# Improved second-order hyperbolic residual-distribution scheme and its extension to third-order on arbitrary triangular grids

@article{Mazaheri2015ImprovedSH, title={Improved second-order hyperbolic residual-distribution scheme and its extension to third-order on arbitrary triangular grids}, author={Alireza Mazaheri and Hiroaki Nishikawa}, journal={J. Comput. Physics}, year={2015}, volume={300}, pages={455-491} }

- Published in J. Comput. Physics 2015
DOI:10.1016/j.jcp.2015.07.054

In this paper, we construct second- and third-order hyperbolic residual-distribution schemes for general advection-diffusion problems on arbitrary triangular grids. We demonstrate that the accuracy of the second-order hyperbolic schemes in J. Comput. Phys. 227 (2007) 315-352 and J. Comput. Phys. 229 (2010) 3989-4016 can be greatly improved by requiring the scheme to preserve exact quadratic solutions. The improved second-order scheme can be easily extended to a third-order scheme by further… CONTINUE READING

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