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THESE de DOCTORAT - cerfacs

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5.3 Combustion noise Analysis 79<br />

50<br />

x = 7 mm<br />

x = 17 mm<br />

50<br />

x = 27 mm<br />

50<br />

x = 7 mm<br />

50<br />

x = 17 mm<br />

50<br />

x = 27 mm<br />

50<br />

40<br />

40<br />

40<br />

40<br />

40<br />

40<br />

30<br />

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20<br />

20<br />

z (mm)<br />

10<br />

0<br />

−10<br />

10<br />

0<br />

−10<br />

10<br />

0<br />

−10<br />

10<br />

0<br />

−10<br />

10<br />

0<br />

−10<br />

10<br />

0<br />

−10<br />

−20<br />

−20<br />

−20<br />

−20<br />

−20<br />

−20<br />

−30<br />

−30<br />

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−30<br />

−40<br />

−40<br />

−40<br />

−40<br />

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−20 0 20 40<br />

−50<br />

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−20 0 20 40 −20 0 20 40<br />

−50<br />

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−50<br />

−20 0 20 −20 0 20 −20 0 20<br />

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

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

Figure 5.5: Velocity Profiles: ◦ Experimental PIV measurements<br />

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

can be observed in Fig. 5.7(a). Different values in the variations of heat release are however<br />

obtained for each LES. Strong and more regular fluctuations of heat release are obtained with<br />

the ‘coarse’ mesh while smaller and less periodic fluctuations are given by the ‘refined’ mesh<br />

computation. It is likely that the coarser mesh does not capture enough small turbulent scales<br />

and trigger too large turbulent eddies. These large coherent structures might clearly have an<br />

influence on the flame dynamics and thus in the large fluctuations of heat release. The value of<br />

the rate of change of heat release integrated over the whole volume of the combustor has also<br />

been computed for the two different meshes and is shown in Fig. 5.7(b). On the finer mesh a<br />

quieter flame is obtained, consi<strong>de</strong>ring the smaller values of rate of change of heat release compared<br />

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

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

Pressure Level (SPL) at a given point rather than rms values of the pressure. Figure 5.8 compares<br />

the SPL values at microphone 7 (see the location of M7 in Fig. 5.2) from the refined and<br />

coarse meshes to the experimental measurements. Both LES clearly overestimate the sound<br />

levels with a significant improvement with the finer resolution. It is then found that in or<strong>de</strong>r<br />

to correctly evaluate the dynamics of a flame and the acoustics generated by this one it is not<br />

enough to satisfactorily mo<strong>de</strong>l the fluctuating velocity field as shown in Figs. 5.5 and 5.6. As<br />

stated before, computing acoustic pressure fluctuations is very challenging, since these values<br />

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

an important role and be the (partial) cause of the observed differences with the experimental<br />

data.<br />

First, the performed LES assumes a perfect premixed mixture of air and fuel in the reactive

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