Some quasi-analytical solutions for propagative waves in free surface Euler equations

Bristeau, Marie-Odile; Di Martino, Bernard; Mangeney, Anne; Sainte-Marie, Jacques; Souille, Fabien

doi:10.5802/crmath.63

Comptes Rendus. Mathématique (Jan 2021)

Some quasi-analytical solutions for propagative waves in free surface Euler equations

Bristeau, Marie-Odile,
Di Martino, Bernard,
Mangeney, Anne,
Sainte-Marie, Jacques,
Souille, Fabien

Affiliations

Bristeau, Marie-Odile: ANGE project-team, Inria Paris, 2 rue Simone Iff, CS 42112, 75589 Paris Cedex 12, France; Sorbonne Université, Lab. Jacques-Louis Lions, 4 Place Jussieu, F-75252 Paris cedex 05
Di Martino, Bernard: ORCiD; UMR CNRS 6134 SPE, Université de Corse, Campus Grimaldi, BP 52, 20250 Corte, France
Mangeney, Anne: ORCiD; ANGE project-team, Inria Paris, 2 rue Simone Iff, CS 42112, 75589 Paris Cedex 12, France; Sorbonne Université, Lab. Jacques-Louis Lions, 4 Place Jussieu, F-75252 Paris cedex 05; Université de Paris, Institut de Physique du Globe de Paris, Seismology Group, 1 rue Jussieu, Paris F-75005, France
Sainte-Marie, Jacques: ORCiD; ANGE project-team, Inria Paris, 2 rue Simone Iff, CS 42112, 75589 Paris Cedex 12, France; Sorbonne Université, Lab. Jacques-Louis Lions, 4 Place Jussieu, F-75252 Paris cedex 05
Souille, Fabien: ANGE project-team, Inria Paris, 2 rue Simone Iff, CS 42112, 75589 Paris Cedex 12, France; Sorbonne Université, Lab. Jacques-Louis Lions, 4 Place Jussieu, F-75252 Paris cedex 05

DOI: https://doi.org/10.5802/crmath.63
Journal volume & issue: Vol. 358, no. 11-12
pp. 1111 – 1118

Abstract

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This note describes some quasi-analytical solutions for wave propagation in free surface Euler equations and linearized Euler equations. The obtained solutions vary from a sinusoidal form to a form with singularities. They allow a numerical validation of the free-surface Euler codes.

Published in Comptes Rendus. Mathématique

ISSN: 1778-3569 (Online)
Publisher: Académie des sciences
Country of publisher: France
LCC subjects: Science: Mathematics
Website: https://comptes-rendus.academie-sciences.fr/mathematique/

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