@Article{IJNAM-12-1,
author = {},
title = {Stability of the Kinematically Coupled β-Scheme for Fluid-Structure Interaction Problems in Hemodynamics},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2015},
volume = {12},
number = {1},
pages = {54--80},
abstract = {<p style="text-align: justify;">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].</p>},
issn = {2617-8710},
doi = {https://doi.org/2015-IJNAM-478},
url = {https://global-sci.com/article/83277/stability-of-the-kinematically-coupled-b-scheme-for-fluid-structure-interaction-problems-in-hemodynamics}
}