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


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

Published online: 2013-10

Preview Full PDF 304 1112
Export citation
  • 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

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
Copy to clipboard
The citation has been copied to your clipboard