Numerical solution of the nonlinear electrodynamics in MHD regimes with magnetic Reynolds number near one

Author

Borghi, Carlo A. ; Carraro, Mario R. ; Cristofolini, Andrea

Author_Institution

Dept. of Electr. Eng., Univ. of Bologna, Italy

Volume

40

Issue

2

fYear

2004

fDate

3/1/2004 12:00:00 AM

Firstpage

593

Lastpage

596

Abstract

In magnetohydrodynamic (MHD) regimes of plasmas with magnetic Reynolds number comparable to one, electrodynamics exhibits a nonlinear characteristic. In the present paper, the electrodynamics has been discretized utilizing a finite-element method. The problem unknown is the electric scalar potential. Nonlinearity is caused by the dependence of the electric transport parameters and of the source terms on the magnetic flux density. Different approaches are evaluated to deal with the nonlinearity. The model has been coupled with a solver of the Navier-Stokes equations. The MHD interaction in the boundary layer of an hypersonic flight has been analyzed.

Keywords

Navier-Stokes equations; electric potential; electrodynamics; finite element analysis; magnetic flux; plasma magnetohydrodynamics; MHD interaction; Navier-Stokes equations; electric scalar potential; electric transport parameters; finite-element method; hypersonic flight; magnetic Reynolds number; magnetic flux density; magnetohydrodynamic; nonlinear electrodynamics; nonlinear solver; numerical solution; plasma MHD; Electric potential; Electrodynamics; Finite element methods; Magnetic flux; Magnetic flux density; Magnetohydrodynamics; Navier-Stokes equations; Plasma properties; Plasma sources; Plasma transport processes;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.825414

Filename

1284484