TY - JOUR
T1 - Stability of the Kinematically Coupled β-Scheme for Fluid-Structure Interaction Problems in Hemodynamics
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 54
EP - 80
PY - 2015
DA - 2015/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/478.html
KW - Fluid-structure interaction, Partitioned schemes, Stability analysis, Added-mass effect.
AB - <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>