• Corpus ID: 226306782

Adaptive Central-Upwind Scheme on Triangular Grids for the Saint-Venant System

@article{Epshteyn2020AdaptiveCS,
  title={Adaptive Central-Upwind Scheme on Triangular Grids for the Saint-Venant System},
  author={Yekaterina Epshteyn and Thuong X. Nguyen},
  journal={ArXiv},
  year={2020},
  volume={abs/2011.06143}
}
In this work, we develop a robust adaptive well-balanced and positivity-preserving central-upwind scheme on unstructured triangular grids for shallow water equations. The numerical method is an extension of the scheme from [{\sc Liu {\em et al.}},J. of Comp. Phys, 374 (2018), pp. 213 - 236]. As a part of the adaptive central-upwind algorithm, we obtain local a posteriori error estimator for the efficient mesh refinement strategy. The accuracy, high-resolution, and efficiency of the new adaptive… 
Adaptive Central-Upwind Scheme on Triangular Grids for the Shallow Water Model with variable density
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,

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