Energy Flux and Bottleneck Effect in Turbulence

Abstract

Past numerical simulations and experiments of turbulence exhibit a hump in the inertial range, called the bottleneck effect. In this paper we show that sufficiently large inertial range (four decades) is required for an effective energy cascade. We propose that the bottleneck effect is due to the insufficient inertial range available in the reported simulations and experiments. To facilitate the turbulent energy transfer, the spectrum near Kolmogorov's dissipation wavenumber has a hump.

11 pages, 4 Figures, Revtex

References in corpus (11)

• The inverse cascade and nonlinear alpha-effect in simulations of isotropic helical hydromagnetic turbulence
• Simulations of nonhelical hydromagnetic turbulence
• Statistical Theory of Magnetohydrodynamic Turbulence: Recent Results
• Bottleneck effect in three-dimensional turbulence simulations
• The imprint of large-scale flows on turbulence
• Local shell-to-shell energy transfer via nonlocal Interactions in fluid turbulence
• Cascade time-scales for energy and helicity in homogeneous isotropic turbulence
• On the role of inviscid invariants in shell models of turbulence
• Energy transfer and locality in magnetohydrodynamic turbulence
• Nonlocal bottleneck effect in two-dimensional turbulence
• A non local shell model of turbulent dynamo

Cited by in corpus (23)

• The sonic scale revealed by the world's largest supersonic turbulence simulation
• Neutrino-driven Turbulent Convection and Standing Accretion Shock Instability in Three-Dimensional Core-Collapse Supernovae
• Ion Temperatures in the Low Solar Corona: Polar Coronal Holes at Solar Minimum
• Turbulence in Core-Collapse Supernovae
• A Stable, Accurate Methodology for High Mach Number, Strong Magnetic Field MHD Turbulence with Adaptive Mesh Refinement: Resolution and Refinement Studies
• Energy Spectra and Fluxes in Dissipation Range of Turbulent and Laminar Flows
• Energy Spectra of Quantum Turbulence: Large-scale Simulation and Modeling
• Pattern formation by turbulent cascades
• Implicit large eddy simulations of anisotropic weakly compressible turbulence with application to core-collapse supernovae
• Experimental Study of the Bottleneck in Fully Developed Turbulence
• Variable energy flux in turbulence
• Transition from dissipative to conservative dynamics in equations of hydrodynamics
• Real-space Manifestations of Bottlenecks in Turbulence Spectra
• On the thermal equilibrium state of large scale flows
• Extreme dissipation and intermittency in turbulence at very high Reynolds numbers
• The Onset of Thermalisation in Finite-Dimensional Equations of Hydrodynamics: Insights from the Burgers Equation
• Numerical viscosity and resistivity in MHD turbulence simulations
• A Kolmogorov spectrum for strongly vibrating plates
• Revisiting the SABRA Model: Statics and Dynamics
• High-order Discontinuous Galerkin hydrodynamics with sub-cell shock capturing on GPUs
• Enstrophy transfers in helical turbulence
• Nonlocal interactions versus viscosity in turbulence
• Explorations into the inertial and integral scales of homogeneous axisymmetric turbulence