Partial differential equations meet deep neural networks: A survey

S Huang, W Feng, C Tang, J Lv - arXiv preprint arXiv:2211.05567, 2022 - arxiv.org
Many problems in science and engineering can be represented by a set of partial differential
equations (PDEs) through mathematical modeling. Mechanism-based computation following …

Progress and prospects of artificial intelligence development and applications in supersonic flow and combustion

J Le, M Yang, M Guo, Y Tian, H Zhang - Progress in Aerospace Sciences, 2024 - Elsevier
Due to the significant improvement in computing power and the rapid advancement of data
processing technologies, artificial intelligence (AI) has introduced new tools and …

SVD perspectives for augmenting DeepONet flexibility and interpretability

S Venturi, T Casey - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
Deep operator networks (DeepONets) are powerful and flexible architectures that are
attracting attention in multiple fields due to their utility for fast and accurate emulation of …

[HTML][HTML] Gradient boosted decision trees for combustion chemistry integration

S Yao, A Kronenburg, A Shamooni, OT Stein… - Applications in Energy …, 2022 - Elsevier
This study introduces the gradient boosted decision tree (GBDT) as a machine learning
approach to circumvent the need for a direct integration of the typically stiff system of …

Manifold-informed state vector subset for reduced-order modeling

K Zdybał, JC Sutherland, A Parente - Proceedings of the Combustion …, 2023 - Elsevier
Reduced-order models (ROMs) for turbulent combustion rely on identifying a small number
of parameters that can effectively describe the complexity of reacting flows. With the advent …

Combustion chemistry acceleration with DeepONets

A Kumar, T Echekki - Fuel, 2024 - Elsevier
A combustion chemistry acceleration scheme for implementation in reacting flow simulations
is developed based on deep operator nets (DeepONets). The scheme is based on a …

BLASTNet: A call for community-involved big data in combustion machine learning

WT Chung, KS Jung, JH Chen, M Ihme - Applications in Energy and …, 2022 - Elsevier
Many state-of-the-art machine learning (ML) fields rely on large datasets and massive deep
learning models (with O (10 9) trainable parameters) to predict target variables accurately …

A PINN-DeepONet framework for extracting turbulent combustion closure from multiscalar measurements

A Taassob, A Kumar, KM Gitushi, R Ranade… - Computer Methods in …, 2024 - Elsevier
In this study, we develop a novel framework to extract turbulent combustion closure,
including closure for species chemical source terms, from multiscalar and velocity …

Automated and efficient local adaptive regression for principal component-based reduced-order modeling of turbulent reacting flows

G D'Alessio, S Sundaresan, ME Mueller - Proceedings of the Combustion …, 2023 - Elsevier
Abstract Principal Component Analysis can be used to reduce the cost of Computational
Fluid Dynamics simulations of turbulent reacting flows by reducing the dimensionality of the …

3-D soot temperature and volume fraction reconstruction of afterburner flame via deep learning algorithms

M Dai, B Zhou, J Zhang, R Cheng, Q Liu, R Zhao… - Combustion and …, 2023 - Elsevier
D soot temperature and volume fraction reconstruction of afterburner flame has been based
on spectrally resolved measurement methods and inverse problem theory. So far, the …