Abstract : This paper deals with the discretization of our global piano model. We have to solve a complex system of coupled equations, where each subsystem has different spatial dimensions, which poses specific difficulties. The hammer-strings part is a 1D system governed by nonlinear equations. The soundboard is a 2D system with diagonal damping. The acoustic field is a 3D problem in an unbounded domain. Energy based methods allow to build an accurate and a priori stable scheme.
https://hal.inria.fr/hal-00873629
Contributor : Juliette Chabassier
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Submitted on : Wednesday, October 16, 2013 - 10:32:07 AM
Last modification on : Monday, January 13, 2020 - 2:38:06 PM
Long-term archiving on: Friday, April 7, 2017 - 11:36:50 AM
Juliette Chabassier, Antoine Chaigne, Marc Duruflé, Patrick Joly. Modeling the piano. Numerical Aspects.. WAVES 13 : 11th International Conference on Mathematical and Numerical Aspects of Waves, Jun 2013, Tunis, Tunisia. ⟨hal-00873629⟩
