A multi-physics and multi-time scale approach for modeling fuid-solid interaction and heat transfer

Sylvie Bordère (1) , J.-P Caltagirone (2)

1 ICMCB - Institut de Chimie de la Matière Condensée de Bordeaux
2 I2M - Institut de Mécanique et d'Ingénierie de Bordeaux

A novel non-conservative formulation for equations governing thermo-mechanical phenomena is developed to address multi-material and multi-physics issues. The first key point is that this formulation achieves a unifying equation for compressible viscous fluid flow and elastic solid deformation. The second is that the thermo-mechanical equations are both written with velocity and thermal flux variables to solve them simultaneously. With that formulation, interaction conditions at the fluid-structure interface become implicit and state equation is no longer necessary. Multi-time scale problems are solved, from the time scale of acoustic and thermoacoustic wave propagation, to longer time scale of fluid flow and thermal diffusion.

Mots clés: multi-time scale; fluid-solid interaction; acoustic wave propagation; heat transport; monolithic approach; multi-physics

Domaines: Mécanique des fluides [physics.class-ph]

Sylvie Bordère, J.-P Caltagirone. A multi-physics and multi-time scale approach for modeling fuid-solid interaction and heat transfer. Computers & Structures, 2016, 164, pp.38-52. ⟨10.1016/j.compstruc.2015.10.009⟩. ⟨hal-03136163⟩