Volume 10, Issue 1
Numerical Analysis of a Finite Element Crank-Nicolson Discretization for MHD Flows at Small Magnetic Reynolds Numbers

G. Yuksel & R. Ingram

DOI:

Int. J. Numer. Anal. Mod., 10 (2013), pp. 74-98

Published online: 2013-10

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  • Abstract

We consider the finite element method for time dependent MHD ow at small magnetic Reynolds number. We make a second (and common) simplification in the model by assuming the time scales of the electrical and magnetic components are such that the electrical field responds instantaneously to changes in the uid motion. This report gives a comprehensive error analysis for both the semi-discrete and a fully-discrete approximation. Finally, the e ectiveness of the method is illustrated in several numeral experiments.

  • Keywords

Navier-Stokes MHD finite element Crank-Nicolson

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COPYRIGHT: © Global Science Press

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