2014/07/05 by R. V. R. Pandya, Pandya, R. V. R.
Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1407.1828
17 pages. Submitted to arXiv.org on July 5, 2014 version 1. 18 Pages. Submitted to arXiv.org on July 17, 2014 version 2
openalex publication_date 2014/07/05 · arxiv created 2014/07/17 · arxiv updated 2014/07/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Within the framework of Kraichnan's Direct Interaction Approximation (DIA), we propose an Eulerian turbulence theory providing a closed set of equations for two-time and single-time velocity correlations, and second order correlations of infinitesimal response tensor Gin(\bf k;t,t'). The proposed theory, namely variant of DIA (VDIA), is consistent with Kolmogorov's energy spectrum. The VDIA is further modified to make it compatible with random Galilean transformation rules. The closed set of equations does not contain equation for ensemble averaged response tensor Gin(\bf k;t,t')=⟨Gin(\bf k;t,t')⟩. The present theory can also be seen as a new remormalized perturbation theory having different method for renormalization.