Numerical considerations in simulating the global magnetosphere

Annales Geophysicae

Volumn 28, Issue 8, 2010, Pages 1589-1614

  Ridley, A J ^a   Gombosi, T I ^a   Sokolov, I V ^a   Toth G ^a   Welling, D T ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITION; COMPUTER SIMULATION; EQUATION; IONOSPHERE; MAGNETOHYDRODYNAMICS; MAGNETOSPHERE; NUMERICAL METHOD;

EID: 77956297178     PISSN: 09927689     EISSN: 14320576     Source Type: Journal    
DOI: 10.5194/angeo-28-1589-2010     Document Type: Article

References (113)

1. Abe, T., Whalen, B. A., Yau, A. W., Watanabe, S., Sagawa, E., and Oyama, K. I.: Altitude profile of the polar wind velocity and its relationship to ionospheric conditions, Geophys. Res. Lett., 20, 2825, doi:10.1029/93GL02837, 1993.
2. Bekerat, H., Schunk, R., Scheirles, L., and Ridley, A.: Comparison of satellite ion drift velocities with AMIE derived convection patterns, J. Atmos. Sol-Terr. Phys., 67, 1463-1479, 2005.
3. Boris, J. P.: A physically motivated solution of the Alfv́en problem, Tech. Rep. NRL Memorandum Report 2167, Naval Research Laboratory, Washington, D.C., 1970.
4. Boyle, C., Reiff, P., and Hairston, M.: Empirical polar cap potentials, J. Geophys. Res., 102, 111-126, 1997.
5. Carpenter, D. L., Stone, K., Siren, J. C., and Crystal, T. L.: Magnetospheric Electric Fields Deduced from Drifting Whistler Paths, J. Geophys. Res., 77, 2819, doi:10.1029/JA077i016p02819, 1972.
6. De Zeeuw, D. L., Sazykin, S., Wolf, R. A., Gombosi, T. I., Ridley, A. J., and T́oth, G.: Coupling of a global MHD code and an inner magnetospheric model: Initial results, J. Geophys. Res., 109, A12219, doi:10.1029/2003JA010366, 2004.
7. Dorelli, J. C.: On the generation and topology of Flux Transfer Events, AGU Fall Meeting Abstracts, pp. B462+, 2007.
8. Fairfield, D. H., Kuznetsova, M. M., Mukai, T., Nagai, T., Gombosi, T. I., and Ridley, A. J.: Waves on the dusk flank boundary layer during very northward interplanetary magnetic field conditions: Observations and simulation, J. Geophys. Res., 112, 8206, doi:10.1029/2006JA012052, 2007.
9. Fedder, J. and Lyon, J.: The solar wind - magnetosphere - ionosphere current - voltage relationship, Geophys. Res. Lett., 14, 880-883, 1987.
10. Fedder, J., Slinker, S., and Lyon, J.: A comparison of global numerical simulation to data for the January 27-28, 1992, Geospace Environment Modeling challenge event, J. Geophys. Res., 103, 14799-14810, 1998.
11. Glocer, A., T́oth, G., Gombosi, T. I., and Welling, D.: Modeling ionospheric outflows and their impact on the magnetosphere, J. Geophys. Res., 114, A05216, doi:10.1029/2009JA014053, 2009.
12. Gombosi, T., Powell, K. G., Zeeuw, D. L. D., Clauer, R., Hansen, K. C., Manchester, W. B., Ridley, A., Roussev, I. I., Sokolov, I. V., Stout, Q. F., and T́oth, G.: Solution-Adaptive Magnetohydro-dynamics for Space Plasmas: Sun-to-Earth Simulations, Computing in Science and Engineering, Frontiers of Simulation, p. 14, 2004.
13. Gombosi, T. I. and Nagy, A.: Time-Dependent Modeling of Field Aligned Current-Generated Ion Transients in the Polar Wind, J. Geophys. Res., 94, 359-369, 1989.
