A multiscale computational approach with field transfer dedicated to coupled problems

David Dureisseix (1, 2) , David Néron (3)

1 ThM2 - ThermoMécanique des Matériaux
2 MIST - Laboratoire de micromécanique et intégrité des structures
3 LMT - Laboratoire de Mécanique et Technologie

This paper deals with a computational strategy suitable for the simulation of coupled problems, in presence of heterogeneities and when different precision levels are required for the different physics. To deal with micro heterogeneities, an adaptation of the classical periodic homogenization procedure is used, with the asymptotic development approach, but only one direction of periodicity can be taken into account. The application concerns an axisymmetric reinforced filtration device, modelled as a steady state thermo-poroelastic structure, for which thermal and fluid problems are described only at the (homogenized) macroscopic level, while the structure is described up to the micro scale. The relocalization has to take edge effects into account since scales are not well separated. The influence of the discretization on the micro scale is studied numerically.

Mots clés: asymptotic expansion; finite elements; non matching meshes; multiphysics; thermo-poroelasticity; periodic homogenization; partitioning

Domaines: Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]

David Dureisseix, David Néron. A multiscale computational approach with field transfer dedicated to coupled problems. International Journal for Multiscale Computational Engineering, 2008, 6 (3), pp.233-250. ⟨10.1615/IntJMultCompEng.v6.i3.40⟩. ⟨hal-00330016⟩