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Stability of the kinematically coupled $\beta$- scheme for fluid-structure interaction problems in hemodynamics (CROSBI ID 205513)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Čanić, Sunčica ; Muha, Boris ; Bukač, Martina Stability of the kinematically coupled $\beta$- scheme for fluid-structure interaction problems in hemodynamics // International journal of numerical analysis and modeling, 12 (2015), 1; 54-80

Podaci o odgovornosti

Čanić, Sunčica ; Muha, Boris ; Bukač, Martina

engleski

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

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}; ; ; ; .

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

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Podaci o izdanju

12 (1)

2015.

54-80

objavljeno

1705-5105

2617-8710

Povezanost rada

Matematika

Indeksiranost