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Scientific paper - Original scientific paper
Applying New Algorithms for Numerical Integration on the Sphere in the Far Field of Sound Pressure
Acoustics, 5 (2023), 4; 999-1015. https://doi.org/10.3390/acoustics5040057
Piličić, Stjepan; Skoblar, Ante; Žigulić, Roberto; Traven, Luka

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Piličić, S., Skoblar, A., Žigulić, R. & Traven, L. (2023). Applying New Algorithms for Numerical Integration on the Sphere in the Far Field of Sound Pressure. Acoustics, 5. (4), 999-1015. doi: 10.3390/acoustics5040057

Piličić, Stjepan, et al. "Applying New Algorithms for Numerical Integration on the Sphere in the Far Field of Sound Pressure." Acoustics, vol. 5, no. 4, 2023, pp. 999-1015. https://doi.org/10.3390/acoustics5040057

Piličić, Stjepan, Ante Skoblar, Roberto Žigulić and Luka Traven. "Applying New Algorithms for Numerical Integration on the Sphere in the Far Field of Sound Pressure." Acoustics 5, no. 4 (2023): 999-1015. https://doi.org/10.3390/acoustics5040057

Piličić, S., et al. (2023) 'Applying New Algorithms for Numerical Integration on the Sphere in the Far Field of Sound Pressure', Acoustics, 5(4), pp. 999-1015. doi: 10.3390/acoustics5040057

Piličić S, Skoblar A, Žigulić R, Traven L. Applying New Algorithms for Numerical Integration on the Sphere in the Far Field of Sound Pressure. Acoustics [Internet]. 2023 October 28 [cited 2025 February 04];5(4):999-1015. doi: 10.3390/acoustics5040057

S. Piličić, A. Skoblar, R. Žigulić and L. Traven, "Applying New Algorithms for Numerical Integration on the Sphere in the Far Field of Sound Pressure", Acoustics, vol. 5, no. 4, pp. 999-1015, October 2023. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:184:504792. [Accessed: 04 February 2025]

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Metadata
Title (english)Applying New Algorithms for Numerical Integration on the Sphere in the Far Field of Sound Pressure
AuthorStjepan Piličić
AuthorAnte Skoblar
AuthorRoberto Žigulić
AuthorLuka Traven
Author's institutionUniversity of Rijeka
Faculty of Medicine
(Department of Environmental Medicine)
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Interdisciplinary Technical Sciences
Abstract (english)
For some sound sources, the function of the square of sound pressure amplitudes on the sphere in the far field is an integrable function or can be integrated with geometrical simplifications, so an exact or approximated analytical expression for the sound power can be calculated. However, often the sound pressure on the sphere in the far field can only be defined in discrete points, for which a numerical integration is required for the calculation of the sound power. In this paper, two new algorithms, Anchored Radially Projected Integration on Spherical Triangles (ARPIST) and Spherical Quadrature Radial Basis Function (SQRBF), for surface numerical integration are used to calculate the sound power from the sound pressures on the sphere surface in the far field, and their solutions are compared with the analytical and the finite element method solution. If function values are available at any location on a sphere, ARPIST has a greater accuracy and stability than SQRBF while being faster and easier to implement. If function values are available only at user-prescribed locations, SQRBF can directly calculate weights while ARPIST needs data interpolation to obtain function values at predefined node locations, which reduces the accuracy and increases the calculation time.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleAcoustics
Numberingvol. 5, no. 4, pp. 999-1015
e-ISSN2624-599X
DOIhttps://doi.org/10.3390/acoustics5040057
URN:NBNurn:nbn:hr:184:504792
Publication2023-10-28
ProjectNumber: uniri-tehnic-18-225
Title (croatian): Nelinearno dinamičko ponašanje rotacijskih strojeva
Title (english): Nonlinear dynamic behavior of rotating machines
Acronym: NONDYNROT
Leader: Sanjin Braut
Jurisdiction: Croatia
Funding stream: Sveučilište u Rijeci
ProjectNumber: 769355
Title (english): Port IoT for Environmental Leverage
Acronym: PIXEL
Jurisdiction: eu
Funding stream: H2020
Document URLhttps://www.mdpi.com/2624-599X/5/4/57
Type of resourceText
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Created on2023-11-08 10:42:08