Flow of Spatiotemporal Turbulentlike Random Fields

Physical Review Letters
Jason Reneuve, L Chevillard

Abstract

We study the Lagrangian trajectories of statistically isotropic, homogeneous, and stationary divergence-free spatiotemporal random vector fields. We design this advecting Eulerian velocity field such that it gets asymptotically rough and multifractal, both in space and time, as it is demanded by the phenomenology of turbulence at infinite Reynolds numbers. We then solve numerically the flow equations for a differentiable version of this field. We observe that trajectories get also rough, characterized by nearly the same Hurst exponent as the one of our prescribed advecting field. Moreover, even when considering the simplest situation of the advection by a fractional Gaussian field, we evidence in the Lagrangian framework additional intermittent corrections. The present approach involves properly defined random fields, and asks for a rigorous treatment that would explain our numerical findings and deepen our understanding of this long lasting problem.

References

Sep 28, 1987·Physical Review Letters·C Meneveau, K R Sreenivasan
Mar 10, 2001·Nature·A La PortaE Bodenschatz
Dec 12, 2001·Physical Review Letters·N MordantJ F Pinton
Dec 18, 2002·Physical Review Letters·N MordantJ-F Pinton
Mar 14, 2003·Physical Review Letters·R Friedrich
Dec 20, 2003·Physical Review Letters·L ChevillardA Arneodo
Aug 25, 2004·Physical Review Letters·L BiferaleF Toschi
Aug 11, 2005·Physical Review Letters·L ChevillardA Arnéodo
Feb 14, 2006·Science·Mickaël BourgoinEberhard Bodenschatz
Jul 23, 2008·Physical Review Letters·A ArnèodoUNKNOWN International Collaboration for Turbulence Research
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rehab BitaneJérémie Bec
May 22, 2019·Physical Review. E·Jean-François Muzy
Aug 9, 2019·Nature Communications·Lukas BentkampMichael Wilczek

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