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

作者：

Highlights：

• A novel pressure-correction schemes based on scalar auxiliary variable method for the MHD equations is proposed.

• The rigorous analysis of the stability for the proposed first-order scheme and second-order.

• Extensive 2D numerical tests demonstrated the efficacy and accuracy of the proposed method.

• Moreover, the PC-SAV adaptive time-stepping method is given that improve efficiency.

摘要

•A novel pressure-correction schemes based on scalar auxiliary variable method for the MHD equations is proposed.•The rigorous analysis of the stability for the proposed first-order scheme and second-order.•Extensive 2D numerical tests demonstrated the efficacy and accuracy of the proposed method.•Moreover, the PC-SAV adaptive time-stepping method is given that improve efficiency.

论文关键词：Time-dependent MHD,SAV approach,Pressure-correction method,Unconditional stability,Adaptive time-stepping method

论文评审过程：Received 23 April 2022, Revised 29 July 2022, Accepted 12 September 2022, Available online 24 September 2022, Version of Record 24 September 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127550