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An energy-preserving MAC-Yee scheme for the incompressible MHD equation

Publication ,  Journal Article
Liu, JG; Wang, WC
Published in: Journal of Computational Physics
November 20, 2001

We propose a simple and efficient finite-difference method for the incompressible MHD equation. The numerical method combines the advantage of the MAC scheme for the Navier-Stokes equation and Yee's scheme for the Maxwell equation. In particular, the semi-discrete version of our scheme introduces no numerical dissipation and preserves the energy identity exactly. © 2001 Elsevier Science.

Duke Scholars

Published In

Journal of Computational Physics

DOI

ISSN

0021-9991

Publication Date

November 20, 2001

Volume

174

Issue

1

Start / End Page

12 / 37

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Liu, J. G., & Wang, W. C. (2001). An energy-preserving MAC-Yee scheme for the incompressible MHD equation. Journal of Computational Physics, 174(1), 12–37. https://doi.org/10.1006/jcph.2001.6772
Liu, J. G., and W. C. Wang. “An energy-preserving MAC-Yee scheme for the incompressible MHD equation.” Journal of Computational Physics 174, no. 1 (November 20, 2001): 12–37. https://doi.org/10.1006/jcph.2001.6772.
Liu JG, Wang WC. An energy-preserving MAC-Yee scheme for the incompressible MHD equation. Journal of Computational Physics. 2001 Nov 20;174(1):12–37.
Liu, J. G., and W. C. Wang. “An energy-preserving MAC-Yee scheme for the incompressible MHD equation.” Journal of Computational Physics, vol. 174, no. 1, Nov. 2001, pp. 12–37. Scopus, doi:10.1006/jcph.2001.6772.
Liu JG, Wang WC. An energy-preserving MAC-Yee scheme for the incompressible MHD equation. Journal of Computational Physics. 2001 Nov 20;174(1):12–37.
Journal cover image

Published In

Journal of Computational Physics

DOI

ISSN

0021-9991

Publication Date

November 20, 2001

Volume

174

Issue

1

Start / End Page

12 / 37

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences