2010
DOI: 10.1017/s0022377810000115
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Parameter regimes for slow, intermediate and fast MHD shocks

Abstract: We investigate under which parameter regimes the magnetohydrodynamic (MHD) Rankine-Hugoniot conditions, which describe discontinuous solutions to the MHD equations, allow for slow, intermediate and fast shocks. We derive limiting values for the upstream and downstream shock parameters for which shocks of a given shock-type can occur. We revisit this classical topic in nonlinear MHD dynamics, augmenting the recent time reversal duality finding by in the usual shock frame parametrization.

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Cited by 15 publications
(20 citation statements)
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References 26 publications
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“…The fast-shock solution is obtained from the cubic equation (2.36) by substituting this M 0 . Although the roots have non-trivial structure in general as discussed in Delmont and Keppens (2011), we can easily pick up the correct root that corresponds to a fast shock as described in Appendix A. Note also that (3.3) is applicable to both left and right fast waves, while we omitted plus and minus signs from the variables, M 0 ,ĉ f 0 , ψ f , s and s max , for simplicity.…”
Section: Parameterization Of Regular Wavesmentioning
confidence: 99%
“…The fast-shock solution is obtained from the cubic equation (2.36) by substituting this M 0 . Although the roots have non-trivial structure in general as discussed in Delmont and Keppens (2011), we can easily pick up the correct root that corresponds to a fast shock as described in Appendix A. Note also that (3.3) is applicable to both left and right fast waves, while we omitted plus and minus signs from the variables, M 0 ,ĉ f 0 , ψ f , s and s max , for simplicity.…”
Section: Parameterization Of Regular Wavesmentioning
confidence: 99%
“…There is an extended literature on the theory of radiative hydrodynamical shock waves generally (Pai 1966;Castor 2004;Li et al 2011), as well as in the optically thick medium (Drake 2007), and for the mixed, optically thick-thin case (McClarren et al 2010;Doss et al 2011).…”
Section: Onićmentioning
confidence: 99%
“…Auluck and Tandon (1966) analyzed the radiation effects on the propagation of a plane perpendicular MHD shocks in a plasma, and Verma and Srivastava (1972) discussed magnetoradiative supersonic flow with variable specific heat. The analysis of parameter regimes for slow, intermediate, and fast MHD shocks were done by Delmont and Keppens (2011). The analysis of parameter regimes for slow, intermediate, and fast MHD shocks were done by Delmont and Keppens (2011).…”
Section: Introductionmentioning
confidence: 99%
“…Mangetohydrodynamic (MHD) systems are capable of supporting numerous types of shock transitions due to the three characteristic speeds (slow, Alfvén, fast) (e.g., Delmont & Keppens 2011). Slow-mode shocks feature a transition from superslow to subslow and are of particular importance for magnetic reconnection events (Petschek 1964;Innocenti et al 2015;Shibayama et al 2015).…”
Section: Introductionmentioning
confidence: 99%