Open AccessAPPROXIMATE CALCULATION OF THE TILTING MODE INSTABILITY IN AN ELLIPTICAL SPHEROMAK BY VARIATIONAL METHOD
Author(s) -
Wu Han-Ming,
Pan Liang-ru
Publication year - 1984
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.33.1100
Subject(s) - spheromak , instability , physics , mathematical analysis , boundary value problem , oblate spheroid , partial differential equation , variational principle , classical mechanics , differential equation , boundary (topology) , mode (computer interface) , mechanics , mathematics , magnetohydrodynamics , plasma , computer science , quantum mechanics , operating system
Based on the variational principle, a new method for appoximately solving partial differential equation with an arbitrary boundary shape is proposed. Accordingly, the problem of solving a partial differential equation is reduced to one of solving a series of ordinary differential equations. This method proves to be more powerful when the boundary shape gets complicated. An application is made to the problem of the tilting mode instability for spheromak without restriction in ellipticity. The following physical conclusion is arrived at, namely, the oblate spheromak is better than elongated one as far as suppressing the tilting mode instability is concerned.