{"title":"使用时域节点非连续伽勒金方法对建筑物内的声辐射和传播进行数值建模","authors":"","doi":"10.1016/j.apacoust.2024.110197","DOIUrl":null,"url":null,"abstract":"<div><p>This study presents numerical solutions for two vibroacoustic problems using the time-domain nodal discontinuous Galerkin (DG) method. The first problem is the impact sound radiation from a rectangular slab into a cuboid room, and the second is the sound transmission between two cuboid rooms with direct and flanking contributions. The structures are modelled as a three-dimensional solid governed by the linear elasticity equations, and sound propagation in the rooms is governed by the linear acoustic equations. In the impact sound radiation case, the normalised sound pressure is evaluated and compared to the one obtained by the modal expansion method. In the sound transmission case, pressure transfer functions between different positions are calculated and compared to those obtained by the finite element method (FEM). The upwind numerical fluxes in DG for both governing equations, as well as the coupling conditions, are presented. There is excellent agreement between the solutions obtained by the nodal DG and those obtained by the modal expansion method/FEM. Although minor discrepancies exist in the resonance frequencies and magnitude, the overall trend shows good agreement.</p></div>","PeriodicalId":55506,"journal":{"name":"Applied Acoustics","volume":null,"pages":null},"PeriodicalIF":3.4000,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical modelling of sound radiation and transmission in buildings using the time-domain nodal discontinuous Galerkin method\",\"authors\":\"\",\"doi\":\"10.1016/j.apacoust.2024.110197\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This study presents numerical solutions for two vibroacoustic problems using the time-domain nodal discontinuous Galerkin (DG) method. The first problem is the impact sound radiation from a rectangular slab into a cuboid room, and the second is the sound transmission between two cuboid rooms with direct and flanking contributions. The structures are modelled as a three-dimensional solid governed by the linear elasticity equations, and sound propagation in the rooms is governed by the linear acoustic equations. In the impact sound radiation case, the normalised sound pressure is evaluated and compared to the one obtained by the modal expansion method. In the sound transmission case, pressure transfer functions between different positions are calculated and compared to those obtained by the finite element method (FEM). The upwind numerical fluxes in DG for both governing equations, as well as the coupling conditions, are presented. There is excellent agreement between the solutions obtained by the nodal DG and those obtained by the modal expansion method/FEM. Although minor discrepancies exist in the resonance frequencies and magnitude, the overall trend shows good agreement.</p></div>\",\"PeriodicalId\":55506,\"journal\":{\"name\":\"Applied Acoustics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2024-08-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Acoustics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0003682X24003487\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ACOUSTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Acoustics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0003682X24003487","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ACOUSTICS","Score":null,"Total":0}
Numerical modelling of sound radiation and transmission in buildings using the time-domain nodal discontinuous Galerkin method
This study presents numerical solutions for two vibroacoustic problems using the time-domain nodal discontinuous Galerkin (DG) method. The first problem is the impact sound radiation from a rectangular slab into a cuboid room, and the second is the sound transmission between two cuboid rooms with direct and flanking contributions. The structures are modelled as a three-dimensional solid governed by the linear elasticity equations, and sound propagation in the rooms is governed by the linear acoustic equations. In the impact sound radiation case, the normalised sound pressure is evaluated and compared to the one obtained by the modal expansion method. In the sound transmission case, pressure transfer functions between different positions are calculated and compared to those obtained by the finite element method (FEM). The upwind numerical fluxes in DG for both governing equations, as well as the coupling conditions, are presented. There is excellent agreement between the solutions obtained by the nodal DG and those obtained by the modal expansion method/FEM. Although minor discrepancies exist in the resonance frequencies and magnitude, the overall trend shows good agreement.
期刊介绍:
Since its launch in 1968, Applied Acoustics has been publishing high quality research papers providing state-of-the-art coverage of research findings for engineers and scientists involved in applications of acoustics in the widest sense.
Applied Acoustics looks not only at recent developments in the understanding of acoustics but also at ways of exploiting that understanding. The Journal aims to encourage the exchange of practical experience through publication and in so doing creates a fund of technological information that can be used for solving related problems. The presentation of information in graphical or tabular form is especially encouraged. If a report of a mathematical development is a necessary part of a paper it is important to ensure that it is there only as an integral part of a practical solution to a problem and is supported by data. Applied Acoustics encourages the exchange of practical experience in the following ways: • Complete Papers • Short Technical Notes • Review Articles; and thereby provides a wealth of technological information that can be used to solve related problems.
Manuscripts that address all fields of applications of acoustics ranging from medicine and NDT to the environment and buildings are welcome.