14. Gombosi, T. I., Hansen, K. C., De Zeeuw, D. L., Combi, M. R., and Powell, K. G.: MHD simulation of comets: the plasma environment of comet Hale-Bopp, Earth, Moon and Planets, 79, 179-207, 1999.
15. Gombosi, T. I., T́oth, G., De Zeeuw, D. L., Hansen, K. C., Kabin, K., and Powell, K. G.: Semi-relativistic magnetohydrodynamics and physics-based convergence acceleration, J. Comput. Phys., 177, 176-205, 2002.
16. Goodman, M. L.: A three-dimensional, iterative mapping procedure for the implementation of an ionosphere-magnetosphere anisotropic Ohm's law boundary condition in global magnetohydrodynamic simulations, Ann. Geophys., 13, 843-853, doi:10.1007/s00585-995-0843-z, 1995.
17. Hairston, M., Hill, T., and Heelis, R.: Observed saturation of the ionospheric polar cap potential during the 31 March 2001 storm, Geophys. Res. Lett., 30, 1325, doi:10.1029/2002GL015894, 2003.
18. Hansen, K., Ridley, A., Gombosi, T., and Hospodarsky, G.: Global simulations of Saturn's magnetosphere at the time of Cassini approach, Geophys. Res. Lett., 32, L20S06, doi:10.1029/2005GL022835, 2005.
19. Hansen, K. C., Gombosi, T. I., DeZeeuw, D. L., Groth, C. P. T., and Powell, K. G.: A 3D global MHD simulation of Saturn's magnetosphere, Adv. Space Res., 26, 1681-1690, 2000.
20. Harnett, E. M. and Winglee, R. M.: High-resolution multi-fluid simulations of the plasma environment near the Martian magnetic anomalies, J. Geophys. Res., 112, 5207, doi:10.1029/2006JA012001, 2007.
21. Janhunen, P.: GUMICS-3: A global ionosphere-magnetosphere coupling simulation with high ionospheric resolution, in: Proceedings of the ESA 1996 Symposium on Environment Modelling for Space-Based Applications, pp. 233-239, ESA SP-392, 1996.
22. Kabin, K., Gombosi, T. I., De Zeeuw, D. L., and Powell, K. G.: Interaction of Mercury with the solar wind, Icarus, 143, 397-406, 2000.
23. Kabin, K., Combi, M. R., Gombosi, T. I., De Zeeuw, D. L., Hansen, K. C., and Powell, K. G.: Io's magnetospheric interaction: an MHD model with day-night asymmetry, PSS, 49, 337-344, 2001.
24. Kabin, K., Rankin, R., Marchand, R., Rae, J., Gombosi, T., Clauer, C., Ridley, A. J., Papitashvili, V., and Zeeuw, D. D.: Dynamic response of the Earth's magnetosphere to By reversals, J. Geophys. Res., 108, 1132, doi:10.1029/2002JA009480, 2003.
25. Kabin, K., Rankin, R., Marchand, R., Rae, J., Ridley, A. J., Gombosi, T. I., Clauer, C. R., and De Zeeuw, D. L.: Openclosed field line boundary position: A parametric study using an MHD model, J. Geophys. Res., 109, A05222, doi:10.1029/ 2003JA010168, 2004.
26. Kelly, J.: Sondrestrom radar - Initial results, Geophys. Res. Lett., 10, 1112-1115, 1983.
27. Kihn, E. A., Redmon, R., Ridley, A. J., and Hairston, M. R.: A statistical comparison of the AMIE derived and DMSP-SSIES observed high-latitude ionospheric electric field, J. of Geophys. Res., 111, 8303, doi:10.1029/2005JA011310, 2006.
28. Koren, B.: A robust upwind discretisation method for advection, diffusion and source terms, in: Numerical Methods for Advection-Diffusion Problems, edited by: Vreugdenhil, C. and Koren, B., p. 117, Vieweg, Braunschweig, 1993.
