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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
Date: 
Tuesday 25th September 2012 - 16:10 to 16:35
Venue: 
INI Seminar Room 1
Session Title: 
Adaptive Meshing
Abstract: 
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
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