Fluid-Structure Interaction and Biomedical Applications

0435828 - MÚ 2015 RIV CH eng M - Část monografie knihy
Grandmont, C. - Lukáčová-Medviďová, M. - Nečasová, Šárka
Mathematical and numerical analysis of some FSI problems.
Fluid-Structure Interaction and Biomedical Applications. 1. Basel: Birkhäuser, 2014 - (Bodnár, T.; Galdi, G.; Nečasová, Š.), s. 1-77. Advances in Mathematical Fluid Mechanics. ISBN 978-3-0348-0821-7
Grant CEP: GA ČR(CZ) GAP201/11/1304
Institucionální podpora: RVO:67985840
Klíčová slova: ALE method * elastic structure * existence of the weak solution
Kód oboru RIV: BA - Obecná matematika
http://link.springer.com/chapter/10.1007/978-3-0348-0822-4_1

In this chapter we deal with some specific existence and numerical results applied to a 2D/1D fluid–structure coupled model, for an incompressible fluid and a thin elastic structure. We will try to underline some of the mathematical and numerical difficulties that one may face when studying this kind of problems such as the geometrical nonlinearities or the added mass effect. In particular we will point out the link between the strategies of proof of weak or strong solutions and the possible algorithms to discretize these type of coupled problems.
Trvalý link: http://hdl.handle.net/11104/0239728