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CATEGORIES:Lectures & Presentations
DESCRIPTION:CAM Seminar\n\nSpeaker: Martina Bukac\nAffiliation: Notre Dame 
 University\n\nTitle: Adaptive time-stepping methods for fluid-structure int
 eraction problems\n\nAbstract:  In realistic flow problems described by par
 tial differential equations (PDEs)\, where the dynamics are not known\, or 
 in which the variables are changing rapidly\, the robust\, adaptive time-st
 epping is central to accurately and efficiently predict the long-term behav
 ior of the solution. This is especially important in the coupled flow probl
 ems\, such as the fluid-structure interaction (FSI)\, which often exhibit c
 omplex dynamic behavior. While the adaptive spatial mesh refinement techniq
 ues are well established and widely used\, less attention has been given to
  the adaptive time-stepping methods for PDEs. We will discuss novel\, adapt
 ive\, partitioned numerical methods for FSI problems with thick and thin st
 ructures. The time integration in the proposed methods is based on the refa
 ctorized Cauchy's one-legged 'theta-like' method\, which consists of a back
 ward Euler method\, where the fluid and structure sub-problems are sub-iter
 ated until convergence\, followed by a forward Euler method.The bulk of the
  computation is done by the backward Euler method\, as the forward Euler st
 ep is equivalent to (and implemented as) a linear extrapolation. We will pr
 esent the numerical analysis of the proposed methods showing linear converg
 ence of the sub-iterative process and unconditional stability. The time ada
 ptation strategies will be discussed. The properties of the methods\, as we
 ll as the selection of the parameters used in the adaptive process\, will b
 e explored in numerical examples.
DTEND:20220927T193000Z
DTSTAMP:20260316T000709Z
DTSTART:20220927T183000Z
GEO:35.957579;-83.925751
LOCATION:Ayres Hall\, 113
SEQUENCE:0
SUMMARY:CAM Seminar
UID:tag:localist.com\,2008:EventInstance_40845519830385
URL:https://calendar.utk.edu/event/cam_seminar_26
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