• Corpus ID: 246276221

Adaptive Central-Upwind Scheme on Triangular Grids for the Shallow Water Model with variable density

@article{Nguyen2022AdaptiveCS,
  title={Adaptive Central-Upwind Scheme on Triangular Grids for the Shallow Water Model with variable density},
  author={Thuong X. Nguyen},
  journal={ArXiv},
  year={2022},
  volume={abs/2201.10073}
}
In this paper, we construct a robust adaptive central-upwind scheme on unstructured triangular grids for two-dimensional shallow water equations with variable density. The method is wellbalanced, positivity-preserving, and oscillation free at the curve where two types of fluid merge. The proposed approach is an extension of the adaptive well-balanced, positivity-preserving scheme developed in Epshteyn and Nguyen (arXiv preprint arXiv:2011.06143, 2020). In particular, to preserve “lake-at-rest… 

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