Investigation of renormalization group methods for the numerical simulation of isotropic turbulence
David McComb, Jaek-Jin Yang, Alistair Young, Luc Machiels
Abstract
Renormalization group has enjoyed successes in other areas of statistical physics. However, its application to turbulence faces several technical difficulties, which have had to be circumvented by uncontrolled approximations. Indeed, in view of the deterministic nature of the Navier-Stokes equations, it is clear that the operation of averaging out the high-wavenumber modes while keeping the low-wavenumber modes constant, cannot be done rigorously and in itself can only be an approximation. With points like this in mind, we have recently adopted direct numerical simulation as a tool for probing the basic feasibility of using RG techniques to reduce the number of degrees of freedom requiring to be numerically simulated. In this paper, we present some of the first results of this approach.
Create a lesson
Related papers
FlowReconBench: Accuracy, calibration and cost of learned and classical flow reconstruction from sparse sensors
Nicolas Tricard, Linzheng Wang, Jason Chen et al.
Odd Capillarity
Nadia Bihari Padhan, Axel Voigt
Experimental evaluation of Kolmogorov's first similarity hypothesis for shear-dependent viscosity fluids
Luciano Hergenreder, Serge Simoëns, Wernher Brevis
Interscale energy transfer in a propeller-driven homogeneous and isotropic turbulence generation device
Luciano Hergenreder, Serge Simoëns, Cristián Escauriaza et al.
A Drift-Diffusion Approach for Pearson Type IV Heavy-Tail Distributions
Daniele Belardinelli, Simone Benella, Mirko Stumpo et al.
A Finite Element Model for Fluid--Poroelastic Structure Interaction with Dissipative Interface
Mohammad Jannesari, Francesco Costanzo