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Magnetohydrodynamic simulations using radial basis functions

✍ Scribed by Marcelo J. Colaço; George S. Dulikravich; Helcio R.B. Orlande

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
748 KB
Volume
52
Category
Article
ISSN
0017-9310

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✦ Synopsis

To overcome the computational mesh quality difficulties, mesh-free methods have been developed. One of the most popular mesh-free kernel approximation techniques is radial basis functions (RBFs). Initially, RBFs were developed for multivariate data and function interpolation. It is well-known that a good interpolation scheme also has great potential for solving partial differential equations. In the present study, the RBFs are used to interpolate stream-function and temperature in a two-dimensional thermal buoyancy flow acted upon by an externally applied steady magnetic field. Use of mesh-free methods promises to significantly reduce the computing time, especially for the complex classes of problems such as magnetohydrodynamics.

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