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.
DOI : 10.1051/m2an/2015007
Mots-clés : Piano model, energy preserving schemes, numerical methods
@article{M2AN_2016__50_1_93_0,
author = {Chabassier, Juliette and Durufl\'e, Marc and Joly, Patrick},
title = {Time domain simulation of a piano. {Part} 2: numerical aspects},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {93--133},
publisher = {EDP-Sciences},
volume = {50},
number = {1},
year = {2016},
doi = {10.1051/m2an/2015007},
zbl = {1381.00017},
mrnumber = {3460103},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an/2015007/}
}
TY - JOUR AU - Chabassier, Juliette AU - Duruflé, Marc AU - Joly, Patrick TI - Time domain simulation of a piano. Part 2: numerical aspects JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2016 SP - 93 EP - 133 VL - 50 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2015007/ DO - 10.1051/m2an/2015007 LA - en ID - M2AN_2016__50_1_93_0 ER -
%0 Journal Article %A Chabassier, Juliette %A Duruflé, Marc %A Joly, Patrick %T Time domain simulation of a piano. Part 2: numerical aspects %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2016 %P 93-133 %V 50 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2015007/ %R 10.1051/m2an/2015007 %G en %F M2AN_2016__50_1_93_0
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. http://www.numdam.org/articles/10.1051/m2an/2015007/
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