On kinetic energy localization in fluid flow

Abstract

This works focuses on participation number -- a parameter that allows to quantitatively asses the level of kinetic energy localization. The author presents a clear way of deriving participation number in a continuous case without making any assumptions about the system, fluid or flow regime. Moreover, a method of computing participation number in discretized cases is discussed and verified against well known analytical solutions using three methods, in which one was used previously in research on fluid flow through porous media. A robust formula, that works for both uniform and nonuniform discretization grids is presented.