Time-dependent magnetic reconnecion in two-dimensional periodic geometry

Geophysical and Astrophysical Fluid Dynamics

Volumn 93, Issue 1-2, 2000, Pages 115-142

  Heerikhuisen, J ^a   Craig, I J D ^a   Watson, P G ^a  

^a UNIVERSITY OF WAIKATO   (New Zealand)

Author keywords

Osculation; Reconnection; X lines

Indexed keywords

COMPUTER SIMULATION; INCOMPRESSIBLE FLOW; OPEN CHANNEL FLOW; SHEAR FLOW;

PERIODIC GEOMETRIES;

FLUID DYNAMICS;

ELECTRIC FIELD; FLUID FLOW; MAGNETIC FIELD;

GEODYNAMO; GEOMAGNETIC FIELD;

EID: 0034444201     PISSN: 03091929     EISSN: None     Source Type: Journal    
DOI: 10.1080/03091920008203724     Document Type: Article

References (27)

1. Biskamp, D., Nonlinear magnetohydrodynamics. Cambridge: Cambridge University Press (1993).
2. Biskamp, D., "Magnetic reconnection," Phys. Reports 237, 181 (1994).
3. Craig, I. J. D. and Fabling, R. B., "Exact solutions for steady-state, spine and fan reconnection," Astrophys. J. 462, 969 (1996).
4. Craig, I. J. D. and Fabling, R. B., "Dynamic magnetic reconnection in three space dimensions: Fan current solutions," Phys. Plasmas 5, 635 (1998).
5. Craig, I. J. D. and Henton, S. M., "Exact solutions for steady-state incompressible magnetic reconnection," Astrophys. J. 450, 280 (1995).
6. Craig, I. J. D. and Watson, P. G., "Dynamic planar magnetic reconnection solutions for incompressible plasmas," Astrophys. J. 516, 924 (1999).
7. Craig, I. J. D. and Watson, P. G., "Flare-like energy release by flux pile-up reconnection," Solar Phys. 191, 361 (2000a).
8. Craig, I. J. D. and Watson, P. G., "Optimized magnetic reconnection solutions in three dimensions," Solar Phys. 194, 251 (2000b).
9. DeLuca, E. E. and Craig, I. J. D., "Magnetic reconnection in incompressible fluids," Astrophys. J. 390, 679 (1992).
10. Forbes, T. G. and Priest, E. R., "A comparison of analytical and numerical models for steadily driven magnetic reconnection," Rev. Geophys. 25, 1587 (1987).
11. Furth, H. P., Killeen, J. and Rosenbluth, M. N., "Finite resistivity instabilities of a sheet pinch," Phys. Fluids 6, 459 (1963).
12. Greene, J. M., "Geometrical properties of three-dimensional reconnecting magnetic fields with nulls," J. Geophys. Res. 93, 8583 (1988).
13. Lau, Y. T. and Finn, J. M., "Three-dimensional kinematic reconnection in the presence of field nulls and closed field lines," Astrophys. J. 350, 672 (1990).
14. Litvinenko, Y. E. and Craig, I. J. D., "Magnetic energy release in flux pile-up merging," Solar Phys. 189, 315 (1999).
15. Longcope, D. W. and Strauss, H. R., "The coalescence instability and the development of current sheets in two-dimensional magnetohydrodynamics," Phys. Fluids B 5, 2858 (1993).
16. Parker, E. N., Spontaneous current sheets in magnetic fields. Oxford: Oxford University Press (1994).
17. Priest, E. R. and Cowley, S. W. H., "Some comments on magnetic field reconnection," J. Plasma Phys. 14, 271 (1975).
18. Schindler, K., Hesse, M. and Birn, J., "General magnetic reconnection, parallel electric fields, and helicity," J. Geophys. Res. 93, 5547 (1988).
19. Sonnerup, B. U. Ö. and Priest, E. R., "Resistive MHD stagnation-point flows at a current sheet," J. Plasma Phys. 14, 283 (1975).
20. Spicer, D. S., "An unstable arch model of a solar flare," Solar Phys. 53, 305 (1977).
21. Sweet, P. A., "Mechanisms of solar flares," Annual Rev. Astron. Astrophys. 8, 188 (1969).
22. Uzdensky, D. A. and Kulsrud, R. M., "On the viscous boundary layer near the center of the resistive reconnection region," Phys. Plasmas 5, 3249 (1998).
23. van Hoven, G., "Solar flare magnetohydrodynamics" (Ed. Priest, E. R.), Chapter 4, New York: Gordon and Breach (1981).
24. Vasyliunas, V. M., "Theoretical models of magnetic line merging," Rev. Geophys. 13, 303 (1975).
25. Watson, P. G. and Craig, I. J. D., "Analytic solutions of the magnetic annihilation and reconnection problems. Part I: Planar flow profiles," Phys. Plasmas 4, 101 (1997a).
26. Watson, P. G. and Craig, I. J. D., "Analytic solutions of the magnetic annihilation and reconnection problems. Part II: Three-dimensional flows," Phys. Plasmas 4, 110 (1997b).
27. Watson, P. G., Priest, E. R. and Craig, I. J. D., "The roles of advection and diffusion in planar magnetic merging solutions," Geophys. Astrophys. Fluid Dynam. 88, 165 (1998).