The application of fourier neural operator networks for solving the 2d linear acoustic wave equation

Michael Middleton*, Damian T. Murphy, Lauri Savioja

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In recent years, data-driven operator approximation techniques have been explored as a means of solving physical problems described by ordinary and partial differential equations. In this paper, solutions to the linear 2D acoustic wave equation predicted by Fourier neural operator (FNO) networks are investigated in a square, free-field domain. The network's ability to generalise over variable excitation source positions in unseen locations is investigated. Furthermore, the network is tasked with learning progressively longer solutions in time to assess how the ratio of input to output data affects network prediction accuracy. Error between ground truth and predicted simulations is quantified and examined in an acoustics context.

Original languageEnglish
Title of host publicationForum Acusticum 2023 - 10th Convention of the European Acoustics Association, EAA 2023
PublisherEuropean Acoustics Association, EAA
ISBN (Electronic)9788888942674
Publication statusPublished - 15 Sept 2023
Event10th Convention of the European Acoustics Association, EAA 2023 - Torino, Italy
Duration: 11 Sept 202315 Sept 2023

Publication series

NameProceedings of Forum Acusticum
ISSN (Print)2221-3767

Conference

Conference10th Convention of the European Acoustics Association, EAA 2023
Country/TerritoryItaly
CityTorino
Period11/09/2315/09/23

Bibliographical note

Publisher Copyright:
© 2023 Michael Middleton This is an open-access article distributed under the terms of the Creative Commons Attribution 3.0 Unported License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Keywords

  • acoustic simulation
  • deep learning
  • FDTD
  • Fourier neural operator
  • physics-informed neural network

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