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Conference papers

Modeling the piano. Numerical Aspects.

Juliette Chabassier 1 Antoine Chaigne 2 Marc Duruflé 1, 3 Patrick Joly 4
1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
4 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
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.
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https://hal.inria.fr/hal-00873629
Contributor : Juliette Chabassier <>
Submitted on : Wednesday, October 16, 2013 - 10:32:07 AM
Last modification on : Thursday, March 5, 2020 - 7:22:58 PM
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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⟩

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