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High Order and High Resolution Numerical Schemes for Computational Aeroacoustics and Their Applications

  • Shuhai ZhangEmail author
  • Xuliang Liu
  • Hanxin Zhang
  • Chi-Wang Shu
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

A class of high order central compact schemes with spectral-like resolution are designed for the computational aeroacousitcs (CAA). The schemes have the features of high order, high resolution, low dissipation and the ability to capture strong shock wave in flow field, which are perfect methods for computational aeroacoustics. Typical problems are solved through direct numerical simulation, including the merging process of two co-rotating Gaussian vortices, the interaction between an oblique shock wave and a shear layer and cavity flow. The mechanisms of noise generation are studied.

Keywords

Compact scheme High resolution Sound generation 

References

  1. Eldredge JD, Colonius T, Leonard A (2002) A vortex p article method for two-dimensional compressible flow. J Comput Phys 179:371–399MathSciNetCrossRefzbMATHGoogle Scholar
  2. Mitchell BE, Lele SK, Moin P (1995) Direct computation of the sound from a compressible co-rotating vortex pair. J Fluid Mech 285:181–202MathSciNetCrossRefzbMATHGoogle Scholar
  3. Lele SK (1992) Compact finite difference schemes with spectral-like resolution. J Comput Phys 103:16–42MathSciNetCrossRefzbMATHGoogle Scholar
  4. Liu X, Zhang S, Zhang H, Shu C-W (2013) A new class of central compact schemes with spectral-like resolution I: Linear schemes. J Comput Phys 248:235–256MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Shuhai Zhang
    • 1
    Email author
  • Xuliang Liu
    • 1
  • Hanxin Zhang
    • 1
  • Chi-Wang Shu
    • 1
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA

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