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

Weilong Wang

Applied Mathematics and Computation, 2023, vol. 437, issue C

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.

Keywords: Time-dependent MHD; SAV approach; Pressure-correction method; Unconditional stability; Adaptive time-stepping method (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:437:y:2023:i:c:s0096300322006245

DOI: 10.1016/j.amc.2022.127550

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