An adaptive MHD method for global space weather simulations

IEEE Transactions on Plasma Science

Volumn 28, Issue 6, 2000, Pages 1956-1965

  De Zeeuw, Darren L ^a   Gombosi, Tamas I ^a   Groth, Clinto P T ^a   Powell, Kenneth G ^a   Stout, Quentin F ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EXTRATERRESTRIAL ATMOSPHERES; FINITE VOLUME METHOD; MAGNETOPLASMA; MAGNETOSPHERE; PARTIAL DIFFERENTIAL EQUATIONS; SPACE RESEARCH;

ADAPTIVE MESH REFINEMENT (AMR); SPACE WEATHER;

MAGNETOHYDRODYNAMICS;

EID: 0034461039     PISSN: 00933813     EISSN: None     Source Type: Journal    
DOI: 10.1109/27.902224     Document Type: Article

References (63)

1. J. N. LeBoeuf, T. Tajima, C. F. Kennel, and J. M. Dawson, "Global simulations of the three-dimensional magnetosphere," Geophys. Res. Lett., vol. 8, p. 257, 1981.
2. C. C. Wu, R. J. Walker, and J. M. Dawson, "A three-dimensional MHD model of the Earth's magnetosphere," Geophys. Res. Lett., vol. 8, p. 523, 1981.
3. S. H. Brecht, J. Lyon, J. A. Fedder, and K. Hain, "A simulation study of east-west IMF effects on the magnetosphere," Geophys. Res. Lett., vol. 8, p. 397, 1981.
4. _, "A time-dependent three-dimensional simulation of the earth's magnetosphere: Reconnection events," J. Geophys. Res., vol. 87, p. 6098, 1982.
5. T. Ogino and R. J. Walker, "A magnetohydrodynamic simulation of the bifurcation and tail lobes during intervals with a northward interplanetary magnetic field," Geophys. Res. Lett., vol. 11, p. 1018, 1984.
6. J. G. Lyon, J. A. Fedder, and J. G. Huba, "The effect of different resistivity models on magnetotail dynamics," J. Geophys. Res., vol. 91, p. 8057, 1986.
7. K. Watanabe and T. Sato, "Global simulation of the solar windmagnetosphere interaction: The importance of its numerical validity," J. Geophys. Res., vol. 95, p. 75, 1990.
8. R. M. Winglee, "Non-MHD influences on the magnetospheric current system," J. Geophys. Res., vol. 99, p. 13,437, 1994.
9. T. Tanaka, "Generation mechanisms for magnetosphere-ionosphere current systems deduced from a three-dimensional MHD simulation of the solar wind-magnetosphere-ionosphere coupling process," J. Geophys. Res., vol. 100, p. 12057, 1995.
10. J. Raeder, R. J. Walker, and M. Ashour-Abdalla, "The structure of the distant geomagnetic tail during long periods of northward IMF," Geophys. Res. Lett., vol. 22, p. 349, 1995.
11. P. Janhunen, "GUMICS-3: A global ionosphere-magnetosphere coupling simulation with high ionospheric resolution," in P roc. ESA 1996 Symposium on Environment Modeling for Space-Based Applications, 1996, ESA SP-392, pp. 233-239.
12. W. W. White, G. L. Siscoe, G. M. Erickson, Z. Kaymaz, N. C. Maynard, K. D. Siebert, B. U. Ö. Sonnerup, and D. R. Weimer, "The magnetospheric sash and the cross-tail S," Geophys. Res. Lett., vol. 25, p. 1605, 1998.
13. K. G. Powell, P. L. Roe, T. J. Linde, T. I. Gombosi, and D. L. DeZeeuw, "A solution-adaptive upwind scheme for ideal magnetohydrodynamics," J. Comput. Phys., vol. 154, p. 284, 1999.
14. J. A. Fedder, S. P. Slinker, J. G. Lyon, and R. D. Elphinstone, "Global numerical simulation of the growth phase and the expansion onset for a substorm observed by Viking," J. Geophys. Res., vol. 100, p. 19083, 1995.
15. J. A. Fedder, S. P. Slinker, and J. G. Lyon, "A comparison of global numerical simulation results to data for the January 27-28, 1992, Geospace Environment Modeling challenge eventpo," J. Geophys. Res., vol. 103, p. 14799, 1998.
16. J. Raeder, J. Berchem, and M. Ashour-Abdalla, "The geospace environment modeling grand challenge: Results from a global geospace circulation model," J. Geophys. Res., vol. 103, p. 14787, 1998.
17. B. van Leer, "Toward the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method," J. Comput. Phys.. vol. 32, p. 101, 1979.
18. C. R. Evans and J. F Hawley, "Simulation of magnetohydrodynamic flows: A constrained transport method," Astrophysical Journal, vol. 332, p. 6597, 1988.
19. K. G. Powell, "An approximate Riemann solver for magnetohydrodynamics (that works in more than one dimension)," Tech. Rep. 94-24, ICASE, Langley, VA, 1994.
