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Adaptive Global Magnetohydrodynamic Simulations

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Space and Astrophysical Plasma Simulation

Abstract

This chapter briefly summarizes global MHD codes that are presently used in geospace modeling with particular attention to their availability for community use through the Community Coordinated Modeling Center (CCMC). It describes the underlining methodologies of modern codes using the University of Michigan’s Space Weather Modeling Framework (SWMF) and the Block-Adaptive Tree Solar-Wind Roe-Type Upwind Scheme (BATS-R-US) multi-physics code. We also describe the new MHD with embedded PIC (MHD-EPIC) code, the latest development in adaptive physics approach.

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References

  1. J.N. LeBoeuf, T. Tajima, C.F. Kennel, J.M. Dawson, Geophys. Res. Lett. 8, 257 (1981). https://doi.org/10.1029/gl008i003p00257

    Article  ADS  Google Scholar 

  2. C.C. Wu, R. Walker, J.M. Dawson, Geophys. Res. Lett. 8, 523 (1981). https://doi.org/10.1029/GL008i005p00523

    Article  ADS  Google Scholar 

  3. S. Brecht, J. Lyon, J. Fedder, K. Hain, Geophys. Res. Lett. 8, 397 (1981). https://doi.org/10.1029/GL008i004p00397

    Article  ADS  Google Scholar 

  4. S. Brecht, J. Lyon, J. Fedder, K. Hain, J. Geophys. Res. 87(A8), 6098 (1982). https://doi.org/10.1029/ja087ia08p06098

    Article  ADS  Google Scholar 

  5. J.G. Lyon, J. Fedder, J. Huba, J. Geophys. Res. 91(A7), 8057 (1986). https://doi.org/10.1029/ja091ia07p08057

    Article  ADS  Google Scholar 

  6. J.G. Lyon, J.A. Fedder, C.M. Mobarry, J. Atmos. Sol. Terr. Phys. 66(15–16), 1333 (2004). https://doi.org/10.1016/j.jastp.2004.03.020

    Article  ADS  Google Scholar 

  7. J. Raeder, J. Berchem, M. Ashour-Abdalla, in The Physics of Space Plasmas, vol. 14, ed. by T. Chang, J.R. Jasperse (MIT Center For Theoretical Geo/Cosmo Plasma Physics, Cambridge, 1996), p. 403

    Google Scholar 

  8. J. Raeder, R.J. Walker, M. Ashour-Abdalla, Geophys. Res. Lett. 22(4), 349 (1995). https://doi.org/10.1029/94gl03380

    Article  ADS  Google Scholar 

  9. K. Watanabe, T. Sato, J. Geophys. Res. 95, 75 (1990)

    Article  ADS  Google Scholar 

  10. A. Usadi, A. Kageyama, K. Watanabe, T. Sato, J. Geophys. Res. 98, 7503 (1993)

    Article  ADS  Google Scholar 

  11. P. Janhunen, in Proceedings of the ESA 1996 Symposium on Environment Modelling for Space-Based Applications. ESA Special Publication, vol. 392, ed. by T.D. Guyenne, A. Hilgers (Esa Sp-392, 1996), pp. 233–239

    Google Scholar 

  12. W.W. White, G.L. Siscoe, G.M. Erickson, Z. Kaymaz, N.C. Maynard, K.D. Siebert, B.U.Ă–. Sonnerup, D.R. Weimer, Geophys. Res. Lett. 25(10), 1605 (1998)

    Article  ADS  Google Scholar 

  13. G.L. Siscoe, N.U. Crooker, G.M. Erickson, B.U.Ă–. Sonnerup, K.D. Siebert, D.R. Weimer, W.W. White, N.C. Maynard, Geophys. Monogr. 118, 41 (2000). https://doi.org/10.1029/GM118p0041

    ADS  Google Scholar 

  14. J.A. Linker, Z. Mikić, D.D. Schnack, in Proceedings of the Third SOHO Workshop (European Space Agency, Estes Park, 1994), pp. 249–252

    Google Scholar 

  15. J.A. Linker, Z. Mikić, D.A. Biesecker, R.J. Forsyth, S.E. Gibson, A.J. Lazarus, A. Lecinski, P. Riley, A. Szabo, B.J. Thompson, J. Geophys. Res. 104, 9809 (1999). https://doi.org/10.1029/1998ja900159

    Article  ADS  Google Scholar 

  16. A.V. Usmanov, Sol. Phys. 146, 377 (1993). https://doi.org/10.1007/bf00662021

    Article  ADS  Google Scholar 

  17. A.V. Usmanov, M.L. Goldstein, B.P. Besser, J.M. Fritzer, J. Geophys. Res. 105, 12675 (2000). https://doi.org/10.1029/1999ja000233

    Article  ADS  Google Scholar 

  18. K. Hayashi, J. Geophys. Res. 118, 6889 (2013). https://doi.org/10.1002/2013ja018991

    Article  Google Scholar 

  19. X. Feng, L. Yang, C. Xiang, S.T. Wu, Y. Zhou, D. Zhong, Astrophys. J. 723, 300 (2010). https://doi.org/10.1088/0004-637x/723/1/300

    Article  ADS  Google Scholar 

  20. D. OdstrÄŤil, Adv. Space Res. 32(4), 497 (2003)

    Article  ADS  Google Scholar 

  21. D. OdstrÄŤil, V.J. Pizzo, Sol. Phys. 259, 297 (2009). https://doi.org/10.1007/s11207-009-9449-z

    Article  ADS  Google Scholar 

  22. N.V. Pogorelov, G.P. Zank, T. Ogino, Astrophys. J. 614(2), 1007 (2004). https://doi.org/10.1086/423798

    Article  ADS  Google Scholar 

  23. J.M. Stone, J.F. Hawley, C.R. Evans, M.L. Norman, Astrophys. J. 388(2), 415 (1992)

    Article  ADS  Google Scholar 

  24. T. Ogino, J. Geophys. Res. 91, 6791 (1986). https://doi.org/10.1029/ja091ia06p06791

    Article  ADS  Google Scholar 

  25. H. Washimi, T. Tanaka, Space Sci. Rev. 78, 85 (1996)

    Article  ADS  Google Scholar 

  26. R.M. Winglee, Geophys. Res. Lett. 25, 4441 (1998)

    Article  ADS  Google Scholar 

  27. R.M. Winglee, W. Lewis, G. Lu, J. Geophys. Res. 110, A12s24 (2005). https://doi.org/10.1029/2004ja010909

  28. G. Toth, Astroph. Lett. Comm. 34, 245 (1996)

    ADS  Google Scholar 

  29. K. Powell, P. Roe, T. Linde, T. Gombosi, D.L. De Zeeuw, J. Comput. Phys. 154, 284 (1999). https://doi.org/10.1006/jcph.1999.6299

    Article  ADS  MathSciNet  Google Scholar 

  30. G. Toth, B. van der Holst, I.V. Sokolov, D.L. De Zeeuw, T.I. Gombosi, F. Fang, W.B. Manchester, X. Meng, D. Najib, K.G. Powell, Q.F. Stout, A. Glocer, Y.J. Ma, M. Opher, J. Comput. Phys. 231(3), 870 (2012). https://doi.org/10.1016/j.jcp.2011.02.006

    Article  ADS  MathSciNet  Google Scholar 

  31. G. Toth, I.V. Sokolov, T.I. Gombosi, D.R. Chesney, C.R. Clauer, D.L. de Zeeuw, K.C. Hansen, K.J. Kane, W.B. Manchester, R.C. Oehmke, K.G. Powell, A.J. Ridley, I.I. Roussev, Q.F. Stout, O. Volberg, R.A. Wolf, S. Sazykin, A. Chan, B. Yu, J. KĂłta, J. Geophys. Res. 110(A12), A12226 (2005). https://doi.org/10.1029/2005ja011126

    Article  ADS  Google Scholar 

  32. J. Raeder, R.L. MacPherron, L.A. Frank, S. Kokubun, G. Lu, T. Mukai, W.R. Paterson, J.B. Sigwarth, H.J. Singer, J.A. Slavin, J. Geophys. Res., 381 (2001)

    Google Scholar 

  33. C.C. Goodrich, A.L. Sussman, J.G. Lyon, M.A. Shay, P.A. Cassak, J. Atmos. Solar Terr. Phys. 66, 1469 (2004)

    Article  ADS  Google Scholar 

  34. J.G. Luhmann, S.C. Solomon, J.A. Linker, J.G. Lyon, Z. Mikic, D. Odstrcil, W. Wang, M. Wiltberger, J. Atmos. Solar Terr. Phys. 66, 1243 (2004). https://doi.org/10.1016/j.jastp.2004.04.005

    Article  ADS  Google Scholar 

  35. M. Ashour-Abdalla, G. Lapenta, R.J. Walker, M. El-Alaoui, H. Liang, J. Geophys. Res. 120 (2015). https://doi.org/10.1002/2014ja020316

