International Conference «Mathematical and Informational Technologies, MIT-2011»
(IX Conference «Computational and Informational Technologies for Science,
Engineering and Education»)

Vrnjacka Banja, Serbia, August, 27–31, 2011

Budva, Montenegro, August, 31 – September, 5, 2011

Мартюшов С.Н.  

Numerical Simulation of Flows in Detonation Engines Devices

The goal of this study is to investigate numerically the flow in a devices of detonation engine, namely chanals with constrictions. Different construction of detonation engine consist of this chanels as injectors or supersonic nozzles for transporting gas mises to chambers, where detonation appears. In some cases backward flows of deflagration can appear in this devices which can destroy engine, sometimes it is desire to get beginning of detonation process in nozzle
itself.
The simplified mathematical model of two-phase chemical reaction, including the induction period and the subsequent reaction period, was used for numerical simulation of the gaseous oxygen-hydrogen mixture detonation in a devices of detonation engine. The gas was assumed to be non viscous, and the one-stage Arrhenius model for chemical reaction rate was employed. In the numerical simulation algorithm two methods of time discretization was used.
The first method includes splitting the explicit time step operator into symmetric sequence of operators in three directions. Another method of time discretization is using the explicit third order Runge-Kutta method. Spatial discretization is performed on the basis of two similar TVD-schemes: the slightly improved version of the Harten scheme and Chacravarthy-Osher one.
Numerically where investigated regims of gas mixes injection and constriction geometry. Where found regims of gas mixes injection with detonation appearence inside channels.

Abstracts file: MITAbstract111.doc


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