bAix Marseille Univ, CNRS, Centrale Marseille, LMA, UMR 7031, Marseille
Our project develops an optimisation software (OpenWind) for wind instrument making. The approach is based on a strong interaction with makers and musicians, aiming at defining interesting criteria that should be optimized, from their point of view. After a quantitative transcription of these criteria, under the form of a cost function and a design parameter space, we implement state-of-the-art numerical techniques (finite elements method (FEM), full waveform inversion (FWI), various optimisation techniques) with a flexible framework (in terms of models, formulations, coupling terms…) in order to solve the optimisation problem. More precisely, we exploit the fact that the sound waves inside the instruments are solution to acoustic equations in pipes, which gives us access to the full waveform inversion technique, that can be used in both time and frequency domains. The chosen methodologies weekly depend on the criterion and can be adapted to multiple physical situations (non constant temperature, multimodal decomposition in the pipe, coupling with an embouchure, …), which can therefore be modified a posteriori. The goal is to proceed iteratively between the instrument makers and the numerical optimisation tool (openwind) in order to achieve, finally, criteria that are representative in terms of instrument tone and ease of playing.
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