  36. L.K. Daldorff, G. Toth, T.I. Gombosi, G. Lapenta, J. Amaya, S. Markidis, J.U. Brackbill, J. Comput. Phys. 268, 236 (2014). https://doi.org/10.1016/j.jcp.2014.03.009

    Article  ADS  MathSciNet  Google Scholar 

  37. L.M. Noble, F.L. Scarf, Astrophys. J. 138, 1169 (1963). https://doi.org/10.1086/147715

    Article  ADS  Google Scholar 

  38. F.L. Scarf, L.M. Noble, Astrophys. J. 141, 1479 (1965). https://doi.org/10.1086/148236

    Article  ADS  Google Scholar 

  39. Y.C. Whang, C.C. Chang, J. Geophys. Res. 70, 4175 (1965). https://doi.org/10.1029/JZ070i017p04175

    Article  ADS  Google Scholar 

  40. P.A. Sturrock, R.E. Hartle, Phys. Rev. Lett. 16, 628 (1966). https://doi.org/10.1103/PhysRevLett.16.628

    Article  ADS  Google Scholar 

  41. K.H. Schatten, Nature 220, 1211 (1968). https://doi.org/10.1038/2201211a0

    Article  ADS  Google Scholar 

  42. K.H. Schatten, Nature 222, 652 (1969). https://doi.org/10.1038/222652a0

    Article  ADS  Google Scholar 

  43. K.H. Schatten, J.M. Wilcox, N.F. Ness, Sol. Phys. 6, 442 (1969). https://doi.org/10.1007/bf00146478

    Article  ADS  Google Scholar 

  44. M.D. Altschuler, G. Newkirk, Sol. Phys. 9(1), 131 (1969). https://doi.org/10.1007/bf00145734

    Article  ADS  Google Scholar 

  45. G. Newkirk, M.D. Altschuler, Sol. Phys. 13, 131 (1970). https://doi.org/10.1007/bf00963948

    Article  ADS  Google Scholar 

  46. K.H. Schatten, Cosmic Electrodyn. 2, 232 (1971)

    ADS  Google Scholar 

  47. T.I. Gombosi, B. van der Holst, W.B. Manchester, I.V. Sokolov, Liv. Rev. Sol. Phys. 15(1), 4 (2018). https://doi.org/10.1007/s41116-018-0014-4

    Article  Google Scholar 

  48. J.T. Hoeksema, J.M. Wilcox, P.H. Scherrer, J. Geophys. Res. 87, 10331 (1982). https://doi.org/10.1029/JA087iA12p10331

    Article  ADS  Google Scholar 

  49. G. Toth, X. Meng, T.I. Gombosi, A. Ridley, J. Geophys. Res. 116, A07211 (2011). https://doi.org/10.1029/2010ja016370

    Article  ADS  Google Scholar 

  50. G.W. Pneuman, Astrophys. J. 145, 242 (1966). https://doi.org/10.1086/148759

    Article  ADS  Google Scholar 

  51. G.W. Pneuman, Sol. Phys., 578–597 (1968). https://doi.org/10.1007/bf00151939

  52. G.W. Pneuman, Sol. Phys. 6, 255 (1969). https://doi.org/10.1007/bf00150951

    Article  ADS  Google Scholar 

  53. G.W. Pneuman, R.A. Kopp, Sol. Phys. 18, 258 (1971)

    Article  ADS  Google Scholar 

  54. E.N. Parker, Interplanetary Dynamical Processes (Wiley-Interscience, New York, 1963)

    MATH  Google Scholar 

  55. R.S. Steinolfson, M. Dryer, Y. Nakagawa, J. Geophys. Res. 80, 1223 (1975). https://doi.org/10.1029/JA080i010p01223

    Article  ADS  Google Scholar 

  56. R.S. Steinolfson, S.T. Wu, M. Dryer, E. Tandberg-Hanssen, Astrophys. J. 225, 259 (1978). https://doi.org/10.1086/156489

    Article  ADS  Google Scholar 

  57. V. Pizzo, J. Geophys. Res. 83(A12), 5563 (1978)

    Article  ADS  Google Scholar 

  58. V.J. Pizzo, J. Geophys. Res. 85(A2), 727 (1980)

    Article  ADS  Google Scholar 

  59. V.J. Pizzo, J. Geophys. Res. 87(A6), 4374 (1982)

    Article  ADS  Google Scholar 

  60. R.S. Steinolfson, S.T. Suess, S.T. Wu, Astrophys. J. 255, 730 (1982). https://doi.org/10.1086/159872

    Article  ADS  Google Scholar 

  61. R.S. Steinolfson, J. Geophys. Res. 93, 14261 (1988)

    Article  ADS  Google Scholar 

  62. R.S. Steinolfson, A.J. Hundhausen, J. Geophys. Res. 93, 14269 (1988)

    Article  ADS  Google Scholar 

  63. V.J. Pizzo, J. Geophys. Res. 94(A7), 8673 (1989)

    Article  ADS  Google Scholar 

  64. R.S. Steinolfson, J. Geophys. Res. 95, 20693 (1990)

    Article  ADS  Google Scholar 

  65. V.J. Pizzo, J. Geophys. Res. 96(A4), 5405 (1991)

    Article  ADS  Google Scholar 

  66. R.S. Steinolfson, J. Geophys. Res. 97, 10,811 (1992)

    Article  ADS  Google Scholar 

  67. V.J. Pizzo, K.B. MacGregor, P.B. Kunasz, Astrophys. J. 404, 788 (1993). https://doi.org/10.1086/172333

    Article  ADS  Google Scholar 

  68. V.J. Pizzo, J.T. Gosling, Geophys. Res. Lett. 21, 2063 (1994)

    Article  ADS  Google Scholar 

  69. V.J. Pizzo, J. Geophys. Res. 99(A3), 4185 (1994)

    Article  ADS  Google Scholar 

  70. V.J. Pizzo, J. Geophys. Res. 99(A3), 4173 (1994)

    Article  ADS  Google Scholar 

  71. R.S. Steinolfson, Space Sci. Rev. 70, 289 (1994)

    Article  ADS  Google Scholar 

  72. Y.M. Wang, N.R. Sheeley, Jr., Astrophys. J. 355, 726 (1990). https://doi.org/10.1086/168805

    Article  ADS  Google Scholar 

  73. L.A. Fisk, N.A. Schwadron, T.H. Zurbuchen, Space Sci. Rev. 86, 51 (1998). https://doi.org/10.1023/a:1005015527146

    Article  ADS  Google Scholar 

  74. R. Lionello, P. Riley, J.A. Linker, Z. Mikié, Astrophys. J. 625(1), 463 (2005). https://doi.org/10.1086/429268

    Article  ADS  Google Scholar 

  75. A.F. Rappazzo, W.H. Matthaeus, D. Ruffolo, S. Servidio, M. Velli, Astrophys. J. Lett. 758(1), L14 (2012). https://doi.org/10.1088/2041-8205/758/1/l14

    Article  ADS  Google Scholar 

  76. V.S. Titov, Z. Mikic, T. Török, J.A. Linker, O. Panasenco, Astrophys. J. 759, 70 (2012). https://doi.org/10.1088/0004-637x/759/1/70

    Article  ADS  Google Scholar 

  77. S.K. Antiochos, J.A. Linker, R. Lionello, Z. Mikic̆, V. Titov, T.H. Zurbuchen, Space Sci. Rev. 172(1-4), 169 (2012). https://doi.org/10.1007/s11214-011-9795-7

  78. D. OdstrÄŤil, V.J. Pizzo, J. Geophys. Res. 104, 28,225 (1999)

    Article  ADS  Google Scholar 

  79. C. Arge, J. Luhmann, D. Odstrcil, C. Schrijver, Y. Li, J. Atmos. Solar Terr. Phys. 66(15), 1295 (2004). https://doi.org/10.1016/j.jastp.2004.03.018

    Article  ADS  Google Scholar 

  80. D. Odstrčil, J.A. Linker, R. Lionello, Z. Mikić, P. Riley, V.J. Pizzo, J.G. Luhmann, J. Geophys. Res. 107, 1493 (2002). https://doi.org/10.1029/2002ja009334

    Article  Google Scholar 

  81. D. OdstrÄŤil, V.J. Pizzo, J.A. Linker, P. Riley, R. Lionello, Z. Mikic, J. Atmos. Solar Terr. Phys. 66, 1311 (2004)

    Article  ADS  Google Scholar 

  82. K. Hayashi, J. Geophys. Res. 117, A08105 (2012). https://doi.org/10.1029/2011ja017490

    Article  ADS  Google Scholar 

  83. B.V. Jackson, P.L. Hick, M. Kojima, A. Yokobe, J. Geophys. Res. 103(12), 12049 (1998)

    Article  ADS  Google Scholar 

  84. V.G. Merkin, J.G. Lyon, S.L. McGregor, D.M. Pahud, Geophys. Res. Lett. 38(14), L14107 (2011). https://doi.org/10.1029/2011gl047822

