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Second Computational Aeroacoustics (CAA) Workshop on ...

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Problem 3<br />

This problem is designed to test the ability of a numerical scheme to model the p_0p-<br />

agati<strong>on</strong> of acoustic and vortical waves across a sliding-interface typical of those used in<br />

rotor stator interacti<strong>on</strong> problems.<br />

Repeat Problem 2, but translate the porti<strong>on</strong> of the grid aft of the line x = 2 in the<br />

positive ?]-directi<strong>on</strong> with speed 1. If possible, arrange the sliding grid moti<strong>on</strong> so that at<br />

times corresp<strong>on</strong>ding to the start of each period (t = 27rn/w) the sliding grid is in the<br />

original n<strong>on</strong>siiding positi<strong>on</strong>. This will aid in the plotting and evaluati<strong>on</strong> of soluti<strong>on</strong>s.<br />

Category 4 m Airframe and Automobile Noise<br />

Aeolian t<strong>on</strong>es, sound generati<strong>on</strong> by flow over a cylinder, are relevant to automobile<br />

antenna and airfl'ame noise. The purpose of this problem is to dem<strong>on</strong>strate computati<strong>on</strong><br />

of sound generati<strong>on</strong> by viscous flows.<br />

C<strong>on</strong>sider uniform flow at Math number 0.2 over a two-dimensi<strong>on</strong>al cylinder of diameter<br />

D = 1.9cln as shown in figure 5. The Reynolds number based <strong>on</strong> the diameter of the<br />

cylinder is 90,000. Perform numerical simulati<strong>on</strong>s to estimate the power spectra of the<br />

radiated sound in dB (per 20Hz bandwidth) at r/D = 35 and 0 = 60 °, 90 °, 120 ° over the<br />

Strouhal number, St = u/_-0 D, range of 0.01 < St __ 0'61 a{ ASt = 0.002,<br />

You may use a smaller Reynolds number in your simulati<strong>on</strong>. However, data may not<br />

be available for direct validati<strong>on</strong>.<br />

verged.<br />

Perform grid and time resoluti<strong>on</strong> studies to dem<strong>on</strong>strate that your soluti<strong>on</strong> has c<strong>on</strong>-<br />

Co<br />

v<br />

Figure 5<br />

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