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We perform high-fidelity, two-dimensional (2D), fluid-structure interaction (FSI) simulations at a Reynolds number of $Re=200$ of uniform flow past an inverted flag (i.e., clamped at its trailing edge). The inverted flag system can exhibit…

Fluid Dynamics · Physics 2021-05-04 Andres Goza

Graph Representation Learning (GRL) can be fundamentally modeled as a physical process of seeking an energy equilibrium state for a node system on a latent manifold. However, existing Graph Neural Networks (GNNs) often suffer from…

Machine Learning · Computer Science 2026-04-08 Rui Chen , Junjun Guo , Hongbin Wang , Yan Xiang , Yantuan Xian , Zhengtao Yu

This paper presents a novel generative model to synthesize fluid simulations from a set of reduced parameters. A convolutional neural network is trained on a collection of discrete, parameterizable fluid simulation velocity fields. Due to…

Machine Learning · Computer Science 2019-09-05 Byungsoo Kim , Vinicius C. Azevedo , Nils Thuerey , Theodore Kim , Markus Gross , Barbara Solenthaler

Hypergraphs, with their capacity to depict high-order relationships, have emerged as a significant extension of traditional graphs. Although Graph Neural Networks (GNNs) have remarkable performance in graph representation learning, their…

Machine Learning · Computer Science 2024-11-07 Khaled Mohammed Saifuddin , Mehmet Emin Aktas , Esra Akbas

Graph Neural Networks (GNNs) have gained growing interest in miscellaneous applications owing to their outstanding ability in extracting latent representation on graph structures. To render GNN-based service for IoT-driven smart…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-06 Liekang Zeng , Xu Chen , Peng Huang , Ke Luo , Xiaoxi Zhang , Zhi Zhou

A deep-learning-based surrogate model is developed and applied for predicting dynamic subsurface flow in channelized geological models. The surrogate model is based on deep convolutional and recurrent neural network architectures,…

Machine Learning · Computer Science 2020-05-20 Meng Tang , Yimin Liu , Louis J. Durlofsky

Recently, machine learning (ML) has been used to address the computational cost that has been limiting ab initio molecular dynamics (AIMD). Here, we present GNNFF, a graph neural network framework to directly predict atomic forces from…

Aerodynamic optimization is crucial for developing eco-friendly, aerodynamic, and stylish cars, which requires close collaboration between aerodynamicists and stylists, a collaboration impaired by the time-consuming nature of aerodynamic…

Machine Learning · Computer Science 2025-08-05 Sam Jacob Jacob , Markus Mrosek , Carsten Othmer , Harald Köstler

Iterative solvers are widely used to accurately simulate physical systems. These solvers require initial guesses to generate a sequence of improving approximate solutions. In this contribution, we introduce a novel method to accelerate…

An elastic foil interacting with a uniform flow with its trailing edge clamped, also known as the inverted foil, exhibits a wide range of complex self-induced flapping regimes such as large amplitude flapping (LAF), deformed and flipped…

Fluid Dynamics · Physics 2019-07-03 P. S. Gurugubelli , R. K. Jaiman

This paper presents a novel approach for constructing graph neural networks equivariant to 2D rotations and translations and leveraging them as PDE surrogates on non-gridded domains. We show that aligning the representations with the…

Machine Learning · Computer Science 2024-05-31 Maria Bånkestad , Olof Mogren , Aleksis Pirinen

In marine offshore engineering, cost-efficient simulation of unsteady water waves and their nonlinear interaction with bodies are important to address a broad range of engineering applications at increasing fidelity and scale. We consider a…

Numerical Analysis · Mathematics 2020-09-03 Allan P. Engsig-Karup , Wojciech Laskowski

Recent works have shown that physics-inspired architectures allow the training of deep graph neural networks (GNNs) without oversmoothing. The role of these physics is unclear, however, with successful examples of both reversible (e.g.,…

Machine Learning · Computer Science 2023-12-22 Anthony Gruber , Kookjin Lee , Nathaniel Trask

We present a finite element framework for the numerical prediction of cavitating turbulent flows interacting with flexible structures. The vapor-fluid phases are captured through a homogeneous mixture model, with a scalar transport equation…

Fluid Dynamics · Physics 2024-01-01 Nihar B. Darbhamulla , Rajeev K. Jaiman

Reinforcement learning has gained traction for active flow control tasks, with initial applications exploring drag mitigation via flow field augmentation around a two-dimensional cylinder. RL has since been extended to more complex…

Machine Learning · Computer Science 2025-04-01 Marius Kurz , Rohan Kaushik , Marcel Blind , Patrick Kopper , Anna Schwarz , Felix Rodach , Andrea Beck

Compressible flow problems are characterized by highly nonlinear, implicit, and often transcendental governing equations. In undergraduate gas dynamics education, solving these equations traditionally relies on iterative numerical methods…

Fluid Dynamics · Physics 2025-12-19 Ehsan Roohi

Recent advances in autoregressive neural surrogate models have enabled orders-of-magnitude speedups in simulating dynamical systems. However, autoregressive models are generally prone to distribution drift: compounding errors in…

Machine Learning · Computer Science 2026-03-19 Qi Liu , Laure Zanna , Joan Bruna

Data-driven modeling of collective dynamics is a challenging problem because emergent phenomena in multi-agent systems are often shaped by long-range interactions among individuals. For example, in bird flocks and fish schools, long-range…

Fluid Dynamics · Physics 2025-01-03 Alec J. Linot , Haotian Hang , Eva Kanso , Kunihiko Taira

Graph Neural Networks (GNNs) have emerged as one of the leading approaches for machine learning on graph-structured data. Despite their great success, critical computational challenges such as over-smoothing, over-squashing, and limited…

Machine Learning · Computer Science 2023-09-14 Zhiqi Shao , Dai Shi , Andi Han , Yi Guo , Qibin Zhao , Junbin Gao

Multi-frequency Electrical Impedance Tomography (mfEIT) represents a promising biomedical imaging modality that enables the estimation of tissue conductivities across a range of frequencies. Addressing this challenge, we present a novel…

Numerical Analysis · Mathematics 2025-07-23 Giovanni S. Alberti , Damiana Lazzaro , Serena Morigi , Luca Ratti , Matteo Santacesaria