    Article  ADS  Google Scholar 

  85. V.G. Merkin, J.G. Lyon, D. Lario, C.N. Arge, C.J. Henney, J. Geophys. Res. Space Phys. 121(4), 2866 (2016). https://doi.org/10.1002/2015ja022200

    Article  ADS  Google Scholar 

  86. B. Zhang, K.A. Sorathia, J.G. Lyon, V.G. Merkin, M. Wiltberger, preprint, arXiv:1810.10861 (2018)

    Google Scholar 

  87. D. Shiota, R. Kataoka, Y. Miyoshi, T. Hara, C. Tao, K. Masunaga, Y. Futaana, N. Terada, Space Weather 12(4), 187 (2014). https://doi.org/10.1002/2013sw000989

    Article  ADS  Google Scholar 

  88. D. Shiota, R. Kataoka, Space Weather 14, 56 (2016). https://doi.org/10.1002/2015sw001308

    Article  ADS  Google Scholar 

  89. T.K. Kim, N.V. Pogorelov, G.P. Zank, H.A. Elliott, D.J. McComas, Astrophys. J. 832(1), 72 (2016). https://doi.org/10.3847/0004-637x/832/1/72

    Article  ADS  Google Scholar 

  90. J. Pomoell, S. Poedts, J. Space Weather Space Clim. 8, A35 (2018). https://doi.org/10.1051/swsc/2018020

    Article  ADS  Google Scholar 

  91. S.R. Cranmer, A.A. Van Ballegooijen, Astrophys. J. 720(1), 824 (2010). https://doi.org/10.1088/0004-637x/720/1/824

    Article  ADS  Google Scholar 

  92. I.V. Sokolov, B. van der Holst, R. Oran, C. Downs, I.I. Roussev, M. Jin, W.B. Manchester, R.M. Evans, T.I. Gombosi, Astrophys. J. 764, 23 (2013). https://doi.org/10.1088/0004-637x/764/1/23

    Article  ADS  Google Scholar 

  93. J.V. Hollweg, J. Geophys. Res. 91(A4), 4111 (1986). https://doi.org/10.1029/JA091iA04p04111

    Article  ADS  Google Scholar 

  94. B. van der Holst, I.V. Sokolov, X. Meng, M. Jin, W.B. Manchester, G. Toth, T.I. Gombosi, Astrophys. J. 782(2), 81 (2014). https://doi.org/10.1088/0004-637x/782/2/81

    Article  ADS  Google Scholar 

  95. R. Oran, B. van der Holst, E. Landi, M. Jin, I.V. Sokolov, T.I. Gombosi, Astrophys. J. 778, 176 (2013). https://doi.org/10.1088/0004-637x/778/2/176

    Article  ADS  Google Scholar 

  96. A.V. Usmanov, M.L. Goldstein, J. Geophys. Res. 108(A9), 1354 (2003). https://doi.org/10.1029/2002ja009777

    Article  Google Scholar 

  97. Y.Q. Hu, X. Li, S.R. Habbal, J. Geophys. Res. 108, 9 (2003). https://doi.org/10.1029/2003ja009889

    Google Scholar 

  98. T.K. Suzuki, S.i. Inutsuka, Astrophys. J. Lett. 632, L49 (2005). https://doi.org/10.1086/497536

  99. A. Verdini, M. Velli, W.H. Matthaeus, S. Oughton, P. Dmitruk, Astrophys. J. Lett. 708(2), L116 (2009). https://doi.org/10.1088/2041-8205/708/2/l116

    Article  ADS  Google Scholar 

  100. T. Matsumoto, T.K. Suzuki, Astrophys. J. 749, 8 (2012). https://doi.org/10.1088/0004-637x/749/1/8

    Article  ADS  Google Scholar 

  101. R. Lionello, M. Velli, C. Downs, J.A. Linker, Z. Mikić, Astrophys. J. 796, 111 (2014). https://doi.org/10.1088/0004-637x/796/2/111

    Article  ADS  Google Scholar 

  102. R. Lionello, M. Velli, C. Downs, J.A. Linker, Z. Mikić, A. Verdini, Astrophys. J. 784, 120 (2014). https://doi.org/10.1088/0004-637x/784/2/120

    Article  ADS  Google Scholar 

  103. J.N. LeBoeuf, T. Tajima, C.F. Kennel, J.M. Dawson, Geophys. Res. Lett. 5(7), 609 (1978). https://doi.org/10.1029/GL005i007p00609

    Article  ADS  Google Scholar 

  104. T. Ogino, R.J. Walker, Geophys. Res. Lett. 11, 1018 (1984)

    Article  ADS  Google Scholar 

  105. T.I. Gombosi, D.N. Baker, A. Balogh, P.J. Erickson, J.D. Huba, L.J. Lanzerotti, Space Sci. Rev., 1–55 (2017). https://doi.org/10.1007/s11214-017-0357-5

  106. K.H. Hain, J. Comput. Phys. 73(1), 131 (1987). https://doi.org/10.1016/0021-9991(87)90110-0

    Article  ADS  Google Scholar 

  107. C.R. Evans, J.F. Hawley, Astrophys. J. 332, 659 (1988). https://doi.org/10.1086/166684

    Article  ADS  Google Scholar 

  108. J.G. Lyon, S.H. Brecht, J.D. Huba, J.A. Fedder, P.J. Palmadesso, Phys. Rev. Lett. 46, 1038 (1981). https://doi.org/10.1103/PhysRevLett.46.1038. https://link.aps.org/doi/10.1103/PhysRevLett.46.1038

  109. W.W. White, J.A. Schoendorf, K.D. Siebert, N.C. Maynard, D.R. Weimer, G.L. Wilson, B.U.Ă–. Sonnerup, G.L. Siscoe, G.M. Erickson, Geophys. Monogr. 125, 229 (2001). https://doi.org/10.1029/GM125p0229

    ADS  Google Scholar 

  110. T. Ogino, R. Walker, M. Ashour-Abdalla, J. Dawson, J. Geophys. Res. 91, 10029 (1986)

    Article  ADS  Google Scholar 

  111. K. Watanabe, T. Sato, Geophys. Res. Lett. 15, 717 (1988)

    Article  ADS  Google Scholar 

  112. T. Tanaka, J. Comput. Phys. 111, 381 (1994)

    Article  ADS  Google Scholar 

  113. T. Tanaka, J. Geophys. Res. 100(A7), 12057 (1995)

    Article  ADS  Google Scholar 

  114. J. Raeder, J. Berchem, M. Ashour-Abdalla, J. Geophys. Res. 103(A7), 14,787 (1998). https://doi.org/10.1029/98ja00014

    Article  ADS  Google Scholar 

  115. R.S. Steinolfson, R.M. Winglee, J. Geophys. Res. 98, 7537 (1993)

    Article  ADS  Google Scholar 

  116. P. Janhunen, M. Palmroth, T. Laitinen, I. Honkonen, L. Juusola, G. FacskĂł, T. Pulkkinen, J. Atmos. Solar Terr. Phys. 80, 48 (2012). https://doi.org/10.1016/j.jastp.2012.03.006

    Article  ADS  Google Scholar 

  117. K.G. Powell, P.L. Roe, R.S. Myong, T.I. Gombosi, D.L. DeZeeuw, in 12th Computational Fluid Dynamics Conference (Aiaa-95-1704, San Diego, 1995), p. 661. https://doi.org/10.2514/6.1995-1704

  118. J. Raeder, J. Geophys. Res. 104(A8), 17357 (1999)

    Article  ADS  Google Scholar 

  119. T. Gombosi, K. Powell, B. van Leer, J. Geophys. Res. 105(A6), 13141 (2000). https://doi.org/10.1029/1999ja000342

    Article  ADS  Google Scholar 

  120. J. Raeder, J. Geophys. Res. 105, 13,149 (2000)

    Article  ADS  Google Scholar 

  121. G. Toth, D.L. De Zeeuw, T.I. Gombosi, K.G. Powell, J. Comput. Phys. 217, 722 (2006). https://doi.org/10.1016/j.jcp.2006.01.029

    Article  ADS  MathSciNet  Google Scholar 

  122. Y.Q. Hu, X.C. Guo, C. Wang, J. Geophys. Res. 112(A7), A07215 (2007). https://doi.org/10.1029/2006ja012145

    Article  ADS  Google Scholar 

  123. C. Wang, X. Guo, Z. Peng, B. Tang, T. Sun, W. Li, Y. Hu, Sci. China Earth Sci. 56(7), 1141 (2013). https://doi.org/10.1007/s11430-013-4608-3

