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Boundary Element Modeling of the Human Auditory System

Boundary Element Modeling of the Human Auditory System. Timothy Walsh Sandia National Laboratories Albuquerque, NM Leszek Demkowicz, Richard Charles TICAM The University of Texas at Austin Austin,TX. Motivation. Schematic of the human auditory system. Goals of Research.

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Boundary Element Modeling of the Human Auditory System

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  1. Boundary Element Modeling of the Human Auditory System Timothy Walsh Sandia National Laboratories Albuquerque, NM Leszek Demkowicz, Richard Charles TICAM The University of Texas at Austin Austin,TX

  2. Motivation Schematic of the human auditory system

  3. Goals of Research • Compute Head-Related Transfer Function (HRTF) and compare w/ experimental data • Reproduce canal resonance modes • Goal-oriented adaptivity • A-patch C1 surface reconstruction • Parallelization of formation, solve, and error estimation

  4. Head-Related Transfer Function • HRTF maps pressure at eardrum vs frequency and angle of incidence • Useful for hearing aid design, virtual acoustical simulators, localization research • Individual signature • Benchmark for comparison

  5. Weak Form of Burton-Miller IE

  6. A-Patch Surface Reconstruction (Bajaj, Xu)

  7. A-Patch Surface Reconstruction Linear elements Quadratic elements Cubic elements

  8. Parallelization of BEM

  9. Goal-Oriented Adaptivity for BEM

  10. Goal-Oriented Adaptivity for BEM

  11. Goal-Oriented Adaptivity for BEM

  12. Goal-Oriented Adaptivity for BEM

  13. Goal-Oriented Adaptivity for BEM

  14. Goal-Oriented Adaptivity for BEM

  15. Goal-Oriented Adaptivity for BEM

  16. Goal-Oriented Adaptivity for BEM

  17. Goal-Oriented Adaptivity for BEM

  18. Goal-Oriented Adaptivity for BEM

  19. Goal-Oriented Adaptivity for BEM

  20. Goal-Oriented Adaptivity for BEM

  21. Goal-Oriented Adaptivity for BEM

  22. Goal-Oriented Adaptivity for BEM

  23. Goal-Oriented Adaptivity for BEM

  24. Goal-Oriented Adaptivity for BEM

  25. Areas of Interest for Scattering on Sphere / Half Sphere

  26. Mesh Adaptivity for Scattering on the Sphere

  27. Error in Quantity of Interest for Scattering on the Sphere

  28. Area of Interest for Scattering on Human Head

  29. Goal-Oriented Adaptivity on Ear L2 Residual Adaptivity Goal-Oriented Adaptivity

  30. Pressure Distributions on the Head at 500 Hz

  31. Pressure Distributions on the Head at 500 Hz

  32. Comparison with Experimental Data

  33. Comparison with Experimental Data

  34. Comparison with Experimental Data

  35. Comparison with Experimental Data

  36. Comparison of Response with and without Canal

  37. Comparison of Response with and without Canal

  38. Comparison of Response with and without Canal

  39. Comparison with and without Canal

  40. Comparison of Head and Sphere

  41. Resonance Mode of the Concha

  42. Resonance of Ear Canal

  43. Conclusions • BEM simulations can reproduce acoustical field outside and inside ear canal • BEM simulations can be used to generate clinical auditory data • BEM can reproduce resonance patterns inside ear canal • Goal-oriented adaptivity applied to BEM allows for high-frequency simulations without uniformly fine meshes

  44. Conclusions • Spatial cues not influenced by ear canal

  45. Future Work • Proposal for hearing aid simulations • Fast-multipole methods + adaptivity • Middle, inner ear simulations

  46. Acknowledgements • Richard Charles, initiation of project, ear canal mesh, etc. • NPACI: financial support (PI: J.T. Oden) • Dr. Bajaj, Xu, Center for Computational Visualization – Apatch procedure • Dr. R.A. van de Geijn: PLAPACK

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