General and theoretical problems numerical simulation of Rayleigh-Taylor instability of magnetic liquids

Magnetohydrodynamics

Volumn 33, Issue 2, 1997, Pages 99-106

  Cebers, A ^a  

^a Latvian Academy of Sciences   (Latvia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84855446330     PISSN: 0024998X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. A. Cebers and M. M. Maiorov, 'Magnetostatic instabilities in plane layers of magnetizable liquids,' Magnetohydrodynamics, 16, No. 1, 21-27 (1980)
2. R. E. Rosensweig, M. Zahn, and R. Shumovich, 'Labyrmthine instability in magnetic and dielectric fluids,' JMMM, 39, No. 1/2, 127-132 (1983)
3. C Flament, J. C. Bacri, A. Cebers, F. Elias, and R. Perzynski, 'Parallel stripes of ferrofluid as a macroscopic bidi-mensional smectic,' Europhys. Lett., 34, No. 3, 225-230 (1996)
4. M. Seul and D. Andelman, 'Domain shapes and patterns: The phenomenology of modulated phases,' Science, 267, 476-483 (1995)
5. A. Cebers and A. Zemitis, 'Numerical simulation of MHD instability of the free surface of a gripped drop of magnetic liquid. 1,' Magnetohydrodynamics, 19, No. 4, 360-368 (1983)
6. A. Cebers and I. Drikis, 'A numerical study of the evolution of quasi-two-dimensional magnetic fluid shapes,' Magnetohydrodynamics, 32, No. 1, 8-17 (1996)
7. A. J. Dickstein, S. Erramilli, R. E. Goldstein, D. P. Jackson, and S. A. Langer, 'labyrinthine pattern formation in magnetic fluids,' Science, 261, 1012-1015 (1993)
8. J. C. Bacri, A. Cebers, C. Flament, S. Lads, R. Melliti, and R Perzynski, 'Fingering phenomena at bending instability of a magnetic fluid stripe,' Progr. Colloid Polym. Sci., 98, 30-34 (1995)
9. A. Cebers, 'Nonlinear magnetodiffusion problems in the intrinsic field of a particle ensemble,' Magnetohydrodynamics, 27, No. 2, 123-128 (1991)
10. A. Cebers, 'Numerical simulation of Safirnan-Taylor instability of magnetizable Uquids,' Magnetohydrodynamics, 23, No. 1, 13-19 (1987)
11. A. Cebers and M. M. Maiorov, 'The comblike instability in thin layers of a magnetic liquids,' Magnetohydrodynamics, 16, No. 2, 126-130 (1980)
12. D. P. Jackson, R. E. Goldstein, and A. O. Cebers, 'Hydrodynamics of fingering instabilities in dipolar fluids,' Phys. Rev. E, 50, No. 1, 298-307 (1994)
13. T. Maxworthy, 'The nonlinear growth of a gravitationally unstable interface in a Hele-Shaw cell,' J. Fluid Mech., 177, 207-232
14. S. Wolfram, Mathematica. A System for Doing Mathematics by Computer, Addison Wesley (1991)
15. T. Hou, J. S. Lowengrub, and M. J. Shelley, 'Removing the stiflness from interfacial flows with surface tension,' J. Computational Phys., 114, 312-338 (1994)