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Shock and detonation modeling with the Mie-Grüneisen equation of state

Arienti, M. and Morano, E. and Shepherd, J. E. (2004) Shock and detonation modeling with the Mie-Grüneisen equation of state. California Institute of Technology , Pasadena, CA. (Unpublished)

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We consider the numerical simulation of inviscid reactive flows with application to high density explosive detonation. The numerical model is based on the Euler equations and the Mie-Grüneisen equation of state extended to treat chemical energy release and expanded states. The equations are computed with a Roe-Glaister solver on a Cartesian mesh. We present results for two substances, a binder and an explosive. Our solution method is verified against the exact solution of the shock tube problem for solid materials. We show under what conditions a "physical" expansion shock can appear in this example. We then address the problem of modeling expanded states, and show results for a two-dimensional shock distraction around a sharp corner. In the last part of the paper, we introduce a detonation model that extends the Mie-Grüneisen equation of state to enable high explosive simulations without the complexity of mixture equations of state. We conclude with two examples of corner-turning computations carried out with a pressure-dependent reaction rate law.

Item Type:Report or Paper (Technical Report)
Shepherd, J. E.0000-0003-3181-9310
Alternate Title:Nonreactive Euler Flows with Mie-Grüneisen equation of state for High Explosives
Additional Information:©2004 California Institute of Technology. Graduate Aeronautical Laboratories Report FM99-8. Revised version of draft 1999 report entitled "Nonreactive Euler Flows with Mie-Grüneisen equation of state for High Explosives". This research was conducted at the Caltech ASCI ASAP Center of Excellence "Center for Simulation of Dynamic Response of Materials", contract B341492 under DOE Contract W-7405-ENG-48. The authors would like to thank J. Quirk for the use of the Amrita computational facility.
Group:Graduate Aeronautical Laboratories (Fluid Mechanics), GALCIT
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GALCIT Report FM99-8
Record Number:CaltechAUTHORS:20141111-152000288
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:51606
Deposited On:11 Nov 2014 23:57
Last Modified:11 Nov 2021 22:02

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