TY - JOUR
T1 - Unconditionally Stable Pressure-Correction Schemes for a Linear Fluid-Structure Interaction Problem
AU - Ying He & Jie Shen
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 537
EP - 554
PY - 2014
DA - 2014/07
SN - 7
DO - http://doi.org/10.4208/nmtma.2014.1307si
UR - https://global-sci.org/intro/article_detail/nmtma/5889.html
KW - Fluid-structure interaction, pressure-correction, stability analysis.
AB - <p style="text-align: justify;">We consider in this paper numerical approximation of the linear Fluid-Structure Interaction (FSI). We construct a new class of pressure-correction schemes
for the linear FSI problem with a fixed interface, and prove rigorously that they
are unconditionally stable. These schemes are computationally very efficient, as
they lead to, at each time step, a coupled linear elliptic system for the velocity and
displacement in the whole region and a discrete Poisson equation in the fluid region.</p>