The Predictor-Corrector Method for One-Dimensional Stiff Detonation Capturing

Abstract:

A new fractional step method is proposed for stiff chemical reactive flows. In stiff reaction problems, wrong propagation speed of detonation wave may occur in general fraction step algorithm. During the reaction step, the proposed scheme replaces the average representation with two-reconstruction values which are obtained by predictor-corrector steps. For numerical experiments, the first-order upwind AUSM scheme and the explicit Euler method are considered. Several one-dimensional stiff reactive flows are investigated. The numerical results show that the propagation speed of the detonation wave computed by the standard method is faster than the exact solution. However, the numerical solutions by the proposed method have very good agreement with the exact solution.

• Periodical: Advanced Materials Research (Volume 717)
• Pages: 415-420
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.717.415
• Online since: July 2013
• Authors: Bin Zhang, Jiang Hang Wang, Hong Liu, Fang Chen
• Keywords: Detonation, Fraction Step Method, Predictor-Corrector Method, Stiff Reactive Euler Equations

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