Kj. Bathe et al., A MIXED DISPLACEMENT-BASED FINITE-ELEMENT FORMULATION FOR ACOUSTIC FLUID-STRUCTURE INTERACTION, Computers & structures, 56(2-3), 1995, pp. 225-237
The solutions of fluid-structure interaction problems, using displacem
ent-based finite element formulations for acoustic fluids, may contain
spurious non-zero frequencies. To remove this deficiency, we present
here a new formulation based on a three-field discretization using dis
placements, pressure and a ''vorticity moment'' as variables with an a
ppropriate treatment of the boundary conditions. We propose specific f
inite element discretizations and give the numerical results of variou
s example problems.