20. S. K. Godunov, "Symmetric form of the equations of magnetohydrodynamics" (in in Russian), in Numerical Methods for Mechanics of Continuum Medium: Siberian Branch of USSR Academy of Sciences, 1972. vol. 1, pp. 26-34.
21. W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism. Reading, MA: Addison Wesley, 1955.
22. J. D. Jackson, Classical Electrodynamics. New York: Wiley, 1975.
23. J. U. Brackbill and D. C. Barnes, "The effect of nonzero V B on the numerical solution of the magnetohydrodynamic equations," J. Comput. Phys., vol. 35, p. 426, 1980.
24. P. D. Lax, "Weak solution of nonlinear hyperbolic equations and their numerical computation," Communications on Pure and Applied Mathematics, vol. 7, pp. 159-193, 1954.
25. P. D. Lax and B. Wendroff, "Systems of conservation laws," Communications on Pure and Applied Mathematics, vol. 13, p. 217, 1960.
26. S. K. Godunov, "A difference scheme for numerical computation of discontinuous solutions of hydrodynamic equations" (in Russian), Mat. Sk, vol. 47, p. 271, 1959.
27. P. D. Lax, "Hyperbolic systems of conservation laws and the mathematical theory of shock waves," in CMBS-NSF Regional Conference Series in Applied Mathematics. Philadelphia: Society for Industrial and Applied Mathematics, 1973, vol. 11.
28. B. van Leer, "Toward the ultimate conservative difference scheme. I. The quest of monoticity," Lecture Notes in Physics, vol. 18, p. 163, 1973.
29. _, "Toward the ultimate conservative difference scheme. II. Monoticity and conservation combined in a second-order scheme," J. Comput. Phys., vol. 14, p. 361, 1974.
30. _, "Toward the ultimate conservative difference scheme. III. Upstream-centered finite-difference schemes for ideal compressible flow," J. Comput. Phys., vol. 23, p. 263, 1977.
31. _, "Toward the ultimate conservative difference scheme. IV A new approach to numerical convection," J. Comput. Phys., vol. 23, p. 276, 1977.
32. A. Harten, "The artificial compression method for computation of shocks and contact discontinuities: III. Self-adjusting hybrid schemes," Math. Comput., vol. 32, p. 363, 1976.
33. P. L. Roe, "Approximate Riemann solvers, parameter vectors, and difference schemes," J. Comput. Phys., vol. 43, p. 357, 1981.
34. S. Osher, "Riemann solvers, the entropy condition, and difference approximations," SIAM J. Numer. Anal., vol. 21, p. 217, 1984.
35. P. Woodward and P. Colella, "The piecewise paraolic method for gas dynamical calculations," J. Comput. Phys., vol. 32, p. 101, 1979.
36. S. K. Chakravarthy, A. Harten, and S. Osher, "Essentially nonoscil-latory shock-capturing schemes of arbitrarily-high accuracy," Paper 86-0339, AIAA, 1986.
37. A. Harten, P. D. Lax, and B. van Leer, "On upstream differencing and Godunov-type schemes for hyperbolic conservation laws," SIAM Rev., vol. 25, p. 35, 1983.
38. C. P. T. Groth, D. L. De Zeeuw, K. G. Powell, T. I. Gombosi, and Q. F Stout, "A parallel solution-adaptive scheme for ideal magnetohydrodynamics," in Proc. AIAA 14th Computational Fluid Dynamics Conference, June 1999, Paper no. 99-3273.
39. C. P. T. Groth, D. L. De Zeeuw, T. I. Gombosi, and K. G. Powell, "Global 3D MHD simulation of a space weather event: CME formation, interplanetary propagation, and interaction with the magnetosphere," J. Geophys. Res., 2000, to be published.
40. C. R. Clauer, T. I. Gombosi, D. L. De Zeeuw, A. J. Ridley, K. G. Powell, B. van Leer, Q. F. Stout, C. P. T. Groth, T. E. Holzer, and R. A. Wolf, "High-performance computer methods applied to predictive space weather simulations," IEEE Trans. Plasma Sci., 2000.
41. T. I. Gombosi, D. L. De Zeeuw, R. M. Häberli, and K. G. Powell, "Three-dimensional multiscale MHD model of cometary plasma environments," J. Geophys. Res., vol. 101, p. 15233, 1996.
42. R. M. Häberli, T. I. Gombosi, D. L. DeZeuuw, M. R. Combi, and K. G. Powell, "Modeling of cometary x-rays caused by solar wind minor ions," Science, vol. 276, p. 939, 1997.
43. R. Bauske, A. F. Nagy, T. I. Gombosi, D. L. De Zeeuw, K. G. Powell, and J. G. Luhmann, "A three-dimensional MHD study of solar wind mass loading processes at Venus: Effects of photoionization, electron impact ionization, and charge exchange," J. Geophys. Res., vol. 103, p. 23625, 1998.
