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相关论文: Physics-based Reduced Order Modeling for Uncertain…

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The real-time monitoring of the structural displacement of the Vacuum Vessel (VV) of thermonuclear fusion devices caused by electromagnetic (EM) loads is of great interest. In this paper, Model Order Reduction (MOR) is applied to the…

Multiple model reduction techniques have been proposed to tackle linear and non linear problems. Intrusive model order reduction techniques exhibit high accuracy levels, however, they are rarely used as a standalone industrial tool, because…

计算工程、金融与科学 · 计算机科学 2025-04-10 Mikhael Tannous , Chady Ghnatios , Eivind Fonn , Trond Kvamsdal , Francisco Chinesta

The current study aims to evaluate and investigate the development of projection-based reduced-order models (ROMs) for efficient and accurate RDE simulations. Specifically, we focus on assessing the projection-based ROM construction…

流体动力学 · 物理学 2024-08-29 Ryan Camacho , Cheng Huang

Recent efforts in smart manufacturing have enhanced aerospace fuselage assembly processes, particularly by innovating shape adjustment techniques to minimize dimensional gaps between assembled sections. Existing approaches have shown…

机器学习 · 计算机科学 2025-12-01 Jiayu Liu , Chong Liu , Trevor Rhone , Yinan Wang

The two-layer quasi-geostrophic equations (2QGE) serve as a simplified model for simulating wind-driven, stratified ocean flows. However, their numerical simulation remains computationally expensive due to the need for high-resolution…

数值分析 · 数学 2025-04-23 Lander Besabe , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

Numerical simulations of contaminant dispersion, as after a gas leakage incident on a chemical plant, can provide valuable insights for both emergency response and preparedness. Simulation approaches combine incompressible Navier-Stokes…

计算工程、金融与科学 · 计算机科学 2026-03-05 Lisa Kühn , Jacopo Bonari , Max von Danwitz , Alexander Popp

An adaptive projection-based reduced-order model (ROM) formulation is presented for model-order reduction of problems featuring chaotic and convection-dominant physics. An efficient method is formulated to adapt the basis at every time-step…

计算物理 · 物理学 2023-08-09 Cheng Huang , Karthik Duraisamy

We introduce a novel, computationally inexpensive approach for imaging with an active array of sensors, which probe an unknown medium with a pulse and measure the resulting waves. The imaging function uses a data driven estimate of the…

数值分析 · 数学 2022-01-19 Liliana Borcea , Josselin Garnier , Alexander V. Mamonov , Jörn Zimmerling

Model order reduction (MOR) involves offering low-dimensional models that effectively approximate the behavior of complex high-order systems. Due to potential model complexities and computational costs, designing controllers for…

系统与控制 · 电气工程与系统科学 2025-02-04 Behrad Samari , Amy Nejati , Abolfazl Lavaei

In this paper, we propose an equation-based parametric Reduced Order Model (ROM), whose accuracy is improved with data-driven terms added into the reduced equations. These additions have the aim of reintroducing contributions that in…

数值分析 · 数学 2024-06-07 Anna Ivagnes , Giovanni Stabile , Gianluigi Rozza

This contribution describes the implementation of a data--driven shape optimization pipeline in a naval architecture application. We adopt reduced order models (ROMs) in order to improve the efficiency of the overall optimization, keeping a…

数值分析 · 数学 2024-01-22 Nicola Demo , Giulio Ortali , Gianluca Gustin , Gianluigi Rozza , Gianpiero Lavini

Suitable reduced order models (ROMs) are computationally efficient tools in characterizing key dynamical and statistical features of nature. In this paper, a systematic multiscale stochastic ROM framework is developed for complex systems…

计算物理 · 物理学 2022-03-23 Changhong Mou , Nan Chen , Traian Iliescu

Machine learning methods for the construction of data-driven reduced order model models are used in an increasing variety of engineering domains, especially as a supplement to expensive computational fluid dynamics for design problems. An…

机器学习 · 统计学 2023-06-28 Stephen Guth , Alireza Mojahed , Themistoklis P. Sapsis

This work proposes novel techniques for the efficient numerical simulation of parameterized, unsteady partial differential equations. Projection-based reduced order models (ROMs) such as the reduced basis method employ a (Petrov-)Galerkin…

数值分析 · 数学 2023-12-05 Nicholas Mueller , Santiago Badia

This work presents a technique for statistically modeling errors introduced by reduced-order models. The method employs Gaussian-process regression to construct a mapping from a small number of computationally inexpensive `error indicators'…

数值分析 · 计算机科学 2015-04-16 Martin Drohmann , Kevin Carlberg

While data-driven techniques are powerful tools for reduced-order modeling of systems with chaotic dynamics, great potential remains for leveraging known physics (i.e. a full-order model (FOM)) to improve predictive capability. We develop a…

机器学习 · 计算机科学 2025-07-30 Alex Guo , Michael D. Graham

Optimization problems arise in a range of scenarios, from optimal control to model parameter estimation. In many applications, such as the development of digital twins, it is essential to solve these optimization problems within…

最优化与控制 · 数学 2025-09-01 Joseph Hart , Shane A. McQuarrie , Zachary Morrow , Bart van Bloemen Waanders

We propose a new method in which a generative network (GN) integrate into a reduced-order model (ROM) framework is used to solve inverse problems for partial differential equations (PDE). The aim is to match available measurements and…

机器学习 · 计算机科学 2025-06-17 Vinicius L. S. Silva , Claire E. Heaney , Nenko Nenov , Christopher C. Pain

Guided wave-based techniques have been used extensively in Structural Health Monitoring (SHM). Models using guided waves can provide information from both time and frequency domains to make themselves accurate and robust. Probabilistic SHM…

信号处理 · 电气工程与系统科学 2025-05-06 Yiming Fan , Fotis Kopsaftopoulos

High-fidelity numerical simulations such as Computational Fluid Dynamics (CFD) have been proven effective in analysing haemodynamics, offering insight into many vascular conditions. However, these methods often face challenges of high…