2009/12/12 by Sagar Chakraborty, SAGAR CHAKRABORTY, Uriel Frisch +3 · 41 citations
Engineering · Physics and Astronomy · #Burgers' equation #Combustion and flame dynamics #Compressibility #Conjecture #Fluid Dynamics and Turbulent Flows #Function (biology) #Intermittency #Particle Dynamics in Fluid Flows #Reynolds number #Scaling #Turbulence #nlin.CD
paper · pdf · doi:10.1017/s0022112010000595
published in Journal of Fluid Mechanics 649, 275-285 (Cambridge University Press) · 10 pages, 1 figure, submitted to J. Fluid Mech. (fasttrack)
arxiv created 2009/12/12 · openalex publication_date 2010/04/13 · arxiv updated 2010/04/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Extended self-similarity (ESS), a procedure that remarkably extends the range of scaling for structure functions in Navier–Stokes turbulence and thus allows improved determination of intermittency exponents, has never been fully explained. We show that ESS applies to Burgers turbulence at high Reynolds numbers and we give the theoretical explanation of the numerically observed improved scaling at both the IR and UV end, in total a gain of about three quarters of a decade: there is a reduction of subdominant contributions to scaling when going from the standard structure function representation to the ESS representation. We conjecture that a similar situation holds for three-dimensional incompressible turbulence and suggest ways of capturing subdominant contributions to scaling.