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Title: Optimized prefactored compact schemes for wave propagation phenomena
Authors: Rona, Aldo
Hall, Edward
Spisso, Ivan
First Published: 1-Jun-2016
Presented at: 22nd AIAA/CEAS Aeroacoustics Conference, Lyon, France, 30 May - 1 June 2016
Start Date: 30-May-2016
End Date: 1-Jun-2016
Publisher: AIAA
Citation: 22nd AIAA/CEAS Aeroacoustics Conference, 2016, (AIAA 2016-2721)
Abstract: A new family of prefactored cost-optimized schemes is developed to minimize the computational cost for a given level of error in linear wave propagation applications, such as aerodynamic sound propagation. This work extends the theory of Pirozzoli1 to the pref-actored compact high-order schemes of Hixon,2 which are MacCormack type schemes that use discrete Padé approximations. An explicit multi-step Runge-Kutta scheme advances the states in time. Theoretical predictions for spatial and temporal error bounds are used to drive the optimization process. Theoretical comparisons of the cost-optimized schemes with a classical benchmark scheme are made. Then, two numerical experiments assess the computational efficiency of the cost-optimised schemes for computational aeroacoustic applications. A polychromatic sinusoidal test-case verifies that the cost-optimized schemes perform according to the design high-order accuracy characteristics for this class of problems. For this test case, upwards of a 50% computational cost-saving at the design level of error is recorded. The final test case shows that the cost-optimized schemes can give substantial cost savings for problems where a fully broadband signal needs to be resolved.
DOI Link: 10.2514/6.2016-2721
Version: Post-print
Type: Conference Paper
Rights: Copyright © 2016, AIAA. Deposited with reference to the publisher’s archiving policy available on the SHERPA/RoMEO website.
Appears in Collections:Conference Papers & Presentations, Dept. of Engineering

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