| Autor: |
John Vanderkooy, Janelle Resch, Andrew Giuliani, Lilia Krivodonova |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Springer Proceedings in Mathematics & Statistics ISBN: 9783319997186 |
| DOI: |
10.1007/978-3-319-99719-3_21 |
| Popis: |
An axisymmetric model to simulate the evolution of nonlinear waves through a trumpet is presented. In particular, we simulate the time pressure waveform of a musical note as it travels through the instrument. The flare expansion and curvature of the initial tubing near the mouthpiece shank is carefully modeled. For the mathematical model, we chose the compressible Euler equations and solved them numerically using a GPU implementation of the discontinuous Galerkin method. We compare our numerical results with a full three-dimensional model. We find that axisymmetric simulations exhibit less numerical diffusion while providing better resolution without additional mesh refinement. Moreover, axisymmetric simulations significantly reduce runtime and required memory. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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