Issue |
ESAIM: M2AN
Volume 50, Number 1, January-February 2016
|
|
---|---|---|
Page(s) | 93 - 133 | |
DOI | https://doi.org/10.1051/m2an/2015007 | |
Published online | 16 November 2015 |
Time domain simulation of a piano. Part 2: numerical aspects
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
patrick.joly@inria.fr
Received:
12
March
2014
Revised:
13
October
2014
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.
Mathematics Subject Classification: 00A71 / 00A65 / 65P05 / 65N25 / 35Q72 / 35L05
Key words: Piano model / energy preserving schemes / numerical methods
© EDP Sciences, SMAI, 2015
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