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

Presented by: 
John Boyd University of Michigan
Tuesday 25th September 2012 - 16:10 to 16:35
INI Seminar Room 1
Session Title: 
Adaptive Meshing
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons