Abstract
We present in this paper several efficient numerical schemes for the magneto-hydrodynamic (MHD) equations. These semi-discretized (in time) schemes are based on the standard and rotational pressure-correction schemes for the Navier-Stokes equations and do not involve a projection step for the magnetic field. We show that these schemes are unconditionally energy stable, present an effective algorithm for their fully discrete versions and carry out demonstrative numerical experiments.
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Choi, H., Shen, J. Efficient splitting schemes for magneto-hydrodynamic equations. Sci. China Math. 59, 1495–1510 (2016). https://doi.org/10.1007/s11425-016-0280-5
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DOI: https://doi.org/10.1007/s11425-016-0280-5