Effects of Darrieus-Landau (DL) instability on the structure and propagation of turbulent
premixed flame fronts are considered. By first hypothesizing separation of time scales of …

Propagation of premixed turbulent flames is examined using a hybrid Navier–Stokes/front
tracking methodology, within the context of a hydrodynamic model. The flame, treated as a …

Flame particles are surface points that always remain embedded on, by comoving with a
given iso-scalar surface within a flame. Tracking flame particles allow us to study the fate of …

A 3D direct numerical simulation (DNS) study of the evolution of a self-propagating interface
in forced constant-density statistically stationary homogeneous isotropic turbulence was …

We consider a coupled reaction–advection–diffusion system based on the Fisher-KPP and
Burgers equations. These equations serve as a one-dimensional version of a model for a …

Several studies have utilized “leading points” concepts to explain the augmentation of
burning rates in turbulent flames by flow fluctuations. These ideas have been particularly …

The dynamics of a population expanding into unoccupied habitat has been primarily studied
for situations in which growth and dispersal parameters are uniform in space or vary in one …

A recently established mathematical equivalence—between weakly perturbed Huygens
fronts (eg, flames in weak turbulence or geometrical-optics wave fronts in slightly nonuniform …

Analyses have disagreed on whether the velocity u_T u T of bulk advancement of a
Huygens front in turbulence vanishes or remains finite in the limit of vanishing local front …

We study the effect of small random advection in two models in turbulent combustion.
Assuming that the velocity field decorrelates sufficiently fast, we (i) identify the order of the …