Shilpa Khatri
University of California Merced
Seminar Information
Engineering Building Unit 2 (EBU2)
Room 479
Seminar Recording NOT Available
To understand the fluid dynamics of marine phenomena, fluid-structure interaction problems must be solved. Challenges exist in developing numerical techniques to solve these complex flow problems with boundary conditions at fluid-structure interfaces. I will present details of two problems where these challenges are addressed: (1) modeling of pulsating soft corals and (2) accurate evaluation of layer potentials near interfaces. 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 numerical methods can be used to improve accuracy.
Shilpa received her Ph.D. in 2009 from the Courant Institute of Mathematical Sciences, New York University. After a postdoctoral position in the Department of Mathematics at the University of North Carolina at Chapel Hill, she joined the faculty in Applied Mathematics at UC Merced in 2014. The focus of her research is fluid dynamics arising in the context of marine phenomena, such as the transport of nutrients, organisms, and pollutants in the ocean. She designs numerical methods for mathematical models that she develops and analyzes while comparing with experimental data.