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相关论文: A multi-field decomposed model order reduction app…

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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

The main focus of the present work is the inclusion of spatial adaptivity for the snapshot computation in the offline phase of model order reduction utilizing Proper Orthogonal Decomposition (POD-MOR) for nonlinear parabolic evolution…

数值分析 · 数学 2020-08-04 Carmen Gräßle , Michael Hinze

This paper explores an iterative coupling approach to solve linear thermo-poroelasticity problems, with its application as a high-fidelity discretization utilizing finite elements during the training of projection-based reduced order…

数值分析 · 数学 2024-01-08 Francesco Ballarin , Sanghyun Lee , Son-Young Yi

Model Order Reduction (MOR) can significantly reduce the computational cost of vibroacoustic simulations. While most MOR research focuses on single-domain systems (e.g., structural dynamics or computational fluid mechanics), this work…

应用物理 · 物理学 2026-02-05 Sander Metting van Rijn , Linus Taenzer , Paolo Tiso , Bart Van Damme

In the aim of reducing the computational cost of the resolution of parameter-dependent eigenvalue problems, a model order reduction (MOR) procedure is proposed. We focus on the case of non-self-adjoint generalized eigenvalue problems, such…

It is of great concern to produce numerically efficient methods for moisture diffusion through porous media, capable of accurately calculate moisture distribution with a reduced computational effort. In this way, model reduction methods are…

计算物理 · 物理学 2020-02-20 Suelen Gasparin , Julien Berger , Denys Dutykh , Nathan Mendes

Mathematical modeling often yields linear dynamical systems in science and engineering. We change physical parameters of the system into random variables to perform an uncertainty quantification. The stochastic Galerkin method yields a…

数值分析 · 数学 2019-09-17 Roland Pulch

We are concerned with employing Model Order Reduction (MOR) to efficiently solve parameterized multiscale problems using the Localized Orthogonal Decomposition (LOD) multiscale method. Like many multiscale methods, the LOD follows the idea…

数值分析 · 数学 2023-07-13 Tim Keil , Stephan Rave

Model Order Reduction (MOR) methods enable the generation of real-time-capable digital twins, which can enable various novel value streams in industry. While traditional projection-based methods are robust and accurate for linear problems,…

数值分析 · 数学 2021-09-09 Qinyu Zhuang , Juan Manuel Lorenzi , Hans-Joachim Bungartz , Dirk Hartmann

We discuss the recent developments of projection-based model order reduction (MOR) techniques targeting Hamiltonian problems. Hamilton's principle completely characterizes many high-dimensional models in mathematical physics, resulting in…

数值分析 · 数学 2021-09-28 J. S. Hesthaven , C. Pagliantini , N. Ripamonti

This work studies reduced order modeling (ROM) approaches to speed up the solution of variational data assimilation problems with large scale nonlinear dynamical models. It is shown that a key requirement for a successful reduced order…

系统与控制 · 计算机科学 2015-05-20 Răzvan Ştefănescu , Adrian Sandu , Ionel Michael Navon

Piecewise-linear nonlinear systems appear in many engineering disciplines. Prediction of the dynamic behavior of such systems is of great importance from practical and theoretical viewpoint. In this paper, a data-driven model order…

动力系统 · 数学 2026-03-19 Akira Saito , Masato Tanaka

In this work, a novel method with an adaptive functional basis for reduced order models (ROM) based on proper orthogonal decomposition (POD) is introduced. The method is intended to be applied in particular to hydrocarbon reservoir…

数值分析 · 数学 2021-06-23 Dmitry Voloskov , Dimitri Pissarenko

Modelling of physical systems may be a challenging task when it requires solving large sets of numerical equations. This is the case of photovoltaic (PV) systems which contain many PV modules, each module containing several silicon cells.…

材料科学 · 物理学 2015-05-21 S. O. Ojo , S. Grivet-Talocia , M. Paggi

We apply the Proper Orthogonal Decomposition (POD) method for the efficient simulation of several scenarios undergone by Micro-Electro-Mechanical-Systems, involving nonlinearites of geometric and electrostatic nature. The former type of…

数值分析 · 数学 2022-02-22 Gobat G. , Opreni A. , Fresca S. , Manzoni A. , Frangi A

The efficient condition assessment of engineered systems requires the coupling of high fidelity models with data extracted from the state of the system `as-is'. In enabling this task, this paper implements a parametric Model Order Reduction…

High-fidelity simulations of mixing and combustion processes are generally computationally demanding and time-consuming, hindering their wide application in industrial design and optimization. The present study proposes parametric reduced…

流体动力学 · 物理学 2023-08-29 Chenxu Ni , Siyu Ding , Xingjian Wang

The proper orthogonal decomposition reduced-order models (POD-ROMs) have been widely used as a computationally efficient surrogate models in large-scale numerical simulations of complex systems. However, when it is applied to a Hamiltonian…

数值分析 · 数学 2017-03-08 Yuezheng Gong , Qi Wang , Zhu Wang

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…

Model order reduction (MOR) is crucial for the design process of integrated circuits. Specifically, the vast amount of passive RLCk elements in electromagnetic models extracted from physical layouts exacerbates the extraction time, the…