortex Braids
• Rotating magnetohydrodynamic turbulence
• Where we observe that helical turbulence prevails over inertial waves in forced rotating flows at high Reynolds and low Rossby numbers
• A self-induced mechanism of large-scale helical structures in compressible turbulent flows
• Behavior of hydrodynamic and magnetohydrodynamic turbulence in a rotating sphere with precession and dynamo action
• Multiple scales kinetic theory for rotationally constrained slow inertial waves and anisotropic dynamics