    Article  ADS  Google Scholar 

  124. CCMC. Community Coordinated Modeling Center. http://ccmc.gsfc.nasa.gov

  125. V.G. Merkin, J.G. Lyon, J. Geophys. Res. 115(A10), A10202 (2010). https://doi.org/10.1029/2010ja015461

    Article  ADS  Google Scholar 

  126. A.D. Richmond, E.C. Ridley, R.G. Roble, Geophys. Res. Lett. 19(6), 601 (1992). https://doi.org/10.1029/92gl00401

    Article  ADS  Google Scholar 

  127. M. Wiltberger, W. Wang, A. Burns, S. Solomon, J. Lyon, C. Goodrich, J. Atmos. Solar Terr. Phys. 66, 1411 (2004). https://doi.org/10.1016/j.jastp.2004.03.026

    Article  ADS  Google Scholar 

  128. W. Wang, M. Wiltberger, A. Burns, S. Solomon, T. Killeen, N. Maruyama, J. Lyon, J. Atmos. Solar Terr. Phys. 66(15–16), 1425 (2004). https://doi.org/10.1016/j.jastp.2004.04.008

    Article  ADS  Google Scholar 

  129. A. Harten, J. Comput. Phys. 49(3), 357 (1983). https://doi.org/10.1016/0021-9991(83)90136-5

    Article  ADS  MathSciNet  Google Scholar 

  130. P. Janhunen, H.E.J. Koskinen, Geophys. Res. Lett. 24(11), 1419 (1997)

    Article  ADS  Google Scholar 

  131. M. Liemohn, N.Y. Ganushkina, D.L. De Zeeuw, L. Rastaetter, M. Kuznetsova, D.T. Welling, G. Toth, R. Ilie, T.I. Gombosi, B. van der Holst, Space Weather 16(10), 1583 (2018). https://doi.org/10.1029/2018sw001953

    Article  ADS  Google Scholar 

  132. A.J. Ridley, T.I. Gombosi, D.L. DeZeeuw, Ann. Geophys. 22, 567 (2004). https://doi.org/10.5194/angeo-22-567-2004

    Article  ADS  Google Scholar 

  133. F. Toffoletto, S. Sazykin, R. Spiro, R. Wolf, Space Sci. Rev. 107, 175 (2003). https://doi.org/10.1023/a:1025532008047

    Article  ADS  Google Scholar 

  134. A. Glocer, M. Fok, X. Meng, G. Toth, N. Buzulukova, S. Chen, K. Lin, J. Geophys. Res. 118(4), 1635 (2013). https://doi.org/10.1002/jgra.50221

    Article  Google Scholar 

  135. M.C. Fok, N.Y. Buzulukova, S.H. Chen, A. Glocer, T. Nagai, P. Valek, J.D. Perez, J. Geophys. Res. 119(9), 7522 (2014). https://doi.org/10.1002/2014ja020239

    Article  Google Scholar 

  136. D.L. De Zeeuw, S. Sazykin, R.A. Wolf, T.I. Gombosi, A.J. Ridley, Toth, J. Geophys. Res. 109(A12), A12219 (2004). https://doi.org/10.1029/2003ja010366

  137. A. Glocer, G. Toth, M. Fok, T. Gombosi, M. Liemohn, J. Atmos. Solar Terr. Phys. 71(16), 1653 (2009). https://doi.org/10.1016/j.jastp.2009.01.003

    Article  ADS  Google Scholar 

  138. T.I. Gombosi, G. Toth, D.L. De Zeeuw, K.C. Hansen, K. Kabin, K.G. Powell, J. Comput. Phys. 177, 176 (2002). https://doi.org/10.1006/jcph.2002.7009

    Article  ADS  MathSciNet  Google Scholar 

  139. X. Meng, G. Toth, T.I. Gombosi, J. Comput. Phys. 231, 3610 (2012). https://doi.org/10.1016/j.jcp.2011.12.042

    Article  ADS  MathSciNet  Google Scholar 

  140. G. Toth, Y.J. Ma, T.I. Gombosi, J. Comput. Phys. 227, 6967 (2008). https://doi.org/10.1016/j.jcp.2008.04.010

    Article  ADS  MathSciNet  Google Scholar 

  141. Y. Ma, A.F. Nagy, K.C. Hansen, D.L. De Zeeuw, T.I. Gombosi, K. Powell, J. Geophys. Res. 107(A10), 1282 (2002). https://doi.org/10.1029/2002ja009293

    Article  Google Scholar 

  142. A. Glocer, G. TĂłth, Y. Ma, T. Gombosi, J.C. Zhang, L.M. Kistler, J. Geophys. Res. 114(A12), A12203 (2009). https://doi.org/10.1029/2009ja014418

    Article  ADS  Google Scholar 

  143. Z. Huang, G. Toth, B. van der Holst, Y. Chen, T.I. Gombosi, J. Comput. Phys. 387, 134 (2019). https://doi.org/10.1016/j.jcp.2019.02.023

    Article  ADS  MathSciNet  Google Scholar 

  144. T. Gombosi, D.L. De Zeeuw, K. Powell, A. Ridley, I. Sokolov, Q. Stout, G. Toth, in Space Plasma Simulation, ed. by J. BĂĽchner, C.T. Dum, M. Scholer, No. 615 in Lecture Notes in Physics (Springer, Berlin, 2003), p. 251. https://doi.org/10.1007/3-540-27039-6_36

  145. J.M. Burgers, Flow Equations for Composite Gases (Academic Press, New York, 1969)

    MATH  Google Scholar 

  146. R.W. Schunk, A.F. Nagy, Rev. Geophys. Space Phys. 18, 813 (1980)

    Article  ADS  Google Scholar 

  147. T. Gombosi, C. Rasmussen, J. Geophys. Res. 96, 7759 (1991). https://doi.org/10.1029/91ja00012

    Article  ADS  Google Scholar 

  148. T.I. Gombosi, Physics of the Space Environment (Cambridge University Press, Cambridge, 1998). https://doi.org/10.1017/cbo9780511529474

    Book  Google Scholar 

  149. U. Shumlak, J. Loverich, J. Comput. Phys. 187(2), 620 (2003). https://doi.org/10.1016/s0021-9991(03)00151-7

    Article  ADS  Google Scholar 

  150. G.F. Chew, M.L. Goldberger, F.E. Low, Proc. R. Soc. Lond. A Math. Phys. Eng. Sci. 236(1204), 112 (1956). https://doi.org/10.1098/rspa.1956.0116

    ADS  Google Scholar 

  151. I.I. Roussev, T.I. Gombosi, I.V. Sokolov, M. Velli, W. Manchester, D.L. DeZeeuw, P. Liewer, G. Toth, J.G. Luhmann, Astrophys. J. 595, L57 (2003)

    Article  ADS  Google Scholar 

  152. C. Downs, I.I. Roussev, B. van der Holst, N. Lugaz, I.V. Sokolov, T.I. Gombosi, Astrophys. J. 712(2), 1219 (2010). https://doi.org/10.1088/0004-637x/712/2/1219

    Article  ADS  Google Scholar 

  153. B. van der Holst, W.B. Manchester, R.A. Frazin, A.M. Vásquez, G. Toth, T.I. Gombosi, Astrophys. J. 725(1), 1373 (2010). https://doi.org/10.1088/0004-637x/725/1/1373

    Article  ADS  Google Scholar 

  154. C. Downs, I.I. Roussev, B. van der Holst, N. Lugaz, I.V. Sokolov, T.I. Gombosi, Astrophys. J. 728(1) (2011). https://doi.org/10.1088/0004-637x/728/1/2

  155. M. Jin, W.B. Manchester, B. van der Holst, J.R. Gruesbeck, R.A. Frazin, E. Landi, A.M. Vasquez, P.L. Lamy, A. Llebaria, A. Fedorov, G. Toth, T. Gombosi, Astrophys. J. 7745, 6 (2012). https://doi.org/10.1088/0004-637x/745/1/6

    Article  ADS  Google Scholar 

  156. R. Oran, E. Landi, B. van der Holst, S.T. Lepri, A.M. Vásquez, F.A. Nuevo, R. Frazin, W. Manchester, I. Sokolov, T.I. Gombosi, Astrophys. J. 806(1), 55 (2015). https://doi.org/10.1088/0004-637x/806/1/55

    Article  ADS  Google Scholar 

  157. X. Meng, B. van der Holst, G. Toth, T.I. Gombosi, Mon. Not. R. Astron. Soc. 454(4), 3697 (2015). https://doi.org/10.1093/mnras/stv2249

    Article  ADS  Google Scholar 

  158. J. Szente, G. Toth, W.B.M. IV, B. van der Holst, E. Landi, T.I. Gombosi, C.R. DeVore, S.K. Antiochos, Astrophys. J. 834(2), 123 (2017). https://doi.org/10.3847/1538-4357/834/2/123

