June 18,  19,  20   2003
 
 
 

02:30 PM - Thursday, June 19, 2003 - Amphitheater Darboux

Claes Johnson

Department of Mathematics
Chalmers University of Technology
SE-412 96 Göteborg - Sweden

claes@math.chalmers.se

On the Computability of Turbulent Flow

We present applications of adaptive error control in finite element methods for fluid flow governed by the incompressible Navier-Stokes equations, including laminar and turbulent time-dependent 3d flow. The error control is based on a posteriori error estimates involving residuals of the finite element solution multiplied by weights obtained by solving an associated dual linearized problem. The size of the dual weights reflects the stability properties of the flow and the chosen quantity of interest, and thus directly couples to the computability of the flow. We show examples of computability of mean values in turbulent flow, with larger mean values requiring less computational effort for a given tolerance. We also present results on the computability of drag and lift in laminar flows.