A domain decomposition technique for acoustic wave interactions and scattering

In this work, a two-dimensional domain decomposition technique (DDT) is developed based on an overset method that couples a nonlinear Euler solver with a linearized Euler solver. The nonlinear domain accounts for complex physics in the near field, such as acoustic wave interaction with shock waves a...

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Main Authors: Lim, Wei Xian, Chan, Wai Lee, Elhadidi, Basman
Other Authors: School of Mechanical and Aerospace Engineering
Format: Journal Article
Language:English
Published: 2024
Subjects:
Online Access:https://hdl.handle.net/10356/173128
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author Lim, Wei Xian
Chan, Wai Lee
Elhadidi, Basman
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Lim, Wei Xian
Chan, Wai Lee
Elhadidi, Basman
author_sort Lim, Wei Xian
collection NTU
description In this work, a two-dimensional domain decomposition technique (DDT) is developed based on an overset method that couples a nonlinear Euler solver with a linearized Euler solver. The nonlinear domain accounts for complex physics in the near field, such as acoustic wave interaction with shock waves and acoustic wave scattering from solid bodies. The linear domain allows the small perturbation waves induced by the nonlinear effects to propagate with minimal numerical dissipation and dispersion while also significantly reducing computational resources. To this end, two scenarios have been considered: (i) wave amplification and modulation in a converging-diverging duct with a standing shock wave and (ii) wave scattering from an incident acoustic wave over a supercritical airfoil. With DDT, these cases show a reduction in computational time by more than 70% compared to their respective fully-nonlinear simulations. The accuracy of the simulations with DDT is found to depend on the extent of overlap between the linear and nonlinear zones. In general, an overlap ratio of at least two is necessary to maintain high order of convergence rate, though still limited by the nonlinear scheme. Furthermore, the implementation of DDT in the external flow case can eliminate numerical noise observed at the far field of the fully-nonlinear counterpart, which do not have any effective non-reflecting boundary treatment.
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spelling ntu-10356/1731282024-01-20T16:48:44Z A domain decomposition technique for acoustic wave interactions and scattering Lim, Wei Xian Chan, Wai Lee Elhadidi, Basman School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Domain Decomposition Technique Compressible Flow In this work, a two-dimensional domain decomposition technique (DDT) is developed based on an overset method that couples a nonlinear Euler solver with a linearized Euler solver. The nonlinear domain accounts for complex physics in the near field, such as acoustic wave interaction with shock waves and acoustic wave scattering from solid bodies. The linear domain allows the small perturbation waves induced by the nonlinear effects to propagate with minimal numerical dissipation and dispersion while also significantly reducing computational resources. To this end, two scenarios have been considered: (i) wave amplification and modulation in a converging-diverging duct with a standing shock wave and (ii) wave scattering from an incident acoustic wave over a supercritical airfoil. With DDT, these cases show a reduction in computational time by more than 70% compared to their respective fully-nonlinear simulations. The accuracy of the simulations with DDT is found to depend on the extent of overlap between the linear and nonlinear zones. In general, an overlap ratio of at least two is necessary to maintain high order of convergence rate, though still limited by the nonlinear scheme. Furthermore, the implementation of DDT in the external flow case can eliminate numerical noise observed at the far field of the fully-nonlinear counterpart, which do not have any effective non-reflecting boundary treatment. Submitted/Accepted version 2024-01-15T01:26:32Z 2024-01-15T01:26:32Z 2023 Journal Article Lim, W. X., Chan, W. L. & Elhadidi, B. (2023). A domain decomposition technique for acoustic wave interactions and scattering. Computers & Mathematics With Applications, 152, 129-142. https://dx.doi.org/10.1016/j.camwa.2023.10.009 0898-1221 https://hdl.handle.net/10356/173128 10.1016/j.camwa.2023.10.009 2-s2.0-85174724668 152 129 142 en Computers & Mathematics with Applications © 2023 Elsevier Ltd. All rights reserved. This article may be downloaded for personal use only. Any other use requires prior permission of the copyright holder. The Version of Record is available online at http://doi.org/10.1016/j.camwa.2023.10.009. application/pdf
spellingShingle Engineering::Mechanical engineering
Domain Decomposition Technique
Compressible Flow
Lim, Wei Xian
Chan, Wai Lee
Elhadidi, Basman
A domain decomposition technique for acoustic wave interactions and scattering
title A domain decomposition technique for acoustic wave interactions and scattering
title_full A domain decomposition technique for acoustic wave interactions and scattering
title_fullStr A domain decomposition technique for acoustic wave interactions and scattering
title_full_unstemmed A domain decomposition technique for acoustic wave interactions and scattering
title_short A domain decomposition technique for acoustic wave interactions and scattering
title_sort domain decomposition technique for acoustic wave interactions and scattering
topic Engineering::Mechanical engineering
Domain Decomposition Technique
Compressible Flow
url https://hdl.handle.net/10356/173128
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