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Local RBF‐FD solutions for steady convection–diffusion problems
Author(s) -
Chandhini G.,
Sanyasiraju Y. V. S. S.
Publication year - 2007
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2024
Subject(s) - radial basis function , mathematics , convection–diffusion equation , diffusion , finite difference , convection , reynolds number , finite difference method , function (biology) , scheme (mathematics) , mathematical analysis , mechanics , computer science , physics , thermodynamics , turbulence , artificial intelligence , evolutionary biology , biology , artificial neural network
This paper describes the application of radial basis function (RBF) based finite difference type scheme (RBF‐FD) for solving steady convection–diffusion equations. Numerical studies are made using multiquadric (MQ) RBF. By varying the shape parameter in MQ, the accuracy of the solution is seen to be highly improved for large values of Reynolds' numbers. The developed scheme has been compared with the corresponding finite difference scheme and found that the solutions obtained using the former are non‐oscillatory. Copyright © 2007 John Wiley & Sons, Ltd.