This paper concerns the simulation of unsteady combustion processes. I
t gathers up-to-date results of simulation activities, part of a long-
term research program between the Italian National Institute for Elect
ric Power (ENEL) and the University of Padova. The software used is 'F
luent'; the hardware a Var 8530 and a Cray X-MP/14. The paper is divid
ed in two major sections: one dealing with combustion instabilities, t
he second with pulse combustion. In the first section, of the several
known forms of combustion instabilities, our attention is directed tow
ard the investigation of one caused by fluctuations in turbulent mixin
g rate. Assuming that the combustion rate is controlled by mixing of t
he chemical species (and not by chemical kinetics), we show that the f
luctuations of velocity which accompany acoustic waves produce fluctua
tions in turbulence and then fluctuations in reaction rate. We also sh
ow that mean flow plays a key role in determining the sign of these fl
uctuations and therefore the occurrence or otherwise of instability: f
or a tube-like combustor, instability takes place if the mean Row move
s from an acoustic open-end to an acoustic closed-end (or if the flame
is in the first half of an open/open tube). The second section of the
paper presents some preliminary simulations of the operation of a mec
hanical-valve pulsating combustor, aimed at modeling a Lennox unit for
air heating. Three two-dimensional axis-symmetrical models were consi
dered, containing more and more details of the geometry near the inlet
s. While acoustic vibrations were always easily captured (the predicte
d frequency is in good agreement with the actual one), tuning of combu
stion with them was more difficult to reproduce. In fact, only the thi
rd model, with two fully separated inlets for air and propane, shows r
easonable behavior. Analyses suggest that correct modeling of the way
the reactants mix together (both macro- and micro-scale mixing) is the
key for correct prediction of combustion delay (because the time requ
ired for mixing is by far the most important delay term).