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A Class of High Order Compact Schemes with Good Spectral Resolution for Aeroacoustics

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Fluid-Structure-Sound Interactions and Control

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

In this paper, we design a class of linear compact schemes based on the cell-centered compact scheme of ((Lele, J Comput Phys 103:16–42, 1992). These schemes equate a weighted sum of the nodal derivatives of a smooth function to a weighted sum of the function on both the grid points and the cell-centers. Through systematic Fourier analysis and numerical tests, we observe that the schemes have good properties of high order, high resolution, and low dissipation. It is an ideal class of schemes for the simulation of multiscale problems such as aeroacoustics and turbulence.

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References

  • Hardin JC, Ristorcelli JR, Tam CKW (1995) ICASE/LaRC workshop on benchmark problems in computational aeroacoustics (CAA). In: Proceedings of NASA conference publication 3300

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  • Lele SK (1992) Compact finite difference schemes with spectral-like resolution. J Comput Phys 103:16–42

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  • Samtaney R, Pullin DI, Kosovic B (2001) Direct numerical simulation of decaying compressible turbulence and shocklet statistics. Phys Fluids 13(5):1415–1430

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  • Tam CKW (1995) Computational aeroacoustics: issues and methods. AIAA Journal 33(10):1788–1796

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Authors and Affiliations

  1. State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang, 621000, Sichuan, China

    Xuliang Liu & Shuhai Zhang

Authors
  1. Xuliang Liu
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  2. Shuhai Zhang
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Corresponding author

Correspondence to Xuliang Liu .

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Editors and Affiliations

  1. The Hong Kong Polytechnic University, Hong Kong, People's Republic of China

    Yu Zhou

  2. The Hong Kong Polytechnic University, Hong Kong, People's Republic of China

    Yang Liu

  3. The University of Hong Kong, Hong Kong, People's Republic of China

    Lixi Huang

  4. Georgia Institute of Technology, Atlanta, Georgia, USA

    Dewey H. Hodges

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Liu, X., Zhang, S. (2014). A Class of High Order Compact Schemes with Good Spectral Resolution for Aeroacoustics. In: Zhou, Y., Liu, Y., Huang, L., Hodges, D. (eds) Fluid-Structure-Sound Interactions and Control. Lecture Notes in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40371-2_35

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  • DOI: https://doi.org/10.1007/978-3-642-40371-2_35

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40370-5

  • Online ISBN: 978-3-642-40371-2

  • eBook Packages: EngineeringEngineering (R0)

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