29. Kuznetsova, M., Sibeck, D. G., Hesse, M., Wang, Y., Rastaetter, L., Toth, G., and Ridley, A.: Cavities of weak magnetic field strength in the wake of FTEs: Results from global magnetospheric MHD simulations, Geophys. Res. Lett., 36, L10104, doi:10.1029/2009GL037489, 2009.
30. Kuznetsova, M. M., Hesse, M., Rastätter, L., Taktakishvili, A., Toth, G., De Zeeuw, D. L., Ridley, A., and Gombosi, T. I.: Multiscale modeling of magnetospheric reconnection, J. Geophys. Res., 112, 10210, doi:10.1029/2007JA012316, 2007.
31. Liemohn, M., Kozyra, J., Zurbuchen, T., Ridley, A., Lu, G., Hairston, M., and Weimer, D.: Consequences of a saturated convection electric field on the ring current, Geophys. Res. Lett., 29, 1348, doi:10.1029/2001GL014270, 2002.
32. Liemohn, M., Ridley, A., Brandt, P., Gallagher, D., Kozyra, J., Ober, D., Mitchell, D., Roelof, E., and Demajistre, R.: Parametric analysis of nightside conductance effects on inner magnetospheric dynamics for the 17 April 2002 storm, J. Geophys. Res., 110, A12S22, doi:10.1029/2005JA011109, 2005.
33. Linde, T. J., Gombosi, T. I., Roe, P. L., Powell, K. G., and De Zeeuw, D. L.: The Heliosphere in the Magnetized Local Interstellar Medium: Results of a 3D MHD Simulation, J. Geophys. Res., 103, 1889-1904, 1998.
34. Lyon, J., Fedder, J., and Mobarry, C.: The Lyon-Fedder-Mobarry (LFM) global MHD magnetospheric simulation code, J. Atmos. Sol.-Terr. Phys., 66, 1333, doi:10.1016/j.jastp.2004.03.020, 2004.
35. Ma, Y., Nagy, A., Sokolov, I., and Hansen, K.: Three-dimensional, multispecies, high spatial resolution MHD studies of the solar wind interaction with Mars, J. Geophys. Res., 109, A07211, doi: A07211,10.1029/2003JA010367, 2004.
36. Ma, Y. J., Russell, C. T., Nagy, A. F., Toth, G., Bertucci, C., Dougherty, M. K., Neubauer, F. M.,Wellbrock, A., Coates, A. J., Garnier, P.,Wahlund, J.-E., Cravens, T. E., and Crary, F. J.: Timedependent global MHD simulations of Cassini T32 flyby: From magnetosphere to magnetosheath, J. Geophys. Res., 114, 03204, doi:10.1029/2008JA013676, 2009.
37. Manchester, W., Gombosi, T., Ridley, A., Roussev, I., Zeeuw, D. D., Sokolov, I., Powell, K., and T́oth, G.: Modeling a space weather event from the Sun to the Earth: CME generation and interplanetary propagation, J. Geophys. Res., 109, 02107, doi:10.1029/2003JA010150, 2004a.
38. Manchester, IV,W., Gombosi, T., De Zeeuw, D., and Fan, Y.: Eruption of a Buoyantly Emerging Magnetic Flux Rope, Astrophysical Journal, 610, 588-596, 2004b.
39. Manchester, IV, W., Gombosi, T., Roussev, I., De Zeeuw, D., Sokolov, I., Powell, K., Toth, G., and Opher, M.: Three-Dimensional MHD Simulation of a Flux Rope Driven CME, J. Geophys. Res., 109, A01102, doi:10.1029/2002JA009672, 2004c.
40. Moore, T. E., Fok, M.-C., Delcourt, D. C., Slinker, S. P., and Fedder, J. A.: Global aspects of solar wind ionosphere interactions, J. Atmos. Sol.-Terr. Phys., 69, 265-278, doi:10.1016/j.jastp.2006.08.009, 2007.
