Calculating magnetohydrodynamic flow spectra

Computer Physics Communications

Volumn 106, Issue 1-2, 1997, Pages 39-52

  Nijboer, R J ^a   Holst, B V D ^a   Poedts, S ^b   Goedbloed, J P ^a  

^a FOM INSTITUTE FOR PLASMA PHYSICS RIJNHUIZEN   (Netherlands)

^b CENTRE FOR PLASMA ASTROPHYSICS   (Belgium)

Author keywords

Finite elements; Flow; MHD; Spectral stability

Indexed keywords

DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; LINEARIZATION; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; MAGNETOPLASMA; MATRIX ALGEBRA; NATURAL SCIENCES COMPUTING; NONLINEAR EQUATIONS; PLASMA STABILITY;

MAGNETOHYDRODYNAMIC FLOW; MATRIX EIGENVALUE PROBLEMS;

PLASMA FLOW;

EID: 0031549543     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4655(97)00082-9     Document Type: Article

References (10)

1. W. Kerner, K. Lerbinger, R. Gruber and T. Tsunematsu, Normal mode analysis for resistive cylindrical plasmas, Comput. Phys. Commun. 36 (1985) 225-240.
2. W. Kerner, K. Lerbinger and J. Steuerwald, Computing complex eigenvalues of large non-hermitian matrices, Comput. Phys. Commun. 38 (1985) 27-37.
3. W. Kerner, Large-scale eigenvalue problems, J. Comput. Phys. 85 (1989) 1-85.
4. G.T.A. Huijsmans, J.P. Goedbloed and W. Kerner, Free boundary resistive modes in tokamaks, Phys. Fluids B 5 (1993) 1545-1558.
5. E. Hameiri, Spectral estimates, stability conditions and the rotating screw-pinch, J. Math. Phys. 22 (1981) 2080-2088.
6. G. Strang and G.J. Fix, An analysis of the Finite Element Method (Prentice-Hall, Englewood Cliffs, NJ, 1973).
7. J. Rappaz, Approximation of the spectrum of a non-compact operator given by the magnetohydrodynamic stability of a plasma, Numer. Math. 28 (1977) 15-24.
8. A. Bondeson, R. Iacono and A. Bhattacharjee, Local magnetohydrodynamic instabilities of cylindrical plasma with sheared equilibrium flows, Phys. Fluids 30 (1987) 2167-2180.
9. A. Miura and P.L. Pritchett, Nonlocal stability analysis of the MHD Kelvin-Helmholtz instability in a compressible plasma, J. Geophys. Res. 87 (1982) 7431-7444.
10. R.J. Nijboer, A.E. Lifschitz and J.P. Goedbloed, Spectrum and stability of a rigidly rotating compressible plasma, J. Plasma Physics, submitted.