Computing nearly singular solutions using pseudo-spectral methods

@article{Hou2007ComputingNS,
  title={Computing nearly singular solutions using pseudo-spectral methods},
  author={Thomas Y. Hou and Ruo Li},
  journal={J. Comput. Phys.},
  year={2007},
  volume={226},
  pages={379-397}
}
  • T. Hou, Ruo Li
  • Published 12 January 2007
  • Mathematics, Computer Science
  • J. Comput. Phys.
In this paper, we investigate the performance of pseudo-spectral methods in computing nearly singular solutions of fluid dynamics equations. We consider two different ways of removing the aliasing errors in a pseudo-spectral method. The first one is the traditional 2/3 dealiasing rule. The second one is a high (36th) order Fourier smoothing which keeps a significant portion of the Fourier modes beyond the 2/3 cut-off point in the Fourier spectrum for the 2/3 dealiasing method. Both the 1D… 
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