Realistic Source Modeling in Wave-based Virtual Acoustics

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The modelling of sources in wave-based virtual acoustics has a long history, and many forms have emerged, including hard, soft and transparent sources. What has been lacking is an underlying model against which numerically-computed solutions may be compared. In this paper, a fully spatio-temporal 1D source model is presented, framed in terms of a source impedance, source strength and employing localised distributions (Dirac delta functions) and their distributional derivatives as additional driving terms in the wave equation; such a model allows for the interaction of the source with the field, through both the generation of wave energy and reflection of incoming waves. Exact solutions may be deduced for the model, and the model itself is fully general and independent of any particular discretisation technique. As the model incorporates feedback, new concerns regarding numerical stability for any resulting numerical method emerge, but can be handled using energy balance techniques. Numerical simulation results are presented.
Original languageEnglish
Title of host publicationForum Acusticum
Place of PublicationLyon, France
Number of pages7
Publication statusPublished - 26 May 2021


  • room acoustics
  • source modeling
  • finite difference time domain
  • wave-based methods


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