Efficient method for calculating sound radiation from a circular source in an infinite baffle

Krzysztof Szemela, Wojciech P. Rdzanek, Marek Pawelczyk, Li Cheng

Research output: Journal article publicationJournal articleAcademic researchpeer-review


The numerically efficient solution describing the sound radiation from a circular source located in a flat, rigid baffle is obtained. For this purpose, a half-space was divided into two subregions coupled through continuity equations. The Helmholtz equation was solved in both subregions. The proposed method can be used for circular baffled sources in the case when fluid–structure interactions are included, as well as for an input from a waveguide or cavity. The validity and numerical efficiency of the presented solution were tested assuming that a clamped circular plate is a source. The numerical simulations show that the results given by the proposed method agree with those given by the known integral solution. The exceptions are the field points at which the integral formulas fail and provide incorrect values of the sound pressure. Hence, the presented formulas can be the only method to perform accurate calculations at troublesome field points. The numerical efficiencies of the obtained formulas and integral ones were compared by estimating the value of the appropriate time ratios. The numerical analysis shows that the proposed method can be used to significantly improve calculations of the sound power and the sound pressure.

Original languageEnglish
Article number118515
JournalJournal of Sound and Vibration
Publication statusPublished - 10 Oct 2024


  • Baffled circular sound source
  • Continuity equations
  • Helmholtz equation in the spherical coordinate system
  • Numerical efficiency
  • Sound power
  • Sound pressure

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering


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