Meshless Local Petrov-Galerkin Method for the Steady Magnetohydrodynamic (MHD) Flow in Rectangular Ducts With Arbitrary Wall Conductivity

Abstract

In this paper, a meshless local Petrov-Galerkin (MLPG) method is given to obtain the numerical solution of the coupled equations in velocity and magnetic field for the steady magnetohydrodynamic (MHD) flow through a straight duct of rectangular section. Mehdi Dehghan has applied MLPG method to solve the MHD flow control equations at Hartmman numbers less than 40. The integration subdomain is properly adjusted to carry out the computations for Hartmman numbers from 5 to 400. Numerical results show that the MLPG method with adjusted integration subdomains can compute MHD problems not only at low values but also at moderate values of the Hartmann number with good accuracy and convergence.