A hybrid radial basis function-pseudospectral method for thermal convection in a 3-D spherical shell: RBF-PS METHOD FOR 3-D THERMAL CONVECTION

@inproceedings{Wright2010AHR,
  title={A hybrid radial basis function-pseudospectral method for thermal convection in a 3-D spherical shell: RBF-PS METHOD FOR 3-D THERMAL CONVECTION},
  author={Grady B. Wright and Natasha Flyer and David Sonny Hung-Cheung Yuen},
  year={2010}
}
A novel hybrid spectral method that combines radial basis function (RBF) and Chebyshev pseudospectral (PS) methods in a “2+1” approach is presented for numerically simulating thermal convection in a 3-D spherical shell. This is the first study to apply RBFs to a full 3D physical model in spherical geometry. In addition to being spectrally accurate, RBFs are not defined in terms of any surface based coordinate system such as spherical coordinates. As a result, when used in the lateral directions… CONTINUE READING

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Solving PDEs with radial basis functions

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