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Fluid Dynamics Seminar
Monday, Oct. 11, 2010,
4:00 PM
Cullimore Lecture Hall, Room 611
New Jersey Institute of
Technology
Large-scale simulations of vesicles suspended in 3D viscous flows
Shravan Veerapaneni
Courant Institute of Mathematical Sciences, New York University
Abstract
Vesicles are locally-inextensible closed membranes that possess tension and bending energies. Vesicle flows model numerous biophysical phenomena that involve deforming particles interacting with a Stokesian fluid. We will present new schemes for simulating the three-dimensional hydrodynamic interactions of large number of vesicles. They incorporate (i) a stable time-stepping scheme that overcomes the high-order stiffness, (ii) spectral discretization of deforming surfaces in space, (iii) a new reparameterization scheme capable of resolving extreme mesh distortions in dynamic simulations, and (iv) a fast multipole method (FMM) acceleration for calculating the interaction forces. We will discuss some applications of the simulations in understanding the rheology and the mechanics of biomembranes.