1998/06/19 by David McComb, McComb, David, Jaek-Jin Yang +5
Earth and Planetary Sciences · Engineering · Environmental Science · Physics and Astronomy · #Climate variability and models #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.physics/9806028
5 pages; 7 figures; latex; presented at the Eleventh Symposium on Turbulent Shear Flows in Grenoble, September 8-11, 1997
arxiv created 1998/06/19 · openalex publication_date 1998/06/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.