## Numerical Simulations of Gaseous Detonations

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## Multi-component Euler Equations

The governing equations of gaseous detonations are the multi-component Euler equations with chemical reactive source terms. These equations can be written in conservation form withKinhomogeneous continuity equationsfordmomentum equationsforand an energy equationAccording to Dalton's law, the total pressurepis the sum of the partial pressurespi, i.e.withandFor detailed chemical reaction, all species are usually assumed to bethermally perfectgases with a caloric equationwithThis model requires the computation of the temperatureTfrom the implicit equationwhenever the pressure has to evaluated.

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## last update: 06/01/04