Numerical investigation of the MHD suction-injection model of viscous fluid using a kernel-based method

In this paper, a numerical investigation MHD squeezing flow between two parallel plates is presented. A method of stable approximation based on Gaussian Hilbert-Schmidt SVD (HS-SVD) is used. In the HS-SVD approach, by eliminating a significant portion of the ill-conditioning, an alternate basis for data-dependent subspace of "native" Hilbert space is obtained. The well-conditioning linear system is one of the critical advantages of using the alternate basis obtained from HS-SVD. There are three parameters A, S, and M, in the dimensionless equations and the effect of parameters on the flow field is investigated. The results show that by increasing Hartmann number (M) the axial velocity of the fluid flow decreases without a significant effect on the vertical velocity.