# 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} }

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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