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Numerical Method for Shock Front Hugoniot States

J. Matthew D. Lane·Michael P. Marder
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Abstract

We describe a Continuous Hugoniot Method for the efficient simulation of shock wave fronts. This approach achieves significantly improved efficiency when the generation of a tightly spaced collection of individual steady-state shock front states is desired, and allows for the study of shocks as a function of a continuous shock strength parameter, $v_p$. This is, to our knowledge, the first attempt to map the Hugoniot continuously. We apply the method to shock waves in Lennard-Jonesium along the $<100>$ direction. We obtain very good agreement with prior simulations, as well as our own benchmark comparison runs.

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J. Matthew D. Lane, Michael P. Marder. 2006-01-26. Numerical Method for Shock Front Hugoniot States. https://doi.org/10.1063/1.2263330

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