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THESE de DOCTORAT - cerfacs

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148 Chapter B: Publications<br />

LES succeed in predicting the central recirculation zone satisfactorily. The LES on the ‘refined’ mesh is<br />

however more accurate for the outer region, particularly for the radial velocity. The fluctuating velocity<br />

field is characterized by rms profiles. Figure 5 shows that on the ‘coarse’ mesh a high overprediction of<br />

velocity fluctuations is obtained in both axial and radial components. On the fine grid however the LES<br />

clearly recovers the experimental velocity fluctuating field.<br />

50<br />

x = 7 mm<br />

x = 17 mm<br />

50<br />

x = 27 mm<br />

50<br />

x = 7 mm<br />

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x = 17 mm<br />

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x = 27 mm<br />

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(a) Mean Axial Velocity (m/s)<br />

−50<br />

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(b) Mean Radial Velocity (m/s)<br />

Figure 4: Velocity Profiles: ◦ Experimental PIV measurements<br />

– – – LES 3 million cells, —— LES 10 million cells<br />

Acoustics and flame dynamics of the system represented by the heat release are, on the contrary, more<br />

difficult to evaluate than the mean and fluctuating velocity field. The mean value of heat release is similar<br />

in both LES and is close to the 40kW experimental thermal power, as can be observed in Fig. 6(a).<br />

Different values in the variations of heat release are however obtained for each LES. Strong and more<br />

regular fluctuations of heat release are obtained with the ‘coarse’ mesh while smaller and less periodic<br />

fluctuations are given by the ‘refined’ mesh computation. It is likely that the coarser mesh does not<br />

capture enough small turbulent scales and trigger too large turbulent eddies. These large coherent<br />

structures might clearly have an influence on the flame dynamics and thus in the large fluctuations of<br />

heat release. The value of the rate of change of heat release integrated over the whole volume of the<br />

combustor has also been computed for the two different meshes and is shown in Fig. 6(b). On the<br />

finer mesh a quieter flame is mo<strong>de</strong>led, consi<strong>de</strong>ring the smaller values of rate of change of heat release<br />

compared to those obtained from the coarse mesh. As a consequence, smaller rms pressure values should<br />

be expected on the finer mesh. Acoustics in the chamber is rather characterized by the Sound Pressure<br />

Level (SPL) at a given point than rms values of the pressure. Figure 7 compares the SPL values at the<br />

microphone 7 (see the location of M7 in Fig. 2) of the computations on the refined and coarse meshes<br />

to the experimental measurements. Both LES clearly overestimate the sound levels with a significant<br />

improve on the finer. It is then found that in or<strong>de</strong>r to correctly evaluate the dynamics of a flame and<br />

the acoustics generated by this one it is not enough to satisfactorily mo<strong>de</strong>l the fluctuating velocity field<br />

as shown in Figs. 4 and 5. As stated before, computing acoustic pressure fluctuations is very challenging<br />

since these values are very small compared to the aerodynamic fields. Several additional phenomena can<br />

play an important role.<br />

First, the performed LES assume a perfect premixed mixture of air and fuel in the reactive region. This<br />

8

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