Analysis of sound wave equations in spherical coordinates using Galerkin weighted residuals method and spherical harmonic functions

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dc.contributor.authorKarasoy, Taner
dc.contributor.authorYagimli, Mustafa
dc.date.accessioned2024-06-13T20:18:27Z
dc.date.available2024-06-13T20:18:27Z
dc.date.issued2024
dc.departmentİstanbul Gedik Üniversitesien_US
dc.description.abstractPurpose: In this study, it is aimed to bring an unusual mathematical perspective by using semi-analytical mathematical solution methods, unlike the sound intensity determination formulas available in acoustics, and this scientific approach is supported by numerical data. Theory and Methods: Galerkin Weighted Residues Method (WRM) and Spherical Harmonic Functions, which have been used frequently in sound problems in recent years, are used for the solution of sound wave equations in spherical coordinates, which have not been observed in the literature before, in determining the periodic pressure values of sound.Results: Based on the directivity coefficient and spherical harmonic functions in detecting sound pressure levels in the near field, The Critical Distance Threshold, ??????ini, was defined and combined with data from WRM. It has been observed that the Critical Distance threshold value provides very sensitive results in near field distance calculations. The importance of the number of weight functions of WRM in long distance calculations has especially emerged.Conclusion: The critical distance threshold value has an important place in all mathematical analyzes. In the determination of this value, the effect of spherical harmonic functions and the multiplicity of weight functions are clearly seen.en_US
dc.identifier.doi10.17341/gazimmfd.1171452
dc.identifier.endpage942en_US
dc.identifier.issn1300-1884
dc.identifier.issn1304-4915
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85179760337en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage933en_US
dc.identifier.urihttps://doi.org/10.17341/gazimmfd.1171452
dc.identifier.urihttps://hdl.handle.net/11501/1367
dc.identifier.volume39en_US
dc.identifier.wosWOS:001147255200008en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherGazi Univ, Fac Engineering Architectureen_US
dc.relation.ispartofJournal of the Faculty of Engineering and Architecture of Gazi Universityen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSpherical Sound Wave Equationsen_US
dc.subjectGalerkin Weighted Residual Methodsen_US
dc.subjectSpherical Harmonic Functionsen_US
dc.subjectSound Pressure Levelen_US
dc.subjectFielden_US
dc.subjectDecompositionen_US
dc.subjectTransmissionen_US
dc.subjectDuctsen_US
dc.titleAnalysis of sound wave equations in spherical coordinates using Galerkin weighted residuals method and spherical harmonic functionsen_US
dc.typeArticleen_US

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