Unconditional stability of a partitioned IMEX method for magnetohydrodynamic flows

作者：Trenchea Catalin^*

来源：Applied Mathematics Letters, 2014, 27: 97-100.

DOI：10.1016/j.aml.2013.06.017

• Magnetohydrodynamics
• Partitioned methods
• IMEX methods
• Stability
• Elsasser variables

Magnetohydrodynamic (MHD) flows are governed by Navier-Stokes equations coupled with Maxwell equations through coupling terms. We prove the unconditional stability of a partitioned method for the evolutionary full MHD equations, at high magnetic Reynolds number, written in the Elsasser variables. The method we analyze is a first-order one-step scheme, which consists of implicit discretization of the subproblem terms and explicit discretization of the coupling terms.

• 出版日期2014-1