Mathematics & Computing Building
Room MC 5244
519-885-4567, ext. 37747
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The Women in Mathematics committee stands in solidarity with those experiencing racism and joins the call for actions to end systemic racism worldwide and in our own community. We are committed to support the University of Waterloo's immediate actions to create positive changes. You can find more information about the immediate and developing actions in this regard on the Human Rights, Equity and Inclusion (HREI) website.
Anna-Karin Tornberg, professor of Numerical Analysis at the Kth Royal Institute of Technology, Stockholm, Sweden.
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 Partial Differential Equation (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 Fast Fourier Transform (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.
Note: 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 to Women in Math.
Registration is encouraged!
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The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Indigenous Initiatives Office.