Methods and systems for modeling fluid property transport in physical systems

Abstract

A method performed by at least one processing unit comprises receiving a selection of a control volume associated with a physical system; receiving selections of a time dependent potential variable for the transported property and a time dependent flow variable for the transported property; receiving at least one fluid flow equation; determining an advection process; determining a diffusion process; determining a time dependent scaling factor based on at least the advection process and the diffusion process; deriving a rescaled transport flow equation for the time dependent flow variable for the transported property by adding the advection process and the diffusion process, and by applying the time dependent scaling factor for normalization; solving a plurality of equations that include the fluid flow equation and the rescaled transport flow equation; deriving the time dependent flow variable for the transported property; and deriving the time dependent potential variable for the transported property.