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Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows
Author(s) -
Layton W.,
Tran H.,
Trenchea C.
Publication year - 2014
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21857
Subject(s) - magnetohydrodynamics , magnetohydrodynamic drive , partial differential equation , mathematics , polygon mesh , computational fluid dynamics , maxwell's equations , numerical analysis , physics , statistical physics , computer science , classical mechanics , mechanics , mathematical analysis , magnetic field , geometry , quantum mechanics
Magnetohydrodynamics (MHD) studies the dynamics of electrically conducting fluids, involving Navier–Stokes (NSE) equations in fluid dynamics and Maxwell equations in eletromagnetism. The physical processes of fluid flows and electricity and magnetism are quite different and numerical simulations of each subprocess can require different meshes, time steps, and methods. In most terrestrial applications, MHD flows occur at low‐magnetic Reynold numbers. We introduce two partitioned methods to solve evolutionary MHD equations in such cases. The methods we study allow us at each time step to call NSE and Maxwell codes separately, each possibly optimized for the subproblem's respective physics. Complete error analysis and computational tests supporting the theory are given.Copyright © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 1083–1102, 2014