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Progress in Radial Basis Function Methods: Adaptive Vortex-RBF Methods for the Sphere and Other Advances

John Boyd, (University of Michigan)
Tuesday 25 September 2012, 16:10-16:35

Seminar Room 1, Newton Institute


Vortex methods, in which flow is modelled by overlapping Lagrangian vortex blobs, and radial basis function pseudospectral methods, which have proven their worth for irregular, adaptive grids, are combined into a single algorithm to compute flows on a sphere. The strengths and limitations of vortex-RBF methods for vortex-dominated flows with and without rotation will be illustrated by case studies including finite amplitude Rossby waves, vortex merger and deformation, and roll-up and instability. Other pertinent advances will be described as time permits.


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