Numerical Simulation of Cellular Flame Propagation in Narrow Gaps

• Published in: Mathematical models and computer simulations Vol. 14; no. 5; pp. 755 - 770
• Main Authors: Borisov, V. E., Yakush, S. E., Sysoeva, E. Ya
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 2022; Springer Nature B.V
• Subjects: Adaptive algorithms; Applications of mathematics; Combustion; Computer simulation; Extinguishing; Finite element method; Flame propagation; Flow characteristics; Grid refinement (mathematics); Heat loss; Mach number; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Methane; Mixtures; Parallel plates; Propagation; Propagation velocity; Simulation and Modeling; detailed kinetic scheme; high performance computing; cellular flames; combustion
• ISSN: 2070-0482; 2070-0490
• DOI: 10.1134/S2070048222050039

Based on the numerical solution of the equations of a multicomponent reacting gas in the approximation of small Mach numbers, a computational model of the combustion of a premixed mixture in a narrow gap between parallel plates is presented. A block-by-block adaptive mesh refinement algorithm is used, which makes it possible to achieve a high resolution in areas of sharp changes in the flow characteristics, primarily near the flame front. A detailed kinetic mechanism for the combustion of methane mixed with air is used. The simulations are carried out using the ParTCS-3D software package developed by the authors on a K-100 supercomputer installed at Keldysh Institute of Applied Mathematics, Russian Academy of Sciences (KIAM RAS). The effectiveness of the parallel implementation of the developed numerical technique is demonstrated. Parametric simulations of the combustion of a stoichiometric methane-air mixture are carried out; the distance between the plates varies between 3–6 mm. The appearance of instability of the propagating flame, which is expressed in the development of cells at its front, is shown. With a small gap width, flame extinction near the ignition source is demonstrated. The calculated dependence of the apparent flame propagation velocity on the gap width, which indicates faster flame propagation in a wide gap due to the smaller influence of viscosity and heat loss, is obtained.