Mar 20 – 22, 2024
Institut de Mathématiques de Toulouse
Europe/Paris timezone

Two formulations for acoustic and surface waves in a free-surface, vertically stratified ocean

Mar 21, 2024, 2:30 PM
30m
Amphithéâtre Laurent Schwartz, bâtiment 1R3 (Institut de Mathématiques de Toulouse)

Amphithéâtre Laurent Schwartz, bâtiment 1R3

Institut de Mathématiques de Toulouse

118 route de Narbonne\n31062 Toulouse Cedex

Speaker

Juliette Dubois

Description

I will present two formulations for a linear model describing the propagation of acoustic and surface gravity waves in a free-surface, stratified ocean. The first formulation, already studied in previous works, is obtained by the linearization of the compressible Euler equations, written in Lagrangian coordinates. The second formulation uses a new variable which can be understood as a generalized potential, allowing for a natural decomposition into rotational and irrotational velocity components. I will show that both formulations are well-posed and present some simulations.

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