Stability of the Kinematically Coupled β-Scheme for Fluid-Structure Interaction Problems in Hemodynamics
Year: 2015
International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 1 : pp. 54–80
Abstract
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 [18] 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 [18], the present work shows that a novel, partitioned, loosely coupled scheme, recently introduced in [11], called the kinematically coupled β-scheme, does not suffer from the added mass effect for any β ∈ [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 [31].
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2015-IJNAM-478
International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 1 : pp. 54–80
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Fluid-structure interaction Partitioned schemes Stability analysis Added-mass effect.