Summary
For many problems of fluid—structure interaction, the stucture evolves freely in the fluid without being attached to any part of its boundary. The resulting motion of the structure can then be quite important but is mainly composed of a large rigid body motion to which is superposed a small elastic perturbation. Due to its size, this perturbation can be modeled by the linearized elasticity equation. The resulting problem leads to nonlinear partial differential equations that can be coupled to the Navier—Stokes equations and numerically tackled by the use of modal expensions. The aim of this paper is to derive this formulation under clear assumptions.
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Grandmont, C., Maday, Y. (2003). Some Remarks on Fluid-Structure Interaction Problems in Case of Rigid Body plus Small Perturbations. In: Barton, N.G., Periaux, J. (eds) Coupling of Fluids, Structures and Waves in Aeronautics. Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44873-0_18
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DOI: https://doi.org/10.1007/978-3-540-44873-0_18
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