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Optimized prefactored compact schemes for wave propagation phenomena

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conference contribution
posted on 08.12.2016, 11:11 by Aldo Rona, Edward Hall, Ivan Spisso
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.

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Citation

22nd AIAA/CEAS Aeroacoustics Conference, 2016, (AIAA 2016-2721)

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Engineering

Source

22nd AIAA/CEAS Aeroacoustics Conference, Lyon, France, 30 May - 1 June 2016

Version

AM (Accepted Manuscript)

Published in

22nd AIAA/CEAS Aeroacoustics Conference

Publisher

AIAA

isbn

978-1-62410-386-5

Copyright date

2016

Available date

08/12/2016

Publisher version

http://arc.aiaa.org/doi/10.2514/6.2016-2721

Temporal coverage: start date

30/05/2016

Temporal coverage: end date

01/06/2016

Language

en

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