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CATEGORIES:Lectures & Presentations
DESCRIPTION:Speaker: Martina Bukac\nAffiliation: Department of Applied and
Computational Mathematics and Statistics\, University of Notre Dame\n\nTitl
e: Adaptive time-stepping methods for fluid-structure interaction problems\
n\nAbstract: In realistic flow problems described by partial differential
equations (PDEs)\, where the dynamics are not known\, or in which the varia
bles are changing rapidly\, the robust\, adaptive time-stepping is central
to accurately and efficiently predict the long-term behavior of the solutio
n. This is especially important in the coupled flow problems\, such as the
fluid-structure interaction (FSI)\, which often exhibit complex dynamic beh
avior. While the adaptive spatial mesh refinement techniques are well estab
lished and widely used\, less attention has been given to the adaptive time
-stepping methods for PDEs. We will discuss novel\, adaptive\, partitioned
numerical methods for FSI problems with thick and thin structures. The time
integration in the proposed methods is based on the refactorized Cauchy's
one-legged 'theta-like' method\, which consists of a backward Euler method\
, where the fluid and structure sub-problems are sub-iterated until converg
ence\, followed by a forward Euler method.The bulk of the computation is do
ne by the backward Euler method\, as the forward Euler step is equivalent t
o (and implemented as) a linear extrapolation. We will present the numerica
l analysis of the proposed methods showing linear convergence of the sub-it
erative process and unconditional stability. The time adaptation strategies
will be discussed. The properties of the methods\, as well as the selectio
n of the parameters used in the adaptive process\, will be explored in nume
rical examples.
DTEND:20211027T203500Z
DTSTAMP:20220124T235132Z
DTSTART:20211027T193500Z
LOCATION:AYR\, 112
SEQUENCE:0
SUMMARY:CAM Seminar
UID:tag:localist.com\,2008:EventInstance_37758644618088
URL:https://calendar.utk.edu/event/cam_seminar_6051
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