Turbulent Flow Modeling via Galerkin Method and Finite Time Thermodynamics

Abstract

The Navier-Stokes equations are the trusted description for many flows of practical relevance. Ample physical and engineering expertize is necessary to accommodate this description to an industrial setting. Presently and in predictable future there will be no CFD method to simulate the flow ranging from large coherent structures to the Kolmogorov scale. The flow modeling process can be considered as the sufficiently accurate reduction of the system. The key challenge in turbulence modeling is the reduction of the dynamical system to a coarser discretization. For spectral methods, or more generally: Galerkin models, discretization corresponds to the adequate base of expansion modes.