An adaptive central‐upwind scheme on quadtree grids for variable density shallow water equations

@article{Ghazizadeh2022AnAC,
  title={An adaptive central‐upwind scheme on quadtree grids for variable density shallow water equations},
  author={Mohammad A. Ghazizadeh and Abdolmajid Mohammadian},
  journal={International Journal for Numerical Methods in Fluids},
  year={2022},
  volume={94},
  pages={461 - 481}
}
Minimizing computational cost is one of the major challenges in the modeling and numerical analysis of hydrodynamics, and one of the ways to achieve this is by the use of quadtree grids. In this article, we present an adaptive scheme on quadtree grids for variable density shallow water equations. A scheme for the coupled system is developed based on the work of [M.A. Ghazizadeh, A. Mohammadian, and A. Kurganov, Computers & Fluids, 208 (2020)]. The scheme is capable of exactly preserving “lake… 
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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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