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Intermediate Shocks in 3D MHD Bow Shock Flows

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Godunov Methods
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Abstract

Numerical simulations are presented of stationary magneto-hydrodynamic (MHD) bow shock flows around perfectly conducting rigid spheres. When the upstream magnetic field is strong, several consecutive interacting shock fronts of different MHD shock type are needed to channel the flow around the obstacle. This new bow shock flow topology contains non-classical (overcompressive) intermediate shock segments. This seems to be the first confirmation in 3D of recent theoretical results on the admissibility of intermediate shocks for MHD flows with small dissipation.

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References

  • De Sterck H (1999). Numerical simulation and analysis of magnetically dominated MHD bow shock flows with applications in space physics. PhD thesis, K.U. Leuven, Belgium, and NCAR, Boulder, Colorado, USA.

    MATH  Google Scholar 

  • De Sterck H, Low B C, and Poedts S (1998). Complex magnetohydrodynamic bow shock topology in field-aligned low-β flow around a perfectly conducting cylinder. Phys. Plasmas5(11), pp 4015–4027.

    Article  Google Scholar 

  • De Sterck H and Poedts S (1999). Stationary slow shocks in the magnetosheath for solar wind conditions with ß < 2/γ: Three-dimensional MHD simulations. J. Geophys. Res., 104(A10), pp 22,401-22,406.

    Article  Google Scholar 

  • Falle S A E G, Komissarov S S, and Joarder P (1998). A multidimensional upwind scheme for magnetohydrodynamics. Mon. Not. R. Astron. Soc.297, pp 265–277.

    Article  Google Scholar 

  • Freistuehler H (1998). Small amplitude intermediate magnetohydrodynamic shock waves. Phys. ScriptaT74, pp 26–29.

    Article  Google Scholar 

  • Myong R S and Roe P L (1997). Shock waves and rarefaction waves in magnetohydrodynamics. Part 1. A model system. J. Plasma Physics58, pp 485–519.

    Article  Google Scholar 

  • Powell K G, Roe P L, Myong R S, Gombosi T I, and De Zeeuw D L (1995). An upwind scheme for magnetohydrodynamics. AIAA Paper95–1704-CP.

    Google Scholar 

  • Wu C C (1991). New theory of MHD shock waves. In Viscous profiles and numerical methods for shock waves, Siam Proceedings Series, pp 209–236.

    Google Scholar 

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© 2001 Springer Science+Business Media New York

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De Sterck, H., Poedts, S. (2001). Intermediate Shocks in 3D MHD Bow Shock Flows. In: Toro, E.F. (eds) Godunov Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-0663-8_26

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  • DOI: https://doi.org/10.1007/978-1-4615-0663-8_26

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-5183-2

  • Online ISBN: 978-1-4615-0663-8

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