===== Boundary Element Modeling for Acoustic Systems =====

**Participants:** Simon de Leon

**Period:** 2006 - 2007

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==== Summary ====

A technique based on the boundary element method for the numerical simulation of three-dimensional linear acoustic systems is presented. Using surface meshes generated by [[http://www-math.mit.edu/~persson/mesh/|Distmesh]], pressure is extracted from arbitrary points within the mesh's enclosed volume by integration of retarded potentials across the boundary. As a result, mesh junction calculations and topology-related inaccuracies within the volume are avoided. For simulations of struck instruments, membrane motion is modeled using digital waveguide junctions adapted for an unstructured triangular topology and coupled with the internal pressure field. The method is also used to extract response characteristics of an open, unflanged pipe and compared to a waveguide model. Finally, possible future work of the freely available software developed for this project are outlined.

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==== Publications ====
  * Simon de Leon, {{:publications:ma_deleon_2008.pdf|"The Boundary Element Method for Linear Acoustic Systems."}} M.A. thesis, McGill University, 2008. [1.8 MB]

  * de Leon, S. and Scavone, G. "Coupled Time-Domain Simulation of Linear Acoustic Systems by Boundary Integration." In Proceedings of the 2007 International Symposium on Musical Acoustics, Barcelona, Spain, September 2007.

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