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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 "S
 imulating bodies immersed in viscous flows: new developments in the Method
  of Regularized Stokeslets (MRS)" HA209
DESCRIPTION:\n\n\n      \n      \n\n\n\nMathematical Sciences Department\nC
 olloquium\nSpeaker: Dana Ferranti, WPI\nFriday, September 8, 2023\n11:00 a
 m - 11:50 am\nHA209, Forkey Conference Room\nHost: Sarah Olson\nTitle: Sim
 ulating bodies immersed in viscous flows: new developments in the Method o
 f Regularized Stokeslets (MRS)\nAbstract: The method of regularized Stokes
 lets (MRS) is a popular numerical method for simulating viscous-dominated 
 flows (a.k.a. Stokes flows) generated by forces distributed over surfaces.
  Physically, these flows occur at the microscale and are relevant in the s
 tudy of bacteria/sperm motility, ciliary propulsion, and many more subject
 s of scientific interest. The method works by replacing point forces with 
 regularized forces, effectively spreading the force in a localized region 
 at the point of application through a Gaussian-like ``blob’’ function whic
 h depends on a parameter ϵ. In the classic implementation of MRS, the choi
 ce of ϵ is chosen for accuracy reasons to be about the same size as the sp
 atial discretization of the surface. This places a practical limit on how 
 small one can make ϵ, and in turn, how small one can make the regularizati
 on error. The focus of this talk will be on a variation of the method that
  replaces the scattered forces and quadrature in the traditional implement
 ation of MRS with a piecewise linear force distribution over a triangulate
 d mesh and analytic integration. The result is an extreme weakening of the
  dependence of the regularization parameter on the discretization of the s
 urface, as demonstrated through several examples. This talk is intended to
  be widely accessible to people of different mathematical backgrounds.\n
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