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Bibliographic Details
Main Authors: Groom, Maks, Zhou, Beckett
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.05469
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author Groom, Maks
Zhou, Beckett
author_facet Groom, Maks
Zhou, Beckett
contents Acoustic scattering by vehicle surfaces can have significant effects on overall noise levels. In this paper, we present a space-time Galerkin time-domain boundary element method (TDBEM) that offers several distinct advantages over contemporary scattering methods for prediction of acoustic scattering and shielding of complex aeroacoustic sources such as propellers and rotors. The time-domain approach allows efficient simulation of transient, rotating, and broadband noise sources, while the Galerkin formulation is robust and unconditionally stable without any tuned numerical parameters. The main challenge of the Galerkin approach, namely the numerically difficult double space-time integration, is resolved through an efficient decomposition-based quadrature procedure. We present three cases with analytical solutions to validate the method and study its numerical properties, demonstrating excellent agreement for scattering and shielding by a variety of different geometries. We then apply the TDBEM to a trailing edge-mounted propeller case, comparing the numerical predictions with experimental measurements. The results demonstrate good agreement between predicted and measured scattering and shielding in a practical application case.
format Preprint
id arxiv_https___arxiv_org_abs_2603_05469
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Space-Time Galerkin Boundary Element Method for Aeroacoustic Scattering
Groom, Maks
Zhou, Beckett
Numerical Analysis
Computational Physics
Acoustic scattering by vehicle surfaces can have significant effects on overall noise levels. In this paper, we present a space-time Galerkin time-domain boundary element method (TDBEM) that offers several distinct advantages over contemporary scattering methods for prediction of acoustic scattering and shielding of complex aeroacoustic sources such as propellers and rotors. The time-domain approach allows efficient simulation of transient, rotating, and broadband noise sources, while the Galerkin formulation is robust and unconditionally stable without any tuned numerical parameters. The main challenge of the Galerkin approach, namely the numerically difficult double space-time integration, is resolved through an efficient decomposition-based quadrature procedure. We present three cases with analytical solutions to validate the method and study its numerical properties, demonstrating excellent agreement for scattering and shielding by a variety of different geometries. We then apply the TDBEM to a trailing edge-mounted propeller case, comparing the numerical predictions with experimental measurements. The results demonstrate good agreement between predicted and measured scattering and shielding in a practical application case.
title A Space-Time Galerkin Boundary Element Method for Aeroacoustic Scattering
topic Numerical Analysis
Computational Physics
url https://arxiv.org/abs/2603.05469