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ERCOFTAC Bulletin - Centre Acoustique

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were performed at the same cluster, which showed<br />

a 8 times better performance for both solvers. This<br />

is probably due to load changes on the system. The<br />

tests furthermore showed, that the overall performance<br />

for this particular test case is at its optimum between<br />

4 and 8 NoisSol processes coupled to 4 PIANO processes.<br />

Currently under examination is a sudden instability<br />

in the near field, which occurred after<br />

tsim ≈ 9.0 ≈ 260000 dt for pure NoisSol and<br />

≈ 4.6 ≈ 135000 dt for PIANO+. Due to the long<br />

period of successful computation this is probably related<br />

to a strong, source triggered disturbance.<br />

Figure 3: Sound pressure level, NoisSol, PIANO+ and<br />

Lockhard [5]<br />

Figure 4: Pressure field, uncoupled computation, t=2.0<br />

5 Conclusion<br />

The presented DG scheme was applied to the<br />

NASA 30P30N airfoil noise test case as stand-alone<br />

solver and in a coupled framework. The results are very<br />

encouraging from the qualitative and quantitative point<br />

of view and proved the operability of the scheme. To<br />

improve the applicability a reliable examination of the<br />

performance behavior of the coupled scheme for different<br />

Figure 5: Pressure field, coupled computation, t=2.0<br />

Uncoupled Coupled<br />

Code NoisSol NoisSol<br />

nDegF r 0.747e6 0.28e6<br />

dx 0.002 . . . 0.2 0.002 . . . 0.01<br />

tsim 9.03 4.61<br />

tCP U 1840 1370<br />

tCP U/ 27.3e-5 106e-5<br />

(nDegF r · tsim)<br />

Coupled<br />

Code PIANO Combined<br />

nDegF r 6.57e6 6.85e6<br />

dx 0.004<br />

tsim 4.61 4.61<br />

tCP U 1370 2750<br />

tCP U/ 4.53e-5 8.70e-5<br />

(nDegF r · tsim)<br />

Table 2: Computation times<br />

CPU distributions and in comparison to the uncoupled<br />

scheme is necessary.<br />

Acknowledgement<br />

This work has been done with the kind support of the<br />

Institute of Aerodynamics and Flow Technology (IAS)<br />

at the German Aerospace Center (DLR), in particular<br />

Professor Jan Delfs and Dr. Roland Ewert, who delivered<br />

the acoustic sources for the calculations and made their<br />

PIANO code available for the coupling framwork.<br />

References<br />

[1] M. Dumbser: Arbitrary High Order Schemes for the<br />

Solution of Hyperbolic Conservation Laws in Complex<br />

Domains. PhD thesis, Universität Stuttgart<br />

(2005)<br />

[2] G. J. Gassner, F. Lörcher, C.-D. Munz and J. S. Hesthaven:<br />

Polymorphic nodal elements and their application<br />

in discontinuous Galerkin methods. JCP<br />

228, Issue 5 (2009)<br />

[3] F. Lörcher, G. Gassner and C.-D. Munz: Arbitrary<br />

High Order Accurate Time Integration Schemes for<br />

Linear Problems. ECCOMAS CFD (2006)<br />

[4] D. P. Lockard and M. M. Choudhari: Noise Radiation<br />

from a Leading-Edge Slat. AIAA paper 2009-<br />

3101 (2009)<br />

32 <strong>ERCOFTAC</strong> <strong>Bulletin</strong> 90

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