Rotational gravity-capillary waves generated by a moving disturbance

• Autor: Flamarion, Marcelo
• Formato: artículo
• Fecha de Publicación: 2021
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revistas - Universidad Nacional de Trujillo
• Lenguaje: inglés
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/3622
• Enlace del recurso: https://revistas.unitru.edu.pe/index.php/SSMM/article/view/3622
• Nivel de acceso: acceso abierto
• Materia: Water waves; gravity-capillary waves; Euler equations; conformal mappings.; Ondas acústicas; ondas de gravedad-capilaridad; ecuaciones de Euler; representación conforme.

Nonlinear gravity-capillary waves generated by the passage of a pressure distribution over a sheared channel with constant vorticity are investigated. The problem is modeled using the full Euler equations. The harmonic part of the velocity field is formulated in a canonical domain through the use of the conformal mapping, which flattens the fluid domain onto a strip. The Froude number is considered to be nearly-critical and the Bond number critical. The shear effect changes drastically the pattern of the generated waves for large times. Moreover, depending on the intensity of the vorticity, the wave solutions can become smoother with small amplitudes.