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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Topological Solitons/Numerical Analysis Seminar: The Variational Particle-Mesh Method for Discrete Variational Fluid Dynamics

Presented by Dr Colin Cotter (Imperial College),

13 December 2005 13:05 in CM221

"The Variational Particle-Mesh method is a general method for discretising fluid equations which can be derived from a variational principle. The method encodes the relationship between Lagrangian and Eulerian fluid mechanics. I will discuss results for the N-dimensional Camassa-Holm equation where it is possible to show that the method has a discrete particle relabelling symmetry which leads to a set of conservation laws that are related to Kelvin's circulation theorem. If there is time I will also discuss a new application to medical imaging. "

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