1. Domain decomposition method based on One-Way approaches for sound propagation in a partially lined duct.
- Author
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Ruello, Maëlys, Rudel, Clément, Pernet, Sébastien, and Brazier, Jean-Philippe
- Subjects
- *
DOMAIN decomposition methods , *POISEUILLE flow , *TURBULENT flow , *ACOUSTIC radiation , *ACOUSTIC wave propagation , *EULER equations - Abstract
A numerical factorization method of the unidirectional propagation operators induced by the linearized Euler and Navier–Stokes equations is performed to construct a new One-Way approach to compute the sound radiation in a partially lined duct. The complex phenomena of reflection and transmission of incident waves originating from discontinuities in the duct wall are accurately taken into account by an iterative domain decomposition method. Furthermore, the proposed factorization approach allows both the derivation of the lined duct scattering matrix and an in-depth understanding of the impact of the acoustic liner on left- and right-going waves coming from a transmission or a reflection. Finally, the efficiency of the numerical method is shown based on a classical benchmark with two types of baseflows (laminar and turbulent Poiseuille flows) and by comparison with other numerical and experimental results. An unstable surface mode is observed at 1000 Hz, and we find good agreement with experimental data for the turbulent mean flow associated with the One-Way Navier–Stokes equations. • New framework to construct a factorization of an unidirectional propagation operator. • Domain decomposition method based on the factorization of the propagation operator. • Extension of the One-Way approach to linearized Navier–Stokes equations. • Numerical implementation to decompose left- and right-going waves. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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