  159. J. Szente, E. Landi, W.B. Manchester, G. Toth, B. van der Holst, T.I. Gombosi, Astrophys. J. Suppl. 242(1), 1 (2019). https://doi.org/10.3847/1538-4365/ab16d0

    Article  ADS  Google Scholar 

  160. B. van der Holst, W.B. Manchester, K.G. Klein, J.C. Kasper, Astrophys. J. 872(2), L18 (2019). https://doi.org/10.3847/2041-8213/ab04a5

    Article  ADS  Google Scholar 

  161. C.P.T. Groth, D.L. De Zeeuw, T.I. Gombosi, K.G. Powell, Space Sci. Rev. 87, 193 (1999)

    Article  ADS  Google Scholar 

  162. P.L. Israelevich, A.I. Ershkovich, T.I. Gombosi, Astron. Astrophys. 362, 379 (2000)

    ADS  Google Scholar 

  163. O. Cohen, I.V. Sokolov, I.I. Roussev, C.N. Arge, W.B. Manchester, T.I. Gombosi, R.A. Frazin, H. Park, M.D. Butala, F. Kamalabadi, M. Velli, Astrophys. J. Lett. 654(2), L163 (2006). https://doi.org/10.1086/511154

    Article  ADS  Google Scholar 

  164. O. Cohen, I.V. Sokolov, I.I. Roussev, T.I. Gombosi, J. Geophys. Res. 113(A3), A03104 (2008). https://doi.org/10.1029/2007ja012797

    Article  ADS  Google Scholar 

  165. R.M. Evans, M. Opher, R. Oran, B. van der Holst, I.V. Sokolov, R. Frazin, T.I. Gombosi, A. Vasquez, Astrophys. J. 756(2) (2012). https://doi.org/10.1088/0004-637x/756/2/155

  166. I.V. Sokolov, B. van der Holst, W.B. Manchester, D.C.S. Ozturk, J. Szente, A.R. Taktakishvili, G. Toth, M. Jin, T.I. Gombosi, Threaded-field-lines model for the low solar corona powered by the Alfvén wave turbulence (2016)

    Google Scholar 

  167. C.P.T. Groth, D.L. De Zeeuw, T.I. Gombosi, K.G. Powell, Adv. Space Res. 26(5), 793 (2000). https://doi.org/10.1016/s0273-1177(00)00008-9

    Article  ADS  Google Scholar 

  168. I.I. Roussev, T.G. Forbes, T.I. Gombosi, I.V. Sokolov, D.L. DeZeeuw, J. Birn, Astrophys. J. Lett. 588, L45 (2003). https://doi.org/10.1086/375442

    Article  ADS  Google Scholar 

  169. W.B. Manchester, T.I. Gombosi, I.I. Roussev, D.L.D. Zeeuw, I.V. Sokolov, K.G. Powell, G. Toth, M. Opher, J. Geophys. Res. 109(A1), 1102 (2004). https://doi.org/10.1029/2002ja009672

    Article  Google Scholar 

  170. I.I. Roussev, I.V. Sokolov, T.G. Forbes, T.I. Gombosi, M.A. Lee, J.I. Sakai, Astrophys. J. Lett. 605, L73 (2004). https://doi.org/10.1086/392504

    Article  ADS  Google Scholar 

  171. N. Lugaz, W.B. Manchester, T.I. Gombosi, Astrophys. J. 634, 651 (2005). https://doi.org/10.1086/491782

    Article  ADS  Google Scholar 

  172. N. Lugaz, W.B. Manchester, IV, I.I. Roussev, G. Toth, T.I. Gombosi, Astrophys. J. 659(1), 788 (2007). https://doi.org/10.1086/512005

    Article  ADS  Google Scholar 

  173. N. Lugaz, W.B. Manchester, I.I. Roussev, T.I. Gombosi, J. Atmos. Solar Terr. Phys. 70(2-4), 598 (2008). https://doi.org/10.1016/j.jastp.2007.08.033

    Article  ADS  Google Scholar 

  174. W.B. Manchester, A. Vourlidas, G. Toth, N. Lugaz, I.I. Roussev, I.V. Sokolov, T.I. Gombosi, D.L.D. Zeeuw, M. Opher, Astrophys. J. 684(2), 1448–1460 (2008). https://doi.org/10.1086/590231

    Article  ADS  Google Scholar 

  175. B. van der Holst, W. Manchester, IV, I.V. Sokolov, G. Toth, T.I. Gombosi, D. DeZeeuw, O. Cohen, Astrophys. J. 693(2), 1178 (2009). https://doi.org/10.1088/0004-637x/693/2/1178

    Article  ADS  Google Scholar 

  176. O. Cohen, J.J. Drake, V.L. Kashyap, I.V. Sokolov, T.I. Gombosi, Astrophys. J. Lett. 723(1), L64 (2010). https://doi.org/10.1088/2041-8205/723/1/l64

    Article  ADS  Google Scholar 

  177. N. Lugaz, C. Downs, K. Shibata, I.I. Roussev, A. Asai, T. Gombosi, Astrophys. J. 738(2), 127 (2011). https://doi.org/10.1088/0004-637x/738/2/127

    Article  ADS  Google Scholar 

  178. W.B. Manchester, B. van der Holst, G. Toth, T.I. Gombosi, Astrophys. J. 756(1), 81 (2012). https://doi.org/10.1088/0004-637x/756/1/81

    Article  ADS  Google Scholar 

  179. M. Jin, W. Manchester, B. van der Holst, R. Oran, I. Sokolov, G. Toth, T. Gombosi, Y. Liu, X. Sun, Astrophys. J. 773(1), 50 (2013). https://doi.org/10.1088/0004-637x/773/1/50

    Article  ADS  Google Scholar 

  180. M. Jin, W.B. Manchester, B. van der Holst, I. Sokolov, G. Toth, A. Vourlidas, C.A. de Koning, T.I. Gombosi, Astrophys. J. 834(2), 172 (2017). https://doi.org/10.3847/1538-4357/834/2/172

    Article  ADS  Google Scholar 

  181. I.V. Sokolov, I.I. Roussev, T.I. Gombosi, M.A. Lee, J. KĂłta, T.G. Forbes, W.B. Manchester IV, J.I. Sakai, Astrophys. J. Lett. 616, L171 (2004). https://doi.org/10.1086/426812

    Article  ADS  Google Scholar 

  182. J. Kóta, W.B. Manchester, J.R. Jokipii, D.L. de Zeeuw, and T.I. Gombosi, Simulation of SEP Acceleration and Transport at CME-driven Shocks, AIP Conference Proceedings 781, 201–206 (2005). https://doi.org/10.1063/1.2032697

    Article  ADS  Google Scholar 

  183. W. Manchester, T.I. Gombosi, D.L. De Zeeuw, I.V. Sokolov, I.I. Roussev, K.G. Powell, J. KĂłta, G. Toth, T.H. Zurbuchen, Astrophys. J. 622, 1225 (2005). https://doi.org/10.1086/427768

    Article  ADS  Google Scholar 

  184. I.V. Sokolov, I.I. Roussev, L.A. Fisk, M.A. Lee, T.I. Gombosi, J.I. Sakai, Astrophys. J. 642(1), L81 (2006). https://doi.org/10.1086/504406

    Article  ADS  Google Scholar 

  185. I.V. Sokolov, I.I. Roussev, M. Skender, T.I. Gombosi, A.V. Usmanov, Astrophys. J. 696(1), 261 (2009). https://doi.org/10.1088/0004-637x/696/1/261

    Article  ADS  Google Scholar 

  186. D. Borovikov, I.V. Sokolov, I.I. Roussev, A. Taktakishvili, T.I. Gombosi, Astrophys. J. 864(1), 88 (2018). https://doi.org/10.3847/1538-4357/aad68d

    Article  ADS  Google Scholar 

  187. T.J. Linde, T.I. Gombosi, P.L. Roe, K.G. Powell, D.L. De Zeeuw, J. Geophys. Res. 103(A2), 1889 (1998). https://doi.org/10.1029/97ja02144

    Article  ADS  Google Scholar 

  188. P.L. Israelevich, T.I. Gombosi, A.I. Ershkovich, K.C. Hansen, C. Groth, D.L. De Zeeuw, K.G. Powell, Astron. Astrophys. 376(1), 288 (2001)

    Article  ADS  Google Scholar 

  189. M. Opher, P. Liewer, T. Gombosi, W.B. Manchester IV, D. De Zeeuw, I. Sokolov, G. Toth, Astrophys. J. 591(1), L61 (2003). https://doi.org/10.1086/376960

    Article  ADS  Google Scholar 

  190. M. Opher, P. Liewer, M. Velli, L. Bettarini, T. Gombosi, W. Manchester IV, D. De Zeeuw, G. Toth, I. Sokolov, Astrophys. J. 611(1), 575 (2004). https://doi.org/10.1086/422165

