Stability of algorithms for waves with large flows

Journal of Computational Physics

Volumn 152, Issue 1, 1999, Pages 346-358

  Lionello, Roberto ^a   Mikić, Zoran ^a   Linker, Jon A ^a  

^a SCIENCE APPLICATIONS INTERNATIONAL CORPORATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

A-STABLE; ADVECTIVE FLOW; IMPLICIT TREATMENT; LINEAR PROPAGATION; NUMERICAL INSTABILITY; PROPAGATION OF WAVES; SEMI-IMPLICIT; SPATIAL DIFFERENCES; STABILITY CONDITION;

EID: 0345474738     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1999.6250     Document Type: Article

References (18)

1. Harned D. S., Kerner W. Semi-implicit method for three-dimensional compressible magnetohydrodynamic simulations. J. Comput. Phys. 60:1985;62.
2. Harned D. S., Schnack D. D. Semi-implicit method for long time scale magnetohydrodynamic computations in three dimensions. J. Comput. Phys. 65:1986;57.
3. Schnack D. D., Barnes D. C., Mikić Z., Harned D. S., Caramana E. J. Semi-implicit magnetohydrodynamic calculation. J. Comput. Phys. 70:1987;330.
4. Mikić Z., Barnes D. C., Schnack D. D. Dynamical evolution of a solar coronal magnetic field arcade. Astrophys. J. 328:1988;830.
5. Biskamp D., Welter H. Magnetic arcade evolution and instability. Sol. Phys. 120:1989;49.
6. Lerbinger K., Luciani J. F. A new semi-implicit method for MHD computations. J. Comput. Phys. 97:1991;444.
7. Poedts S., Goedbloed J. P. Nonlinear wave heating of solar coronal loops. Astron. Astrophys. 321:1997;935.
8. Lionello R., Mikić Z., Schnack D. D. Magnetohydrodynamics of solar coronal plasmas in cylindrical geometry. J. Comput. Phys. 140:1998;172.
9. Z. Mikić, and, J. A. Linker, The large-scale structure of the solar corona and inner heliosphere, in, Solar Wind Eight, edited by, D. Winterhalter, J. T. Gosling, S. R. Habbal, W. S. Kurth, and M. Neugebauer, AIP Press, Woodbury, NY, 1996, Vol, 382, p, 104.
10. Z. Mikić, and, J. A. Linker, The initiation of coronal mass ejections by magnetic shear, in, Coronal Mass Ejections, edited by, N. Crooker, J. A. Joselyn, and J. Feymanm, AGU Press, Washington, DC, 1997, Vol, 99, p, 57.
11. J. A. Linker, and, Z. Mikić, Extending coronal models to Earth orbit, in, Coronal Mass Ejections, edited by, N. Crooker, J. A. Joselyn, and J. Feynman, AGU Press, Washington, DC, 1997, Vol, 99, p, 269.
12. Hirt C. W. Heuristic stability theory for finite-difference equations. J. Comput. Phys. 2:1968;339.
13. Lionello R., Linker J. A., Mikić Z. An improved semi-implicit MHD algorithm for plasmas with large flows. Proceedings, 16th International Conference on the Numerical Simulation of Plasmas. 1998;237.
14. Richtmyer R. D., Morton K. W. Difference Methods for Initial-Value Problems. 1967.
15. Warming R. F., Hyett B. J. The modified equation approach to the stability and accuracy analysis of finite-difference methods. J. Comput. Phys. 14:1974;159.
16. Caramana E. J. Derivation of implicit difference schemes by the method of differential approximation. J. Comput. Phys. 96:1991;484.
17. Linker J. A., Mikić Z., Biesecker D. A., Forsyth R. J., Gibson S. E., Lazarus A. J., Riley P., Szabo A., Thompson B. J. Magnetohydrodynamic modeling of the solar corona during Whole Sun Month. J. Geophys. Res. 104:1999;9809.
18. Beam R. M., Warming R. F. An implicit factored scheme for the compressible Navier-Stokes equations. AIAA J. 16:1978;393.