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In this paper, we investigate neural networks applied to multiscale simulations and discuss a design of a novel deep neural network model reduction approach for multiscale problems. Due to the multiscale nature of the medium, the fine-grid…

Numerical Analysis · Mathematics 2024-12-20 Min Wang , Siu Wun Cheung , Wing Tat Leung , Eric T. Chung , Yalchin Efendiev , Mary Wheeler

We outline the development of a data science module within OpenFOAM which allows for the in-situ deployment of trained deep learning architectures for general-purpose predictive tasks. This module is constructed with the TensorFlow C API…

Computational Physics · Physics 2020-12-03 Romit Maulik , Himanshu Sharma , Saumil Patel , Bethany Lusch , Elise Jennings

In this work, we introduce DeepFlame, an open-source C++ platform with the capabilities of utilising machine learning algorithms and pre-trained models to solve for reactive flows. We combine the individual strengths of the computational…

Fluid Dynamics · Physics 2023-07-17 Runze Mao , Minqi Lin , Yan Zhang , Tianhan Zhang , Zhi-Qin John Xu , Zhi X. Chen

Solving large complex partial differential equations (PDEs), such as those that arise in computational fluid dynamics (CFD), is a computationally expensive process. This has motivated the use of deep learning approaches to approximate the…

Machine Learning · Computer Science 2020-08-18 Filipe de Avila Belbute-Peres , Thomas D. Economon , J. Zico Kolter

This paper describes a study based on computational fluid dynamics (CFD) and deep neural networks that focusing on predicting the flow field in differently distorted U-shaped pipes. The main motivation of this work was to get an insight…

Machine Learning · Computer Science 2020-10-02 Gergely Hajgató , Bálint Gyires-Tóth , György Paál

Small-scale features of shallow water flow obtained from direct numerical simulation (DNS) with two different computational codes for the shallow water equations are gathered offline and subsequently employed with the aim of constructing a…

Fluid Dynamics · Physics 2022-02-24 Sagy Ephrati , Erwin Luesink , Golo Wimmer , Paolo Cifani , Bernard Geurts

Advances in deep learning have enabled physics-informed neural networks to solve partial differential equations. Numerical differentiation using the finite-difference (FD) method is efficient in physics-constrained designs, even in…

Machine Learning · Computer Science 2024-12-02 Yiye Zou , Tianyu Li , Lin Lu , Jingyu Wang , Shufan Zou , Laiping Zhang , Xiaogang Deng

Deep Learning methods have seen a wide range of successful applications across different industries. Up until now, applications to physical simulations such as CFD (Computational Fluid Dynamics), have been limited to simple test-cases of…

Machine Learning · Computer Science 2024-05-20 Giuseppe Bruni , Sepehr Maleki , Senthil K. Krishnababu

Computational Fluid Dynamics (CFD) is the main approach to analyzing flow field. However, the convergence and accuracy depend largely on mathematical models of flow, numerical methods, and time consumption. Deep learning-based analysis of…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Chang Liu

Computational Fluid Dynamics (CFD) is an important approach for analyzing flow phenomena and predicting engineering-relevant quantities. The governing physics is formulated as partial differential equations(PDEs) and solved numerically on…

Fluid Dynamics · Physics 2026-05-14 Yali Luo , Yiye Zou , Heng Zhang , Mingjie Zhang , Gang Wei , Jingyu Wang , Xiaogang Deng

Physics-based simulation for fluid flow in porous media is a computational technology to predict the temporal-spatial evolution of state variables (e.g. pressure) in porous media, and usually requires high computational expense due to its…

Fluid Dynamics · Physics 2021-05-11 Bicheng Yan , Dylan Robert Harp , Bailian Chen , Rajesh J. Pawar

Edge computing is a promising solution for handling high-dimensional, multispectral analog data from sensors and IoT devices for applications such as autonomous drones. However, edge devices' limited storage and computing resources make it…

Machine Learning · Computer Science 2023-09-21 Nastaran Darabi , Amit R. Trivedi

In this paper, we investigate and design multiscale simulations for stochastic multiscale PDEs. As for the space, we consider a coarse grid and a known multiscale method, the Generalized Multiscale Finite Element Method (GMsFEM). In order…

Numerical Analysis · Mathematics 2020-04-10 Zecheng Zhang , Eric Chung , Yalchin Efendiev , Wing Tat Leung

Nowadays, Computational Fluid Dynamics (CFD) is a fundamental tool for industrial design. However, the computational cost of doing such simulations is expensive and can be detrimental for real-world use cases where many simulations are…

Fluid Dynamics · Physics 2022-12-02 Eduardo Vital Brasil

Thanks to the computational power of modern cluster machines, numerical simulations can provide, with an unprecedented level of details, new insights into fluid mechanics. However, taking full advantage of this hardware remains challenging…

Fluid Dynamics · Physics 2022-09-14 F. Brogi , S. Bnà , G. Boga , G. Amati , T. Esposti Ongaro , M. Cerminara

We present efficient deep learning techniques for approximating flow and transport equations for both single phase and two-phase flow problems. The proposed methods take advantages of the sparsity structures in the underlying discrete…

Numerical Analysis · Mathematics 2020-01-08 Yating Wang , Guang Lin

Fibre orientation distribution (FOD) reconstruction using deep learning has the potential to produce accurate FODs from a reduced number of diffusion-weighted images (DWIs), decreasing total imaging time. Diffusion acquisition invariant…

Computer Vision and Pattern Recognition · Computer Science 2025-04-17 J Bartlett , C E Davey , L A Johnston , J Duan

Computational fluid dynamics (CFD) simulations are crucial in automotive, aerospace, maritime and medical applications, but are limited by the complexity, cost and computational requirements of directly calculating the flow, often taking…

Machine Learning · Computer Science 2024-11-27 Zachary Cooper-Baldock , Paulo E. Santos , Russell S. A. Brinkworth , Karl Sammut

Computational Fluid Dynamics (CFD) is a major sub-field of engineering. Corresponding flow simulations are typically characterized by heavy computational resource requirements. Often, very fine and complex meshes are required to resolve…

Machine Learning · Computer Science 2021-02-26 Keefe Huang , Moritz Krügener , Alistair Brown , Friedrich Menhorn , Hans-Joachim Bungartz , Dirk Hartmann

In recent years, applying deep learning to solve physics problems has attracted much attention. Data-driven deep learning methods produce fast numerical operators that can learn approximate solutions to the whole system of partial…

Machine Learning · Computer Science 2024-02-26 Yining Luo , Yingfa Chen , Zhen Zhang