41. Nagai, T.: Location of Magnetic Reconnection in the Magnetotail, Space Sci. Rev., 122, 39-54, doi:10.1007/s11214-006-6216-4, 2006.
42. Nagai, T., Shinohara, I., Fujimoto, M., Hoshino, M., Saito, Y., Machida, S., and Mukai, T.: Geotail observations of the Hall current system: Evidence of magnetic reconnection in the magnetotail, J. Geophys. Res., 106, 25929, doi:10.1029/2001JA900038, 2001.
43. Nagai, T., Fujimoto, M., Nakamura, R., Baumjohann, W., Ieda, A., Shinohara, I., Machida, S., Saito, Y., and Mukai, T.: Solar wind control of the radial distance of the magnetic reconnection site in the magnetotail, J. Geophys. Res., 110, 9208, doi:10.1029/2005JA011207, 2005.
44. Nośe, M., Taguchi, S., Christon, S. P., Collier, M. R., Moore, T. E., Carlson, C. W., and McFadden, J. P.: Response of ions of ionospheric origin to storm time substorms: Coordinated observations over the ionosphere and in the plasma sheet, J. Geophys. Res., 114, 5207, doi:10.1029/2009JA014048, 2009.
45. Ogino, T. and Walker, R. J.: A magnetohydrodynamic simulation of the bifurcation of tail lobes during intervals with a northward interplanetary magnetic field, Geophys. Res. Lett., 11, 1018, doi:10.1029/GL011i010p01018, 1984.
46. Ogino, T., Walker, R. J., Ashour-Abdalla, M., and Dawson, J. M.: An MHD simulation of By-dependent magnetospheric convection and field-aligned currents during northward IMF, J. Geophys. Res., 90, 10835, doi:10.1029/JA090iA11p10835, 1985.
47. Ogino, T.,Walker, R. J., and Kivelson, M. G.: A global magnetohydrodynamic simulation of the Jovian magnetosphere, J. Geophys. Res., 103, 225, doi:10.1029/97JA02247, 1998.
48. Opher, M., Liewer, P., Gombosi, T., Manchester, IV, W., De Zeeuw, D., Sokolov, I., and Toth, G.: Probing the Edge of the Solar System: Formation of an Unstable Jet-Sheet, Astrophysical Journal, L61, 561, doi:10.1086/37690, 2003.
49. Palmroth, M., Janhunen, P., Pulkkinen, T., and Peterson, W.: Cusp and magnetopause locations in global MHD simulation, J. Geophys. Res., 106, 29435, doi:10.1029/2001JA900132, 2001.
50. Palmroth, M., Pulkkinen, T., Janhunen, P., and Wu, C.-C.: Stormtime energy transfer in global MHD simulation, J. Geophys. Res., 108, 1048, doi:101029/2002JA009446, 2003.
51. Palmroth, M., Janhunen, P., Pulkkinen, T. I., and Koskinen, H. E. J.: Ionospheric energy input as a function of solar wind parameters: global MHD simulation results, Ann. Geophys., 22, 549-566, doi:10.5194/angeo-22-549-2004, 2004.
52. Palmroth, M., Janhunen, P., Pulkkinen, T. I., Aksnes, A., Lu, G., stgaard, N., Watermann, J., Reeves, G. D., and Germany, G. A.: Assessment of ionospheric Joule heating by GUMICS-4 MHD simulation, AMIE, and satellite-based statistics: towards a synthesis, Ann. Geophys., 23, 2051-2068, doi:10.5194/angeo-23-2051-2005, 2005.
53. Powell, K., Roe, P., Linde, T., Gombosi, T., and De Zeeuw, D. L.: A solution-adaptive upwind scheme for ideal magnetohydrodynamics, J. Comp. Phys., 154, 284-309, 1999a.
54. Powell, K. G., Roe, P. L., Linde, T. J., Gombosi, T. I., and Zeeuw, D. L. D.: A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics, J. Comput. Phys., 154, 284-309, 1999b.
