Unconditional stability of a partitioned IMEX method for magnetohydrodynamic flows

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• 作者：Catalin Trenchea
• 关键词：Magnetohydrodynamics ; Partitioned methods ; IMEX methods ; Stability ; Elsä ; sser variables
• 刊名：Applied Mathematics Letters
• 出版年：2014
• 出版时间：January, 2014
• 年：2014
• 卷：27
• 期：Complete
• 页码：97-100
• 全文大小：368 K

文摘

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 Els?sser 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.