A numerical solution of Lighthill's acoustic analogy for acoustically excited laminar premixed flames

Abstract

This paper presents a numerical and theoretical investigation of sound generation by two-dimensional (2D) low Mach number, premixed flames. Direct Numerical Simulation (DNS) is first used to study these flames, which are excited by velocity perturbations at the inflow boundary over a range of forcing frequencies. The computational domain is fully resolved to the far-field in all cases, allowing examination of the sound radiated and its sources. Lighthill's acoustic analogy is then solved numerically using Green's functions. The radiated sound calculated using Lighthill's equation is in good agreement with that from the DNS for all cases, validating the numerical solution of Lighthill's equat..