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

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 (međunarodna recenzija, članak, znanstveni)

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

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

Projekt / tema
037-0693014-2765 - Matematička analiza kompozitnih i tankih struktura (Zvonimir Tutek, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Boris Muha, (267374)

Časopis indeksira:

• Current Contents Connect (CCC)
• Web of Science Core Collection (WoSCC)
• Science Citation Index Expanded (SCI-EXP)
• SCI-EXP, SSCI i/ili A&HCI
• Scopus