A solution of two-dimensional magnetohydrodynamic flow using the finite element method

IEEE Transactions on Magnetics

Volumn 34, Issue 5 PART 1, 1998, Pages 3130-3133

  Luis, Sergio ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Biconjugate gradient; Finite element method; Generalized minimum residual; Magnetohydrodynamics

Indexed keywords

EID: 33747907361     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/20.717733     Document Type: Article

References (12)

1. B. Singh and J. Lal, " Finite element method for MHD channel flow with arbitrary wall conductivity," Jour. Math. Phy. Sci. vol. 18, no. 5, pp. 501-516, 1984.
2. M. Tezer-Sezgin and S. Röksal, "Finite element method for solving MHD flow in a rectangular duct," Int. J. Num. Mein. Eng. vol. 28, pp. 445-459,1989.
3. 1. A. Sherchiff, "Steady motion of conducting fluids in pipes under transverse magnetic fields," Proc. Camb. Phil. Soc. 49, pp. 136-144, 1953.
4. D. A. H. Jacobs, "Generalisations of the conjugate gradient method for solving non-symmetric and complex systems of algebraic equations," CERL Laboratory Note no. RD/L/N 70/80,1980.
5. P. Sonneveld, "COS: a fast Lanczos-type solver for nonsymmetric linear systems," S1AMJ. Sci. Slat. Comput,v, 10, pp. 36-52, 1989.
6. H. A. van der Vorst, "BI-CGSTAB: A fast and smoothly converging variant of Bl-CG for the solution of nonsymmetric linear systems," SIAMJ. Sci. Slat. Comput., v. 13, pp. 631-644, 1992.
7. Y. Saad and M.H. Schultz, "GMRES: a generalized minimum residual algorithm for solving nonsymmetric linear systems," S1AM J. Sci. Slat. Comput., v. 7, pp. 856-869, 1986.
8. J. A. Shercliff, A Textbook of Magnetohydrodynamlcs, Pergamon Press, 1965.
9. C. C. Chang and T. S. Lundgren, " Duct flow in magnetohydrodynamics," ZAMP, 12, pp. 100-114, 1961.
10. W.F. Hughes and F. J. Young, The Ehctromagnetodynamics of Fluids, John Wiley& Sons, 1966.
11. J. I. Ramos and N. S. Winowich, "Magnetohydrodynamic channel flow study," Phys. Fluids, v. 29(4), pp. 992-997,1986.
12. E. M. Borges, ' Dcscnvolvimcnto c Slmulacan Compuracionnl do Bombas Eletromagnéticas Termoelétricas para Contrôle do Escoamento em Reatores Nucleares Espaciais Refrigerados a Metal Liquido," Ph.D. Thesis, ITA-CTA, S. Paulo, Brazil, 1991.