Subgrid modelling of convective diffusion in a multiscale random medium

Olga N. Soboleva, Ekaterina P. Kurochkina

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)151-162
Number of pages12
JournalRussian Journal of Numerical Analysis and Mathematical Modelling
Volume34
Issue number3
DOIs
Publication statusPublished - 1 Jun 2019

Keywords

  • multiplicative cascade
  • random fields
  • Subgrid modelling

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