Geodesic
Time domain simulation of a piano. Part 2: numerical aspects
Chabassier, Juliette 1 idref     ; Duruflé, Marc 1   ; Joly, Patrick 2 idref  
1 Magique 3D team, Inria Sud Ouest, 200 avenue de la vieille tour, 33 405 Talence cedex, France
2 POems team, Inria Saclay, ENSTA ParisTech, 828, Boulevard des Maréchaux, 91762 Palaiseau cedex, France
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 50 (2016) no. 1, pp. 93-133 Cet article a éte moissonné depuis la source Numdam

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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 discretization and stability is achieved via energy methods. Numerical illustrations are provided for a realistic piano and compared to experimental recordings.

Reçu le :
DOI : 10.1051/m2an/2015007
Classification : 00A71, 00A65, 65P05, 65N25, 35Q72, 35L05
Keywords: Piano model, energy preserving schemes, numerical methods

Chabassier, Juliette  1   ; Duruflé, Marc  1   ; Joly, Patrick  2

1 Magique 3D team, Inria Sud Ouest, 200 avenue de la vieille tour, 33 405 Talence cedex, France
2 POems team, Inria Saclay, ENSTA ParisTech, 828, Boulevard des Maréchaux, 91762 Palaiseau cedex, France 
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     title = {Time domain simulation of a piano. {Part} 2: numerical aspects},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {93--133},
     year = {2016},
     publisher = {EDP-Sciences},
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     mrnumber = {3460103},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2015007/}
}
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Chabassier, Juliette; Duruflé, Marc; Joly, Patrick. Time domain simulation of a piano. Part 2: numerical aspects. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 50 (2016) no. 1, pp. 93-133. doi: 10.1051/m2an/2015007

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