Mathematical analysis of Goldsteina s model for time-harmonic acoustics in flows

Antoine Bensalah; Patrick Joly; Jean Francois Mercier

doi:10.1051/m2an/2022007

Mathematical analysis of Goldsteina s model for time-harmonic acoustics in flows

Antoine Bensalah, Patrick Joly, Jean Francois Mercier

Airbus Central RandT

Research output: Contribution to journal › Article › peer-review

Abstract

Goldsteina s equations have been introduced in 1978 as an alternative model to linearized Euler equations to model acoustic waves in moving fluids. This new model is particularly attractive since it appears as a perturbation of a simple scalar model: The potential model. In this work we propose a mathematical analysis of boundary value problems associated with Goldsteina s equations in the time-harmonic regime.

Original language	English
Pages (from-to)	451-483
Number of pages	33
Journal	Mathematical Modelling and Numerical Analysis
Volume	56
Issue number	2
DOIs	https://doi.org/10.1051/m2an/2022007
Publication status	Published - 1 Mar 2022

Keywords

Aeroacoustics
Fredholm alternative
Goldsteina s equations
Well-posedness

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10.1051/m2an/2022007

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abstract = "Goldsteina s equations have been introduced in 1978 as an alternative model to linearized Euler equations to model acoustic waves in moving fluids. This new model is particularly attractive since it appears as a perturbation of a simple scalar model: The potential model. In this work we propose a mathematical analysis of boundary value problems associated with Goldsteina s equations in the time-harmonic regime.",

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AU - Joly, Patrick

AU - Mercier, Jean Francois

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PY - 2022/3/1

Y1 - 2022/3/1

N2 - Goldsteina s equations have been introduced in 1978 as an alternative model to linearized Euler equations to model acoustic waves in moving fluids. This new model is particularly attractive since it appears as a perturbation of a simple scalar model: The potential model. In this work we propose a mathematical analysis of boundary value problems associated with Goldsteina s equations in the time-harmonic regime.

AB - Goldsteina s equations have been introduced in 1978 as an alternative model to linearized Euler equations to model acoustic waves in moving fluids. This new model is particularly attractive since it appears as a perturbation of a simple scalar model: The potential model. In this work we propose a mathematical analysis of boundary value problems associated with Goldsteina s equations in the time-harmonic regime.

KW - Aeroacoustics

KW - Fredholm alternative

KW - Goldsteina s equations

KW - Well-posedness

U2 - 10.1051/m2an/2022007

DO - 10.1051/m2an/2022007

M3 - Article

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EP - 483

JO - Mathematical Modelling and Numerical Analysis

JF - Mathematical Modelling and Numerical Analysis

IS - 2

ER -

Mathematical analysis of Goldsteina s model for time-harmonic acoustics in flows

Abstract

Keywords

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