English
Related papers

Related papers: Deep learning-based fast solver of the shallow wat…

200 papers

Machine learning methods have been successful in many areas, like image classification and natural language processing. However, it still needs to be determined how to apply ML to areas with mathematical constraints, like solving PDEs.…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Yang Bai

Three-dimensional target identification using scattering techniques requires high accuracy solutions and very fast computations for real-time predictions in some critical applications. We first train a deep neural operator~(DeepONet) to…

Machine Learning · Computer Science 2025-07-21 Youngkyu Lee , Shanqing Liu , Zongren Zou , Adar Kahana , Eli Turkel , Rishikesh Ranade , Jay Pathak , George Em Karniadakis

Flood-induced deformation of the bed topography of fluvial meandering rivers could lead to river bank displacement, structural failure of the infrastructures, and the propagation of scour or deposition features. The assessment of sediment…

Shallow Water Moment Equations (SWME) are extensions to the well-known Shallow Water Equations (SWE) for the efficient modeling and numerical simulation of free-surface flows. While the SWE typically assume a depth-averaged vertical…

Numerical Analysis · Mathematics 2026-02-03 Julian Koellermeier

This paper presents a forecasting model designed using WSNs (Wireless Sensor Networks) to predict flood in rivers using simple and fast calculations to provide real-time results and save the lives of people who may be affected by the flood.…

Machine Learning · Computer Science 2012-03-13 Victor Seal , Arnab Raha , Shovan Maity , Souvik Kr Mitra , Amitava Mukherjee , Mrinal Kanti Naskar

State estimation (SE) of water distribution networks (WDNs) is difficult to solve due to nonlinearity/nonconvexity of water flow models, uncertainties from parameters and demands, lack of redundancy of measurements, and inaccurate flow and…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Shen Wang , Ahmad F. Taha , Lina Sela , Nikolaos Gatsis , Marcio H. Giacomoni

A fully (pseudo-)spectral solver for direct numerical simulations of large-scale turbulent channel flows is described. The solver utilizes the Chebyshev base functions suggested by J. Shen [SIAM J. Sci. Comput., 16, 1, 1995], that lead to…

Numerical Analysis · Mathematics 2017-01-17 Mikael Mortensen

The resolution of the Poisson equation is usually one of the most computationally intensive steps for incompressible fluid solvers. Lately, Deep Learning, and especially Convolutional Neural Networks (CNN), has been introduced to solve this…

Fluid Dynamics · Physics 2021-09-24 Ekhi Ajuria Illarramendi , Michaël Bauerheim , Bénédicte Cuenot

We propose a deep neural network (DNN) as a fast surrogate model for local stress (and in principle strain) calculation in inhomogeneous non-linear material systems. We show that the DNN predicts the local stresses with about 3.8% mean…

Materials Science · Physics 2021-03-17 Jaber Rezaei Mianroodi , Nima H. Siboni , Dierk Raabe

Shallow water equations are the foundation of most models for flooding and river hydraulics analysis. These physics-based models are usually expensive and slow to run, thus not suitable for real-time prediction or parameter inversion. An…

Fluid Dynamics · Physics 2021-12-22 Yalan Song , Chaopeng Shen , Xiaofeng Liu

Hydrodynamic flood modeling improves hydrologic and hydraulic prediction of storm events. However, the computationally intensive numerical solutions required for high-resolution hydrodynamics have historically prevented their implementation…

Machine Learning · Computer Science 2023-07-06 Francisco Haces-Garcia , Natalya Maslennikova , Craig L Glennie , Hanadi S Rifai , Vedhus Hoskere , Nima Ekhtari

Monocular Depth and Surface Normals Estimation (MDSNE) is crucial for tasks such as 3D reconstruction, autonomous navigation, and underwater exploration. Current methods rely either on discriminative models, which struggle with transparent…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Alzayat Saleh , Melanie Olsen , Bouchra Senadji , Mostafa Rahimi Azghadi

Within the domain of Computational Fluid Dynamics, Direct Numerical Simulation (DNS) is used to obtain highly accurate numerical solutions for fluid flows. However, this approach for numerically solving the Navier-Stokes equations is…

Fluid Dynamics · Physics 2021-03-16 Pranshu Pant , Amir Barati Farimani

When dealing with shallow water simulations, the velocity profile is often assumed to be constant along the vertical axis. However, since in many applications this is not the case, modeling errors can be significant. Hence, in this work, we…

Numerical Analysis · Mathematics 2025-01-15 C. Caballero-Cárdenas , I. Gómez-Bueno , A. del Grosso , J. Koellermeier , T. Morales de Luna

Underwater explosions produce complex fluid phenomena relevant to diverse applications including maritime engineering, medical therapeutics, and inertial confinement fusion. These systems exhibit multiphase flows, chemical kinetics, and…

Fluid Dynamics · Physics 2025-07-02 Francis G. VanGessel , Mitul Pandya

The pressure Poisson equation, central to the fractional step method in incompressible flow simulations, incurs high computational costs due to the iterative solution of large-scale linear systems. To address this challenge, we introduce…

Fluid Dynamics · Physics 2025-11-04 Heming Bai , Xin Bian

We use machine learning to perform super-resolution analysis of grossly under-resolved turbulent flow field data to reconstruct the high-resolution flow field. Two machine-learning models are developed; namely the convolutional neural…

Fluid Dynamics · Physics 2019-05-08 Kai Fukami , Koji Fukagata , Kunihiko Taira

Deep Learning (DL) algorithms are emerging as a key alternative to computationally expensive CFD simulations. However, state-of-the-art DL approaches require large and high-resolution training data to learn accurate models. The size and…

This paper introduces a deep learning-based super-resolution (SR) framework specifically developed for accurately reconstructing high-resolution velocity fields in two-way coupled particle-laden turbulent flows. Leveraging conditional…

Water supplies are crucial for the development of living beings. However, change in the hydrological process i.e. climate and land usage are the key issues. Sustaining water level and accurate estimating for dynamic conditions is a critical…

Neural and Evolutionary Computing · Computer Science 2019-06-27 Sadaqat ur Rehman , Zhongliang Yang , Muhammad Shahid , Nan Wei , Yongfeng Huang , Muhammad Waqas , Shanshan Tu , Obaid ur Rehman