Abstract
A stabilized treatment of convection dominated flow problems with a high order spectral viscosity method is presented. This method stabilizes the spectral scheme and remains the high spectral accuracy by introducing some viscosity only to the highest Fourier or Chebyshev modes. In the practical computation the method is employed to the Chebyshev pseudospectral (or collocation) discretization of some singular perturbation problems.
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Heinrichs, W. Spectral viscosity for convection dominated flow. J Sci Comput 9, 137–148 (1994). https://doi.org/10.1007/BF01578384
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DOI: https://doi.org/10.1007/BF01578384