Monolythic Method For The Solution Of The Fluid-Structure Interaction Problem.

Abstract

We propose a Lagrangian framework for modelling fluid-structure interaction (FSI) problems
with free surfaces flows. The model is based on a Lagrangian approach for describing the fluid and
structural dynamics. Our approach allows to treat the whole FSI domain as a single entity and describes
its behaviour by a single set of momentum and continuity equations and which is solved using a single
numerical method. This work uses the Particle Finite Element Method (PFEM) to solve the resulting
differential equations. The PFEM is an effective technique for modelling complex interactions between
floating and submerged bodies and free surface flows, accounting for splashing of waves, large motions
of the bodies and frictional contact conditions. Examples are presented based on the model including
free surfaces flows and breaking waves impacting over elastics structures.