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