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An Energy-Preserving MAC–Yee Scheme for the Incompressible MHD Equation

✍ Scribed by Jian-Guo Liu; Wei-Cheng Wang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
261 KB
Volume
174
Category
Article
ISSN
0021-9991

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✦ Synopsis

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.

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An improved projection scheme is proposed and applied to pseudospectral collocation-Chebyshev approximation for the incompressible Navier-Stokes equations. It consists of introducing a correct predictor for the pressure, one which is consistent with a divergence-free velocity field at each time step