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Pré-Publication, Document De Travail Année : 2020

Some analytical solutions for validation of free surface flow computational codes

Résumé

We present several time dependent analytical solutions for the incompressible Euler system with free surface. These analytical solutions give quantitative descriptions of some physical phenomena and can be used as reference solutions when validating numerical simulation codes. They concern fluid flows governed by Euler equations with or without hydrostatic hypothesis including wet/dry interface, variable density, wide variety of boundary conditions and possibly non-uniform bottom topographies. Some of these analytical solutions concern shallow water type models or free surface Navier-Stokes model i.e. with a viscous fluid.
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Dates et versions

hal-01831622 , version 1 (06-07-2018)
hal-01831622 , version 2 (24-01-2020)
hal-01831622 , version 3 (17-12-2020)

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  • HAL Id : hal-01831622 , version 2

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Marie-Odile Bristeau, Bernard Di Martino, Anne Mangeney, Jacques Sainte-Marie, Fabien Souillé. Some analytical solutions for validation of free surface flow computational codes. 2020. ⟨hal-01831622v2⟩
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