Numerical solution of Magnetohydrodynamic flow Problem using Radial Basis Functionbased Finite DifferenceMethod

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Technology, M. P. J., S. Ganesh, & L. Jones Tarcius Doss. (2019). Numerical solution of Magnetohydrodynamic flow Problem using Radial Basis Functionbased Finite DifferenceMethod. Asian Journal of Current Engineering and Maths, 8(5). Retrieved from http://innovativejournal.in/index.php/ajcem/article/view/2601
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Abstract

This paper focuses on the application of Radial Basis Functiongenerated Finite Difference method (RBF-FD) to solve Magnetohydrodynamic (MHD) flow equation in a rectangular duct in the presence of transverse external oblique magnetic field. Multiquadric (MQ) Radial Basis Functionis used to obtain the numerical solution of the MHD flow problem. Accuracy of the solution can be improved by varying the shape parameter in MQ function. The solution obtained from RBF-FD method is compared with analytical solution and classical Finite Differencesolution. Contours are presented for various Hartmann numbers with different grid sizes and directions of the applied magnetic field. The behavior of velocity and the magnetic field of the MHD flow has been studied using the contours.

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