Summary
The shock structure problem is one of the classical problems of fluid mechanics and at least for non–reacting dilute gases it has been considered essentially solved. Here we present a few recent findings, to show that this is not the case. There are still new physical effects to be discovered provided that the numerical technique is general enough to not rule them out a priori.
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References
B. J. Alder and T. E. Wainwright. Phase transition for a hard sphere system. Journal of Chemical Physics, 27: 1208–1209, 1957.
W. G. Hoover. Structure of shock wave front in a liquid. Physical Review Letters, 42 (23): 1531–1534, 1979.
B. L. Holian, W. G. Hoover, B. Moran, and G. K. Straub. Shock–wave structure via non–equilibrium molecular–dynamics and Navier–Stokes continuum mechanics. Physical Review A, 22 (6):2798–2808, 1980.
D. H. Tsai and S. F. Trevino. Thermal relaxation in a dense liquid under shock compression. Physical Review A, 24 (5): 2743–2757, 1981.
E. Salomons and M. Mareschal. Usefulness of the Burnett description of strong shock waves. Physical Review Letters, 69 (2): 269–272, 1992.
O. Kum, W. G. Hoover, and C. G. Hoover. Temperature maxima in stable two–dimensional shock waves. Physical Review E, 56 (1): 462–465, 1997.
S. M. Yen. Temperature overshoot in shock waves. Physics of Fluids, 9 (7): 1417–1418, 1966.
A. K. Macpherson. Formation of shock waves in a dense gas using a molecular–dynamics type technique. Journal of Fluid Mechanics, 45: 601–621, 1971.
J. Horowitz, M. Woo, and I. Greber. Molecular dynamics simulation of a piston–driven shock wave. Physics of Fluids (Gallery of Fluid Motion), 7 (9): S6, 1995.
M. Woo and I. Greber. Molecular dynamics simulation of piston-driven shock wave in hard sphere gas. AIAA Journal, 37 (2): 215–221, 1999.
T. Tokumasu and Y. Matsumoto. Dynamic molecular collision (DMC) model for rarefied gas flow simulations by the DSMC method. Physics of Fluids, 11 (7): 1907–1920, 1999.
S. Schlamp and B. C. Hathorn. Molecular alignment in a shock wave. Physics of Fluids, 18 (9): 096101, 2006.
S. Schlamp and B. C. Hathorn. Higher moments of the velocity distribution function in dense–gas shocks. Journal of Computational Physics, 223 (1): 305–315, 2007.
S. Schlamp and B. C. Hathorn. Three–dimensional structure of a plane shock wave. submitted to Physics of Fluids, 2007.
S. Schlamp and B. C. Hathorn. Incomplete molecular chaos within dense–fluid shock waves. submitted to Physical Review E, 2007.
S. Schlamp. Shock Wave Structure in Dense Argon and Nitrogen – Molecular Dynamics Simulations of Moving Shock Waves. Habilitation thesis, ETH Zurich, Institute of Fluid Dynamics, Sonneggstr. 3, 8092 Zurich, Switzerland, 2007.
C. Cercignani. The Boltzmann Equation and its Applications. Springer–Verlag, New York, 1988.
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Schlamp, S., Hathorn, B. (2009). Molecular dynamics of shock waves in dense fluids. In: Hannemann, K., Seiler, F. (eds) Shock Waves. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85168-4_6
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DOI: https://doi.org/10.1007/978-3-540-85168-4_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85167-7
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