Reference : A rheological interface model and its space-time finite element formulation for fluid...
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Computational Sciences
A rheological interface model and its space-time finite element formulation for fluid-structure interaction
Legay, A. [Structural Mechanics and Coupled Systems Laboratory, Conservatoire National des Arts et Métiers, 2 Rue Conté, 75003 Paris, France]
Zilian, Andreas mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Janssen, C. [Institute for Computational Modeling in Civil Engineering, Technische Universität Braunschweig, Mühlenpfordstr. 4-5, 38106 Braunschweig, Germany]
International Journal for Numerical Methods in Engineering
Yes (verified by ORBilu)
[en] Fluid-structure interaction ; Rheological interface model ; Space time finite element method ; Algebraic system ; Coupled systems ; Discontinuous Galerkin methods ; Eulerian ; Extended model ; Field variables ; Flow induced vibrations ; Fluid domain ; Fluid-structure interaction problem ; Fluid-structure interfaces ; Incompressible Navier Stokes equations ; Interface model ; Interface stiffness ; Interface traction ; Interface velocity ; Lagrangian ; Mechanical model ; Mesh motion ; Numerical simulation ; Physical interface ; Rigidbody dynamics ; Space time finite element ; Structural parts ; Time-integration ; TO effect ; Weak formulation ; Weighted residuals ; Algebra ; Computer simulation ; Coupled circuits ; Cylinders (shapes) ; Deformation ; Finite element method ; Fluid structure interaction ; Fluids ; Galerkin methods ; Mathematical models ; Models ; Navier Stokes equations ; Rheology ; Vibrations (mechanical) ; Viscous flow ; Rigid structures
[en] This contribution discusses extended physical interface models for fluid-structure interaction problems and investigates their phenomenological effects on the behavior of coupled systems by numerical simulation. Besides the various types of friction at the fluid-structure interface the most interesting phenomena are related to effects due to additional interface stiffness and damping. The paper introduces extended models at the fluid-structure interface on the basis of rheological devices (Hooke, Newton, Kelvin, Maxwell, Zener). The interface is decomposed into a Lagrangian layer for the solid-like part and an Eulerian layer for the fluid-like part. The mechanical model for fluid-structure interaction is based on the equations of rigid body dynamics for the structural part and the incompressible Navier-Stokes equations for viscous flow. The resulting weighted residual form uses the interface velocity and interface tractions in both layers in addition to the field variables for fluid and structure. The weak formulation of the whole coupled system is discretized using space-time finite elements with a discontinuous Galerkin method for time-integration leading to a monolithic algebraic system. The deforming fluid domain is taken into account by deformable space-time finite elements and a pseudo-structure approach for mesh motion. The sensitivity of coupled systems to modification of the interface model and its parameters is investigated by numerical simulation of flow induced vibrations of a spring supported fluid-immersed cylinder. It is shown that the presented rheological interface model allows to influence flow-induced vibrations. © 2010 John Wiley & Sons, Ltd.

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