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We propose a self-supervised physics-informed neural network (PINN) framework that adaptively balances physics-based and data-driven supervision for scientific machine learning under data scarcity. Unlike prior PINNs that rely on fixed or…

Machine Learning · Computer Science 2026-05-08 Reza Pirayeshshirazinezhad

Physics-informed neural networks (PINNs) employed in fluid mechanics deal primarily with stationary boundaries. This hinders the capability to address a wide range of flow problems involving moving bodies. To this end, we propose a novel…

Fluid Dynamics · Physics 2025-08-05 Yongzheng Zhu , Weizhen Kong , Jian Deng , Xin Bian

We report a new approach to flow field tomography that uses the Navier-Stokes and advection-diffusion equations to regularize reconstructions. Tomography is increasingly employed to infer 2D or 3D fluid flow and combustion structures from a…

Fluid Dynamics · Physics 2026-03-31 Joseph P. Molnar , Samuel J. Grauer

Design exploration or optimization using computational fluid dynamics (CFD) is commonly used in the industry. Geometric variation is a key component of such design problems, especially in turbulent flow scenarios, which involves running…

Machine Learning · Computer Science 2024-12-04 Shinjan Ghosh , Julian Busch , Georgia Olympia Brikis , Biswadip Dey

Deep learning method has attracted tremendous attention to handle fluid dynamics in recent years. However, the deep learning method requires much data to guarantee the generalization ability and the data of fluid dynamics are deficient.…

Fluid Dynamics · Physics 2021-11-18 Guang-Tao Zhang , Chen Cheng , Shu-dong Liu , Yang Chen , Yong-Zheng Li

One of the biggest challenges in the optimization of micro-scale fluid transport phenomena is the prediction of unsteady fluid flow in the presence of rough channel walls. Even though the accuracy of available computational fluid dynamics…

Computational Engineering, Finance, and Science · Computer Science 2026-04-07 Ganesh Sahadeo Meshram , Partha Pratim Chakrabarti , Suman Chakraborty

Recently, physics informed neural networks (PINNs) have been explored extensively for solving various forward and inverse problems and facilitating querying applications in fluid mechanics applications. However, work on PINNs for unsteady…

Fluid Dynamics · Physics 2024-02-28 Rahul Sundar , Dipanjan Majumdar , Didier Lucor , Sunetra Sarkar

In this paper, a meshfree method using physics-informed neural networks (PINNs) is developed for solving two-phase flow problems with moving interfaces, where two immiscible fluids bearing different material properties, are separated by a…

Numerical Analysis · Mathematics 2026-04-02 Qijia Zhai , Pengtao Sun , Xiaoping Xie , Xingwen Zhu , Chen-Song Zhang

Physics-Informed machine learning models have recently emerged with some interesting and unique features that can be applied to reservoir engineering. In particular, physics-informed neural networks (PINN) leverage the fact that neural…

Fluid Dynamics · Physics 2023-12-01 Daniel Badawi , Eduardo Gildin

A surrogate model is developed to predict the convective heat transfer coefficient of liquid sodium (Na) flow within rectangular miniature heat sinks. Initially, kernel-based machine learning techniques and shallow neural network are…

Machine Learning · Computer Science 2025-09-09 Reza Pirayeshshirazinezhad

Physics-informed neural networks (PINNs) have emerged as a major research focus. However, today's PINNs encounter several limitations. Firstly, during the construction of the loss function using automatic differentiation, PINNs often…

Computational Engineering, Finance, and Science · Computer Science 2026-03-26 Chang Wei , Yuchen Fan , Jian Cheng Wong , Chin Chun Ooi , Heyang Wang , Pao-Hsiung Chiu

Physics-informed neural networks (PINNs) can be used to solve partial differential equations (PDEs) and identify hidden variables by incorporating the governing equations into neural network training. In this study, we apply PINNs to the…

Accurately and stably solving the incompressible Navier--Stokes equations with physics-informed neural networks (PINNs) remains challenging, particularly for sparse or noisy observations and for flow regimes in which the local balance among…

Fluid Dynamics · Physics 2026-03-31 Ke Xu , Ze Tao , Fujun Liu

This study introduces a computational approach leveraging Physics-Informed Neural Networks (PINNs) for the efficient computation of arterial blood flows, particularly focusing on solving the incompressible Navier-Stokes equations by using…

Numerical Analysis · Mathematics 2024-04-29 Shivam Bhargava , Nagaiah Chamakuri

Recent works have explored the potential of machine learning as data-driven turbulence closures for RANS and LES techniques. Beyond these advances, the high expressivity and agility of physics-informed neural networks (PINNs) make them…

Machine Learning · Computer Science 2021-03-08 Didier Lucor , Atul Agrawal , Anne Sergent

This paper presents a fully data-free Physics-Informed Neural Network (PINN) capable of solving compressible inviscid flows (ranging from supersonic to hypersonic, up to Ma=15, where Ma is the Mach number) around a circular cylinder. To…

Fluid Dynamics · Physics 2026-03-03 Ryosuke Yano

Simultaneously detecting hidden solid boundaries and reconstructing flow fields from sparse observations poses a significant inverse challenge in fluid mechanics. This study presents a physics-informed neural network (PINN) framework…

Fluid Dynamics · Physics 2025-04-01 Yongzheng Zhu , Weizheng Chen , Jian Deng , Xin Bian

Near-wall blood flow and wall shear stress (WSS) regulate major forms of cardiovascular disease, yet they are challenging to quantify with high fidelity. Patient-specific computational and experimental measurement of WSS suffers from…

Fluid Dynamics · Physics 2021-07-28 Amirhossein Arzani , Jian-Xun Wang , Roshan M. D'Souza

Physics-informed neural networks (PINNs) have shown to be an effective tool for solving forward and inverse problems of partial differential equations (PDEs). PINNs embed the PDEs into the loss of the neural network, and this PDE loss is…

Computational Physics · Physics 2023-07-19 Chenxi Wu , Min Zhu , Qinyang Tan , Yadhu Kartha , Lu Lu

In this paper, Physics Informed Neural Network (PINN) is explored in order to obtain flow predictions near the wall region accurately with measurements (or sampling points) away from the wall. Often, in fluid mechanics experiments, it is…

Fluid Dynamics · Physics 2022-04-08 Vinothkumar Sekar , Qinghua Jiang , Chang Shu , Boo Cheong Khoo