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《Journal of Huazhong University of Science and Technology(Nature Science Edition)》 2009-12
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Solving the problem of electromagnetic convection-diffusion using multiscale combined RBF collocation method

Zhang Yong1 Zhao Chenghong2 Yang Guangyuan1 Shao Keran1(1 College of Electrical and Electronics Engineering,Huazhong University of Science andTechnology,Wuhan 430074,China;2 Wuhan Marine Electric Propulsion Research Institute,Wuhan 430064,China)  
A novel multi-scale combined radial basis function(RBF)collocation method,as a truly mesh-less method,by combining two types of RBFs with different shape scales,namely the primary RBFs and the auxiliary RBFs,and orthogonalizing the auxiliary RBFs and the primary RBFs to form a systematical solving matrix instead of using a single RBF for collocation mesh-less techniques,is presented to overcome the shortcomings of general RBF collocation method and applied to analyzing eddy currents in a typical convection-diffusion problem with dominant convection terms,such as high speed moving conductors eddy current problems.A typical example is set to illustrate the accuracy and effectiveness of the proposed method,including a comparison with general RBF collocation method and finite element method(FEM).It indicates that the numerical solution to the typical convection-diffusion problem from traditional RBF mesh-less method and FEM will cause to spurious oscillations,but the present method can get accurate solution.Therefore,the proposed method is greatly superior to FEM and the general RBF collocation methods in analyzing convection-diffusion problems.
【Fund】: 国家博士后科学基金资助项目(20070420170);; 国家首批博士后特别资助项目
【CateGory Index】: O441
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