Numerical simulations have been performed to study the flowfield and n
ear-field noise of a supersonic rectangular jet with two paddles inser
ted into the how The paddles cause a strong flapping motion to develop
that enhances mixing of the jet with the surroundings. These simulati
ons have been used to determine the flapping motion's frequency, the m
ixing enhancement, the near-field noise, and the thrust loss associate
d with the paddles and to study the acoustic feedback mechanism that m
odulates the flapping motion. The flapping frequency has been estimate
d using the pitot pressure distributions at a sequence of times and Fo
urier analysis of the local pressure and z component of velocity. For
paddles located x/h = 7.3 from the nozzle, where h is the narrow dimen
sion of the nozzle, a frequency of 4700 Hz [St(h) = 0.136] with an amp
litude of 157.5 dB at the nozzle lip has been predicted and is in agre
ement with experimental results. The pitot pressure drop, the mass, an
d the x-momentum fluxes along the flow direction have been used as a m
easure of jet mixing for jets with and without paddles inserted into t
he flow. In our numerical simulations, a control volume approach was u
sed to estimate the thrust loss caused by the insertion of the paddles
. The computational value of 13% is close to the experimental value of
14.4%, considering that the physical support for the paddles in the e
xperiments is not included in the simulations. A special sequence of l
ocal pressure distribution plots, which highlight the acoustic waves,
has been used to study the feedback mechanism that modulates the flapp
ing motion.