55. Raeder, J., Berchem, J., and Ashour-Abdalla, M.: The importance of small scale processes in global MHD simulations: Some numerical experiments, in: The Physics of Space Plasmas, edited by Chang, T. and Jasperse, J. R., vol. 14, p. 403, MIT Cent. for Theoret. Geo/Cosmo Plasma Phys., Cambridge, Mass., 1996.
56. Raeder, J., Berchem, J., Ashour-Abdalla, M., Frank, L., Paterson, W., Ackerson, K., Kokubun, S., Yamamoto, T., and Slavin, J.: Boundary layer formation in the magnetotail: Geotail observations and comparisons with a global MHD simulation, Geophys. Res. Lett., 24, 951-954, 1997.
57. Raeder, J., J.Berchem, and Ashour-Abdalla, M.: The Geospace Environment Modeling Grand Challenge: Results from a Global Geospace Circulation Model, J. Geophys. Res., 103, 14787-14798, 1998.
58. Raeder, J., McPherron, R., Frank, L., Kokubun, S., Lu, G., Mukai, T., Paterson, W., Sigwarth, J., Singer, H., and Slavin, J.: Global simulation of the Geospace Environment Modeling substorm challenge event, J. Geophys. Res., 106, 281, doi:10.1029/2000JA000605, 2001a.
59. Raeder, J., Wang, Y., and Fuller-Rowell, T.: Geomagnetic storm simulation with a coupled magnetosphere-ionospherethermosphere model, in: Space Weather, edited by Song, P., Singer, H., and Siscoe, G., vol. 125 of "Geophysical Monograph Series", p. 377, AGU, Washington D.C., 2001b.
60. Rich, F. and Hairston, M.: Large-scale convection patterns observed by DMSP, J. Geophys. Res., 99, 3827-3844, 1994.
61. Richmond, A. and Kamide, Y.: Mapping Electrodynamic features of the high-latitude ionosphere from localized observations: Technique, J. Geophys. Res., 93, 5741-5759, 1988.
62. Ridley, A. J.: A new formulation for the ionospheric cross polar cap potential including saturation effects, Ann. Geophys., 23, 3533-3547, doi:10.5194/angeo-23-3533-2005, 2005.
63. Ridley, A.: The magnetosphere and ionosphere during sub-Alfv́enic solar wind conditions, Ann. Geophys., 25, 533-542, doi:10.5194/angeo-25-533- 2007, 2007.
64. Ridley, A., Hansen, K., T́oth, G., De Zeeuw, D. L., Gombosi, T., and Powell, K.: University of Michigan MHD results of the GGCM Metrics challenge, J. Geophys. Res., 107(A10), 1290, doi:10.1029/2001JA000253, 2002.
65. Ridley, A., Gombosi, T., De Zeeuw, D. L., Clauer, C., and Richmond, A.: Ionospheric control of the magnetospheric configuration: Thermospheric Neutral winds, J. Geophys. Res., 108, 1328, doi:10.1029/2002JA009464, 2003.
66. Ridley, A. J., Gombosi, T. I., and DeZeeuw, D. L.: Ionospheric control of the magnetosphere: conductance, Ann. Geophys., 22, 567-584, doi:10.5194/angeo-22-567-2004, 2004.
67. Ridley, A., De Zeeuw, D., Manchester, W., and Hansen, K.: The magnetospheric and ionospheric response to a very strong interplanetary shock and coronal mass ejection, Adv. Space Res., 38, 263-272, 2006.
68. Roe, P. L.: Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes, J. Comput. Phys., 43, 357-372, 1981.
69. Ruohoniemi, J. and Greenwald, R.: Statistical patterns of the highlatitude convection obtained from Goose Bay HF radar observations, J. Geophys. Res., 101, 21743-21764, 1996.
70. Rusanov, V.: Calculation of interaction of non-steady shock waves with obstacles, J. Comp. Math. and Phys., 1, 267-279, 1961.
