Forum Acusticum 2026

Data-Driven Equation Discovery in Weakly Nonlinear Sound Beams

FA2026/120

10 Sept 2026, 14:40

20m

Galerie B (Messe Congress Graz)

A12 Numerical, Computational, and Theoretical Acoustics A12.02 Data-driven methods in acoustics and vibration

Speaker

Tereza Filipská (Czech Technical University in Prague)

Description

In this study, we build on our previous article, in which we presented the possibilities of data-driven equation discovery in the field of nonlinear acoustics. Now we focus on another benchmarking task: finding equations for weakly nonlinear sound beams. To this end, we rely on simulations of the compressible NavierStokes equations. In this case, we are dealing with wave propagation from a piston-oscillating boundary condition. After the appropriate transformation toretarded time and making use of the weak formulation, we again apply our algorithm and are able to re-create the textbook case to a high degree of accuracy: thewell-known Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation is discovered from data.

Presentation materials

Full paper (PDF)