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相关论文: Nonlinear Reduced-Order Modeling of Compressible F…

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Although projection-based reduced-order models (ROMs) for parameterized nonlinear dynamical systems have demonstrated exciting results across a range of applications, their broad adoption has been limited by their intrusivity: implementing…

机器学习 · 计算机科学 2021-06-18 Zhe Bai , Liqian Peng

In this work, a new hybrid predictive Reduced Order Model (ROM) is proposed to solve reacting flow problems. This algorithm is based on a dimensionality reduction using Proper Orthogonal Decomposition (POD) combined with deep learning…

机器学习 · 计算机科学 2023-01-25 Adrián Corrochano , Rodolfo S. M. Freitas , Alessandro Parente , Soledad Le Clainche

Model-free deep reinforcement learning (DRL) methods suffer from poor sample efficiency. To overcome this limitation, this work introduces an adaptive reduced-order-model (ROM)-based reinforcement learning framework for active flow control.…

机器学习 · 计算机科学 2026-04-08 Zesheng Yao , Zhen-Hua Wan , Canjun Yang , Qingchao Xia , Mengqi Zhang

In this study, we present a non-intrusive reduced order modeling (ROM) framework for large-scale quasi-stationary systems. The framework proposed herein exploits the time series prediction capability of long short-term memory (LSTM)…

计算工程、金融与科学 · 计算机科学 2019-11-20 Sk. Mashfiqur Rahman , Suraj Pawar , Omer San , Adil Rasheed , Traian Iliescu

Traditional linear subspace reduced order models (LS-ROMs) are able to accelerate physical simulations, in which the intrinsic solution space falls into a subspace with a small dimension, i.e., the solution space has a small Kolmogorov…

数值分析 · 数学 2025-11-06 Youngkyu Kim , Youngsoo Choi , David Widemann , Tarek Zohdi

We present a deep learning-based reduced order model (DL-ROM) for predicting the fluid forces and unsteady vortex patterns. We consider flow past a sphere to examine the accuracy of our DL-ROM predictions. The proposed methodology relies on…

流体动力学 · 物理学 2022-04-06 Rachit Gupta , Rajeev Jaiman

Nonlinear reduced-order models (ROMs), represented by manifold learning (ML), can effectively improve the modeling accuracy of nonlinear flow fields with discontinuities. However, the inverse mapping from low-dimensional manifold…

流体动力学 · 物理学 2025-07-24 Weiji Wang , Chunlin Gong , Xuyi Jia , Chunna Li

The use of deep learning has become increasingly popular in reduced-order models (ROMs) to obtain low-dimensional representations of full-order models. Convolutional autoencoders (CAEs) are often used to this end as they are adept at…

流体动力学 · 物理学 2024-08-12 Rakesh Halder , Mohammadmehdi Ataei , Hesam Salehipour , Krzysztof Fidkowski , Kevin Maki

Deep learning-based reduced order models (DL-ROMs) have been recently proposed to overcome common limitations shared by conventional reduced order models (ROMs) - built, e.g., through proper orthogonal decomposition (POD) - when applied to…

数值分析 · 数学 2021-11-03 Stefania Fresca , Andrea Manzoni

In this paper, we present a deep learning-based reduced-order model (DL-ROM) for the stability prediction of unsteady 3D fluid-structure interaction systems. The proposed DL-ROM has the format of a nonlinear state-space model and employs a…

流体动力学 · 物理学 2021-12-21 A. Chizfahm , R. Jaiman

In transonic turbine stages, complex interactions between trailing edge shocks from nozzle guide vanes and rotor blades generate unsteady wall pressure fields, impacting rotor aerodynamic performance and structural integrity. While…

Reduced order modeling lowers the computational cost of solving PDEs by learning a low-order spatial representation from data and dynamically evolving these representations using manifold projections of the governing equations. While…

流体动力学 · 物理学 2024-07-10 Vedant Puri , Aviral Prakash , Levent Burak Kara , Yongjie Jessica Zhang

It's difficult to accurately predict the flow with shock waves over an aircraft due to the flow's strongly nonlinear characteristics. In this study, we propose an accuracy-enhanced flow prediction method that fuses deep learning and…

流体动力学 · 物理学 2024-05-27 Xuyi Jia , Chunlin Gong , Wen Ji , Chunna Li

Traditional linear subspace reduced order models (LS-ROMs) are able to accelerate physical simulations, in which the intrinsic solution space falls into a subspace with a small dimension, i.e., the solution space has a small Kolmogorov…

数值分析 · 数学 2020-11-17 Youngkyu Kim , Youngsoo Choi , David Widemann , Tarek Zohdi

In this effort we propose a data-driven learning framework for reduced order modeling of fluid dynamics. Designing accurate and efficient reduced order models for nonlinear fluid dynamic problems is challenging for many practical…

计算物理 · 物理学 2018-12-05 Xuping Xie , Guannan Zhang , Clayton G. Webster

In this paper, we introduce a modular deep neural network (DNN) framework for data-driven reduced order modeling of dynamical systems relevant to fluid flows. We propose various deep neural network architectures which numerically predict…

计算物理 · 物理学 2019-09-04 S. Pawar , S. M. Rahman , H. Vaddireddy , O. San , A. Rasheed , P. Vedula

The Kolmogorov $n$-width of the solution manifolds of transport-dominated problems can decay slowly. As a result, it can be challenging to design efficient and accurate reduced order models (ROMs) for such problems. To address this issue,…

数值分析 · 数学 2022-06-29 Zhichao Peng , Min Wang , Fengyan Li

Reduced order modeling (ROM) is a field of techniques that approximates complex physics-based models of real-world processes by inexpensive surrogates that capture important dynamical characteristics with a smaller number of degrees of…

机器学习 · 计算机科学 2021-08-30 Rachel Cooper , Andrey A. Popov , Adrian Sandu

Digital twins have emerged as a key technology for optimizing the performance of engineering products and systems. High-fidelity numerical simulations constitute the backbone of engineering design, providing an accurate insight into the…

机器学习 · 计算机科学 2023-06-28 G. I. Drakoulas , T. V. Gortsas , G. C. Bourantas , V. N. Burganos , D. Polyzos

The direct computation of the third-order normal form for a geometrically nonlinear structure discretised with the finite element (FE) method, is detailed. The procedure allows to define a nonlinear mapping in order to derive accurate…

计算工程、金融与科学 · 计算机科学 2022-05-26 Alessandra Vizzaccaro , Yichang Shen , Loïc Salles , Jiří Blahoš , Cyril Touzé