https://doi.org/10.1140/epjp/i2019-12968-3
Regular Article
An improvement to the unsteady MHD rotating flow over a rotating sphere near the equator via two radial basis function schemes
1
Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., 15914, Tehran, Iran
2
Department of Chemistry, University of Minnesota, 55455, Minneapolis, Minnesota, USA
3
Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, 4800 Cao An Rd., 201804, Jiading, Shanghai, China
4
ENN-Tongji Clean Energy Institute of advanced studies, Shangai, China
* e-mail: saeedkazem@gmail.com
Received:
13
October
2016
Accepted:
31
August
2019
Published online:
6
December
2019
In this paper, we present the numerical simulation for the steady and unsteady incompressible viscous magnetohydrodynamic (MHD) rotating flow over a rotating sphere near the equator and investigate the effect of the ratio of the angular velocities of the sphere and the fluid, the suction/injection and magnetic field on the flow characteristics. The continuity equations for this problem give rise to a system of nonlinear partial differential equations which have been solved with two radial basis function (RBF) methods: the mixed Ritz and Kansa method and the RBF-HFD method. The results will be useful in the temporal evolution of rotating magnetic stars. Also the convergence of the numerical solutions has been explicitly studied by means of the residual function which confirms that RBFs methods give a simple and accurate solution for this problem.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
