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Numerical simulation of a guitar. (English) Zbl 1047.76115
Cohen, Gary C. (ed.) et al., Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June – 4 July 2003. Berlin: Springer (ISBN 3-540-40127-X/hbk). 54-59 (2003).
The purpose is the time domain simulation of the sound pressure radiated by a guitar. In the suggested model the sound board is coupled to an open air cavity, and the outer air is excited by a string by means of a bridge. The modeling of the complete three-dimensional sound field presents a new approach opposite to previous ones, where the cavity was taken into account as a simple oscillator. The authors use a spectral method for solving the Kirchhoff-Love’s dynamic plate model for orthotropic material, a fictitious domain method for solving the fluid-structure interaction, and a conservative scheme for time discretization.
For the entire collection see [Zbl 1029.00072].

76Q05 Hydro- and aero-acoustics
76M22 Spectral methods applied to problems in fluid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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