Fall 2015

This week's colloquium will be held at CAB, LEIR CONFERENCE ROOM 3052. Refreshments are served at 11:30 am. For questions about the seminar schedule, please contact Yassine Boubendir.


Date: September 4, 2015

Speaker: Sookkyung Lim
Department of Mathematical Sciences,
University of Cincinnati

University Profile

Title: "Generalized Immersed Boundary Method Applied to Biofluid Problems"

Abstract:

We introduce a general version of the immersed boundary (IB) method combined with the unconstrained Kirchhoff rod theory which has been developed to study the dynamics of filamentous structures interacting with a viscous fluid. A thin elastic filament (rod) in the Kirchhoff model that resists bending and twisting can be modeled as a "three-dimensional space curve'' together with an orthonormal triad (material frame) at each point of the rod. The space curve represents the centerline of the rod and the triad indicates the amount of bend and twist. This is a well-established theory in the statics and dynamics of thin elastic filaments without fluid. Combining Kirchhoff rod theory with the standard models of viscous incompressible fluids will allow us to study the complicated hydrodynamics of bacterial flagellar swimming, DNA supercoiling, and more.