Fast multipole accelerated boundary element methods for room acoustics
نویسندگان
چکیده
The direct and indirect boundary element methods, accelerated via the fast multipole method, are applied to numerical simulation of room acoustics for large rooms volume $\sim 150$ $m^{3}$ frequencies up 5 kHz on a workstation. As parameter $kD$ (wavenumber times diameter) is large, stabilization previously developed FMM algorithms required accuracy. A scheme one key contribution this paper. computations validated using well-known image source solutions shoebox shaped rooms. Computations L-shaped performed illustrate ability capture diffractions. model in-room baffles, openings (doors/windows) also demonstrated. largest case has $kD>1100$ with discretization size 6 million elements. performance different integral formulations was compared, their rates convergence preconditioned flexible GMRES were found be substantially different. These promising results suggest path efficient simulations high methods.
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ژورنال
عنوان ژورنال: Journal of the Acoustical Society of America
سال: 2021
ISSN: ['0001-4966', '1520-9024', '1520-8524']
DOI: https://doi.org/10.1121/10.0006102