Journal
APPLIED NUMERICAL MATHEMATICS
Volume 59, Issue 5, Pages 1043-1058Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.apnum.2008.05.001
Keywords
Unsteady MHD flow; Meshless local Petrov-Galerkin (MLPG) method; Unit Heaviside test function; Moving least squares (MLS) approximation
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In this article a meshless local Petrov-Galerkin (MLPG) method is given to obtain the numerical solution of the coupled equations in velocity and magnetic field for unsteady magnetohydrodynamic (MHD) flow through a pipe of rectangular section having arbitrary conducting walls. Computations have been carried out for different Hartmann numbers and wall conductivity at various time levels. The method is based on the local weak form and the moving least squares (MLS) approximation. For the MLS, nodal points spread over the analyzed domain are utilized to approximate the interior and boundary variables. A time stepping method is employed to deal with the time derivative. Finally numerical results are presented showing the behaviour of velocity and induced magnetic field across the section. (C) 2008 IMACS. Published by Elsevier B.V. All rights reserved.
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