An adaptive numerical method for simulating diffusion flame jets

Abstract

In this paper, we present an adaptive numerical methodology for a reacting three-dimensional low-Mach number flow. This computational strategy combines an adaptive mesh refinement (AMR), an implicit–explicit time stepping strategy (IMEX), an extension of increment-pressure projection method, and a mixture fraction to model the chemistry combustion dynamics. To accurately resolve sharp gradients, vorticity shedding, and localized small length scale flow features, dynamic adaptive mesh refinement (given by hierarchical nested Cartesian grid patches) is employed. That spatial dynamic adaptation is used in conjunction with a variable time step, second-order, linearly implicit time integration scheme. The capabilities of the present numerical method are demonstrated by numerical verification and simulation of two classical diffusion flame examples from literature.