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Applied Interdisciplinary Mathematics (AIM) Seminar

Fluid-structure interactions within marine phenomena
Friday, September 25, 2020
3:00-4:00 PM
(Zoom) East Hall Map
To understand the fluid dynamics of marine phenomena fluid-structure interaction problems must be solved. Challenges exist in developing analytical and numerical techniques to solve these complex flow problems with boundary conditions at fluid-structure interfaces. I will present details of two different problems where these challenges are handled: (1) modeling of pulsating soft corals and (2) accurate evaluation of layer potentials near boundaries and interfaces in three dimensions. The first problem of pulsating soft corals will be motivated by field and experimental work in the marine sciences. I will discuss these related data and provide comparisons with the modeling. For the second problem of accurate evaluation of layer potentials, I will show how classical numerical methods are problematic for evaluations close to boundaries and how newly developed asymptotic methods can be used to remove the error. To demonstrate this method, I will consider the interior Laplace problem.
Speaker(s): Shilpa Khatri (University of California, Merced)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics, Applied Interdisciplinary Mathematics (AIM) Seminar - Department of Mathematics