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Second-order conservative remapping between unstructured spherical meshes

Tuesday 25th September 2012 - 17:00 to 17:25
INI Seminar Room 1
Remapping from one finite-dimensional description of a function to another is a common problem in numerical modelling. In particular, information transit between meshes is required for, e.g., model coupling or mesh adaptation. In order to preserve the properties of a numerical scheme such as conservativity, accuracy, positivity, etc., the remapping algorithm must itself possess these properties. A second-order, conservative remapping between unstructured spherical meshes is presented. Areas are computed exactly by the defect formula and gradients estimated by the Gauss formula. Data is tree-structured, so that neighbour search is done in logarithmic time. In addition, the algorithm lends itself well to parallelisation. Numerical tests on various unstructured grids are given.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons