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Prediction of acoustic field in 1-D uniform duct with varying mean flow and temperature using neural networks

arXiv 2507.22370 ↗First posted 30 Jul 2025cs.LG cs.SD eess.AScited by 0

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Abstract (arXiv)

Neural networks constrained by the physical laws emerged as an alternate numerical tool. In this paper, the governing equation that represents the propagation of sound inside a one-dimensional duct carrying a heterogeneous medium is derived. The problem is converted into an unconstrained optimization problem and solved using neural networks. Both the acoustic state variables: acoustic pressure and particle velocity are predicted and validated with the traditional Runge-Kutta solver. The effect of the temperature gradient on the acoustic field is studied. Utilization of machine learning techniques such as transfer learning and automatic differentiation for acoustic applications is demonstrated.

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References · 11

  1. 2015Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classificationcited by 3,611
  2. 2022Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's nextcited by 608
  3. 2021One-Shot Transfer Learning of Physics-Informed Neural Networkscited by 49
  4. 2022Transfer learning based physics-informed neural networks for solving inverse problems in engineering structures under different loading scenarioscited by 46
  5. 2021Inverse-Dirichlet Weighting Enables Reliable Training of Physics Informed Neural Networkscited by 43
  6. 2021Physics and Equality Constrained Artificial Neural Networks: Application to Forward and Inverse Problems with Multi-fidelity Data Fusioncited by 38
  7. 2019Machine learning in acoustics: theory and applicationscited by 36
  8. 2022SVD-PINNs: Transfer Learning of Physics-Informed Neural Networks via Singular Value Decompositioncited by 13
  9. 2022Transfer Learning with Physics-Informed Neural Networks for Efficient Simulation of Branched Flowscited by 12
  10. 2023Augmenting a Physics-Informed Neural Network for the 2D Burgers Equation by Addition of Solution Data Pointscited by 5
  11. 2021A study on native American English speech recognition by Indian listeners with varying word familiarity levelcited by 2

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