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Existence for an Unsteady Fluid-Structure Interaction Problem

Published online by Cambridge University Press:  15 April 2002

Céline Grandmont  and
Yvon Maday
Céline Grandmont
Affiliation:
Ceremade, Université Paris Dauphine, 75775 Paris Cedex 16, France.
Yvon Maday
Affiliation:
Laboratoire ASCI, Bât. 506, Université Paris Sud, 91405 Orsay, Cedex, France et ONERA, 29 avenue Division Leclerc, 92322 Châtillon, France.
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Abstract

We study the well-posedness of an unsteady fluid-structure interaction problem. We consider a viscous incompressible flow, which is modelled by the Navier-Stokes equations. The structure is a collection of rigid moving bodies. The fluid domain depends on time and is defined by the position of the structure, itself resulting from a stress distribution coming from the fluid. The problem is then nonlinear and the equations we deal with are coupled. We prove its local solvability in time through two fixed point procedures.

Keywords

Navier-Stokesfluid structure interaction.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 3 , May 2000 , pp. 609 - 636
Copyright
© EDP Sciences, SMAI, 2000

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