Numerical simulations of the process of multiple shock–flame interactions

• Published in: Acta mechanica Sinica 2016-08, Vol.32 (4), p.659-669
• Main Authors: Jiang, Hua, Dong, Gang, chen, Xiao, Wu, Jin-Tao
• Format: Article
• Language: English
• Subjects: Amplitudes; Chemical reactions; Classical and Continuum Physics; Computational Intelligence; Computer simulation; Engineering; Engineering Fluid Dynamics; Freezing; Mathematical analysis; Mathematical models; Perturbation methods; Premixed flames; Research Paper; Theoretical and Applied Mechanics; 初始扰动; 化学反应; 多重; 数值模拟; 斯托克斯方程; 激波; 相互作用; 预混火焰
• ISSN: 0567-7718; 1614-3116
• DOI: 10.1007/s10409-015-0552-0

Based on a weighted essentially nonoscillatory scheme, the multiple interactions of a flame interface with an incident shock wave and its reshock waves are numerically simulated by solving the compressible reactive Navier–Stokes equations with a single-step Arrhenius chemical reaction. The two-dimensional sinusoidally perturbed premixed flames with different initial perturbed amplitudes are used to investigate the effect of the initial perturbation on the flame evolutions. The results show that the development of the flame interface is directly affected by the initial perturbed amplitudes before the passages of reshock waves, and the perturbation development is mainly controlled by the Richtmyer–Meshkov instability（RMI）. After the successive impacts of multiple reshock waves, the chemical reaction accelerates the consumption of reactants and leads to a gradual disappearance of the initial perturbed information. The perturbation developments in frozen flows with the same initial interface as those in reactive flows are also demonstrated.Comparisons of results between the reactive and frozen flows show that a chemical reaction changes the perturbation pattern of the flame interface by decreasing the density gradient,thereby weakening the baroclinic torque in the flame mixing region, and therefore plays a dominant role after the passage of reshock waves.