Applied Mathematics Seminar

Date/Time/Room: Thursday (10/4/2001) at 2:00 pm in 304 Pickard Hall

Speaker: Tsorng-Whay Pan, Department of Mathematics, University of Houston

``A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: Application to particulate flow''

Abstract: In this talk, we discuss a methodology allowing the direct numerical simulation of incompressible viscous fluid flow past moving rigid bodies. The simulation methods rest essentially on the combination of:
1. Lagrange multiplier based fictitious domain methods which allow the fluid flow computations to be done in a fixed flow
2. Finite element approximations of the Navier-Stokes equations occurring in the global model.
3. Time discretizations by operator splitting schemes in order to treat optimally the various operators present in the The above methodology is particularly well-suited to the direct numerical simulation of particulate flow, such as the flow of mixtures of rigid solid particles and incompressible viscous fluids, possibly non-Newtonian. We conclude this talk by the presentation of the results of various numerical experiments of sedimentation and fluidization phenomena in two and three dimensions.