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We present a method for parametrizing sub-grid processes in the Shallow Water equations. We define coarse variables and local spatial averages and use a feed-forward neural network to learn sub-grid fluxes. Our method results in a local…

Fluid Dynamics · Physics 2026-05-06 Md Amran Hossan Mojamder , Zhihang Xu , Min Wang , Ilya Timofeyev

This work presents a review of the current state of research in data-driven turbulence closure modeling. It offers a perspective on the challenges and open issues, but also on the advantages and promises of machine learning methods applied…

Computational Engineering, Finance, and Science · Computer Science 2022-12-21 Andrea Beck , Marius Kurz

We survey a number of data visualization techniques for analyzing Computer Vision (CV) datasets. These techniques help us understand properties and latent patterns in such data, by applying dataset-level analysis. We present various…

Computer Vision and Pattern Recognition · Computer Science 2022-04-20 Bilal Alsallakh , Pamela Bhattacharya , Vanessa Feng , Narine Kokhlikyan , Orion Reblitz-Richardson , Rahul Rajan , David Yan

A penalization method for a suitable reformulation of the governing equations as a constrained optimization problem provides accurate numerical simulations for large-amplitude travelling water waves in irrotational flows and in flows with…

Fluid Dynamics · Physics 2014-08-12 Adrian Constantin , Konstantinos Kalimeris , Otmar Scherzer

Visualization tools for supervised learning allow users to interpret, introspect, and gain an intuition for the successes and failures of their models. While reinforcement learning practitioners ask many of the same questions, existing…

Machine Learning · Computer Science 2020-08-20 Shuby Deshpande , Benjamin Eysenbach , Jeff Schneider

The fluid dynamics community has increasingly adopted machine learning to analyze, model, predict, and control a wide range of flows. These methods offer powerful computational capabilities for regression, compression, and optimization. In…

Fluid Dynamics · Physics 2025-08-26 Kunihiko Taira , Georgios Rigas , Kai Fukami

The problem of high-dimensional and large-scale representation of visual data is addressed from an unsupervised learning perspective. The emphasis is put on discrete representations, where the description length can be measured in bits and…

Machine Learning · Computer Science 2019-01-25 Sohrab Ferdowsi

We show how machine learning techniques based on Bayesian inference can be used to reach new levels of realism in the computer simulation of molecular materials, focusing here on water. We train our machine-learning algorithm using…

Materials Science · Physics 2013-02-25 Albert P. Bartok , Michael J. Gillan , Frederick R. Manby , Gabor Csanyi

A recent alternative for hydrogen transportation as a mixture with natural gas is blending it into natural gas pipelines. However, hydrogen embrittlement of material is a major concern for scientists and gas installation designers to avoid…

Machine Learning · Computer Science 2023-06-26 Minh Triet Chau , João Lucas de Sousa Almeida , Elie Alhajjar , Alberto Costa Nogueira Junior

Many hydrodynamic processes can be studied in a way that is scalable over a vastly relevant physical parameter space. We systematically examine this scalability, which has so far only briefly discussed in astrophysical literature. We show…

Astrophysics of Galaxies · Physics 2014-11-18 Shikui Tang , Q. Daniel Wang

We present HyperFLINT (Hypernetwork-based FLow estimation and temporal INTerpolation), a novel deep learning-based approach for estimating flow fields, temporally interpolating scalar fields, and facilitating parameter space exploration in…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Hamid Gadirov , Qi Wu , David Bauer , Kwan-Liu Ma , Jos Roerdink , Steffen Frey

A new computational method is presented to resolve hydrodynamic interactions acting on solid particles immersed in incompressible host fluids. In this method, boundaries between solid particles and host fluids are replaced with a continuous…

Soft Condensed Matter · Physics 2009-11-10 Y. Nakayama , R. Yamamoto

Hyperparameter optimization (HPO), as a central paradigm of AutoML, is crucial for leveraging the full potential of machine learning (ML) models; yet its complexity poses challenges in understanding and debugging the optimization process.…

Graphics research on Smoothed Particle Hydrodynamics (SPH) has produced fantastic visual results that are unique across the board of research communities concerned with SPH simulations. Generally, the SPH formalism serves as a spatial…

Graphics · Computer Science 2020-09-16 Dan Koschier , Jan Bender , Barbara Solenthaler , Matthias Teschner

In this work, we consider fluid-structure interaction simulation with nonlinear hyperelastic models in the solid part. We use a partitioned approach to deal with the coupled nonlinear fluid-structure interaction problems. We focus on…

Numerical Analysis · Mathematics 2013-12-20 Ulrich Langer , Huidong Yang

We introduce a modified and simplified version of the pre-existing fully parallelized three-dimensional Navier--Stokes flow solver known as TPLS. We demonstrate how the simplified version can be used as a pedagogical tool for the study of…

Physics Education · Physics 2015-11-25 James Fannon , Jean-Christophe Loiseau , Prashant Valluri , Iain Bethune , Lennon O'Naraigh

Topological methods for data analysis present opportunities for enforcing certain invariances of broad interest in computer vision, including view-point in activity analysis, articulation in shape analysis, and measurement invariance in…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Anirudh Som , Kowshik Thopalli , Karthikeyan Natesan Ramamurthy , Vinay Venkataraman , Ankita Shukla , Pavan Turaga

Interactive model analysis, the process of understanding, diagnosing, and refining a machine learning model with the help of interactive visualization, is very important for users to efficiently solve real-world artificial intelligence and…

Machine Learning · Computer Science 2017-02-07 Shixia Liu , Xiting Wang , Mengchen Liu , Jun Zhu

Hydrodynamical cosmological simulations are a powerful tool for accurately predicting the properties of the intergalactic medium (IGM) and for producing mock skies that can be compared against observational data. However, the need to…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-08 Cooper Jacobus , Peter Harrington , Zarija Lukić

Simulating fluid dynamics is crucial for the design and development process, ranging from simple valves to complex turbomachinery. Accurately solving the underlying physical equations is computationally expensive. Therefore, learning-based…

Machine Learning · Computer Science 2023-11-21 Stefan Künzli , Florian Grötschla , Joël Mathys , Roger Wattenhofer