2013/07/08 by R. V. R. Pandya, Pandya, R. V. R.
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Mathematical Physics (math-ph) #Meteorological Phenomena and Simulations #Ocean Waves and Remote Sensing #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math-ph #math.MP #nlin.CD #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1307.2324
16 pages, submitted on July 8, 2013
openalex publication_date 2013/07/08 · arxiv created 2013/07/09 · arxiv updated 2013/07/10 · openalex created_date 2022/09/11 · openalex updated_date 2026/07/28
We propose a new Eulerian turbulence theory to obtain a closed set of equations for homogeneous, isotropic turbulent velocity field correlations and propagator functions by incorporating constraints of random Galilean invariance. This incorporation generates a few different equations for propagator and the present theory suggests a way to utilize them into the closure solutions of two-time and single-time velocity correlations' equations so as to properly account for random sweeping phenomena. The present theory yields exact solutions when applied to simple model problem of random oscillator.