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Data-driven modeling for nonlinear fluid flows using sparse convolution-based mapping into a feature space where the dynamics are Markov linear is explored in this article. The underlying principle of low-order models for fluid systems is…

流体动力学 · 物理学 2020-10-28 Chen Lu , Balaji Jayaraman , Joshua Whitman , Girish Chowdhary

We present a model for the dynamics of fluid vesicles in linear flow which consistently includes thermal fluctuations and nonlinear coupling between different modes. At the transition between tank-treading and tumbling, we predict a…

软凝聚态物质 · 物理学 2013-06-10 David Abreu , Udo Seifert

Accurate and computationally accessible models of liquid film flows allow for optimizing coating processes such as hot-dip galvanization and vertical slot-die coating. This paper extends the classic three-dimensional integral boundary layer…

流体动力学 · 物理学 2023-02-08 Tsvetelina Ivanova , Fabio Pino , Benoit Scheid , Miguel A. Mendez

The present study focuses on the development, application, and comparison of three computational frameworks of varying fidelities for assessing the effects of fuel sloshing in internal fuel tanks on the aeroelastic characteristics of a wing…

流体动力学 · 物理学 2019-12-17 Shashank Srivastava , Murali Damodaran , Boo Cheong Khoo

It is known that a finite-size homogeneous granular fluid develops an hydrodynamic-like instability when dissipation crosses a threshold value. This instability is analyzed in terms of modified hydrodynamic equations: first, a source term…

统计力学 · 物理学 2009-10-31 R. Soto , M. Mareschal , M. Malek Mansour

In this article, we discuss some of the recent developments in applying machine learning (ML) techniques to nonlinear dynamical systems. In particular, we demonstrate how to build a suitable ML framework for addressing two specific…

适应与自组织系统 · 物理学 2020-11-30 Sayan Roy , Debanjan Rana

This bachelor project presents a theoretical model describing the resonant frequencies in rectangular and cylindrical tanks. It presents an experimental validation in the rectangular case. The resonant frequencies are determined and then…

流体动力学 · 物理学 2023-10-05 Benjamin Arthur Hugo Meunier , Maxime Christophe Nicolas Roux

This study demonstrates the feasibility of developing machine learning (ML) surrogates based on Recurrent Neural Networks (RNN) for predicting the unsteady aeroelastic response of transonic pitching and plunging wing-fuel tank sloshing…

计算工程、金融与科学 · 计算机科学 2019-11-25 Shashank Srivastava , Murali Damodaran , Boo Cheong Khoo

This paper proposes a new data-driven approach to model detailed splashes for liquid simulations with neural networks. Our model learns to generate small-scale splash detail for the fluid-implicit-particle method using training data…

图形学 · 计算机科学 2018-06-27 Kiwon Um , Xiangyu Hu , Nils Thuerey

Modeling real-world systems requires accounting for noise - whether it arises from unpredictable fluctuations in financial markets, irregular rhythms in biological systems, or environmental variability in ecosystems. While the behavior of…

In nonlinear dynamical systems with highly nonorthogonal linear eigenvectors, linear non-modal analysis is more useful than normal mode analysis in predicting turbulent properties. However, the non-trivial time evolution of non-modal…

等离子体物理 · 物理学 2015-06-22 Brett Friedman , Troy A. Carter

This paper reports the features of a splashing drop on a solid surface and the temporal evolution, which are extracted through image-sequence classification using a highly interpretable feedforward neural network (FNN) with zero hidden…

流体动力学 · 物理学 2022-07-05 Jingzu Yee , Daichi Igarashi , Akinori Yamanaka , Yoshiyuki Tagawa

This paper takes a step towards temporal reasoning in a dynamically changing video, not in the pixel space that constitutes its frames, but in a latent space that describes the non-linear dynamics of the objects in its world. We introduce…

机器学习 · 统计学 2017-10-31 Marco Fraccaro , Simon Kamronn , Ulrich Paquet , Ole Winther

Morphing is a long-standing problem in vision and computer graphics, requiring a time-dependent warping for feature alignment and a blending for smooth interpolation. Recently, multilayer perceptrons (MLPs) have been explored as implicit…

We present a data-driven pipeline for model building that combines interpretable machine learning, hydrodynamic theories, and microscopic models. The goal is to uncover the underlying processes governing nonlinear dynamics experiments. We…

软凝聚态物质 · 物理学 2024-04-22 Jonathan Colen , Alexis Poncet , Denis Bartolo , Vincenzo Vitelli

We demonstrate several techniques to encourage practical uses of neural networks for fluid flow estimation. In the present paper, three perspectives which are remaining challenges for applications of machine learning to fluid dynamics are…

流体动力学 · 物理学 2022-05-19 Masaki Morimoto , Kai Fukami , Kai Zhang , Koji Fukagata

Identifying damage of structural systems is typically characterized as an inverse problem which might be ill-conditioned due to aleatory and epistemic uncertainties induced by measurement noise and modeling error. Sparse representation can…

应用统计 · 统计学 2020-06-09 Zhao Chen , Hao Sun

We introduce a machine-learning approach to predict the complex non-Markovian dynamics of supercooled liquids from static averaged quantities. Compared to techniques based on particle propensity, our method is built upon a theoretical…

无序系统与神经网络 · 物理学 2023-03-17 Simone Ciarella , Massimiliano Chiappini , Emanuele Boattini , Marjolein Dijkstra , Liesbeth M. C. Janssen

Stochastic partial differential equations have been used in a variety of contexts to model the evolution of uncertain dynamical systems. In recent years, their applications to geophysical fluid dynamics has increased massively. For a…

动力系统 · 数学 2023-05-08 Dan Crisan , Oana Lang , Alexander Lobbe , Peter Jan van Leeuwen , Roland Potthast

We propose a visual SLAM method by predicting and updating line flows that represent sequential 2D projections of 3D line segments. While feature-based SLAM methods have achieved excellent results, they still face problems in challenging…

计算机视觉与模式识别 · 计算机科学 2021-03-18 Qiuyuan Wang , Zike Yan , Junqiu Wang , Fei Xue , Wei Ma , Hongbin Zha