In bioengineering applications problems of flow interacting with elastic solid are very common. We formulate the problem of interaction for an incompressible fluid and an incompressible elastic material in a fully coupled arbitrary Lagrangian-Eulerian formulation. The mathematical description and the numerical schemes are designed in such a way that more complicated constitutive relations (and ...

An important eld in computational science and engineering is the simulation of the coupled problem of uid ow interacting with a moving structure. A common notation for this is uid-structure interaction (FSI) problems, which include both aeroelasticity and hydroelasticity. Such multi-physics systems have received renewed attention as a result of the increase in length of slender structures e.g. ...

Micro Abstract We present a new and completely parallel approach for fluid-structure interaction, which includes also contact between the elastic structures. Our approach is inspired by the fictitious domain method and makes intensive use of variational transfer between the solid and the fluid and on the possibly contacting surfaces between solids. We present the discretization, the setup of th...

We provide a selective review of recent progress in the analysis of several physiological and physiologically inspired fluid-structure interaction problems, our aimbeing to explain the underlying physicalmechanisms that cause the observed behaviors. Specifically, we discuss recent studies of self-excited oscillations in collapsible tubes, focusing primarily on studies of an idealized model syst...

Simulations of fluid-structure interaction (FSI) are increasingly being used to calculate the mutual interaction between a fluid flow and a flexible structure. Mature, reliable and optimized codes are readily available to solve flow equations or structural equations separately but the handful of monolithic codes which are able to solve all equations in an FSI problem simultaneously have not yet...

— In this article we study three different types of fluid-structure interaction problems. A gênerai mathematical framework is given and then we show how the gênerai results can be applied to the three spécifie problems ; evolutionary problems, as well as vibration (eigenvalue) problems are considered. Résumé. — Dans cet article nous étudions trois types différents de problèmes d'interaction flu...

We consider thermal fluid structure interaction to model industrial gas quenching in steel forging, where hot steel is cooled using cold high pressured gas. This allows to define properties of the finished steel part, as for example yield strength, locally at low cost and without environmental problems. For the numerical simulation, a partitioned approach via a Dirichlet-Neumann coupling and a ...

The objective of this work is to examine the potential of isogeometric methods in the context of multidisciplinary shape optimization. We introduce a shape optimization problem based on a coupled fluid-structure system, whose geometry is defined by NURBS (Non-Uniform Rational B-Spline) curves. This shape optimization problem is then solved by using either an isogeometric approach, or a classica...