    Article  ADS  Google Scholar 

  191. M. Opher, E.C. Stone, T.I. Gombosi, Science 316(5826), 875 (2007). https://doi.org/10.1126/science.1139480

    Article  ADS  Google Scholar 

  192. M. Opher, J. Drake, M. Swisdak, B. Zieger, G. Toth, Astrophys. J. Lett. 839(1), L12 (2017). https://doi.org/10.3847/2041-8213/aa692f

    Article  ADS  Google Scholar 

  193. C.P.T. Groth, D.L. De Zeeuw, T.I. Gombosi, K.G. Powell, J. Geophys. Res. 105(A11), 25053 (2000). https://doi.org/10.1029/2000ja900093

    Article  ADS  Google Scholar 

  194. T.I. Gombosi, D.L. De Zeeuw, C.P.T. Groth, K.G. Powell, Q.F. Stout, J. Atmos. Solar Terr. Phys. 62, 1515 (2000). https://doi.org/10.1016/s1364-6826(00)00091-2

    Article  ADS  Google Scholar 

  195. W.B. Manchester, T.I. Gombosi, I. Roussev, A. Ridley, D.L.D. Zeeuw, I.V. Sokolov, K.G. Powell, G. Toth, J. Geophys. Res. 109(A2), A02107 (2004). https://doi.org/10.1029/2003ja010150

    Article  ADS  Google Scholar 

  196. G. Toth, D.L. De Zeeuw, T.I. Gombosi, W.B. Manchester, A.J. Ridley, I.V. Sokolov, I.I. Roussev, Space Weather 5(6), S06003 (2007). https://doi.org/10.1029/2006sw000272

    Article  ADS  Google Scholar 

  197. M. Jin, W.B. Manchester, B. van der Holst, I. Sokolov, G. Toth, R.E. Mullinix, A. Taktakishvili, A. Chulaki, T.I. Gombosi, Astrophys. J. 834(2), 173 (2017). https://doi.org/10.3847/1538-4357/834/2/173. https://arxiv.org/abs/1605.05360

  198. T.I. Gombosi, D.L. De Zeeuw, C.P.T. Groth, K.G. Powell, P. Song, in Physics of Space Plasmas, vol. 15, ed. by T. Chang, J.R. Jasperse (MIT Press, Cambridge, 1998), pp. 121–128

    Google Scholar 

  199. P. Song, D.L. De Zeeuw, T.I. Gombosi, C.P.T. Groth, K.G. Powell, J. Geophys. Res. 104(A12), 28361 (1999)

    Article  ADS  Google Scholar 

  200. T.I. Gombosi, D.L. De Zeeuw, C.P.T. Groth, K.G. Powell, Adv. Space Res. 26(1), 139 (2000). https://doi.org/10.1016/s0273-1177(99)01040-6

    Article  ADS  Google Scholar 

  201. A. Ridley, J. Atmos. Solar Terr. Phys. 62, 757 (2000)

    Article  ADS  Google Scholar 

  202. M.M. Kuznetsova, M. Hesse, L. Rastaetter, A. Taktakishvili, G. Toth, D.L. De Zeeuw, A. Ridley, T.I. Gombosi, J. Geophys. Res. 112(A10), A10210 (2007). https://doi.org/10.1029/2007ja012316

    Article  ADS  Google Scholar 

  203. X. Meng, G. Toth, M.W. Liemohn, T.I. Gombosi, A. Runov, J. Geophys. Res. 117, A08216 (2012). https://doi.org/10.1029/2012ja017791

    ADS  Google Scholar 

  204. X. Meng, G. Toth, A. Glocer, M.C. Fok, T.I. Gombosi, J. Geophys. Res. 118, 5639 (2013). https://doi.org/10.1002/jgra.50539

    Article  Google Scholar 

  205. D.L. De Zeeuw, T.I. Gombosi, C.P.T. Groth, K.G. Powell, Q.F. Stout, IEEE Trans. Plasma Sci. 28, 1956 (2000). https://doi.org/10.1109/27.902224

    Article  ADS  Google Scholar 

  206. G. Toth, X. Meng, T.I. Gombosi, L. Rastätter, J. Geophys. Res. 119, 310–321 (2014). https://doi.org/10.1002/2013ja019456

    Google Scholar 

  207. M.W. Liemohn, D.L. De Zeeuw, R. Ilie, N.Y. Ganushkina, Geophys. Res. Lett. 38, L20106 (2011). https://doi.org/10.1029/2011gl049611

    Article  ADS  Google Scholar 

  208. J.D. Haiducek, D.T. Welling, N.Y. Ganushkina, S.K. Morley, D.S. Ozturk, Space Weather 15(12), 1567 (2017). https://doi.org/10.1002/2017sw001695

    Article  ADS  Google Scholar 

  209. K. Kabin, T.I. Gombosi, D.L. De Zeeuw, K.G. Powell, Icarus 143, 397 (2000). https://doi.org/10.1006/icar.1999.6252

    Article  ADS  Google Scholar 

  210. K. Kabin, M.H. Heimpel, R. Rankin, J.M. Aurnou, N. Gomez-Perez, J. Paral, T.I. Gombosi, T.H. Zurbuchen, P.L. Koehn, D.L. DeZeeuw, Icarus 195(1), 1 (2008). https://doi.org/10.1016/j.icarus.2007.11.028

    Article  ADS  Google Scholar 

  211. X. Jia, J.A. Slavin, T.I. Gombosi, L.K.S. Daldorff, G. Toth, B. van der Holst, J. Geophys. Res. 120(6), 4763 (2015). https://doi.org/10.1002/2015ja021143

    Article  Google Scholar 

  212. X. Jia, J.A. Slavin, G. Poh, G.A. DiBraccio, G. Toth, Y. Chen, J.M. Raines, T.I. Gombosi, J. Geophys. Res. 124(1), 229 (2019). https://doi.org/10.1029/2018ja026166

    Article  Google Scholar 

  213. R. Bauske, A.F. Nagy, T.I. Gombosi, D.L. De Zeeuw, K.G. Powell, J.G. Luhmann, J. Geophys. Res. 103(A10), 23625 (1998). https://doi.org/10.1029/98ja01791

    Article  ADS  Google Scholar 

  214. Y. Ma, A.F. Nagy, C. Russell, R.J. Strangeway, H.Y. Wei, G. Toth, J. Geophys. Res. 118, 321 (2013). https://doi.org/10.1029/2012ja018265

    Article  Google Scholar 

  215. Y. Liu, A.F. Nagy, C.P.T. Groth, D.L. De Zeeuw, T.I. Gombosi, K.G. Powell, Geophys. Res. Lett. 26(17), 2689 (1999). https://doi.org/10.1029/1999gl900584

    Article  ADS  Google Scholar 

  216. R. Bauske, A.F. Nagy, D.L. Dezeeuw, T.I. Gombosi, K.G. Powell, Adv. Space Res. 26, 1571 (2000). https://doi.org/10.1016/s0273-1177(00)00105-8

    Article  ADS  Google Scholar 

  217. M.W. Liemohn, J. Geophys. Res. 111, A11s01 (2006). https://doi.org/10.1029/2006ja011970

  218. Y. Ma, X. Fang, J.S. Halekas, S. Xu, C.T. Russell, J.G. Luhmann, A.F. Nagy, G. Toth, C.O. Lee, C. Dong, J.R. Espley, J.P. McFadden, D.L. Mitchell, B.M. Jakosky, Geophys. Res. Lett. 45(15), 7248 (2018). https://doi.org/10.1029/2018gl077707

    Article  ADS  Google Scholar 

  219. L.H. Regoli, C. Dong, Y. Ma, E. Dubinin, W.B. Manchester, S.W. Bougher, D.T. Welling, J. Geophys. Res. 123(9), 7370 (2018). https://doi.org/10.1029/2017ja025117

    Article  Google Scholar 

  220. T. Cravens, J. Waite, T. Gombosi, N. Lugaz, G. Gladstone, B. Mauk, R. MacDowall, J. Geophys. Res. 108, 1465 (2003). https://doi.org/10.1029/2003ja010050

    Article  Google Scholar 

  221. Y. Sarkango, X. Jia, G. Toth, J. Geophys. Res. 124 (2019). https://doi.org/10.1029/2019ja026787

  222. K.C. Hansen, T.I. Gombosi, D.L. DeZeeuw, C.P.T. Groth, K.G. Powell, Adv. Space Res. 26(10), 1681 (2000). https://doi.org/10.1016/s0273-1177(00)00078-8

    Article  ADS  Google Scholar 

  223. T.I. Gombosi, K.C. Hansen, Science 307, 1224 (2005). https://doi.org/10.1126/science.1108226

    Article  ADS  Google Scholar 

  224. K.C. Hansen, A.J. Ridley, T.I. Gombosi, G. Hospodarsky, Geophys. Res. Lett. 32(20), L20s06 (2005). https://doi.org/10.1029/2005gl022835

