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Directional sound source modeling using the adjoint Euler equations in a finite-difference time-domain approach

  • An adjoint-based approach for synthesizing complex sound sources by discrete, grid-based monopoles in finite-difference time-domain simulations is presented. Previously [Stein et al., 2019a, J. Acoust. Soc. Am. 146(3), 1774–1785] demonstrated that the approach allows to consider unsteady and non-uniform ambient conditions such as wind flow and thermal gradient in contrast to standard methods of numerical sound field simulation. In this work, it is proven that not only ideal monopoles but also realistic sound sources with complex directivity characteristics can be synthesized. In detail, an oscillating circular piston and a real 2-way near-field monitor are modeled. The required number of monopoles in terms of the SPL deviation between the directivity of the original and the synthesized source is analyzed. Since the computational effort is independent of the number of monopoles used for the synthesis, also more complex sources can be reproduced by increasing the number of monopoles utilized. In contrast to classical least-square problem solvers, this does not increase the computational effort, which makes the method attractive for predicting the effect of sound reinforcement systems with highly directional sources under difficult acoustic boundary conditions.

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Author:Lewin SteinORCiD, Florian Straube, Stefan Weinzierl, Mathias Lemke
Document Type:Article
Parent Title (English):Acoustical Society of America
First Page:3075
Last Page:3085
Publisher:The Journal of the Acoustical Society of America
Year of first publication:2020
Page Number:11
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International
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