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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…

流体动力学 · 物理学 2026-03-31 Ke Xu , Ze Tao , Fujun Liu

This paper develops and benchmarks an immersed peridynamics method to simulate the deformation, damage, and failure of hyperelastic materials within a fluid-structure interaction framework. The immersed peridynamics method describes an…

数值分析 · 数学 2023-10-19 Keon Ho Kim , Amneet P. S. Bhalla , Boyce E. Griffith

Fluid flows are governed by the nonlinear Navier-Stokes equations, which can manifest multiscale dynamics even from predictable initial conditions. Predicting such phenomena remains a formidable challenge in scientific machine learning,…

流体动力学 · 物理学 2026-04-08 Prashant Kumar , Rajesh Ranjan

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…

数值分析 · 数学 2026-04-02 Qijia Zhai , Pengtao Sun , Xiaoping Xie , Xingwen Zhu , Chen-Song Zhang

Electrical submersible pumps (ESPs) are prevalently utilized as artificial lift systems in the oil and gas industry. These pumps frequently encounter multiphase flows comprising a complex mixture of hydrocarbons, water, and sediments. Such…

Large-scale river models are being refined over coastal regions to improve the scientific understanding of coastal processes, hazards and responses to climate change. However, coarse mesh resolutions and approximations in physical…

流体动力学 · 物理学 2023-03-15 Dongyu Feng , Zeli Tan , QiZhi He

This study presents a novel physics-informed neural network (PINN) framework for modeling poroelasticity in heterogeneous media with material interfaces. The approach introduces a composite neural network (CoNN) where separate neural…

系统与控制 · 电气工程与系统科学 2024-12-31 Sumanta Roy , Chandrasekhar Annavarapu , Pratanu Roy , Dakshina Murthy Valiveti

In this study, we utilize the emerging Physics Informed Neural Networks (PINNs) approach for the first time to predict the flow field of a compressor cascade. Different from conventional training methods, a new adaptive learning strategy…

机器学习 · 计算机科学 2024-05-08 Zhihui Li , Francesco Montomoli , Sanjiv Sharma

Physics-informed neural networks (PINNs) offer a unified framework for solving both forward and inverse problems of differential equations, yet their performance and physical consistency strongly depend on how governing laws are…

机器学习 · 计算机科学 2026-03-31 Guojie Li , Liu Hong

Soft- and hard-constrained Physics Informed Neural Networks (PINNs) have achieved great success in solving partial differential equations (PDEs). However, these methods still face great challenges when solving the Navier-Stokes equations…

流体动力学 · 物理学 2024-11-14 Chuyu Zhou , Tianyu Li , Chenxi Lan , Rongyu Du , Guoguo Xin , Pengyu Nan , Hangzhou Yang , Guoqing Wang , Xun Liu , Wei Li

Physics-informed neural networks (PINNs) have emerged as a flexible framework for solving partial differential equations, but their performance on interface problems remains challenging because continuity and flux conditions are typically…

In recent years, Scientific Machine Learning (SciML) methods for solving partial differential equations (PDEs) have gained increasing popularity. Within such a paradigm, Physics-Informed Neural Networks (PINNs) are novel deep learning…

数值分析 · 数学 2024-04-25 Pasquale Ambrosio , Salvatore Cuomo , Mariapia De Rosa

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.…

流体动力学 · 物理学 2021-11-18 Guang-Tao Zhang , Chen Cheng , Shu-dong Liu , Yang Chen , Yong-Zheng Li

Our paper proposes an innovative approach for modeling Fluid-Structure Interaction (FSI). Our method combines both traditional monolithic and partitioned approaches, creating a hybrid solution that facilitates FSI. At each time iteration,…

数值分析 · 数学 2024-01-15 R. Nemer , A. Larcher , E. Hachem

High-resolution reconstruction of flow-field data from low-resolution and noisy measurements is of interest due to the prevalence of such problems in experimental fluid mechanics, where the measurement data are in general sparse, incomplete…

流体动力学 · 物理学 2024-02-23 Hamidreza Eivazi , Yuning Wang , Ricardo Vinuesa

A novel numerical formulation for solving fluid-structure interaction (FSI) problems is proposed where the fluid field is spatially discretized using smoothed particle hydrodynamics (SPH) and the structural field using the finite element…

计算工程、金融与科学 · 计算机科学 2021-06-16 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

We introduce Structure Informed Neural Networks (SINNs), a novel method for solving boundary observation problems involving PDEs. The SINN methodology is a data-driven framework for creating approximate solutions to internal variables on…

流体动力学 · 物理学 2023-10-31 Jakub Horsky , Andrew Wynn

A physics-informed neural network (PINN), which has been recently proposed by Raissi et al [J. Comp. Phys. 378, pp. 686-707 (2019)], is applied to the partial differential equation (PDE) of liquid film flows. The PDE considered is the time…

Physics-informed neural networks (PINNs) have been proposed to learn the solution of partial differential equations (PDE). In PINNs, the residual form of the PDE of interest and its boundary conditions are lumped into a composite objective…

计算物理 · 物理学 2022-05-24 Shamsulhaq Basir , Inanc Senocak

We develop a three-dimensional Eulerian framework to simulate fluid-structure interaction (FSI) problems on a fixed Cartesian grid using the geometric volume-of-fluid (VOF) method. The coupled problem involves incompressible flow and…

流体动力学 · 物理学 2025-05-30 Soham Prajapati , Ali Fakhreddine , Krishnan Mahesh