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New Zealand Mathematics Colloquium 1999
July 6-9, 1999
Department of Mathematics and Statistics, University of Canterbury
Christchurch, New Zealand

Organizers
Doris Barnard, Therese Boustead, Chris Price, Bruce Robson, Gunter Steinke, Graeme Wake, Allan Willms

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Granular Flows in Two-Dimensional Plane Hoppers
by
Shaun Hendy
IRL Applied Mathematics

A finite element numerical simulator has been developed to solve the incompressible rigid-plastic flow equations in two dimensions. The non-linearity in these equations has been dealt with using a Newton method. Similarity solutions to these equations are commonly used to model granular flows in industrial situations. Despite the widespread application of these solutions there is still controversy over their well-posedness and stability. We will investigate the usefulness of the similarity solutions and attmept to answer some questions of stability.

Date received: April 29, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacc-16.