Title :
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
fDate :
5/1/1996 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
