Numerical modeling of diffusion within composite media

Miljan Milosevic (1)

1 BioIRC, Kragujevac

t. Within biological systems, which contain complex and composite media, diffusion may depend not only on internal geometry, but also on the chemical interactions between solid phase and transported particles. New hierarchical multiscale microstructural model for diffusion within complex media is presented. Hierarchical modeling approach is then employed to construct a continuum diffusion model based on a novel numerical homogenization procedure, using which we evaluate constitutive material parameters.

Mots clés: diffusion; hierarchical modelling; microstructural and continuum model; numerical homogenization

Domaines: Analyse numérique [math.NA]; Mécanique [physics]; Sciences de l'ingénieur [physics]

Miljan Milosevic. Numerical modeling of diffusion within composite media. 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France. ⟨hal-00855843⟩