Beyond Interface Gradient: A General Principle for Constructing Diffusion Schemes

@inproceedings{Nishikawa2010BeyondIG,
  title={Beyond Interface Gradient: A General Principle for Constructing Diffusion Schemes},
  author={Hiroaki Nishikawa},
  year={2010}
}
  • Hiroaki Nishikawa
  • Published 2010
  • Mathematics
  • In this paper, we introduce a general principle for constructing time-accurate diffusion schemes, which is applicable to various discretization methods, includingnite-volume, residual- distribution, discontinuous-Galerkin, and spectral-volume methods. The principle is based on a hyperbolic relaxation-system model for diffusion. It is to discretize the hyperbolic system by an advection scheme, and then derive a diffusion scheme by bringing it to the equilibrium limit in a rather simple manner. A… CONTINUE READING

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