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DTSTART:20070311T020000
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X-APPLE-TRAVEL-ADVISORY-BEHAVIOR:AUTOMATIC
UID:99291
DTSTAMP:20230829T104319Z
DTSTART;TZID=America/New_York:20230908T110000
DTEND;TZID=America/New_York:20230908T115000
URL;TYPE=URI:https://www.wpi.edu/news/calendar/events/mathematical-sciences
 -department-colloquium-dana-ferranti-wpi-simulating-bodies-immersed-viscou
 s
SUMMARY:Mathematical Sciences Department Colloquium - Dana Ferranti\, WPI "
 Simulating bodies immersed in viscous flows: new developments in the Metho
 d of Regularized Stokeslets (MRS)" HA209
DESCRIPTION:Mathematical Sciences Department\nColloquium\nSpeaker: Dana Fer
 ranti\, WPI\nFriday\, September 8\, 2023\n11:00 am - 11:50 am\nHA209\, For
 key Conference Room\nHost: Sarah Olson\nTitle: Simulating bodies immersed 
 in viscous flows: new developments in the Method of Regularized Stokeslets
  (MRS)\nAbstract: The method of regularized Stokeslets (MRS) is a popular 
 numerical method for simulating viscous-dominated flows (a.k.a. Stokes flo
 ws) generated by forces distributed over surfaces. Physically\, these flow
 s occur at the microscale and are relevant in the study of bacteria/sperm 
 motility\, ciliary propulsion\, and many more subjects of scientific inter
 est. The method works by replacing point forces with regularized forces\, 
 effectively spreading the force in a localized region at the point of appl
 ication through a Gaussian-like ``blob’’ function which depends on a p
 arameter ϵ. In the classic implementation of MRS\, the choice of ϵ is ch
 osen for accuracy reasons to be about the same size as the spatial discret
 ization of the surface. This places a practical limit on how small one can
  make ϵ\, and in turn\, how small one can make the regularization error. 
 The focus of this talk will be on a variation of the method that replaces 
 the scattered forces and quadrature in the traditional implementation of M
 RS with a piecewise linear force distribution over a triangulated mesh and
  analytic integration. The result is an extreme weakening of the dependenc
 e of the regularization parameter on the discretization of the surface\, a
 s demonstrated through several examples. This talk is intended to be widel
 y accessible to people of different mathematical backgrounds.
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