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As a part of the integrated energy system (IES), gas pipeline networks can provide additional flexibility to power systems through coordinated optimal dispatch. An accurate pipeline network model is critical for the optimal operation and…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Siyuan Wang , Wenchuan Wu , Chenhui Lin , Qi Wang , Shuwei Xu , Binbin Chen

Physics--informed neural networks (PINN) have shown their potential in solving both direct and inverse problems of partial differential equations. In this paper, we introduce a PINN-based deep learning approach to reconstruct…

Computational Engineering, Finance, and Science · Computer Science 2024-04-24 Yuxuan Chen , Ce Wang , Yuan Hui , Mark Spivack

Rapid aerodynamic screening of turbomachinery blades across wide operating envelopes remains a major computational bottleneck in preliminary design, particularly for energy-conversion and storage systems such as emerging Carnot batteries.…

Fluid Dynamics · Physics 2026-05-25 Yuan Huang , Francesca di Mare

Physics-Informed Neural Networks (PINNs) have emerged as an influential technology, merging the swift and automated capabilities of machine learning with the precision and dependability of simulations grounded in theoretical physics. PINNs…

In this paper, the physics-informed neural networks (PINN) is applied to high-dimensional system to solve the (N+1)-dimensional initial boundary value problem with 2N+1 hyperplane boundaries. This method is used to solve the most classic…

Exactly Solvable and Integrable Systems · Physics 2022-01-26 Zhengwu Miao , Yong Chen

Physics-Informed Neural Networks (PINNs) have gained increasing attention for solving partial differential equations, including the Helmholtz equation, due to their flexibility and mesh-free formulation. However, their low-frequency bias…

Geophysics · Physics 2025-03-03 Mohammad Mahdi Abedi , David Pardo , Tariq Alkhalifah

Physics-informed neural networks (PINNs) are a simple surrogate-modelling paradigm for partial differential equations, but their standard strong-form residual formulation is ill suited to the shallow water equations (SWE). It cannot enforce…

Machine Learning · Computer Science 2026-05-13 Xiaofeng Liu

Physics-informed neural networks (PINNs) are successful machine-learning methods for the solution and identification of partial differential equations (PDEs). We employ PINNs for solving the Reynolds-averaged Navier$\unicode{x2013}$Stokes…

Fluid Dynamics · Physics 2022-07-20 Hamidreza Eivazi , Mojtaba Tahani , Philipp Schlatter , Ricardo Vinuesa

Coastal communities increasingly face compound floods, where multiple drivers like storm surge, high tide, heavy rainfall, and river discharge occur together or in sequence to produce impacts far greater than any single driver alone.…

Geophysics · Physics 2025-07-22 Soheil Radfar , Faezeh Maghsoodifar , Hamed Moftakhari , Hamid Moradkhani

Physics-Informed Neural Networks (PINNs) solve physical systems by incorporating governing partial differential equations directly into neural network training. In electromagnetism, where well-established methodologies such as FDTD and FEM…

Computational Physics · Physics 2026-02-13 Nilufer K. Bulut

Presently, there is a steady state approach in Computational fluid dynamics (CFD) to obtain a steady solution directly from the steady state governing equations. Whereas, for obtaining a time-periodic flow solution, the present unsteady…

Computational Physics · Physics 2026-05-19 Lakshya Chaplot , Harshita Agarwal , Atul Sharma

In this paper, a method based on the physics-informed neural networks (PINNs) is presented to model in-plane crack problems in the linear elastic fracture mechanics. Instead of forming a mesh, the PINNs is meshless and can be trained on…

Computational Engineering, Finance, and Science · Computer Science 2023-05-23 Yan Gu , Chuanzeng Zhang , Peijun Zhang , Mikhail V. Golub

Model-based seismic inversion is a key technique in reservoir characterization, but traditional methods face significant limitations, such as relying on 1D average stationary wavelets and assuming an unrealistic lateral resolution. To…

Geophysics · Physics 2025-07-22 Marcus Saraiva , Ana Muller , Alexandre Maul

We develop improved physics-informed neural networks (PINNs) for high-order and high-dimensional power system models described by nonlinear ordinary differential equations. We propose some novel enhancements to improve PINN training and…

Machine Learning · Computer Science 2024-10-11 Vineet Jagadeesan Nair

Severe accident analysis using system-level codes such as MELCOR is indispensable for nuclear safety assessment, yet the computational cost of repeated simulations poses a significant bottleneck for parametric studies and uncertainty…

Machine Learning · Computer Science 2026-04-06 Jeesuk Shin , Donggyun Seo , Sihyeong Yu , Joongoo Jeon

Physics-informed neural networks (PINNs) provide a powerful framework for learning governing equations of dynamical systems from data. Biologically-informed neural networks (BINNs) are a variant of PINNs that preserve the known differential…

Machine Learning · Computer Science 2026-04-21 William Lavery , Jodie A. Cochrane , Christian Olesen , Dagim S. Tadele , John T. Nardini , Sara Hamis

In this paper, physics-informed neural network (PINN) based on characteristic-based split (CBS) is proposed, which can be used to solve the time-dependent Navier-Stokes equations (N-S equations). In this method, The output parameters and…

Fluid Dynamics · Physics 2023-08-08 Shuang Hu , Meiqin Liu , Senlin Zhang , Shanling Dong , Ronghao Zheng

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

Coupling physics with machine learning models has shown great potential for solving fluid dynamics problems governed by partial differential equations. However, conventional methods, such as physics-informed neural networks, often suffer…

Fluid Dynamics · Physics 2026-03-10 Yuling Han , Zhihui Li , Zhibin Yu

Accurate reconstruction of localized extreme structures remains a critical bottleneck in the physics-informed modeling of electro-thermal-convective flows. Although conventional physics-informed neural networks effectively capture smooth…

Fluid Dynamics · Physics 2026-04-24 Baitong Zhou , Ze Tao , Ke Xu , Fujun Liu , Xuan Fang
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