A numerical method for accurate simulation of the time and spatial cha
racteristics of the inner and outer vortex structures in transitional
H-2/N-2 jet diffusion names is presented. The direct numerical simulat
ion, incorporating buoyancy, a simple one-step chemistry model, and tr
ansport coefficients that depend on temperature and species concentrat
ion, is described in detail. The species and energy equations are simp
lified by introducing two conserved scalars beta(1) and beta(2) and by
assumming that the Lewis number of the flow is equal to unity. An imp
licit, third-order-accurate, upwind numerical scheme having very low n
umerical diffusion is used to simulate the inner small-scale structure
s and the outer large-scale structures simultaneously. Although the ou
ter structures develop without introducing perturbations, the inner st
ructures are manifested from artificially introduced computer generate
d random noise. The buoyancy-driven outer instabilities and the shear-
driven inner ones are found to roll up into vortices at frequencies of
similar to 14 and 350 Hz, respectively. Unlike the structures in cold
jets, the shear driven vortices in flames propagate over a long dista
nce without losing their identity or spreading radially. These vortice
s undergo an unusual axial-growth and merging process that is shown to
result from their interactions with the outer vortices. The complex s
pectral characteristics of the name are interpreted in terms of the dy
namics of this interaction process. The inner vortices appear to have
very little impact on the flame since the flame surface is located wel
l outside the jet shear layer.