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Entropy Splitting for High Order Numerical Simulation of Vortex Sound at Low Mach Numbers

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Abstract

Several recent developments in efficient, stable, highly parallelizable high order non-dissipative spatial schemes with characteristic based filters that exhibit low dissipation for long time linear and nonlinear wave propagations are utilized for computational aeroacoustics (CAA). For stability consideration, the Euler equations are split into a conservative and a symmetric non-conservative portion. Due to the large disparity of acoustic and stagnation quantities in low Mach number aeroacoustics, the split Euler equations are formulated in perturbation form to minimize numerical cancellation errors. Spurious oscillations are suppressed by a characteristic-based filter. The method has been applied to accurately simulate the sound emitted by an almost circular Kirchhoff vortex at low Mach numbers.

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Müller, B., Yee, H.C. Entropy Splitting for High Order Numerical Simulation of Vortex Sound at Low Mach Numbers. Journal of Scientific Computing 17, 181–190 (2002). https://doi.org/10.1023/A:1015100614522

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