Current and emerging deep-learning methods for the simulation of fluid dynamics

M Lino, S Fotiadis, AA Bharath… - Proceedings of the …, 2023 - royalsocietypublishing.org
Over the last decade, deep learning (DL), a branch of machine learning, has experienced
rapid progress. Powerful tools for tasks that have been traditionally complex to automate …

[HTML][HTML] Machine learning in additive manufacturing & Microfluidics for smarter and safer drug delivery systems

A Dedeloudi, E Weaver, DA Lamprou - International Journal of …, 2023 - Elsevier
A new technological passage has emerged in the pharmaceutical field, concerning the
management, application, and transfer of knowledge from humans to machines, as well as …

Convolutional neural network based hierarchical autoencoder for nonlinear mode decomposition of fluid field data

K Fukami, T Nakamura, K Fukagata - Physics of Fluids, 2020 - pubs.aip.org
We propose a customized convolutional neural network based autoencoder called a
hierarchical autoencoder, which allows us to extract nonlinear autoencoder modes of flow …

Transformers for modeling physical systems

N Geneva, N Zabaras - Neural Networks, 2022 - Elsevier
Transformers are widely used in natural language processing due to their ability to model
longer-term dependencies in text. Although these models achieve state-of-the-art …

Data-driven discovery of intrinsic dynamics

D Floryan, MD Graham - Nature Machine Intelligence, 2022 - nature.com
Dynamical models underpin our ability to understand and predict the behaviour of natural
systems. Whether dynamical models are developed from first-principles derivations or from …

Predicting physics in mesh-reduced space with temporal attention

X Han, H Gao, T Pfaff, JX Wang, LP Liu - arxiv preprint arxiv:2201.09113, 2022 - arxiv.org
Graph-based next-step prediction models have recently been very successful in modeling
complex high-dimensional physical systems on irregular meshes. However, due to their …

NOMAD: Nonlinear manifold decoders for operator learning

J Seidman, G Kissas, P Perdikaris… - Advances in Neural …, 2022 - proceedings.neurips.cc
Supervised learning in function spaces is an emerging area of machine learning research
with applications to the prediction of complex physical systems such as fluid flows, solid …

β-Variational autoencoders and transformers for reduced-order modelling of fluid flows

A Solera-Rico, C Sanmiguel Vila… - Nature …, 2024 - nature.com
Variational autoencoder architectures have the potential to develop reduced-order models
for chaotic fluid flows. We propose a method for learning compact and near-orthogonal …

Physics-informed neural networks for phase-field method in two-phase flow

R Qiu, R Huang, Y **ao, J Wang, Z Zhang, J Yue… - Physics of …, 2022 - pubs.aip.org
The complex flow modeling based on machine learning is becoming a promising way to
describe multiphase fluid systems. This work demonstrates how a physics-informed neural …

Multi-resolution partial differential equations preserved learning framework for spatiotemporal dynamics

XY Liu, M Zhu, L Lu, H Sun, JX Wang - Communications Physics, 2024 - nature.com
Traditional data-driven deep learning models often struggle with high training costs, error
accumulation, and poor generalizability in complex physical processes. Physics-informed …