### Friday, June 5

## IP10

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*