Method of local fluctuations and simulation of heterogeneous media

Abstract

A new method is proposed for simulation of any physical process by using a unique and simple approach to analyze the heterogeneities of a physical medium by describing them not as geometrical objects, but as fluctuations of the physical properties of the medium. This method is suitable for heterogeneous (composite, porous, etc.) solid media as well as liquid and gaseous (two-phase and multiphase) media. Variations in the shape and size of heterogeneities during a physical process can be taken into account, and a wide range of problems can be formulated and solved. Heterogeneous media can be analyzed without simplifying the formulation of the problem for any configuration of the computational domains.