Naslov
Stability of the kinematically coupled $\beta$- scheme for fluid-structure interaction problems in hemodynamics

Autori
Čanić, Sunčica ; Muha, Boris ; Bukač, Martina

Izvornik
International journal of numerical analysis and modeling (1705-5105) 12 (2015), 1; 54-80

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
fluid-structure interaction; partitioned schemes; stability analysis; added-mass effect

Sažetak
It is well-known that classical Dirichlet-Neumann loosely coupled partitioned schemes for fluid- structure interaction (FSI) problems are unconditionally unstable for certain combinations of physical and geometric parameters that are relevant in hemodynamics. It was shown in \cite{; ; ; ; causin2005added}; ; ; ; on a simple test problem, that these instabilities are associated with the so called ``added-mass effect''. By considering the same test problem as in \cite{; ; ; ; causin2005added}; ; ; ; , the present work shows that a novel, partitioned, loosely coupled scheme, recently introduced in \cite{; ; ; ; MarSun}; ; ; ; , called the kinematically coupled $\beta$-scheme, does not suffer from the added mass effect for any $\beta \in [0, 1]$, and is unconditionally stable for all the parameters in the problem. Numerical results showing unconditional stability are presented for a full, nonlinearly coupled benchmark FSI problem, first considered in~\cite{; ; ; ; formaggia2001coupling}; ; ; ; .

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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