Numerical Approximation of a Steady MHD Problem

作者: Marco Discacciati

DOI: 10.1007/978-3-540-75199-1_37

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摘要: We consider a magnetohydrodynamic (MHD) problem which models the steady flow of conductive incompressible fluid confined in bounded region and subject to the Lorentz force exerted by interaction electric currents magnetic fields. present an iterative method inspired operator splitting solve this nonlinear coupled problem, discretization based on conforming finite elements.

参考文章(8)
W. J. Layton, A. J. Meir, P. G. Schmidt, A TWO-LEVEL DISCRETIZATION METHOD FOR THE STATIONARY MHD EQUATIONS ,(1997)
Jean-Frédéric Gerbeau, Claude Le Bris, Tony Lelièvre, None, Mathematical Methods for the Magnetohydrodynamics of Liquid Metals ,(2006)
Roland Griesse, Karl Kunisch, Optimal Control for a Stationary MHD System in Velocity-Current Formulation Siam Journal on Control and Optimization. ,vol. 45, pp. 1822- 1845 ,(2006) , 10.1137/050624236
A. J. Meir, Paul G. Schmidt, Analysis and Numerical Approximation of a Stationary MHD Flow Problem with Nonideal Boundary SIAM Journal on Numerical Analysis. ,vol. 36, pp. 1304- 1332 ,(1999) , 10.1137/S003614299732615X
J. L. Guermond, P. D. Minev, Mixed finite element approximation of an MHD problem involving conducting and insulating regions: The 3D case Numerical Methods for Partial Differential Equations. ,vol. 19, pp. 709- 731 ,(2003) , 10.1002/NUM.10067