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Accurate Simulation of Discontinuities Induced by Detonations

摘要


In this study, we propose the HMSTH (Hybrid MUSCL with THINC-EM) [6, 11] type AUSMD [5] flux scheme to solve the stiff Euler equations to achieve an accurate simulation of the detonation waves. When the detonation wave propagates downstream after being ignited in the combustion, it produces a supersonic wave through the nozzle to achieve the thrust cycle called the Pulse Detonation Engine (PDE). [10] The PDE has a great advantage in energy efficiency according to many studies, so its development is important in the future. To overcome the applicant issue making the PDE work smoothly. We work to build an appropriate numerical method. To verify it, one and two-dimensional shock tube problems and the PDE combustion are chosen as the benchmark cases. The numerical results show that the proposed HMSTH-type AUSMD scheme has great potential in simulating further complicated detonation waves and PDE problems.

參考文獻


Bao W, Jin S, “The Random Projection Method for Hyperbolic Conservation Laws with Stiff Reaction Terms,” Journal of Computational Physics, Vol. 163, 2000, pp. 216-248.
Deng X, Xie B, Xiao F, Teng H, “New Accurate and Efficient Method for Stiff Detonation Capturing,” AIAA Journal, Vol. 56, No. 10, 2018, pp. 4024-4038.
Courant R, Friedrichs KO, “Supersonic Flow and Shock Waves,” Interscience, New York, 1971.
Engquist B, Sjogreen B, “Robust Difference Approximations of Stiff Inviscid Detonation Wave,” CAM Report 91-03 (UCLA). 1991
Liou MS, Wada Y, “A Flux Splitting Scheme with High-Resolution and Robustness for Discontinuities,” 32nd Aerospace Sciences Meeting and Exhibit, Aerospace Sciences Meetings, AIAA-94-0083, 1994.

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