Numerical Simulation of Turbulent Flows

Linda Stals (MSI, ANU)

MSI Computational Mathematics Seminar Series

DATE: 2007-10-22
TIME: 11:00:00 - 12:00:00
LOCATION: John Dedman G35
CONTACT: JavaScript must be enabled to display this email address.

ABSTRACT:
The motivation behind this work is the solution of the Hasegawa-Wakatani equations that are used to model plasma flow. To design or predict the behaviour of turbulent flows prolonged time series is required. The challenge is to find a numerical method that can allow long time steps without polluting the results with numerical instabilities.

The primary focus of the talk is the solution of systems of non-linear ordinary differential using linear multistep methods. We will present the theory behind the solution of non-linear equations and use it to predict the maximum possible time steps sizes for a number of different linear multistep methods. The results will be applied to Hasegawa-Wakatani equations.
BIO:
http://wwwmaths.anu.edu.au/~stals/