Friday, June 5

A Wave Equation Approach to the Numerical Simulation of Incompressible Viscous Fluid Flow

1:30 PM-2:15 PM
Chair: John Berger, Colorado School of Mines
Room 246

The main goal of this lecture is to discuss the numerical solution of the Navier Stokes equations modeling the flow of incompressible viscous fluids. The methodology combine: a) time discretization by a second order symmetrized operator-splitting method; b) efficient Stokes solvers to handle the incompressibility condition; c) a second order in time wave equation formulation of the advection well suited to explicit time-stepping methods; and d) a stiff A-stable nearly third order accurate Runge-Kutta method to treat the diffusion.

The speaker will discuss an alternative solution method based on the stream function-vorticity formulation, and present the result of numerical experiments for two and three-dimensional fluid flow.

Roland Glowinski
Department of Mathematics, University of Houston

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tjf, 12/23/97; MMD, 4/9/98