Matrix valued Radial Basis Functions for local vector field reconstruction: applications to computational fluid dynamic models

MOX 75

Matrix valued Radial Basis Functions for local vector field reconstruction: applications to computational fluid dynamic models

Thursday 12th January 2006

Baudisch, J.; Bonaventura, Luca; Iske, A.; Miglio, Edie

Matrix valued radial basis functions are applied to achieve accurate local vector field reconstructions of smooth vector fields from normal components assigned at the edges of a computational mesh. The theory underlying this reconstruction approach is reviewed and reformulated so as to allow for more straightforward application. The accuracy of the locally reconstructed fields is assessed by appropriate numerical tests. Applications to numerical models for geophysical fluid dynamics problems show that such reconstruction techniques can usefully complement low order discretization approaches with important discrete conservation properties.

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International Journal of Numerical Methods in Fluids, Vol. 66, pp. 714-729, 2011