71. Sazykin, S., Wolf, R. A., Spiro, R. W., Gombosi, T. I., Zeeuw, D. L. D., and Thomsen, M. F.: Interchange instability in the inner magnetosphere associated with geosynchronous particle flux decreases, Geophys. Res. Lett., 29, 1448, doi:10.1029/ 2001GL014416, 2002.
72. Sergeev, V. A., Sauvaud, J.-A., Popescu, D., Kovrazhkin, R. A., Liou, K., Newell, P. T., Brittnacher, M., Parks, G., Nakamura, R., Mukai, T., and Reeves, G. D.: Multiple-spacecraft observation of a narrow transient plasma jet in the Earth's plasma sheet, Geophys. Res. Lett., 27, 851-854, 2000.
73. Shay, M. A., Drake, J. F., Swisdak, M., and Rogers, B. N.: The scaling of embedded collisionless reconnection, Physics of Plasmas, 11, 2199-2213, doi:10.1063/1.1705650, 2004.
74. Shue, J.-H., Chao, J., Fu, H., Russell, C., Song, P., Khurana, K., and Singer, H.: A new fuctional form to study the solar wind control of the magnetopause size and shape, J. Geophys. Res., 102, 9497-9512, 1997.
75. Shue, J.-H., Song, P., Russell, C. T., Steinberg, J. T., Chao, J. K., Zastenker, G., Vaisberg, O. L., Kokubun, S., Singer, H. J., Detman, T. R., and Kawano, H.: Magnetopause location under exteme solar wind conditions, J. Geophys. Res., 103, 17691-17700, 1998.
76. Siscoe, G. and Huang, T.: Polar cap inflation and deflation, J. Geophys. Res., 90, 543-547, 1985.
77. Siscoe, G. L., Erickson, G., Sonnerup, B., Maynard, N., Schoendorf, J., Siebert, K., Weimer, D., White, W., and Wilson, G.: Hill model of transpolar potential saturation: Comparisons with MHD simulations, J. Geophys. Res., 107, 1321, doi:10.1029/2001JA009176, 2002.
78. Slavin, J. A., Lepping, R. P., Gjerloev, J., Fairfield, D. H., Hesse, M., Owen, C. J., Moldwin, M. B., Nagai, T., Ieda, A., and Mukai, T.: Geotail observations of magnetic flux ropes in the plasma sheet, J. Geophys. Res., 108, 1015, doi:10.1029/2002JA009557, 2003.
79. Snowden, D.,Winglee, R., Bertucci, C., and Dougherty, M.: Threedimensional multifluid simulation of the plasma interaction at Titan, J. Geophys. Res., 112, 12221, doi:10.1029/2007JA012393, 2007.
80. Sokolov, I., Powell, K., Gombosi, T., and Roussev, I.: A TVD principle and conservative TVD schemes for adaptive Cartesian grids, J. of Comp. Phys., 220, 1, 2006.
81. Sokolov, I., K.G.Powell, O.Cohen, and T.I.Gombosi: Computational MagnetoHydrodynamic, Based on Solution of the Well-Posed Riemann Problem, in: Numerical Modeling of Space Plasma Flows/ASTRONUM 2007/AIP Proceedings series, vol. 385, p. 291, 2008.
82. Sokolov, I. V., Timofeev, E. V., Sakai, J. I., and Takayama, K.: On shock capturing schemes using artificial wind, Shock Waves, 9, 423-426, 1999.
83. Sonnerup, B. U. Ö., Siebert, K. D., White, W. W., Weimer, D. R., Maynard, N. C., Schoendorf, J. A., Wilson, G. R., Siscoe, G. L., and Erickson, G. M.: Simulations of the magnetosphere for zero interplanetary magnetic field: The ground state, J. Geophys. Res., 106, 29419, doi:10.1029/2001JA000124, 2001.
