SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies

@article{Delestre2011SWASHESAC,
  title={SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies},
  author={Olivier Delestre and Carine Lucas and Pierre-Antoine Ksinant and Fr{\'e}d{\'e}ric Darboux and Christian Laguerre and T.‐N.‐Tuoi Vo and François James and St{\'e}phane Cordier},
  journal={International Journal for Numerical Methods in Fluids},
  year={2011},
  volume={72}
}
  • O. DelestreC. Lucas S. Cordier
  • Published 30 September 2011
  • Environmental Science
  • International Journal for Numerical Methods in Fluids
Numerous codes are being developed to solve shallow water equations. Because these are used in hydraulic and environmental studies, their capability to simulate flow dynamics properly is critical to guarantee infrastructure and human safety. Although validating these codes is an important issue, code validations are currently restricted because analytic solutions to the shallow water equations are rare and have been published on an individual basis over a period of more than five decades. This… 

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References

SHOWING 1-10 OF 98 REFERENCES

A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

A general strategy is described, based on a local hydrostatic reconstruction, that allows a well-balanced scheme to derive from any given numerical flux for the homogeneous problem, whenever the initial solver satisfies some classical stability properties.

Moving boundary shallow water flow in a region with quadratic bathymetry

Exact solutions of the nonlinear shallow water wave equations for forced flow involving linear bottom friction in a region with quadratic bathymetry have been found. These solutions also involve

A finite volume solver for 1D shallow‐water equations applied to an actual river

This paper describes the numerical solution of the 1D shallow‐water equations by a finite volume scheme based on the Roe solver. In the first part, the 1D shallow‐water equations are presented. These

Boundary Conditions for the Shallow Water Equations solved by Kinetic Schemes

We consider the Saint-Venant system for Shallow Water which is an usual model to describe the flows in rivers, coastal areas or floodings. The hyperbolic system of conservation laws is solved on

Analytic Benchmark Solutions for Open-Channel Flows

An important test of the quality of a computational model is its ability to reproduce standard test cases or benchmarks. For steady open–channel flow based on the Saint Venant equations some

Hydraulic resistance effect upon the dam-break functions

The dam-break solution, a known centered simple-wave when resistance is neglected, is studied with the Chezy resistance formula added to the nonlinear shallow-water equations. Resistance transforms

Finite volume method for simulating extreme flood events in natural channels

In the context of the CADAM project, a new 2D computer code is developed, tested and applied, as described in the present paper, based on the Godunov approach for shallow water equations.

Applications of the Saint-Venant Equations and Method of Characteristics to the Dam Break Wave Problem

Surge waves resulting from dam breaks have been responsible for numerous losses. Modern predictions of dam break wave rely too often on numerical predictions, validated with limited data sets.

DAM-BREAK FLOW OVER A UNIFORMLY SLOPING BOTTOM

A solution is derived for dam-break flow over a uniformly sloping bottom, under the assumption that each receding characteristic line of flow is parabolic. The hydraulic resistance of the bottom is

Case Study: Malpasset Dam-Break Simulation using a Two-Dimensional Finite Volume Method

The accuracy, stability, and reliability of a numerical model based on a Godunov-type scheme are verified in this paper, through a comparison between calculated results and observed data for the
...