Some quasi-analytical solutions for propagative waves in free surface Euler equations
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.
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Académie des sciences
2021-01-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.63/ |
| _version_ | 1797651557063327744 |
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| author | Bristeau, Marie-Odile Di Martino, Bernard Mangeney, Anne Sainte-Marie, Jacques Souille, Fabien |
| author_facet | Bristeau, Marie-Odile Di Martino, Bernard Mangeney, Anne Sainte-Marie, Jacques Souille, Fabien |
| author_sort | Bristeau, Marie-Odile |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T16:17:31Z |
| format | Article |
| id | doaj.art-a8e9a696b27449508a02ae17a7ed26b3 |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:17:31Z |
| publishDate | 2021-01-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-a8e9a696b27449508a02ae17a7ed26b32023-10-24T14:18:46ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692021-01-0135811-121111111810.5802/crmath.6310.5802/crmath.63Some quasi-analytical solutions for propagative waves in free surface Euler equationsBristeau, Marie-Odile0Di Martino, Bernard1https://orcid.org/0000-0001-9466-1480Mangeney, Anne2https://orcid.org/0000-0002-3197-6087Sainte-Marie, Jacques3https://orcid.org/0000-0002-3511-7722Souille, Fabien4ANGE 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 05UMR CNRS 6134 SPE, Université de Corse, Campus Grimaldi, BP 52, 20250 Corte, FranceANGE 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, FranceANGE 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 05ANGE 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 05This 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.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.63/ |
| spellingShingle | Bristeau, Marie-Odile Di Martino, Bernard Mangeney, Anne Sainte-Marie, Jacques Souille, Fabien Some quasi-analytical solutions for propagative waves in free surface Euler equations Comptes Rendus. Mathématique |
| title | Some quasi-analytical solutions for propagative waves in free surface Euler equations |
| title_full | Some quasi-analytical solutions for propagative waves in free surface Euler equations |
| title_fullStr | Some quasi-analytical solutions for propagative waves in free surface Euler equations |
| title_full_unstemmed | Some quasi-analytical solutions for propagative waves in free surface Euler equations |
| title_short | Some quasi-analytical solutions for propagative waves in free surface Euler equations |
| title_sort | some quasi analytical solutions for propagative waves in free surface euler equations |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.63/ |
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