TY - JOUR

T1 - Subgrid modelling of convective diffusion in a multiscale random medium

AU - Soboleva, Olga N.

AU - Kurochkina, Ekaterina P.

PY - 2019/6/1

Y1 - 2019/6/1

N2 - 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.

AB - 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.

KW - multiplicative cascade

KW - random fields

KW - Subgrid modelling

UR - http://www.scopus.com/inward/record.url?scp=85067474755&partnerID=8YFLogxK

U2 - 10.1515/rnam-2019-0013

DO - 10.1515/rnam-2019-0013

M3 - Article

AN - SCOPUS:85067474755

VL - 34

SP - 151

EP - 162

JO - Russian Journal of Numerical Analysis and Mathematical Modelling

JF - Russian Journal of Numerical Analysis and Mathematical Modelling

SN - 0927-6467

IS - 3

ER -