Avoiding instabilities caused by added mass effects in fluid-structure interaction problems

Abstract

The main goal of this paper is to present a new strategy to avoid the unstable behavior caused by added mass effects in approaches the involve pressure segregation or staggered techniques in incompressible flows. We will start by partitioning a monolithic fluid-structure interaction scheme using a static condensation of the velocity terms. We will analyse each term and propouse some approximations to the original problem that will greately simplify the solution step without detriment of the fluid-structure interaction stability. Finally we will present some numerical results with eveident added mass effects to eveluate the effectiveness of our technique.