The trumpet sample modeling crack6/13/2023 To model sound propagation with losses through homogeneous media, we use Westervelt's nonlinear wave equation with strong damping. We propose a high-order discontinuous Galerkin scheme for nonlinear acoustic waves on polytopic meshes. Extensive documentation is provided by the accompanying technical report and user guide. The code is open-source, lightweight, user-friendly, and written in MATLAB R2020a. Close agreement with both measured input impedance spectra, and those calculated by existing techniques, is demonstrated for four bore profiles from published work. Modal inharmonicity is determined from Equivalent Fundamental Pitch deviation. OSCILOS_brass incorporates new user-configurable boundary conditions from existing musical-acoustical models, and a powerful framework for describing bore geometry, both analytically and from measurements. In this work, an existing thermoacoustic solver, OSCILOS, is repurposed to predict the modal frequencies of brass instruments. The ability to predict accurately the modal frequencies of a given bore geometry is an essential component of ongoing brass-wind acoustics research, and of commercial instrument design and optimisation, but remains a nontrivial task. Each instrument has a unique spectral fingerprint, which depends primarily on the geometry of the bore cavity. The characteristic sound quality of brass wind instruments is determined by the frequency and amplitude distribution of their resonant modes.
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