  225. A. Glocer, T.I. Gombosi, G. Toth, K.C. Hansen, A.J. Ridley, A. Nagy, J. Geophys. Res. 112, A01304 (2007). https://doi.org/10.1029/2006ja011755

    Article  ADS  Google Scholar 

  226. T.I. Gombosi, A.P. Ingersoll, Science 327(5972), 1476 (2010). https://doi.org/10.1126/science.1179119

    Article  ADS  Google Scholar 

  227. B. Zieger, K.C. Hansen, T.I. Gombosi, D.L. De Zeeuw, J. Geophys. Res. 115 (2010). https://doi.org/10.1029/2009ja014951

  228. X. Jia, M.G. Kivelson, T.I. Gombosi, J. Geophys. Res. 117, A04215 (2012). https://doi.org/10.1029/2011ja017367

    Article  ADS  Google Scholar 

  229. X. Jia, K.C. Hansen, T.I. Gombosi, M.G. Kivelson, G. Toth, D.L. DeZeeuw, A.J. Ridley, J. Geophys. Res. 117, A05225 (2012). https://doi.org/10.1029/2012ja017575

    Article  ADS  Google Scholar 

  230. G. Toth, D. Kovács, K.C. Hansen, T.I. Gombosi, J. Geophys. Res. 109(A11), A11210 (2004). https://doi.org/10.1029/2004ja010406

    Article  ADS  Google Scholar 

  231. T.I. Gombosi, D.L. De Zeeuw, R.M. Häberli, K.G. Powell, J. Geophys. Res. 101, 15233 (1996). https://doi.org/10.1029/96ja01075

    Article  ADS  Google Scholar 

  232. R.M. Häberli, T.I. Gombosi, D.L. De Zeuuw, M.R. Combi, K.G. Powell, Science 276, 939 (1997). https://doi.org/10.1126/science.276.5314.939

    Article  ADS  Google Scholar 

  233. T.I. Gombosi, K.C. Hansen, D.L. De Zeeuw, M.R. Combi, K.G. Powell, Earth Moon Planets 79(1/3), 179 (1999). https://doi.org/10.1023/a:1006289418660

    Article  ADS  Google Scholar 

  234. K.C. Hansen, T. Bagdonat, U. Motschmann, C. Alexander, M.R. Combi, T.E. Cravens, T.I. Gombosi, Y. Jia, I.P. Robertson, Space Sci. Rev. 128, 133 (2007). https://doi.org/10.1007/s11214-006-9142-6

    Article  ADS  Google Scholar 

  235. M. Rubin, K.C. Hansen, M.R. Combi, L.K.S. Daldorff, T.I. Gombosi, V.M. Tenishev, J. Geophys. Res. 117, A06227 (2012). https://doi.org/10.1029/2011ja017300

    Article  ADS  Google Scholar 

  236. T.I. Gombosi, Geophys. Monogr. 207, 169 (2015). https://doi.org/10.1002/9781118842324.ch10

    Article  ADS  Google Scholar 

  237. Z. Huang, G. Toth, T.I. Gombosi, X. Jia, M. Rubin, N. Fougere, V. Tenishev, M.R. Combi, A. Bieler, K.C. Hansen, Y. Shou, K. Altwegg, J. Geophys. Res. 121(5), 4247 (2016). https://doi.org/10.1002/2015ja022333

    Article  Google Scholar 

  238. Z. Huang, G. Toth, T. Gombosi, A. Bieler, M. Combi, K. Hansen, X. Jia, N. Fougere, Y. Shou, T. Cravens, et al., Mon. Not. R. Astron. Soc. 462(Suppl_1), S468 (2016). https://doi.org/10.1093/mnras/stw3118

  239. M.R. Combi, K. Kabin, T. Gombosi, D. De Zeeuw, K. Powell, J. Geophys. Res. 103(A5), 9071 (1998). https://doi.org/10.1029/98ja00073

    Article  ADS  Google Scholar 

  240. K. Kabin, M.R. Combi, T.I. Gombosi, D.L. De Zeeuw, K.C. Hansen, K.G. Powell, Planet. Space Sci. 49, 337 (2001). https://doi.org/10.1016/s0032-0633(00)00155-0

    Article  ADS  Google Scholar 

  241. K. Kabin, M.R. Combi, T.I. Gombosi, A.F. Nagy, D.L. De Zeeuw, K.G. Powell, J. Geophys. Res. 104(A9), 19983 (1999). https://doi.org/10.1029/1999ja900263

    Article  ADS  Google Scholar 

  242. Y. Liu, A. Nagy, K. Kabin, M. Combi, D. DeZeeuw, T. Gombosi, K. Powell, Geophys. Res. Lett. 27(12), 1791 (2000). https://doi.org/10.1029/1999gl003734

    Article  ADS  Google Scholar 

  243. M. Rubin, X. Jia, K. Altwegg, M.R. Combi, L.K.S. Daldorff, T.I. Gombosi, K. Khurana, M.G. Kivelson, V.M. Tenishev, G. Toth, B. van der Holst, P. Wurz, J. Geophys. Res. 120, 3503–3524 (2015). https://doi.org/10.1002/2015ja021149

    Google Scholar 

  244. G. Toth, X. Jia, S. Markidis, B. Peng, Y. Chen, L. Daldorff, V. Tenishev, D. Borovikov, J. Haiducek, T. Gombosi, A. Glocer, J. Dorelli, J. Geophys. Res. 121(2), 1273 (2016). https://doi.org/10.1002/2015ja021997

    Article  Google Scholar 

  245. H. Zhou, G. TĂłth, X. Jia, Y. Chen, S. Markidis, J. Geophys. Res. 124 (2019). https://doi.org/10.1029/2019ja026643

  246. K. Kabin, T.I. Gombosi, D.L. De Zeeuw, K.G. Powell, P.L. Israelevich, J. Geophys. Res. 104(A2), 2451 (1999). https://doi.org/10.1029/1998ja900080

    Article  ADS  Google Scholar 

  247. K. Kabin, P.L. Israelevich, A.I. Ershkovich, F.M. Neubauer, T.I. Gombosi, D.L. De Zeeuw, K.G. Powell, J. Geophys. Res. 105, 10761 (2000). https://doi.org/10.1029/2000ja900012

    Article  ADS  Google Scholar 

  248. A.F. Nagy, Y. Liu, K.C. Hansen, K. Kabin, T.. Gombosi, M.. Combi, D.L. De Zeeuw, K.G. Powell, A. Kliore, J. Geophys. Res. 106, 6151 (2001). https://doi.org/10.1029/2000ja000183

    Article  ADS  Google Scholar 

  249. Y.J. Ma, A.F. Nagy, G. Toth, T.E. Cravens, C.T. Russell, T.I. Gombosi, J.E. Wahlund, F.J. Crary, A.J. Coates, C.L. Bertucci, F.M. Neubauer, Geophys. Res. Lett. 34(24), L24s10 (2007). https://doi.org/10.1029/2007gl031627

  250. Y.D. Jia, C.T. Russell, K.K. Khurana, G. Toth, J.S. Leisner, T.I. Gombosi, J. Geophys. Res. 115, A04214 (2010). https://doi.org/10.1029/2009ja014630

    ADS  Google Scholar 

  251. Y.D. Jia, C.T. Russell, K.K. Khurana, Y.J. Ma, D. Najib, T.I. Gombosi, J. Geophys. Res. 115, A04215 (2010). https://doi.org/10.1029/2009ja014873

    ADS  Google Scholar 

  252. Y.D. Jia, C.T. Russell, K.K. Khurana, Y.J. Ma, W. Kurth, T.I. Gombosi, J. Geophys. Res. 115, A12243 (2010). https://doi.org/10.1029/2010ja015534

    ADS  Google Scholar 

  253. R.P. Drake, F.W. Doss, R.G. McClarren, M.L. Adams, N. Amato, D. Bingham, C.C. Chou, C. DiStefano, K. Fidkowski, B. Fryxell, T.I. Gombosi, M.J. Grosskopf, J.P. Holloway, B. van der Holst, C.M. Huntington, S. Karni, C.M. Krauland, C.C. Kuranz, E. Larsen, B. van Leer, B. Mallick, D. Marion, W. Martin, J.E. Morel, E.S. Myra, V. Nair, K.G. Powell, L. Rauchwerger, P. Roe, E. Rutter, I.V. Sokolov, Q. Stout, B.R. Torralva, G. Toth, K. Thornton, A.J. Visco, High Energy Density Phys. 7(3), 130 (2011). https://doi.org/10.1016/j.hedp.2011.03.005

