Reacting flowfields are described by compressible turbulent Reynolds-averag
ed Navier-Stokes equations augmented with appropriate species continuity eq
uations that provide for the convection, diffusion and production of each c
hemical species. The closure of the system of equations is achieved using a
two-equation turbulence model. A single-step overall fast chemical reactio
n combustion model based on the eddy break-up concept is employed for the t
urbulence-chemistry interaction. A finite volume discretization is carried
out in spatial coordinates to compute inviscid and viscous flux vectors. A
multistage Runge-Kutta time-stepping scheme is used to obtain a steady stat
e solution. The numerical algorithm is developed by taking into considerati
on the structured grid arrangement for a turbulent chemically reacting coax
ial jet. The numerical scheme is shown to be computationally fast, easy to
program and efficient. A supersonic diffusion flame is analysed and the res
ults are compared with the available experimental data.