[Female-math-faculty] Women in Math Winter Lecture Series

Kristine McGlynn kmcglynn at uwaterloo.ca
Wed Mar 12 10:36:35 EDT 2014

Dear Women in Math,

On Thursday, March 20th at 3:30 pm in MC 5158, the Winter Women in Math lecture will be delivered by Anna-Karin Tornberg, Professor of Numerical Analysis at KTH Royal Institute of Technology. All are welcome to the talk; the title and abstract are below.

At 12.00 p.m. on Thursday Anna-Karin will meet a small group of selected students for lunch. If you are interested in being one of them, please send an email<mailto:wim at math.uwaterloo.ca> to Women in Math.
Title:  Accelerated Boundary Integral Simulations of Particulate and Two-Phase Flows

Abstract: In micro-fluidic applications where the scales are small and viscous effects dominant, the Stokes equations are often applicable. The suspension dynamics of fluids with immersed rigid particles and fibers are very complex also in this Stokesian regime, and surface tension effects are strongly pronounced at interfaces of immiscible fluids.  Simulation methods can be developed based on boundary integral equations, which leads to discretizations of the boundaries of the domain only, and hence fewer unknowns compared to a discretization of the PDE.

Two main challenges associated with boundary integral discretizations are to construct accurate quadrature methods for singular and nearly singular integrands, as well as to accelerate the solution of the linear systems, that will have dense system matrices.

If these issues are properly addressed, boundary integral based simulations can be both highly accurate and very efficient.

I will present a spectrally accurate FFT based Ewald method developed for the purpose of accelerating simulations and will discuss its application to simulations of periodic suspensions of rigid particles and rigid fibers in 3D. I will also discuss a method for highly accurate simulations of interacting drops in 2D.

Click here to view poster<https://math.uwaterloo.ca/math/sites/ca.math/files/uploads/files/Anna-Karin%20Tornberg%20Poster2.pdf>!

See upcoming WIM Events<http://math.uwaterloo.ca/women-in-mathematics/events>!

Laura Sanita
Assistant Professor
Women in Mathematics, Chair
Department of Combinatorics & Optimization
University of Waterloo
Waterloo, ON, Canada N2L 3G1

Phone: (519) 888-4567 Ext. 31395

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