Finite difference time domain discretization for room acoustic simulation based on the non-linear Euler equations
In comparison to geometric acoustics, wave-based simulation techniques in the time domain have a much higher degree of accuracy. Latest modeling techniques like immersed boundaries reduce modeling effort significantly. This paper aims to present and discuss the use of techniques for first-order part...
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EDP Sciences
2024-01-01
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| Series: | Acta Acustica |
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| Online Access: | https://acta-acustica.edpsciences.org/articles/aacus/full_html/2024/01/aacus240004/aacus240004.html |
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| author | Hölter Arne Weinzierl Stefan Lemke Mathias |
| author_facet | Hölter Arne Weinzierl Stefan Lemke Mathias |
| author_sort | Hölter Arne |
| collection | DOAJ |
| description | In comparison to geometric acoustics, wave-based simulation techniques in the time domain have a much higher degree of accuracy. Latest modeling techniques like immersed boundaries reduce modeling effort significantly. This paper aims to present and discuss the use of techniques for first-order partial differential (non-linear) Euler equations in finite-difference time-domain simulations for room acoustic applications. This includes the governing equations, spatial and temporal discretization schemes, filtering schemes, and boundary conditions. All methods are fully parallelizable and mostly known from computational aeroacoustics. They are analyzed with respect to their dispersion and stability behavior as well as their computational efficiency. They are proven in a cubic room with rigid boundaries. Finally, a volume penalization method is used to mimic real impedance boundary conditions in benchmark cases for room acoustic simulations to demonstrate the transferability to real-world scenarios. |
| format | Article |
| id | doaj-art-d067ea13bda845a9a3b38f878b6ca391 |
| institution | Kabale University |
| issn | 2681-4617 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | Acta Acustica |
| spelling | doaj-art-d067ea13bda845a9a3b38f878b6ca3912025-01-06T10:55:39ZengEDP SciencesActa Acustica2681-46172024-01-0187510.1051/aacus/2024071aacus240004Finite difference time domain discretization for room acoustic simulation based on the non-linear Euler equationsHölter Arne0https://orcid.org/0009-0000-8322-8948Weinzierl Stefan1https://orcid.org/0000-0002-9427-9932Lemke Mathias2https://orcid.org/0000-0002-3909-3553Audio Communication Group, TU BerlinAudio Communication Group, TU BerlinNumerical Fluid Dynamics Group, TU BerlinIn comparison to geometric acoustics, wave-based simulation techniques in the time domain have a much higher degree of accuracy. Latest modeling techniques like immersed boundaries reduce modeling effort significantly. This paper aims to present and discuss the use of techniques for first-order partial differential (non-linear) Euler equations in finite-difference time-domain simulations for room acoustic applications. This includes the governing equations, spatial and temporal discretization schemes, filtering schemes, and boundary conditions. All methods are fully parallelizable and mostly known from computational aeroacoustics. They are analyzed with respect to their dispersion and stability behavior as well as their computational efficiency. They are proven in a cubic room with rigid boundaries. Finally, a volume penalization method is used to mimic real impedance boundary conditions in benchmark cases for room acoustic simulations to demonstrate the transferability to real-world scenarios.https://acta-acustica.edpsciences.org/articles/aacus/full_html/2024/01/aacus240004/aacus240004.htmlroom acousticsfinite difference methodswave-based simulationimmersed boundaries |
| spellingShingle | Hölter Arne Weinzierl Stefan Lemke Mathias Finite difference time domain discretization for room acoustic simulation based on the non-linear Euler equations Acta Acustica room acoustics finite difference methods wave-based simulation immersed boundaries |
| title | Finite difference time domain discretization for room acoustic simulation based on the non-linear Euler equations |
| title_full | Finite difference time domain discretization for room acoustic simulation based on the non-linear Euler equations |
| title_fullStr | Finite difference time domain discretization for room acoustic simulation based on the non-linear Euler equations |
| title_full_unstemmed | Finite difference time domain discretization for room acoustic simulation based on the non-linear Euler equations |
| title_short | Finite difference time domain discretization for room acoustic simulation based on the non-linear Euler equations |
| title_sort | finite difference time domain discretization for room acoustic simulation based on the non linear euler equations |
| topic | room acoustics finite difference methods wave-based simulation immersed boundaries |
| url | https://acta-acustica.edpsciences.org/articles/aacus/full_html/2024/01/aacus240004/aacus240004.html |
| work_keys_str_mv | AT holterarne finitedifferencetimedomaindiscretizationforroomacousticsimulationbasedonthenonlineareulerequations AT weinzierlstefan finitedifferencetimedomaindiscretizationforroomacousticsimulationbasedonthenonlineareulerequations AT lemkemathias finitedifferencetimedomaindiscretizationforroomacousticsimulationbasedonthenonlineareulerequations |