Graduate/Faculty Seminar
Friday, April 12, 2013, 4:30pm, 119 Physics
Ioannis Sgouralis (Duke University)
A numerical method for solving the advection-diffusion equation in moving domains
Abstract:- The advection-diffusion equation commonly arises in the tracking
of substances that are carried by and diffuse in a fluid. My interest lies
in models of biological flows, where the equation is defined on domains
representing the lumen of blood vessels, tubules, or ducts, which owing to
its complex geometry and deformation, has a significant impact on the
underlying substance that cannot be ignored. In the talk, I will go through
the basic steps involved in the development of a numerical method for the
solution of the advection-diffusion equation on such domains with an
emphasis on domains with moving boundaries. To handle the difficulties
introduced by the boundary, the proposed method will follow the finite
volume formulation. [video]
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