84. Strangeway, R. J., Russell, C. T., Carlson, C. W., McFadden, J. P., Ergun, R. E., Temerin, M., Klumpar, D. M., Peterson,W. K., and Moore, T. E.: Cusp field-aligned currents and ion outflows, J. Geophys. Res., 105, 21 129, doi:10.1029/2000JA900032, 2000.
85. Strangeway, R. J., Ergun, R. E., Su, Y.-J., Carlson, C. W., and Elphic, R. C.: Factors controlling ionospheric outflows as observed at intermediate altitudes, J. Geophys. Res., 110, 3221, doi:10.1029/2004JA010829, 2005.
86. Taktakishvili, A., Kuznetsova, M., Hesse, M., Rastätter, L., Chulaki, A., and Pulkkinen, A.: Metrics analysis of the coupled Block Adaptive-Tree SolarWind Roe-Type Upwind Scheme and Fok ring current model performance, Space Weather, 5, 11004, doi:10.1029/2007SW000321, 2007.
87. Tanaka, T.: Generation mechanisms for magnetosphere-ionosphere current systems deduced from a three-dimensional MHD simulation of the solar wind-magnetosphere-ionosphere coupling processes, J. Geophys. Res., 100, 12057, doi:10.1029/95JA00419, 1995.
88. Toffoletto, F., Sazykin, S., Spiro, R., Wolf, R., and Lyon, J.: RCM meets LFM: initial results of one-way coupling, J. Atmos. Sol.-Terr. Phys., 66, 1361, doi:10.1016/j.jastp.2004.03.022, 2004.
89. T́oth, G., Kov́acs, D., Hansen, K. C., and Gombosi, T. I.: Threedimensional MHD simulations of the magnetosphere of Uranus, J. Geophys. Res., 109, 11210, doi:10.1029/2004JA010406, 2004.
90. T́oth, G., Sokolov, I. V., Gombosi, T. I., Chesney, D. R., Clauer, C., Zeeuw, D. L. D., Hansen, K. C., Kane, K. J., Manchester, W. B., Powell, K. G., Ridley, A. J., Roussev, I. I., Stout, Q. F., Volberg, O., Wolf, R. A., Sazykin, S., Chan, A., Yu, B., and Ḱota, J.: Space Weather Modeling Framework: A New Tool for the Space Science Community, J. Geophys. Res., 110, A12226, doi:10.1029/2005JA011126, 2005a.
91. T́oth, G., Zeeuw, D. L. D., Gombosi, T. I., and Powell, K. G.: Parallel Explicit/Implicit Time Stepping Scheme on Block-Adaptive Grid, J. Comput. Phys., submitted, 2005b.
92. Tsyganenko, N. A.: A Magnetospheric Magnetic Field Model with a Warped Tail Current Sheet, Planet. Space Sci., 37, 5, 1989.
93. Tsyganenko, N. A.: Modeling the Earth's Magnetospheric Magnetic Field Confined Within a Realistic Magnetopause, J. Geophys. Res., 100, 5599-5612, 1995.
94. Tsyganenko, N. A.: A model of the near magnetosphere with a dawn-dusk asymmetry - 1. Mathematical Structure, J. Geophys. Res., 107, 1179, doi:10.1029/2001JA000219, 2002.
95. Vogt, J., Zieger, B., Stadelmann, A., Glassmeier, K.-H., Gombosi, T. I., Hansen, K., and Ridley, A.: MHD simulations of quadrupolar paleomagnetospheres, J. Geophys. Res., 109, A12221, doi:10.1029/2003JA010273, 2004.
96. Walker, R. J. and Ogino, T.: A simulation study of currents in the Jovian magnetosphere, Planet. Space Sci., 51, 295-307, 2003.
97. Wang, H., Lühr, H., Ridley, A., Ritter, P., and Yu, Y.: Storm time dynamics of auroral electrojets: CHAMP observation and the Space Weather Modeling Framework comparison, Ann. Geophys., 26, 555, doi:10.5194/angeo-26-555- 208, 2008a.
