On liners viscoacoustic impedance boundary conditions for an array of\n Helmholtz resonators in 3D

2019/05/21 by Adrien Semin, Semin, Adrien, Kersten Schmidt +1
Computer Science · Engineering · Mathematics · Physics and Astronomy · #32S05 #35C20 #35J05 #35J20 #41A60 #65D15 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Composite Material Mechanics #Electromagnetic Scattering and Analysis #FOS: Mathematics #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1905.08566

openalex publication_date 2019/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The present work deals with the resolution of the Linearized Navier-Stokes\nproblem in a domain made of an array that consists into a repetition of\nelongated resonators connected to an half-space. We provide and justify a limit\nequivalent model which takes into account the presence of resonators array as\nan equivalent boundary condition. Our approach combines the method of matched\nasymptotic expansions and the method of periodic surface homogenization adapted\nto more than two scales, and a complete justification is included in the paper.\n

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