A comprehensive review of advances in physics-informed neural networks and their applications in complex fluid dynamics

C Zhao, F Zhang, W Lou, X Wang, J Yang - Physics of Fluids, 2024 - pubs.aip.org
Physics-informed neural networks (PINNs) represent an emerging computational paradigm
that incorporates observed data patterns and the fundamental physical laws of a given …

Least-square finite difference-based physics-informed neural network for steady incompressible flows

Y Xiao, LM Yang, C Shu, H Dong, YJ Du… - Computers & Mathematics …, 2024 - Elsevier
In this work, a least-square finite difference-based physics-informed neural network (LSFD-
PINN) is proposed to simulate steady incompressible flows. The original PINN employs the …

A resolved SPH-DEM coupling method for analysing the interaction of polyhedral granular materials with fluid

JZ Sun, L Zou, N Govender, I Martínez-Estévez… - Ocean …, 2023 - Elsevier
Hybrid fluid–particle systems are prevalent in nature and engineering practices, but
accurately simulating the dynamic behaviour is challenging due to their inherent strong non …

An efficient framework for solving forward and inverse problems of nonlinear partial differential equations via enhanced physics-informed neural network based on …

Y Guo, X Cao, J Song, H Leng, K Peng - Physics of Fluids, 2023 - pubs.aip.org
In recent years, the advancement of deep learning has led to the utilization of related
technologies to enhance the efficiency and accuracy of scientific computing. Physics …

Experimental and modeling analysis of the transient spray characteristics of cyclopentane at sub-and transcritical conditions using a machine learning approach

T Jeyaseelan, M Son, T Sander, L Zigan - Physics of Fluids, 2023 - pubs.aip.org
Although fuel spray parameters, such as spray cone angle and penetration length, are
crucial for developing high-efficiency and high-performance combustion engines, general …

[HTML][HTML] Numerical framework for coupling SPH with image-based DEM for irregular particles

MA Hosseini, P Tahmasebi - Computers and Geotechnics, 2024 - Elsevier
Understanding fluid-particle interactions is crucial due to their occurrence in both natural
phenomena and engineering applications, but accurately capturing these interactions …

Immersed boundary method-incorporated physics-informed neural network for simulation of incompressible flows around immersed objects

Y Xiao, LM Yang, C Shu, X Shen, YJ Du, YX Song - Ocean Engineering, 2025 - Elsevier
In this work, an immersed boundary method-incorporated physics informed neural network
(IBM-PINN) is proposed to simulate steady incompressible flows around immersed objects …

Physics-informed quantum neural network for solving forward and inverse problems of partial differential equations

Y Xiao, LM Yang, C Shu, SC Chew, BC Khoo… - Physics of …, 2024 - pubs.aip.org
Recently, physics-informed neural networks (PINNs) have aroused an upsurge in the field of
scientific computing including solving partial differential equations (PDEs), which convert the …

Physics-informed radial basis function neural network for efficiently modeling oil–water two-phase Darcy flow

S Lv, D Li, W Zha, Y Xing - Physics of Fluids, 2025 - pubs.aip.org
Physics-informed neural networks (PINNs) improve the accuracy and generalization ability
of prediction by introducing physical constraints in the training process. As a model …

Chebyshev spectral approximation-based physics-informed neural network for solving higher-order nonlinear differential equations

Y Huang, H Liu, Y Zhao, M Fei - Engineering with Computers, 2024 - Springer
Physics-informed neural networks (PINNs) typically involve higher-order partial derivatives
with respect to their inputs, which are too costly to compute and store by using automatic …