98. Wang, H., Ridley, A., and Lühr, H.: Validation of the Space Weather Modeling Framework using observations from CHAMP and DMSP, Space Weather, 6, S03 001, doi:10.1029/2007SW000355, 2008b.
99. Wang, W., Wiltberger, M., Burns, A., Solomon, S., Killeen, T., Maruyama, N., and Lyon, J.: Initial results from the coupled magnetosphere - ionosphere - thermosphere model: thermosphere - ionospheric responses, J. Atmos. Sol.-Terr. Phys., 66, 1425, doi:10.1016/j.jastp.2004.04.008, 2004.
100. Watanabe, M., Kabin, K., Sofko, G., Rankin, R., Gombosi, T., Ridley, A., and Clauer, C.: Internal reconnection for northward interplanetary magnetic field, J. Geophys. Res., 110, A06210,10.1029/2004JA010832, 2005.
101. Weimer, D.: A flexible, IMF dependent model of high-latitude electric potential having "space weather" applications, Geophys. Res. Lett., 23, 2549, doi:10.1029/2000JA000604, 1996.
102. Weimer, D.: An improved model of ionospheric electric potentials including substorm perturbations and application to the Geosphace Environment Modeling November 24, 1996, event, J. Geophys. Res., 106, 407, 2001.
103. Welling, D. and Ridley, A.: Validation of SWMF Magnetic Field and Plasma, Space Weather, 8, S03002, doi:10.1029/2009SW000494, 2010a.
104. Welling, D. T. and Ridley, A. J.: Exploring sources of magnetospheric plasma using multispecies MHD, J. Geophys. Res., 115, A04201, doi:10.1029/2009JA014596, 2010b.
105. White, W. W., Siscoe, G. L., Erickson, G. M., Kaymaz, Z., Maynard, N. C., Siebert, K. D., Sonnerup, B. U. Ö., and Weimer, D. R.: The magnetospheric sash and the cross-tail S, Geophys. Res. Lett., 25, 1605-1608, 1998.
106. Wiltberger, M., Wang, W., Burns, A., Solomon, S., Lyon, J., and Goodrich, C.: Initial results from the coupled magnetosphere ionosphere thermosphere model: magnetospheric and ionospheric response, J. Atmos. Sol.-Terr. Phys., 66, 1411, doi:10.1016/j.jastp.2004.03.026, 2004.
107. Winglee, R. M.: Multi-fluid simulations of the magnetosphere: The identification of the geopause and its variation with IMF, Geophys. Res. Lett., 25, 4441-4444, 1998.
108. Winglee, R. M.: Mapping of ionospheric outflows into the magnetosphere for varying IMF conditions., J. Atmos. and Terr. Phys., 62, 527-540, 2000.
109. Winglee, R. M. and Elsen, R. K.: Predicting magnetospheric/ auroral response to varying solar wind conditions using 3-D two-fluid simulations, unpublished manuscript, 1995.
110. Wolf, R. A., Harel, M., Spiro, R. W., Voigt, G., Reiff, P. H., and Chen, C. K.: Computer simulation of inner magnetospheric dynamics for the magnetic storm of July 29, 1977, J. Geophys. Res., 87, 5949-5962, 1982.
111. Yao, Y., Seki, K., Miyoshi, Y., McFadden, J. P., Lund, E. J., and Carlson, C. W.: Effect of solar wind variation on lowenergy O+ populations in the magnetosphere during geomagnetic storms: FAST observations, J. Geophys. Res., 113, 4220, doi:10.1029/2007JA012681, 2008.
112. Yu, Y. and Ridley, A.: Validation of the Space Weather Modeling Framework using ground-based magnetometers, Space Weather, 6, S05002, doi:10.1029/2007SW000345, 2008.
113. Yu, Y., Ridley, A., Welling, D., and T́oth, G.: Including gap-region field-aligned currents and magnetospheric currents in the MHD calculation of ground-based magnetic field perturbations, J. Geophys. Res., 115, A08207, doi:10.1029/2009JA014869, 2010.