# A well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral grids

@article{Shirkhani2016AWP, title={A well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral grids}, author={Hamidreza Shirkhani and Abdolmajid Mohammadian and Ousmane Seidou and Alexander Kurganov}, journal={Computers \& Fluids}, year={2016}, volume={126}, pages={25-40} }

## 28 Citations

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

- Computer ScienceArXiv
- 2020

A robust adaptive well-balanced and positivity-preserving central-upwind scheme on unstructured triangular grids for shallow water equations and obtains local a posteriori error estimator for the efficient mesh refinement strategy.

Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system

- MathematicsJ. Comput. Phys.
- 2018

An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations

- Computer ScienceComputers & Fluids
- 2020

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

- MathematicsArXiv
- 2022

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,…

Central-upwind scheme for 2D turbulent shallow flows using high-resolution meshes with scalable wall functions

- Physics, Environmental ScienceComputers & Fluids
- 2019

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

- Computer ScienceInternational Journal for Numerical Methods in Fluids
- 2022

An adaptive scheme on quadtree grids for variable density shallow water equations and a scheme for the coupled system is developed, capable of exactly preserving “lake‐at‐rest” steady states.

Explicit radial basis function collocation method for computing shallow water flows

- MathematicsProcedia Computer Science
- 2019

Well-Balanced Numerical Method for Atmospheric Flow Equations with Gravity

- Physics
- 2021

We are interested in simulating gravitationally stratified atmospheric flows governed by the compressible Euler equations in irregular domains. In such simulations, one of the challenges arises when…

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