23. Numerical Study of Flame Propagation in a Mixture Reacting at the Initial Temperature

Transition from pulled to pushed fronts in premixed turbulent combustion: Theoretical and numerical study

“…In particular, it should be shown that solutions to the initial boundary value problem given by Eqs. (13), (17), (18) and (21) tend to the TW solutions obtained in the previous sections provided that the initial profile ofcðh ¼ 0; nÞ is sufficiently steep. For this purpose, the initial boundary value problem was numerically solved.…”

“…(17) and (18). The normalized turbulent burning velocity U t , flame speed S t , and thickness d t were determined as follows…”

“…(5), (9) and (16) to Eqs. (17), (18), and (20), respectively, implies that the turbulence is stationary and homogeneous, i.e. combustion does not affect it.…”

“…For various N B and e 1 , Eqs. (17) and (18) were discretized by spatially integrating them using a uniform staggered grid, with the power law scheme being applied jointly to the convection and diffusion term [67]. The nonlinear convection term associated with CGT was discretized using the first-order upwind scheme.…”

“…in Refs. [16][17][18]. Aronson and Weinberger [15] have also solved the speed selection problem and have shown that a solution to the IBVP associated with Eqs.…”