SWASHES: a compilation of Shallow Water Analytic Solutions for Hydraulic and Environmental Studies

TL;DR

SWASHES compiles a comprehensive set of analytic solutions to the Shallow Water equations, providing a valuable benchmark resource for validating hydraulic and environmental simulation codes.

Contribution

It offers a unified collection of diverse analytic solutions to the Shallow Water equations, previously scattered across literature, with accessible source codes for validation purposes.

Findings

Provides a wide variety of flow condition solutions

Includes source codes for easy implementation

Facilitates validation of hydraulic models

Abstract

Numerous codes are being developed to solve Shallow Water equations. Because there are used in hydraulic and environmental studies, their capability to simulate properly flow dynamics is critical to guarantee infrastructure and human safety. While 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 article aims at making analytic solutions to the Shallow Water equations easily available to code developers and users. It compiles a significant number of analytic solutions to the Shallow Water equations that are currently scattered through the literature of various scientific disciplines. The analytic solutions are described in a unified formalism to make a consistent set of test cases. These analytic solutions encompass a wide variety of flow conditions (supercritical, subcritical, shock, etc.), in 1 or 2 space dimensions, with or without rain and soil friction, for transitory flow or steady state. The corresponding source codes are made available to the community (http://www.univ-orleans.fr/mapmo/soft/SWASHES), so that users of Shallow Water-based models can easily find an adaptable benchmark library to validate their numerical methods.