Volume 28 Issue 1
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CHEN Zhi-fu, WEN Gui-lin, WANG Yan-guang, WANG Ming. Compact finite difference schemes on non-uniform meshes for computational aeroacoustics[J]. Journal of Aerospace Power, 2013, 28(1): 180-187.
Citation: CHEN Zhi-fu, WEN Gui-lin, WANG Yan-guang, WANG Ming. Compact finite difference schemes on non-uniform meshes for computational aeroacoustics[J]. Journal of Aerospace Power, 2013, 28(1): 180-187.
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Compact finite difference schemes on non-uniform meshes for computational aeroacoustics

  • 1.

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University,Changsha 41008

  • 2.

    Institute of Space Technology,Hunan University,Changsha 410082,China

  • Received Date: 2011-12-27
  • Publish Date: 2013-01-28
    Abstract
  • When the classic compact finite difference scheme was applied to practical problems using non-uniform meshes,the spurious numerical oscillations would be excited.A high accuracy of compact scheme was developed for this problem.The general expressions of the scheme's coefficients were derived through Taylor expansion analysis;then the numerical dispersion and dissipation were analyzed by using Fourier analysis method.For the case that the sixth-order tridiagonal compact scheme was applied to non-uniform meshes,the results are shown:the dispersion and dissipation values are closer to the exact solution with the increase of disturbance factor;the scheme is asymptotically stable when the disturbance factor is less than or equal to 0.213,otherwise it is the opposite;the results of numerical solution for one-dimensional convective wave and two-dimensional wave propagation agree well with the theoretical solution,which shows advantages in the simulation of non-uniform meshes for computational aeroacoustis.

     

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