Toward an Improved Capture of Stiff Detonation Waves

O. Rouch (), M. -O. St-Hilaire () and P. Arminjon ()
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O. Rouch: Université de Montréal
M. -O. St-Hilaire: Université de Montréal
P. Arminjon: Université de Montréal, Centre de Recherches Mathématiques

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 911-918 from Springer

Abstract: Detonations can be modeled by a compressible reactive flow involving a single exothermic reaction between two chemical states: the unburnt gas and the burnt gas. The detonation wave can be modeled as a powerful nonreactive shock followed by a deflagration wave, where the gas is burnt. The shock propagates in the unburnt gas, heating it; if the ignition temperature is reached through this purely mechanical shock, then a chemical reaction is triggered. One differentiates detonations from other types of combustion by the great quantity of energy they release, thus making negligible any potential contribution from viscosity, conduction, or heat radiation. Neglecting these local effects makes the reactive Euler equations the most adequate way to describe a detonation process at large scale.

Keywords: Detonation Wave; Hyperbolic System; Riemann Problem; Ignition Temperature; Contact Discontinuity (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/978-3-540-75712-2_95

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