Effect of filter type on the statistics of energy transfer between resolved and subfilter scales from a-priori analysis of direct numerical simulations of isotropic turbulence

Abstract

The effects of different filtering strategies on the statistical properties of the resolved-to-sub-filter scale (SFS) energy transfer are analyzed in forced homogeneous and isotropic turbulence. We carry out a priori analyses of statistical characteristics of SFS energy transfer by filtering data obtained from direct numerical simulations (DNS) with up to $2048^3$ grid points as a function of the filter cutoff scale. In order to quantify the dependence of extreme events and anomalous scaling on the filter, we compare a sharp Fourier Galerkin projector, a Gaussian filter and a novel class of Galerkin projectors with non-sharp spectral filter profiles. Of interest is the importance of Galilean invariance and we confirm that local SFS energy transfer displays intermittency scaling in both skewness and flatness as a function of the cutoff scale. Furthermore, we quantify the robustness of scaling as a function of the filtering type.

References in corpus (7)

• Multifractal statistics of Lagrangian velocity and acceleration in turbulence
• Hyperviscosity, Galerkin truncation and bottlenecks in turbulence
• Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers
• Large-eddy simulation study of the logarithmic law for second and higher-order moments in turbulent wall-bounded flow
• Twenty-five years of multifractals in fully developed turbulence: a tribute to Giovanni Paladin
• Lagrangian Statistics for Navier-Stokes Turbulence under Fourier-mode reduction: Fractal and Homogeneous Decimations
• Extended self-similarity in moment-generating-functions in wall-bounded turbulence at high Reynolds number

Cited by in corpus (18)

• Cascades and transitions in turbulent flows
• Is vortex stretching the main cause of the turbulent energy cascade?
• On the role of vorticity stretching and strain self-amplification in the turbulence energy cascade
• Energy transfer in turbulence under rotation
• Spatio-temporal coarse-graining decomposition of the global ocean geostrophic kinetic energy
• Resolved energy budget of superstructures in Rayleigh-Bénard convection
• Synchronizing subgrid scale models of turbulence to data
• Dual channels of helicity cascade in turbulent flows
• Baropycnal Work: A Mechanism for Energy Transfer Across Scales
• Self-similar Subgrid-scale Models for Inertial Range Turbulence and Accurate Measurements of Intermittency
• Multiscale properties of Large Eddy Simulations: correlations between resolved-scale velocity-field increments and subgrid-scale quantities
• On the local energy flux of turbulent flows
• Filtering, averaging and scale dependency in homogeneous variable density turbulence
• Ensemble data assimilation-based mixed subgrid-scale model for large-eddy simulations
• Effects of forcing mechanisms on the multiscale properties of magnetohydrodynamics
• Temporal large-scale intermittency and its impact on the statistics of turbulence
• Inertial range statistics of the Entropic Lattice Boltzmann in 3D turbulence
• A-priori study of the subgrid energy transfers for small-scale dynamo in kinematic and saturation regimes