Magnetohydrodynamic simulations using radial basis functions

被引:21
作者
Colaco, Marcelo J. [1 ]
Dulikravich, George S. [2 ]
Orlande, Helcio R. B. [1 ]
机构
[1] Univ Fed Rio de Janeiro, Dept Mech Engn, BR-21941972 Rio De Janeiro, Brazil
[2] Florida Int Univ, Dept Mech & Mat Engn, Miami, FL 33174 USA
关键词
Radial basis functions; Magnetohydrodynamic; Meshless methods; CONVECTION; ENCLOSURE;
D O I
10.1016/j.ijheatmasstransfer.2009.08.009
中图分类号
O414.1 [热力学];
学科分类号
摘要
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. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:5932 / 5939
页数:8
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