Thu, 02 Nov 2000
14:00 -
15:00
Comlab
Incompressible flow modelling can be a dodgy business
Dr David Silvester
(UMIST)
Abstract
This talk reviews some theoretical and practical aspects
of incompressible flow modelling using finite element approximations
of the (Navier-) Stokes equations.
The infamous Q1-P0 velocity/pressure mixed finite element approximation
method is discussed. Two practical ramifications of the inherent
instability are focused on, namely; the convergence of the approximation
with and without regularisation, and the behaviour of fast iterative
solvers (of multigrid type) applied to the pressure Poisson system
that arises when solving time-dependent Navier-Stokes equations
using classical projection methods.
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This is joint work with David Griffiths from the University of Dundee.