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A supervised learning approach is proposed for regularization of large inverse problems where the main operator is built from noisy data. This is germane to superresolution imaging via the sampling indicators of the inverse scattering…

数值分析 · 数学 2025-08-22 Fatemeh Pourahmadian , Yang Xu

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.…

计算机视觉与模式识别 · 计算机科学 2026-02-10 Yang Bai

Turbulence is ubiquitous in engineering and science, yet direct simulation is prohibitively expensive. The Reynolds-averaged Navier-Stokes (RANS) equations provide savings exceeding ten orders of magnitude but introduce unclosed terms (the…

流体动力学 · 物理学 2026-05-27 Daniel Dehtyriov , Jonathan F. MacArt , Justin Sirignano

The immense computational cost of simulating turbulence has motivated the use of machine learning approaches for super-resolving turbulent flows. A central challenge is ensuring that learned models respect physical symmetries, such as…

流体动力学 · 物理学 2025-09-26 Julia Balla , Jeremiah Bailey , Ali Backour , Elyssa Hofgard , Tommi Jaakkola , Tess Smidt , Ryley McConkey

Analysis of compressible turbulent flows is essential for applications related to propulsion, energy generation, and the environment. Here, we present BLASTNet 2.0, a 2.2 TB network-of-datasets containing 744 full-domain samples from 34…

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…

流体动力学 · 物理学 2021-03-16 Pranshu Pant , Amir Barati Farimani

We propose a new design of a neural network for solving a zero shot super resolution problem for turbulent flows. We embed Luenberger-type observer into the network's architecture to inform the network of the physics of the process, and to…

数值分析 · 数学 2022-04-18 Mykhaylo Zayats , Małgorzata J. Zimoń , Kyongmin Yeo , Sergiy Zhuk

We use physics-informed neural networks for solving the shallow-water equations for tsunami modeling. Physics-informed neural networks are an optimization based approach for solving differential equations that is completely meshless. This…

计算物理 · 物理学 2024-06-25 Rüdiger Brecht , Elsa Cardoso-Bihlo , Alex Bihlo

Over the past few decades, underwater image enhancement has attracted increasing amount of research effort due to its significance in underwater robotics and ocean engineering. Research has evolved from implementing physics-based solutions…

计算机视觉与模式识别 · 计算机科学 2021-01-07 Ankita Naik , Apurva Swarnakar , Kartik Mittal

Advancing our understanding of astrophysical turbulence is bottlenecked by the limited resolution of numerical simulations that may not fully sample scales in the inertial range. Machine learning (ML) techniques have demonstrated promise in…

流体动力学 · 物理学 2024-02-02 Diane M. Salim , Blakesley Burkhart , David Sondak

Deep Learning (DL), in particular deep neural networks (DNN), by default is purely data-driven and in general does not require physics. This is the strength of DL but also one of its key limitations when applied to science and engineering…

机器学习 · 统计学 2022-09-26 Hai V. Nguyen , Tan Bui-Thanh

We train a deep convolutional neural network to predict hydrodynamic results for flow coefficients, average transverse momenta and charged particle multiplicities in ultrarelativistic heavy-ion collisions from the initial energy density…

高能物理 - 唯象学 · 物理学 2023-03-09 H. Hirvonen , K. J. Eskola , H. Niemi

We present a novel multiscale super-resolution framework (SRLBM) that applies deep learning directly to the mesoscopic density distribution functions of the lattice Boltzmann method for high-fidelity flow reconstruction. Two neural network…

流体动力学 · 物理学 2025-09-19 Gengchao Yang , Renyu Luo , Qinghe Yao , Peiji Wang , Jinxiu Zhang

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…

流体动力学 · 物理学 2025-07-02 Francis G. VanGessel , Mitul Pandya

We present a new turbulent data reconstruction method with supervised machine learning techniques inspired by super resolution and inbetweening, which can recover high-resolution turbulent flows from grossly coarse flow data in space and…

流体动力学 · 物理学 2021-01-25 Kai Fukami , Koji Fukagata , Kunihiko Taira

Is a deep learning model capable of understanding systems governed by certain first principle laws by only observing the system's output? Can deep learning learn the underlying physics and honor the physics when making predictions? The…

计算物理 · 物理学 2020-06-11 Rohan Thavarajah , Xiang Zhai , Zheren Ma , David Castineira

4D Flow Magnetic Resonance Imaging (4D Flow MRI) is a non-invasive technique for volumetric, time-resolved blood flow quantification. However, apparent trade-offs between acquisition time, image noise, and resolution limit clinical…

Turbulent flow over permeable interface is omnipresent featuring complex flow topology. In this work, a data driven, end to end machine learning model has been developed to model the turbulent flow in porous media. For the same, we have…

流体动力学 · 物理学 2023-11-28 Xu Chu , Sandeep Pandey

Modeling of turbulent flows is still challenging. One way to deal with the large scale separation due to turbulence is to simulate only the large scales and model the unresolved contributions as done in large-eddy simulation (LES). This…

计算物理 · 物理学 2019-10-03 Mathis Bode , Michael Gauding , Konstantin Kleinheinz , Heinz Pitsch

In recent years, large convolutional neural networks have been widely used as tools for image deblurring, because of their ability in restoring images very precisely. It is well known that image deblurring is mathematically modeled as an…

计算机视觉与模式识别 · 计算机科学 2023-06-01 Davide Evangelista , Elena Morotti , Elena Loli Piccolomini , James Nagy