44. M. R. Combi, K. Kabin, T. I. Gombosi, D. L. De Zeeuw, and K. G. Powell, "lo's plasma environment during the Galileo flyby: Global three-dimensional MHD modeling with adaptive mesh refinement," J. Geophys. Res., vol. 103, p. 9071, 1998.
45. P. Song, D. L. De Zeeuw, T. I. Gombosi, C. P. T. Groth, and K. G. Powell, "A numerical study of solar wind-Magnetosphere interaction for northward IMF," J. Geophys. Res., vol. 104, p. 28361, 1999.
46. T. I. Gombosi, K. G. Powell, and B. van Leer, "Comment on "Modeling the magnetosphere for northward interplanetary magnetic field: Effects of electrical resistivity" by Joachim Raeder," J. Geophys. Res., vol. 105, 2000, to be published.
47. C. P. T. Groth, D. L. De Zeeuw, T. I. Gombosi, and K. G. Powell, "Three-dimensional MHD simulation of coronal mass ejections," Adv. Space Res., 1998, to be published.
48. T. I. Gombosi, D. L. De Zeeuw, C. P. T. Groth, K. G. Powell, and Q. F. Stout, "Multiscale MHD simulation of a coronal mass ejection and its interaction with the magnetosphere-ionosphere system," J. Atmos. Solar-Terr. Phys., 2000, to be published.
49. T. J. Linde, T. I. Gombosi, P. L. Roe, K. G. Powell, and D. L. De Zeeuw, "The heliosphere in the magnetized local interstellar medium: Results of a 3D MHD simulation," J. Geophys. Res., vol. 103, p. 1889, 1998.
50. T. I. Gombosi, D. L. De Zeeuw, C. P. T. Groth, K. C. Hansen, K. Kabin, and K. G. Powell, "MHD simulations of current systems in planetary magnetospheres: Mercury and Saturn," in Magnetospheric Current Systems, R. Fujii, M. Hesse, R. Lysak, and S. Ohtani, Eds., Aug. 1999, to be published.
51. K. Kabin, T. I. Gombosi, D. L. De Zeeuw, and K. G. Powell, "Interaction of mercury with the solar wind," Icarus, vol. 143, p. 397, 2000.
52. T. I. Gombosi, D. L. De Zeeuw, C. P. T. Groth, K. G. Powell, and P. Song, "The length of the magnetotail for northward IMF: Results of 3D MHD simulations," in Phys. Space Plasmas (1998), vol. 15, T. Chang and J. R. Jasperse, Eds, 1998, pp. 121-128.
53. T. I. Gombosi, D. L. De Zeeuw, C. P. T. Groth, and K. G. Powell, "Magnetospheric configuration for parker-spiral IMF conditions: Results of a 3D AMR MHD simulation," Adv. Space Res., vol. 21, no. 1, p. 139, 2000.
54. Y. Liu, A. F. Nagy, C. P. T. Groth, D. L. De Zeeuw, T. I. Gombosi, and K. G. Powell, "3D multi-fluid MHD studies of the solar wind interaction with Mars," Geophys. Res. Lett., vol. 26, p. 2689, 1999.
55. K. C. Hansen, T. I. Gombosi, D. L. DeZeeuw, C. P. T. Groth, and K. G. Powell, "A 3D global MHD simulation of Saturn's magnetosphere," Adv. Space Res., 1999, to be published.
56. P. L. Israelevich, T. I. Gombosi, A. I. Ershkovich, D. L. DeZeeuw, F. M. Neubauer, and K. G. Powell, "The induced magnetosphere of comet Halley, 4: Comparison of in situ observations and numerical simulations," J. Geophys. Res., vol. 104, p. 28309, 1999.
57. K. Kabin, M. R. Combi, T. I. Gombosi, A. F. Nagy, D. L. De Zeeuw, and K. G. Powell, "On Europa's magnetospheric interaction: An MHD simulation of the E4 flyby," J. Geophys. Res., vol. 104, p. 19983, 1999.
58. K. Kabin, T. I. Gombosi, D. L. DeZeeuw, K. G. Powell, and P. L. Israelevich, "Interaction of the Saturnian magnetosphere with Titan: Results of a 3D MHD simulation," J. Geophys. Res., vol. 104, p. 2451, 1999.
59. M. L. Goodman, "A three-dimensional iterative, mapping procedure for the implementation of an ionosphere-magnetosphere anisotropic Ohm's law boundary condition in global magnetohydrodynamic simulations," Annales Geophysicae, vol. 13, p. 843, 1995.
60. O. Amm, "Comment on "A three-dimensional, iterative, mapping procedure for the implementation of an ionosphere-magnetosphere anisotropic Ohm's law boundary condition in global magnetohydrodynamic simulations" by Michael L. Goodman," Annales Geophysicae, vol. 14, p. 773, 1996.
61. Z. Kaymaz, G. L. Siscoe, J. G. Luhmann, R. P. Lepping, and C. T. Russell, "Interplanetary magnetic field control of magnetotail magnetic geometry: IMP 8 observations," J. Geophys. Res., vol. 99, p. 11 113, 1994.
62. Z. Kaymaz and G. L. Siscoe, "Open geometry of the magnetotail cross section," J. Geophys. Rees., vol. 103, p. 14829, 1998.
63. J. H. B. Smith, "Remarks on the structure of conical flow," Progress in Aerospace Sciences, vol. 12, p. 241, 1972.