Title
Unconditional stability of a partitioned IMEX method for magnetohydrodynamic flows.
Abstract
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 Elsässer 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.
Year
DOI
Venue
2014
10.1016/j.aml.2013.06.017
Applied Mathematics Letters
Keywords
Field
DocType
Magnetohydrodynamics,Partitioned methods,IMEX methods,Stability,Elsässer variables
Discretization,Magnetohydrodynamic drive,Mathematical optimization,Coupling,Mathematical analysis,Magnetohydrodynamics,Magnetic Reynolds number,Mathematics,Maxwell's equations
Journal
Volume
ISSN
Citations 
27
0893-9659
4
PageRank 
References 
Authors
0.91
0
1
Name
Order
Citations
PageRank
Catalin Trenchea1489.69