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Journal Articles Journal of Fluid Mechanics Year : 2021

Some analytical solutions for validation of free surface flow computational codes

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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Dates and 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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Cite

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, 2021, Journal of Fluid Mechanics, 913 (A17), ⟨10.1017/jfm.2020.1179⟩. ⟨hal-01831622v3⟩
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