Large-Eddy Simulations of Fluid and Magnetohydrodynamic Turbulence Using Renormalized Parameters

Abstract

In this paper a procedure for large-eddy simulation (LES) has been devised for fluid and magnetohydrodynamic turbulence in Fourier space using the renormalized parameters. The parameters calculated using field theory have been taken from recent papers by Verma [Phys. Rev. E, 2001; Phys. Plasmas, 2001]. We have carried out LES on $64^3$ grid. These results match quite well with direct numerical simulations of $128^3$. We show that proper choice of parameter is necessary in LES.

12 pages, 4 figures: Proper figures inserted

References in corpus (2)

• Field theoretic calculation of energy cascade rates in nonhelical magnetohydrodynamic turbulence
• Calculation of renormalized viscosity and resistivity in magnetohydrodynamic turbulence

Cited by in corpus (5)

• Statistical Theory of Magnetohydrodynamic Turbulence: Recent Results
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• Optimal subgrid scheme for shell models of turbulence
• Large-eddy simulation of Rayleigh-Bénard convection at extreme Rayleigh numbers
• Scaling of Turbulent Viscosity and Resistivity: Extracting a Scale-dependent Turbulent Magnetic Prandtl Number