A fast algorithm for a three-dimensional synthetic model of intermittent turbulence

Abstract

Synthetic turbulence models are a useful tool that provide realistic representations of turbulence, necessary to test theoretical results, to serve as background fields in some numerical simulations, and to test analysis tools. Models of 1D and 3D synthetic turbulence previously developed still required large computational resources. A new wavelet-based model of synthetic turbulence, able to produce a field with tunable spectral law, intermittency and anisotropy, is presented here. The rapid algorithm introduced, based on the classic $p$-model of intermittent turbulence, allows to reach a broad spectral range using a modest computational effort. The model has been tested against the standard diagnostics for intermittent turbulence, i.e. the spectral analysis, the scale-dependent statistics of the field increments, and the multifractal analysis, all showing an excellent response.

in press on PRE

References in corpus (7)

• Anisotropic scaling of magnetohydrodynamic turbulence
• Intermittency in the solar wind turbulence through probability distribution functions of fluctuations
• Anisotropy of Alfvénic Turbulence in the Solar Wind and Numerical Simulations
• Methods for characterising microphysical processes in plasmas
• Mimicking a turbulent signal: sequential multiaffine processes
• Persistence of small-scale anisotropy of magnetic turbulence as observed in the solar wind
• Model for the spatio-temporal intermittency of the energy dissipation in turbulent flows

Cited by in corpus (10)

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• On the estimation of the current density in space plasmas: multi versus single-point techniques
• Towards Synthetic Magnetic Turbulence with Coherent Structures
• BxC Toolkit: Generating Tailored Turbulent 3D Magnetic Fields
• Superstatistical wind fields from point-wise atmospheric turbulence measurements
• Multiscale Turbulence Synthesis: Validation in 2D Hydrodynamics
• Evaluation of scale-dependent kurtosis with HelioSwarm
• High-energy Particle Transport in Three-dimensional Anisotropic Turbulent Magnetic Fields