Positive and negative stationary edge flame velocities in non-parallel opposing jets with finite heat release

We study edge flames as approximate models of extinction, reignition, and flame lifting in turbulent non-premixed combustion. An adaptive resolution finite element method is developed to solve for a laminar edge flame in a spatially varying straining flow generated by non-parallel opposing jets. The variable-density zero-Mach-number Navier-Stokes equations are used to solve for both steadily advancing or retreating edge flames. A homotopy transformation technique is used to continue solutions from constant to variable density flow. Dependence of the edge flames on strain rate, stoichiometry and Lewis numbers will be discussed. Preliminary results suggest retreating edge flames may experience a bifurcation and we will discuss the underlying mechanism.