Self-similar scaling in decaying numerical turbulence

Abstract

Decaying turbulence is studied numerically using as initial condition a random flow whose shell-integrated energy spectrum increases with wavenumber k like k^q. Alternatively, initial conditions are generated from a driven turbulence simulation by simply stopping the driving. It is known that the dependence of the decaying energy spectrum on wavenumber, time, and viscosity can be collapsed onto a unique scaling function that depends only on two parameters. This is confirmed using three-dimensional simulations and the dependence of the scaling function on its two arguments is determined.

8 pages, 9 figures. Published in PRE

References in corpus (5)

• Kinetic Energy Decay Rates of Supersonic and Super-Alfvenic Turbulence in Star-Forming Clouds
• Inverse cascade in decaying 3D magnetohydrodynamic turbulence
• Bottleneck effect in three-dimensional turbulence simulations
• Decay laws for three-dimensional magnetohydrodynamic turbulence
• On inverse Cascades and Primordial Magnetic Fields

Cited by in corpus (9)

• Classes of hydrodynamic and magnetohydrodynamic turbulent decay
• The "zeroth law" of turbulence: Isotropic turbulence simulations revisited
• Evolution of inflation-generated magnetic field through phase transitions
• Scaling Laws in Magnetohydrodynamic Turbulence
• Scaling of the Hosking integral in decaying magnetically-dominated turbulence
• Evolution of primordial magnetic fields in mean-field approximation
• Inverse transfer of self-similar decaying turbulent non-helical magnetic field
• On the self-similarity of nonhelical magnetohydrodynamic turbulence
• On the zero viscosity limit