A theory is developed to describe low-frequency acoustic waves in the compl
icated diffuser/combustor geometry of a typical industrial gas turbine. Thi
s is applied to the RB211-DLE geometry to give predictions for the frequenc
ies of the acoustic resonances at a range of operating conditions. The main
resonant frequencies are to be found around 605 Hz (associated with the pl
enum) and around 461 Hz and 823 Hz (associated with the combustion chamber)
, as well as one at around 22 Hz (a bulk mode associated with the system as
a whole). The stabilizing effects of a Helmholtz resonator, which models d
amping through nonlinear effects, are included, together with effects of co
upled pressure waves in the fuel supply system.