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Some analytical solutions for validation of free surface flow computational codes

Marie-Odile Bristeau 1 Bernard Di Martino 1 Anne Mangeney 2 Jacques Sainte-Marie 1 Fabien Souillé 1
1 ANGE - Numerical Analysis, Geophysics and Ecology
Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
2 IPGP - Institut de Physique du Globe de Paris
Abstract : 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, such as water motion or waves on space variable topography, 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 and wide variety of boundary conditions.
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Journal articles
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https://hal.archives-ouvertes.fr/hal-01831622
Contributor : Bernard Di Martino <>
Submitted on : Thursday, December 17, 2020 - 10:29:06 AM
Last modification on : Saturday, December 19, 2020 - 3:42:10 AM

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  • HAL Id : hal-01831622, version 3

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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. Journal of Fluid Mechanics, Cambridge University Press (CUP), In press. ⟨hal-01831622v3⟩

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