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Machine learning is rapidly becoming a core technology for scientific computing, with numerous opportunities to advance the field of computational fluid dynamics. In this Perspective, we highlight some of the areas of highest potential…

Fluid Dynamics · Physics 2022-07-04 Ricardo Vinuesa , Steven L. Brunton

Machine learning is increasingly recognized as a promising technology in the biological, biomedical, and behavioral sciences. There can be no argument that this technique is incredibly successful in image recognition with immediate…

Machine learning is finding increasingly broad application in the physical sciences. This most often involves building a model relationship between a dependent, measurable output and an associated set of controllable, but complicated,…

Computational Physics · Physics 2018-08-29 Brian K. Spears

Deep learning methods have proven to outperform traditional computer vision methods in various areas of image processing. However, the application of deep learning in industrial surface defect detection systems is challenging due to the…

Computer Vision and Pattern Recognition · Computer Science 2021-09-24 Dominik Martin , Simon Heinzel , Johannes Kunze von Bischhoffshausen , Niklas Kühl

Advancements in deep learning are revolutionizing science and engineering. The immense success of deep learning is largely due to its ability to extract essential high-dimensional (HD) features from input data and make inference decisions…

Machine Learning · Computer Science 2025-01-30 Md Tauhidul Islam , Lei Xing

Physics-constrained data-driven computing is an emerging computational paradigm that allows simulation of complex materials directly based on material database and bypass the classical constitutive model construction. However, it remains…

Numerical Analysis · Mathematics 2022-09-12 Xiaolong He , Qizhi He , Jiun-Shyan Chen

Data-driven modeling in mechanics is evolving rapidly based on recent machine learning advances, especially on artificial neural networks. As the field matures, new data and models created by different groups become available, opening…

Numerical Analysis · Mathematics 2024-03-11 Aleksandr Dekhovich , O. Taylan Turan , Jiaxiang Yi , Miguel A. Bessa

This paper introduces for the first time the concepts of non-coherent interfaces and microstructure-driven interface forces in the framework of micromorphic elasticity. It is shown that such concepts are of paramount importance when…

Classical Physics · Physics 2024-01-30 L. A. Perez Ramirez , F. Erel-Demore , G. Rizzi , J. Voss , A. Madeo

For multilayer structures, interfacial failure is one of the most important elements related to device reliability. For cohesive zone modelling, traction-separation relations represent the adhesive interactions across interfaces. However,…

Computational Engineering, Finance, and Science · Computer Science 2023-01-02 Congjie Wei , Jiaxin Zhang , Kenneth M. Liechti , Chenglin Wu

Data-Driven Computational Mechanics is a novel computing paradigm that enables the transition from standard data-starved approaches to modern data-rich approaches. At this early stage of development, one can distinguish two mainstream…

Numerical Analysis · Mathematics 2019-10-29 Cristian Guillermo Gebhardt , Dominik Schillinger , Marc Christian Steinbach , Raimund Rolfes

This article covers thermodynamic, dynamic, and kinetic models that are suitable for the analysis of wetting, adsorption, and related interfacial phenomena in colloidal and multiphase systems. Particular emphasis is made on describing…

Soft Condensed Matter · Physics 2025-09-03 Carlos E. Colosqui

Physics-driven deep learning methods have emerged as a powerful tool for computational magnetic resonance imaging (MRI) problems, pushing reconstruction performance to new limits. This article provides an overview of the recent developments…

Image and Video Processing · Electrical Eng. & Systems 2022-10-17 Kerstin Hammernik , Thomas Küstner , Burhaneddin Yaman , Zhengnan Huang , Daniel Rueckert , Florian Knoll , Mehmet Akçakaya

Data-driven science is an emerging paradigm where scientific discoveries depend on the execution of computational AI models against rich, discipline-specific datasets. With modern machine learning frameworks, anyone can develop and execute…

Machine Learning · Computer Science 2022-08-09 Seth Ockerman , John Wu , Christopher Stewart

Multi-physics simulations play a crucial role in understanding complex systems. However, their computational demands are often prohibitive due to high dimensionality and complex interactions, such that actual calculations often rely on…

Computational Physics · Physics 2024-02-27 Stefan Meinecke , Malte Selig , Felix Köster , Andreas Knorr , Kathy Lüdge

The use of computer simulations to study the properties of aqueous systems is, today more than ever, an active area of research. In this context, during the last decade there has been a tremendous growth in the use of data-driven approaches…

With the increasing interplay between experimental and computational approaches at multiple length scales, new research directions are emerging in materials science and computational mechanics. Such cooperative interactions find many…

Materials Science · Physics 2016-01-12 Rémi Dingreville , Richard A. Karnesky , Guillaume Puel , Jean-Hubert Schmitt

Unstructured grid data are essential for modelling complex geometries and dynamics in computational physics. Yet, their inherent irregularity presents significant challenges for conventional machine learning (ML) techniques. This paper…

Point defects in solid-state materials are now routinely simulated using large supercell structures, requiring efficient quantum mechanical solutions. Data-driven and machine learning (ML) models trained on computational data can enable…

Materials Science · Physics 2026-05-26 Arun Mannodi-Kanakkithodi , Menglin Huang , Prashun Gorai , Seán R. Kavanagh

Scientific discovery evolves from the experimental, through the theoretical and computational, to the current data-intensive paradigm. Materials science is no exception, especially for computational materials science. In recent years, great…

Materials Science · Physics 2018-04-24 Tao Qiang , Honghong Gao

Dynamical systems see widespread use in natural sciences like physics, biology, chemistry, as well as engineering disciplines such as circuit analysis, computational fluid dynamics, and control. For simple systems, the differential…