  254. B. van der Holst, G. Toth, I.V. Sokolov, K.G. Powell, J.P. Holloway, E.S. Myra, Q. Stout, M.L. Adams, J.E. Morel, S. Karni, B. Fryxell, R.P. Drake, Astrophys. J. Suppl. 194(2), 23 (2011). https://doi.org/10.1088/0067-0049/194/2/23

    Article  ADS  Google Scholar 

  255. B. van der Holst, G. Toth, I.V. Sokolov, L.K.S. Daldorff, K. Powell, R.P. Drake, High Energy Density Phys. 8(2), 161 (2012). https://doi.org/10.1016/j.hedp.2012.02.001

    Article  ADS  Google Scholar 

  256. A. Pulkkinen, L. Rastätter, M. Kuznetsova, H. Singer, C. Balch, D. Weimer, G. Toth, A. Ridley, T. Gombosi, M. Wiltberger, J. Raeder, R. Weigel, Space Weather 11(6), 369 (2013). https://doi.org/10.1002/swe.20056

    Article  ADS  Google Scholar 

  257. A. Glocer, L. Rastätter, M. Kuznetsova, A. Pulkkinen, H.J. Singer, C. Balch, D. Weimer, D. Welling, M. Wiltberger, J. Raeder, R.S. Weigel, J. McCollough, S. Wing, Space Weather 14(7), 469 (2016). https://doi.org/10.1002/2016sw001387

    Article  ADS  Google Scholar 

  258. D.T. Welling, A.J. Ridley, Space Weather 8, S03002 (2010). https://doi.org/10.1029/2009sw000494

    Article  ADS  Google Scholar 

  259. S. Markidis, G. Lapenta, Rizwan-uddin, Math. Comput. Simul. 80(7), 1509 (2010). https://doi.org/10.1016/j.matcom.2009.08.038. http://www.sciencedirect.com/science/article/pii/S0378475409002444. Multiscale modeling of moving interfaces in materials

  260. Y. Chen, G. Toth, P. Cassak, X. Jia, T.I. Gombosi, J.A. Slavin, S. Markidis, I.B. Peng, V.K. Jordanova, M.G. Henderson, J. Geophys. Res. 122(10), 10,318 (2017). https://doi.org/10.1002/2017ja024186

    Google Scholar 

  261. G. Toth, Y. Chen, T.I. Gombosi, P. Cassak, S. Markidis, I.B. Peng, J. Geophys. Res. 122(10), 10,336 (2017). https://doi.org/10.1002/2017ja024189

    Article  Google Scholar 

  262. G. Lapenta, J. Comput. Phys. 334, 349 (2017). https://doi.org/10.1016/j.jcp.2017.01.002

    Article  ADS  MathSciNet  Google Scholar 

  263. Y. Chen, G. Toth, J. Comput. Phys. 386, 632 (2019). https://doi.org/10.1016/j.jcp.2019.02.032

    Article  ADS  MathSciNet  Google Scholar 

  264. J.U. Brackbill, D. Forslund, J. Comput. Phys. 46, 271 (1982). https://doi.org/10.1016/0021-9991(82)90016-x

    Article  ADS  MathSciNet  Google Scholar 

  265. J.U. Brackbill, D.W. Forslund, in Multiple Time Scales, ed. by J.U. Brackbill, B.I. Cohen (Academic Press, New York, 1986), pp. 271–310

    Google Scholar 

  266. J.U. Brackbill, G. Lapenta, Comm. Comput. Phys. 4, 433 (2008)

    Google Scholar 

  267. G. Lapenta, J.U. Brackbill, P. Ricci, Phys. Plasmas 13, 055904 (2006). https://doi.org/10.1063/1.2173623

    Article  ADS  Google Scholar 

  268. G. Lapenta, in Space Plasma Simulation: Approaches, Codes and Applications, ed. by J. BĂĽchner (Springer, Berlin, 2021)

    Google Scholar 

  269. P. Ricci, G. Lapenta, J.U. Brackbill, Geophys. Res. Lett. 29(23), 3 (2002). https://doi.org/10.1029/2002gl015314

    Article  Google Scholar 

  270. M. Ashour-Abdalla, G. Lapenta, R. Walker, M. El-Alaoui, H. Liang, M. Zhou, J. Berchem, M.L. Goldstein, Geophys. Res. Lett. 43(12), 6005 (2016). https://doi.org/10.1002/2016gl069355

    Article  ADS  Google Scholar 

  271. R.J. Walker, G. Lapenta, H. Liang, J. Berchem, M. El-Alaoui, M.L. Goldstein, J. Geophys. Res. 123(10), 8241 (2018). https://doi.org/10.1029/2018ja025509

    Article  Google Scholar 

  272. V. Jordanova, G. Delzanno, M. Henderson, H. Godinez, C. Jeffery, E. Lawrence, S. Morley, J. Moulton, L. Vernon, J. Woodroffe, T. Brito, M. Engel, C. Meierbachtol, D. Svyatsky, Y. Yu, G. Toth, D. Welling, Y. Chen, J. Haiducek, S. Markidis, J. Albert, J. Birn, M. Denton, R. Horne, J. Atmos. Solar Terr. Phys. 177, 148 (2018). https://doi.org/10.1016/j.jastp.2017.11.006

    Article  ADS  Google Scholar 

  273. Y. Chen, G. TĂłth, X. Jia, J.A. Slavin, W. Sun, S. Markidis, T.I. Gombosi, J.M. Raines, J. Geophys. Res. 124(11), 8954 (2019). https://doi.org/10.1029/2019ja026840

    Article  Google Scholar 

  274. Y. Ma, C.T. Russell, G. Toth, Y. Chen, A.F. Nagy, Y. Harada, J. McFadden, J.S. Halekas, R. Lillis, J.E.P. Connerney, J. Espley, G.A. DiBraccio, S. Markidis, I.B. Peng, X. Fang, B.M. Jakosky, J. Geophys. Res. 123(5), 3742 (2018). https://doi.org/10.1029/2017ja024729

    Article  Google Scholar 

  275. J.L. Burch, R.B. Torbert, T.D. Phan, L.J. Chen, T.E. Moore, R.E. Ergun, J.P. Eastwood, D.J. Gershman, P.A. Cassak, M.R. Argall, S. Wang, M. Hesse, C.J. Pollock, B.L. Giles, R. Nakamura, B.H. Mauk, S.A. Fuselier, C.T. Russell, R.J. Strangeway, J.F. Drake, M.A. Shay, Y.V. Khotyaintsev, P.A. Lindqvist, G. Marklund, F.D. Wilder, D.T. Young, K. Torkar, J. Goldstein, J.C. Dorelli, L.A. Avanov, M. Oka, D.N. Baker, A.N. Jaynes, K.A. Goodrich, I.J. Cohen, D.L. Turner, J.F. Fennell, J.B. Blake, J. Clemmons, M. Goldman, D. Newman, S.M. Petrinec, K.J. Trattner, B. Lavraud, P.H. Reiff, W. Baumjohann, W. Magnes, M. Steller, W. Lewis, Y. Saito, V. Coffey, M. Chandler, Science 352, 6290 (2016). https://doi.org/10.1126/science.aaf2939

  276. S.K. Godunov, Mat. Sb. 47(3), 271 (1959). In Russian

    MathSciNet  Google Scholar 

  277. B. van Leer, in Lecture Notes in Physics, vol. 18 (Springer, Berlin, 1973), pp. 163–168. https://doi.org/10.1007/BFb0118673

    Google Scholar 

  278. B. van Leer, J. Comput. Phys. 14(4), 361 (1974). https://doi.org/10.1016/0021-9991(74)90019-9

    Article  ADS  Google Scholar 

  279. B. van Leer, J. Comput. Phys. 23(3), 263 (1977). https://doi.org/10.1016/0021-9991(77)90094-8

    Article  ADS  Google Scholar 

  280. B. van Leer, J. Comput. Phys. 23(3), 276 (1977). https://doi.org/10.1016/0021-9991(77)90095-x

    Article  ADS  Google Scholar 

  281. B. van Leer, J. Comput. Phys. 32(1), 101 (1979). https://doi.org/10.1016/0021-9991(79)90145-1

    Article  ADS  Google Scholar 

  282. P.L. Roe, J. Comput. Phys. 43, 357 (1981). https://doi.org/10.1006/jcph.1997.5705

    Article  ADS  MathSciNet  Google Scholar 

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Acknowledgements

This work was supported by the NSF Strategic Capabilities grant AGS-1322543, by the NASA Heliophysics Strategic Capabilities grant 80NSSC19K0373, and by the NASA Magnetospheric Multi-Scale mission contract 80NSSC19K0564.

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Gombosi, T.I. et al. (2023). Adaptive Global Magnetohydrodynamic Simulations. In: BĂĽchner, J. (eds) Space and Astrophysical Plasma Simulation. Springer, Cham. https://doi.org/10.1007/978-3-031-11870-8_7

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