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Learning Flame Evolution Operator under Hybrid Darrieus Landau and Diffusive Thermal Instability

Yu, Rixin LU ; Hodzic, Erdzan LU and Nogenmyr, Karl Johan LU (2024) In Energies 17(13).
Abstract

Recent advancements in the integration of artificial intelligence (AI) and machine learning (ML) with physical sciences have led to significant progress in addressing complex phenomena governed by nonlinear partial differential equations (PDEs). This paper explores the application of novel operator learning methodologies to unravel the intricate dynamics of flame instability, particularly focusing on hybrid instabilities arising from the coexistence of Darrieus–Landau (DL) and Diffusive–Thermal (DT) mechanisms. Training datasets encompass a wide range of parameter configurations, enabling the learning of parametric solution advancement operators using techniques such as parametric Fourier Neural Operator (pFNO) and parametric... (More)

Recent advancements in the integration of artificial intelligence (AI) and machine learning (ML) with physical sciences have led to significant progress in addressing complex phenomena governed by nonlinear partial differential equations (PDEs). This paper explores the application of novel operator learning methodologies to unravel the intricate dynamics of flame instability, particularly focusing on hybrid instabilities arising from the coexistence of Darrieus–Landau (DL) and Diffusive–Thermal (DT) mechanisms. Training datasets encompass a wide range of parameter configurations, enabling the learning of parametric solution advancement operators using techniques such as parametric Fourier Neural Operator (pFNO) and parametric convolutional neural networks (pCNNs). Results demonstrate the efficacy of these methods in accurately predicting short-term and long-term flame evolution across diverse parameter regimes, capturing the characteristic behaviors of pure and blended instabilities. Comparative analyses reveal pFNO as the most accurate model for learning short-term solutions, while all models exhibit robust performance in capturing the nuanced dynamics of flame evolution. This research contributes to the development of robust modeling frameworks for understanding and controlling complex physical processes governed by nonlinear PDEs.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
convolutional neural network, fourier neural operator, intrinsic flame instability, machine learning, operator learning, partial differential equation
in
Energies
volume
17
issue
13
article number
3097
publisher
MDPI AG
external identifiers
  • scopus:85198224174
ISSN
1996-1073
DOI
10.3390/en17133097
language
English
LU publication?
yes
id
0a8c1be5-7af8-489e-8042-7f651f703462
date added to LUP
2024-10-03 15:28:03
date last changed
2025-04-04 15:23:27
@article{0a8c1be5-7af8-489e-8042-7f651f703462,
  abstract     = {{<p>Recent advancements in the integration of artificial intelligence (AI) and machine learning (ML) with physical sciences have led to significant progress in addressing complex phenomena governed by nonlinear partial differential equations (PDEs). This paper explores the application of novel operator learning methodologies to unravel the intricate dynamics of flame instability, particularly focusing on hybrid instabilities arising from the coexistence of Darrieus–Landau (DL) and Diffusive–Thermal (DT) mechanisms. Training datasets encompass a wide range of parameter configurations, enabling the learning of parametric solution advancement operators using techniques such as parametric Fourier Neural Operator (pFNO) and parametric convolutional neural networks (pCNNs). Results demonstrate the efficacy of these methods in accurately predicting short-term and long-term flame evolution across diverse parameter regimes, capturing the characteristic behaviors of pure and blended instabilities. Comparative analyses reveal pFNO as the most accurate model for learning short-term solutions, while all models exhibit robust performance in capturing the nuanced dynamics of flame evolution. This research contributes to the development of robust modeling frameworks for understanding and controlling complex physical processes governed by nonlinear PDEs.</p>}},
  author       = {{Yu, Rixin and Hodzic, Erdzan and Nogenmyr, Karl Johan}},
  issn         = {{1996-1073}},
  keywords     = {{convolutional neural network; fourier neural operator; intrinsic flame instability; machine learning; operator learning; partial differential equation}},
  language     = {{eng}},
  number       = {{13}},
  publisher    = {{MDPI AG}},
  series       = {{Energies}},
  title        = {{Learning Flame Evolution Operator under Hybrid Darrieus Landau and Diffusive Thermal Instability}},
  url          = {{http://dx.doi.org/10.3390/en17133097}},
  doi          = {{10.3390/en17133097}},
  volume       = {{17}},
  year         = {{2024}},
}