“…The initial magnitudes of the normalized rms value of turbulent velocity u 0 =S b ϕ¼1 ð Þ , rms value of equivalence ratio ϕ 0 , and normalized Taylor micro-scale of equivalence ratio variation l ϕ =l f are listed in Table 1. The ratio of longitudinal integral length scale to flame thickness is considered to be L 11 =l f ¼ 3:36 for all turbulent cases following previous analyses (Chakraborty et al, 2007;Chakraborty and Mastorakos, 2008;Neophytou et al, 2010;Patel and Chakraborty, 2014;Wandel, 2013Wandel, , 2014Wandel et al, 2009). The case names are chosen in such a manner so that G and B stand for initial Gaussian and bi-modal equivalence ratio ϕ distributions; T0, T4, and T6 indicate increasing turbulence intensity u 0 =S b ϕ¼1 A compressible 3D DNS code SENGA (Chakraborty et al, 2007;Chakraborty and Mastorakos, 2008;Neophytou et al, 2010;Patel and Chakraborty, 2014, Wandel, 2013, 2014Wandel et al, 2009) was used to carry out the simulations in a domain of size 33l f  33l f  33l f , which ensures that about 10 integral eddies are retained on each side of the domain.…”