# 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} }

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…

## 178 Citations

### SWASHES: A Library for Benchmarking in Hydraulics

- Physics
- 2014

In this chapter, a significant number of analytic solutions to the shallow water equations are described in a unified formalism and encompass a wide variety of flow conditions, in one or two space dimensions, with or without rain and soil friction, for transitory flow or steady state.

### SWASHES: A library for benchmarking in hydraulics / SWASHES : une biblioth\`eque de bancs d'essai en hydraulique

- History
- 2012

Numerous codes are being developed to solve Shallow Water equations. Because they are used in hydraulic and environmental studies, their capability to simulate properly flow dynamics is essential to…

### FullSWOF: A free software package for the simulation of shallow water flows

- Computer Science
- 2014

The FullSWOF software which is based on up-to-date finite volume methods and well-balanced schemes to solve shallow water equations is described, which consists of a set of open source C++ codes, freely available to the community, easy to use, and open for further development.

### Development of an analytical benchmark solution to assess various gradually varied flow computations

- EngineeringISH Journal of Hydraulic Engineering
- 2019

A closed-form solution of gradually varied flow equation is derived for ordinary rectangular and triangular channels using Manning’s formula as the resistance equation without any approximation in the conventional governing equation.

### FullSWOF: A software for overland flow simulation / FullSWOF : un logiciel pour la simulation du ruissellement

- EngineeringArXiv
- 2012

An experimental benchmark demonstrates the capabilities of FullSWOF to simulate adequately overland flow, and could also be used for other environmental issues, such as river floods and dam breaks.

### Lattice Boltzmann shallow water equations for large scale hydraulic analysis

- Engineering
- 2018

This thesis presents a new lattice Boltzmann model for both steady and unsteady two-dimensional shallow water equations, which overcomes the defects in Galilean invariance of the original MRT method and it has been shown to further improve stability.

### Overland flow modelling with the Shallow Water Equation using a well balanced numerical scheme: Adding efficiency or just more complexity?

- Environmental Science
- 2010

Overland flow is a key process when considering sediment transfers and the redistribution of soils nutrients and chemicals. To develop and improve watershed and agricultural land management, it is…

### FullSWOF: a software for overland flow simulation

- Economics
- 2020

First we present the numerical method for the resolution of the Shallow Water equations integrated in FullSWOF_2D (the two-dimension version). This method is based on hydrostatic reconstruction…

### A faster numerical scheme for a coupled system modeling soil erosion and sediment transport

- Environmental Science
- 2015

Overland flow and soil erosion play an essential role in water quality and soil degradation. Such processes, involving the interactions between water flow and the bed sediment, are classically…

### An Extended Mathematical Model for Shallow Water Flows in Vegetated Open Channels

- Engineering, Environmental Science
- 2014

: An extended mathematical model governing shallow water flows in vegetated open channels, referred to as the 1-D extended shallow water equations (1-D ESWEs), is presented in this paper as a…

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