Stabilized Finite Element Methods vs LES modelling for fluid-strucure interaction with anisotropic adaptive meshing

Elie Hachem (1) , Stephanie Feghali (1) , Thierry Coupez (1)

1 CEMEF - Centre de Mise en Forme des Matériaux

This paper presents a stabilised finite element method for the solution of incompressible multiphase flow problems in three dimensions using an immersed volume method with anisotropic adaptive meshing. A recently developed stabilised finite element solver which draws upon features of solving general fluid-structure interactions is presented. The proposed method is developed in the context of the monolithic formulation. Such strategy gives rise to an extra stress tensor in the Navier-Stokes equations coming from the presence of the structure in the fluid. The distinctive feature of the Variational MultiScale approach is not only the decomposition for both the velocity and the pressure fields into coarse/resolved scales and fine/unresolved scales but also the possible efficient enrichment of the extra constraint. This choice of decomposition is shown to be favorable for simulating multiphase flows at high Reynolds number. We assess the behaviour and accuracy of the proposed formulation coupled to the levelset method approximation in the simulation of 2D and 3D time-dependent numerical examples such as : vortex shedding behind an obstacle, conjugate heat transfer inside industrial furnaces and the rigid bodies motion in incompressible flows.

See http://hal.archives-ouvertes.fr/docs/00/59/26/96/ANNEX/r_Q1R43125.pdf

Mots clés: Immersed Stress Method; Stabilized Finite Elements; Fluid-Structure Interaction; Anisotropic Mesh Adaptation; Monolithic Approach; SFEM; High Reynolds number

Domaines: Mécanique [physics.med-ph]

Elie Hachem, Stephanie Feghali, Thierry Coupez. Stabilized Finite Element Methods vs LES modelling for fluid-strucure interaction with anisotropic adaptive meshing. 10e colloque national en calcul des structures, May 2011, Giens, France. 8p. ; Clé USB. ⟨hal-00592696⟩