Well-posedness and potential-based formulation for the propagation of hydro-acoustic waves and tsunamis - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2024

Well-posedness and potential-based formulation for the propagation of hydro-acoustic waves and tsunamis

Abstract

We study a linear model for the propagation of hydro-acoustic waves and tsunami in a stratified free-surface ocean. A formulation was previously obtained by linearizing the compressible Euler equations. The new formulation is obtained by studying the functional spaces and operators associated to the model. The mathematical study of this new formulation is easier and the discretization is also more efficient than for the previous formulation. We prove that both formulations are well posed and show that the solution to the first formulation can be obtained from the solution to the second. Finally, the formulations are discretized using a spectral element method, and we simulate tsunamis generation from submarine earthquakes and landslides.
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hal-04558414 , version 1 (25-04-2024)

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  • HAL Id : hal-04558414 , version 1

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Juliette Dubois, Sébastien Imperiale, Anne Mangeney, Jacques Sainte-Marie. Well-posedness and potential-based formulation for the propagation of hydro-acoustic waves and tsunamis. 2024. ⟨hal-04558414⟩
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