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DTSTAMP:20261019T125135
DTSTART;TZID=America/Detroit:20261021T160000
DTEND;TZID=America/Detroit:20261021T170000
SUMMARY:Workshop / Seminar:Student AIM Seminar:  Asymptotics of Stokes flow in slightly curved and slender cylindrical channels
DESCRIPTION:Flow through a network of interconnected channels creates ill-conditioned problems due to the multiply connected topology. Boundary integral equation methods are generally good tools in solving fluid problems by reducing degrees of freedom\, but it is less ideal to handle this ill-conditioning due to its non-local representation. A scattering theory has been proposed to address this in 2D by approximating branches in a network as straight channels\, in which the solution flow follow a \"rapid return to Poiseuille flow\" under pressure drop and no-slip wall condition [Wang 2026]. In this talk we will consider the applicability of this approximation in 3D by looking at the asymptotic problems of two specific cases of Stokes flow: when the cylinder is slightly curved (the Dean problem) and when the radius of the cylinder becomes exceedingly thin.\n\nReference: Haiyang Wang\, Fredrik Fryklund\, Samuel Potter\, and Leslie Greengard. Scattering theory for stokes flow in complex branched structures. Journal of Computational Physics\, 564:115148\, 2026.
UID:153830-21916417@events.umich.edu
URL:https://events.umich.edu/event/153830
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Applied Mathematics
LOCATION:East Hall - 3088
CONTACT:
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