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We introduce a Graph Transformer framework that serves as a general inverse physics engine on meshes, demonstrated through the challenging task of reconstructing aerodynamic flow fields from sparse surface measurements. While deep learning…

Machine Learning · Computer Science 2025-01-29 Gregory Duthé , Imad Abdallah , Eleni Chatzi

The paper presents a Graph Attention Convolutional Network (GACN) for flow reconstruction from very sparse data in time-varying geometries. The model incorporates a feature propagation algorithm as a preprocessing step to handle extremely…

Machine Learning · Computer Science 2024-11-14 Bogdan A. Danciu , Vito A. Pagone , Benjamin Böhm , Marius Schmidt , Christos E. Frouzakis

The utilization of Deep Neural Networks (DNNs) in physical science and engineering applications has gained traction due to their capacity to learn intricate functions. While large datasets are crucial for training DNN models in fields like…

Machine Learning · Computer Science 2025-08-05 Vamsi Sai Krishna Malineni , Suresh Rajendran

Graph neural networks, recently introduced into the field of fluid flow surrogate modeling, have been successfully applied to model the temporal evolution of various fluid flow systems. Existing applications, however, are mostly restricted…

Fluid Dynamics · Physics 2026-01-14 Rui Gao , Zhi Cheng , Rajeev K. Jaiman

The reconstruction of unsteady flow fields from limited measurements is a challenging and crucial task for many engineering applications. Machine learning models are gaining popularity for solving this problem due to their ability to learn…

Fluid Dynamics · Physics 2026-01-09 Marc Amorós-Trepat , Luis Medrano-Navarro , Qiang Liu , Luca Guastoni , Nils Thuerey

The simulation of microcirculatory blood flow in realistic vascular architectures poses significant challenges due to the multiscale nature of the problem and the topological complexity of capillary networks. In this work, we propose a…

Numerical Analysis · Mathematics 2025-12-12 Paolo Botta , Piermario Vitullo , Thomas Ventimiglia , Andreas Linninger , Paolo Zunino

The usage of neural networks (NNs) for flow reconstruction (FR) tasks from a limited number of sensors is attracting strong research interest, owing to NNs' ability to replicate high dimensional relationships. Trained on a single flow case…

Fluid Dynamics · Physics 2024-06-19 Ali Girayhan Özbay , Sylvain Laizet

In many applications, it is important to reconstruct a fluid flow field, or some other high-dimensional state, from limited measurements and limited data. In this work, we propose a shallow neural network-based learning methodology for such…

State-of-the-art deep learning models have been extensively utilized to reconstruct small-scale structures from coarse-grained data in turbulent flows. However, their application has predominantly been restricted to structured uniform…

Fluid Dynamics · Physics 2026-03-03 Priyabrat Dash , Konduri Aditya , Christos E. Frouzakis , Mathis Bode

A graph neural network (GNN) approach is introduced in this work which enables mesh-based three-dimensional super-resolution of fluid flows. In this framework, the GNN is designed to operate not on the full mesh-based field at once, but on…

Pattern recognition problems in high energy physics are notably different from traditional machine learning applications in computer vision. Reconstruction algorithms identify and measure the kinematic properties of particles produced in…

The study of partial differential equations (PDE) through the framework of deep learning emerged a few years ago leading to the impressive approximations of simple dynamics. Graph neural networks (GNN) turned out to be very useful in those…

Machine Learning · Computer Science 2023-05-10 Florent Bonnet

Reconstruction of unsteady vortical flow fields from limited sensor measurements is challenging. We develop machine learning methods to reconstruct flow features from sparse sensor measurements during transient vortex-airfoil wake…

Fluid Dynamics · Physics 2023-06-21 Yonghong Zhong , Kai Fukami , Byungjin An , Kunihiko Taira

Reconstructing flow fields from sparse measurements is a fundamental problem in fluid mechanics with broad implications for modeling, control, and design. In this work, we propose a novel operator learning framework that leverages the…

Computational Engineering, Finance, and Science · Computer Science 2026-05-25 Qian Zhang , George Em Karniadakis

Inverse problems in granular flows, such as landslides and debris flows, involve estimating material parameters or boundary conditions based on target runout profile. Traditional high-fidelity simulators for these inverse problems are…

Geophysics · Physics 2024-04-29 Yongjin Choi , Krishna Kumar

This paper presents a methodology to learn surrogate models of steady state fluid dynamics simulations on meshed domains, based on Implicit Neural Representations (INRs). The proposed models can be applied directly to unstructured domains…

Computational Engineering, Finance, and Science · Computer Science 2024-10-29 Giovanni Catalani , Siddhant Agarwal , Xavier Bertrand , Frederic Tost , Michael Bauerheim , Joseph Morlier

Computational modeling of aerodynamics is a key problem in aerospace engineering, often involving flows interacting with solid objects such as airfoils. Deep surrogate models have emerged as purely data-driven approaches that learn direct…

Machine Learning · Computer Science 2024-12-16 Jacob Helwig , Xuan Zhang , Haiyang Yu , Shuiwang Ji

Graph Neural Networks (GNNs) have recently been explored as surrogate models for numerical simulations. While their applications in computational fluid dynamics have been investigated, little attention has been given to structural problems,…

Machine Learning · Computer Science 2025-10-30 Alessandro Lucchetti , Francesco Cadini , Marco Giglio , Luca Lomazzi

Many applications in computational and experimental fluid mechanics require effective methods for reconstructing the flow fields from limited sensor data. However, this task remains a significant challenge because the measurement operator,…

Fluid Dynamics · Physics 2024-11-22 Phong C. H. Nguyen , Joseph B. Choi , Quang-Trung Luu

Urban wind flow modeling and simulation play an important role in air quality assessment and sustainable city planning. A key challenge for modeling and simulation is handling the complex geometries of the urban landscape. Low order models…

Machine Learning · Computer Science 2025-12-18 Francisco Giral , Álvaro Manzano , Ignacio Gómez , Petros Koumoutsakos , Soledad Le Clainche
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