An efficient numerical algorithm for the solution of magnetohydrodynamic flow problems

What is it about?

The Meshless Point Collocation method is used for MHD flow problems in channels with fully insulating or partially insulating and partially conducting walls, having rectangular, circular, elliptical or even arbitrary cross sections. The numerical evidences of the proposed meshless method demonstrate the accuracy of the solutions after comparing with the exact solution and the conventional FEM and BEM, for the Dirichlet, Neumann and Robin boundary conditions.

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Why is it important?

MPC is a truly meshless and computationally efficient method. Convergence is attained for Neumann and Robin boundary conditions. Shape functions are constructed using the MLS approximation. The refinement procedure with meshless methods is obtained easily and fully automated. Hartmann number results are reported up to 105.