Applied Math And Analysis Seminar
Monday, March 23, 2009, 4:30pm, 119 Physics
John Stockie (Simon Fraser University, Department of Mathematics)
Porous immersed boundaries
Abstract:- Porous, deformable membranes are encountered in a wide range of
applications including red blood cells, vesicles, porous wave makers,
and parachutes. The "immersed boundary method" has already proven to be
a versatile and robust approach for simulating the interaction of
impermeable, elastic structures with an incompressible fluid flow. We
demonstrate how to extend the method to handle porous boundaries by
incorporating an explicit porous slip velocity that is determined by
Darcy's law. We derive a simple, radially-symmetric exact solution,
which is then used to validate numerical simulations of porous membranes
in two dimensions. [video]
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