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Article Dans Une Revue Scientific Bulletin, Series A: Applied Mathematics and Physics Année : 2024

Finite element simulation of plane wave reflection by liquids free surfaces at grazing incidence

Résumé

In the process of numerical simulation by the Finite Elements Method (FEM) of the ultrasonic acoustic waves propagating in water parallel or quasi-parallel to the free surface have surfaced a series of difficulties. The main issue is the fulfillment of the null pressure boundary condition at the free surface by an incident plane wave with a wavenumber vector parallel to this free surface. The authors deduce the asymptotic evolution of the plane wave in a two dimensional study. As the incidence angle approaches the grazing angle the background pressure input for the FEM analysis is expressed in accordance with this formulation. The acoustic field obtained by the proposed formula is depicted in a numerical analysis software, for a clearer understanding. Then, the implementation in a FEM software package of the results thus obtained, prove to be in good agreement with the analytical solution.
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hal-04644054 , version 1 (10-07-2024)

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  • HAL Id : hal-04644054 , version 1

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Andreea-Denisa Griguța, Mihai Valentin Predoi, Anaïs Perin, Damien Leduc, Mounsif Ech-Cherif El-Kettani, et al.. Finite element simulation of plane wave reflection by liquids free surfaces at grazing incidence. Scientific Bulletin, Series A: Applied Mathematics and Physics, 2024, U.P.B. Sci. Bull., Series A, 86 (1), pp.151-162. ⟨hal-04644054⟩
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