14 November 2002

14:00

Dr Andrew Cliffe

Abstract

A method for computing periodic orbits for the Navier-Stokes
equations will be presented. The method uses a finite-element Galerkin
discretisation for the spatial part of the problem and a spectral
Galerkin method for the temporal part of the problem. The method will
be illustrated by calculations of the periodic flow behind a circular
cylinder in a channel. The problem has a simple reflectional symmetry
and it will be explained how this can be exploited to reduce the cost
of the computations.