Numerical simulation of 2D MHD flows-Ψ-ξ-A method

Author

Krzeminski, S.K. ; Cala, A. ; Smialek, M.

Author_Institution

Inst. of the Theory of Electr. Eng. & Meas., Warsaw Univ. of Technol., Poland

Volume

32

Issue

3

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

990

Lastpage

993

Abstract

Described in this paper is the flow of a viscous, non-compressible liquid with a property of electric current conduction, inside a channel with a rapidly expanded section, in an external magnetic field (B&oarr; ₀). A description is made using two vector potentials (A&oarr;, Ψ&oarr;), and the vorticity vector (ξ&oarr;), which form a system of three simultaneous, quasilinear equations of the elliptic type. An approximation is applied by constructing an iterative, finite difference algorithm for obtaining discrete value distribution of the above fields

Keywords

channel flow; finite difference methods; flow simulation; iterative methods; magnetohydrodynamics; simulation; vortices; Ψ-ξ-A method; 2D MHD flows; channel; electric current conduction; elliptic quasilinear equations; external magnetic field; field discrete value distribution; iterative finite difference algorithm; numerical simulation; rapidly expanded section; vector potentials; viscous noncompressible liquid; vorticity vector; Approximation algorithms; Current; Equations; Finite difference methods; Iterative algorithms; Magnetic fields; Magnetic liquids; Magnetic properties; Magnetohydrodynamics; Numerical simulation;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.497406

Filename

497406