An improved solution to the 'Rankine-Hugoniot' problem

Details An improved solution to the 'Rankine-Hugoniot' problem An improved solution to the 'Rankine-Hugoniot' problem

Aug 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994jgr....9914737s&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 99, no. A8, p. 14,737-14,746

Mathematics

27

Flux Density, Least Squares Method, Magnetohydrodynamic Waves, Plasma Temperature, Rankine-Hugoniot Relation, Shock Waves, Solar Wind, Iterative Solution, Magnetic Fields, Propagation Velocity, Shock Discontinuity, Shock Wave Propagation, Singularity (Mathematics)

Scientific paper

This paper presents an extension of the nonlinear least squares fitting technique of Vinas and Scudder (1986) (VS), which finds the physical and geometrical properties of nondissipational magnetohydrodynamic (MHD) shocks. The new method incorporates plasma temperature observations in the form of normal momentum flux and energy density flux conservation as well as plasma density, velocity, and magnetic field data. The new technique is capable of using known standard deviations in the individual measurement points to properly weight the fitting procedure. The new fitting code is validated through the analysis of synthetic shocks with known physical and geometrical properties. Finally, it is compared to the original VS method and the preaveraged velocity coplanarity technique.

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