A projection method for the non-stationary incompressible MHD coupled with the heat equations

作者：

Highlights：

• The linearized projection scheme for non-stationary incompressible coupled the MHD with heat equations

• The projection algorithm naturally preserves the Gauss’s law.

• The unconditional stability and error estimates of the velocity, pressure, magnetic field and temperature were given.

• The numerical results are consistent with our theoretical analysis, and our method is effective.

摘要

•The linearized projection scheme for non-stationary incompressible coupled the MHD with heat equations•The projection algorithm naturally preserves the Gauss’s law.•The unconditional stability and error estimates of the velocity, pressure, magnetic field and temperature were given.•The numerical results are consistent with our theoretical analysis, and our method is effective.

论文关键词：Coupled the MHD with heat equations,Projection scheme,Energy estimates,Error estimates,Regularity analysis

论文评审过程：Received 30 December 2021, Revised 22 March 2022, Accepted 2 May 2022, Available online 13 May 2022, Version of Record 13 May 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127217