MATLAB code that generates all figures in [Almquist and Dunham, 2020, https://doi.org/10.1016/j.jcp.2020.109294 ]. The paper considers narrow-stencil summation-by-parts finite difference methods and derives new penalty terms for boundary and interface conditions. The new penalty terms are significantly less stiff than the previous state-of-the-art method on curvilinear grids. On highly skewed grids, there may be an order of magnitude or more difference in the time-step restriction.

Features

  • Summation-by-parts finite differences
  • Weak boundary and interface conditions
  • Small spectral radius

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License

MIT License

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Registered

2019-12-05