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Reports Year : 2022

Addition of 8 analytical solutions to the SWASHES software

Abstract

The Shallow-Water equations are a nonlinear system of partial differential equations commonly used to model flows in various contexts. Many solvers are being developed to numerically solve those equations, which raises the issue of the verification of the numerical results. To simplify the validation process, the software SWASHES was developed, compiling a significant number of analytical solutions to the Shallow-Water equations in a unified formalism to create an easily available and consistent set of test cases. The corresponding source codes are made available to the community (www.idpoisson.fr/swashes). In this report, we will describe the 8 new solutions implemented in version 1.04.00 of SWASHES. Adding both steady and transient solutions, with solutions in Cartesian geometry as well as solutions in spherical geometry.
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Dates and versions

hal-03762587 , version 1 (28-08-2022)
hal-03762587 , version 2 (16-09-2022)

Identifiers

  • HAL Id : hal-03762587 , version 2

Cite

Maxime Rougier. Addition of 8 analytical solutions to the SWASHES software. [Research Report] Institut Denis Poisson - Université d'Orléans. 2022. ⟨hal-03762587v2⟩
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