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.
Type de document :
Communication dans un congrès
WAVES 13 : 11th International Conference on Mathematical and Numerical Aspects of Waves, Jun 2013, Tunis, Tunisia. 2013
https://hal.inria.fr/hal-00873629
Contributeur : Juliette Chabassier
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Soumis le : mercredi 16 octobre 2013 - 10:32:07
Dernière modification le : jeudi 11 janvier 2018 - 06:22:12
Document(s) archivé(s) le : vendredi 7 avril 2017 - 11:36:50
Juliette Chabassier, Antoine Chaigne, Marc Durufle, Patrick Joly. Modeling the piano. Numerical Aspects.. WAVES 13 : 11th International Conference on Mathematical and Numerical Aspects of Waves, Jun 2013, Tunis, Tunisia. 2013. 〈hal-00873629〉
