• 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}
}
• Published 12 November 2020
• Computer Science
• ArXiv
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,

## References

SHOWING 1-10 OF 61 REFERENCES
Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system
• Mathematics
• 2011
We introduce a new second-order central-upwind scheme for the Saint-Venant system of shallow water equations on triangular grids. We prove that the scheme both preserves “lake at rest” steady states
{m
• Geology
ACML
• 2020
The master programme in Applied Geology aims to provide comprehensive knowledge based on various branches of Geology, with special focus on Applied geology subjects in the areas of Geomorphology, Structural geology, Hydrogeology, Petroleum Geologists, Mining Geology), Remote Sensing and Environmental geology.
Sinking
• Things Left Unsaid
• 2019
A kinetic scheme for the Saint-Venant system¶with a source term
• Computer Science
• 2001
A numerical scheme to compute Saint-Venant equations with a source term, due to the bottom topography, in a one-dimensional framework which satisfies the following theoretical properties: it preserves the steady state of still water, satisfies an entropy inequality, preserves the non-negativity of the height of water and remains stable with a discontinuous bottom.
Central Schemes for Balance Laws
A brief review is given of shock capturing central schemes for the numerical solution of hyperbolic systems of balance laws. It is shown how to construct high order schemes for conservation laws on a