Subgrid modelling of convective diffusion in a multiscale random medium

Olga N. Soboleva, Е. П. Курочкина · Russian Journal of Numerical Analysis and Mathematical Modelling · 2019

Abstract Effective coefficients for convective diffusion equations are obtained. Correlated random fields of conductivity and porosity are approximated by multiplicative cascades with log-normal distributions of probabilities. The theoretical result is checked numerically for the case of 3D plane flow of an incompressible fluid.

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