Numerical solution of an edge flame boundary value problem

ORAL

Abstract

We study edge flames for modeling extinction, reignition, and flame lifting in turbulent non-premixed combustion. An adaptive resolution finite element method is developed for solving a strained laminar edge flame in the intrinsic moving frame of reference of a spatially evolving shear layer. The variable-density zero Mach Navier-Stokes equations are used to solve for both advancing and retreating edge flames. The eigenvalues of the system are determined simultaneously (implicitly) with the scalar fields using a Schur complement strategy. A homotopy transformation over density is used to transition from constant- to variable-density, and pseudo arc-length continuation is used for parametric tracing of solutions. Full details of the edge flames as a function of strain and Lewis numbers will be discussed.

*This material is based upon work supported [in part] by the Department of Energy, National Nuclear Security Administration, under Award Number DE-NA0002374.

Authors

  • Benjamin Shields

    • University of Illinois at Urbana-Champaign
  • Jonathan Freund

    • University of Illinois at Urbana-Champaign
    • University of Illinois
    • University of Illinois at Urbana--Champaign
  • Carlos Pantano

    • University of Illinois at Urbana-Champaign
    • Univ of Illinois - Urbana