Séminaire de Mécanique d'Orsay
Jeudi 10 février à 14h au FAST
Génération de bruit de jet par les grandes structures d'instabilité-approches linéaires et non-linéaires
Lutz Lesshaft
Ladhyx, École Polytechnique - CNRS
Jet noise is in large part generated by large-scale vortical structures that
develop due to the instability of the jet shear layer. The noise radiated by
these structures is tonal, i.e. it appears in the form of discrete peaks in
the acoustic far-field spectrum. Numerical simulation results will be
presented for the particular case of very hot jets: such jets are found to
display self-excited oscillations in the form of a regularly shedding of
ring vortices. Comparison with theory demonstrates that this nonlinear
phenomenon ("nonlinear global mode") is caused by a linear, local absolute
instability of the unperturbed jet profile. Analysis of the acoustic field,
based on the Lighthill equation, characterizes enthalpy fluctuations in the
jet as the dominant noise source mechanism.
Some recent results, from the ongoing PhD work by Xavier Garnaud, on linear
global instability modes of compressible jets will also be presented. This
approach takes into account the presence of a nozzle, and the
non-parallelism of the unperturbed jet flow. A new numerical procedure for
the computation of global modes has been developed for this study, based on
the concept of selected frequency damping. This method presents the
advantage of very low memory requirements when compared to common techniques
like the shift-invert transformation.