1-d MUSCL Solver for the Shallow Water Equations

A conservative finite-volume (FV) implementation of the Saint Venant equations, also known as the shallow water equations (SWE).
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Updated 6 Aug 2018

Solves the one-dimensional shallow water equations (SWE) for any initial condition, such as a dam break scenario, using a second-order MUSCL-LF, MUSCL-Rusanov and MUSCL-HLL implementations. This snippet includes an exact solver for Riemann problems of the SWE.
As always, I intend this snippet to be readable and easy to study, especially for beginners in the CFD community.

Note that the example with topography is not completed yet. I'll come back later to update this example.

Happy coding! ;D

Cite As

Manuel A. Diaz (2024). 1-d MUSCL Solver for the Shallow Water Equations (https://github.com/wme7/ShallowWaterEquations), GitHub. Retrieved .

MATLAB Release Compatibility
Created with R2016b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired by: MUSCL-THINC-BVD and WENO5-THINC-BVD solvers

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Version Published Release Notes
1.0.1

Updated description

1.0.0

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.