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Novel pressure-correction schemes based on scalar auxiliary variable method for the MHD equations

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  • Wang, Weilong

Abstract

This work introduces a novel schemes that combines scalar auxiliary variable (SAV) and pressure-correction (PC) method to solve the magneto-hydrodynamic (MHD) equations. Prove that the first-order and the second-order PC-SAV scheme are unconditionally energy stable. Moreover, the results obtained by our numerical experiments can well verify the effectiveness of the schemes. Finally, the PC-SAV adaptive time-stepping method is given that improve efficiency.

Suggested Citation

  • Wang, Weilong, 2023. "Novel pressure-correction schemes based on scalar auxiliary variable method for the MHD equations," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    • Handle: RePEc:eee:apmaco:v:437:y:2023:i:c:s0096300322006245
    DOI: 10.1016/j.amc.2022.127550
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