Time Domain Simulation of a Piano. Part 2 : Numerical Aspects

Juliette Chabassier (1) , Marc Duruflé (1, 2) , P Joly (3)

1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
2 IMB - Institut de Mathématiques de Bordeaux
3 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

This article is the second of a series of two papers devoted to the numerical simulation of the piano. It concerns the numerical aspects of the work, the implementation of a piano code and the presentation of corresponding simulations. The main difficulty is time discretisation and stability is achieved via energy methods. Numerical illustrations are provided for a realistic piano and compared to experimental recordings.

Domaines: Equations aux dérivées partielles [math.AP]

Juliette Chabassier, Marc Duruflé, P Joly. Time Domain Simulation of a Piano. Part 2 : Numerical Aspects. ESAIM: Mathematical Modelling and Numerical Analysis, 2016, 50 (1), pp.93-133. ⟨hal-01085477⟩