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Reduced Order Models (ROMs) have gained a great attention by the scientific community in the last years thanks to their capabilities of significantly reducing the computational cost of the numerical simulations, which is a crucial objective…

数值分析 · 数学 2024-06-05 Guglielmo Padula , Michele Girfoglio , Gianluigi Rozza

Nonintrusive projection-based reduced order models (ROMs) are essential for dynamics prediction in multi-query applications where access to the source of the underlying full order model (FOM) is unavailable; that is, FOM is a black-box.…

计算物理 · 物理学 2024-10-16 Aviral Prakash , Yongjie Jessica Zhang

In this paper, we combine deep learning concepts and some proper orthogonal decomposition (POD) model reduction methods for predicting flow in heterogeneous porous media. Nonlinear flow dynamics is studied, where the dynamics is regarded as…

A new deep-learning-based reduced-order modeling (ROM) framework is proposed for application in subsurface flow simulation. The reduced-order model is based on an existing embed-to-control (E2C) framework and includes an auto-encoder, which…

计算物理 · 物理学 2019-06-11 Zhaoyang Larry Jin , Yimin Liu , Louis J. Durlofsky

State estimation is key to both analyzing physical mechanisms and enabling real-time control of fluid flows. A common estimation approach is to relate sensor measurements to a reduced state governed by a reduced-order model (ROM). (When…

流体动力学 · 物理学 2020-06-10 Nirmal J. Nair , Andres Goza

In this manuscript the development of a reduced order model for the analysis of long flexible cylinders in an offshore environment is proposed. In particular the focus is on the modelling of the vortex induced vibrations (VIV) and the aim…

计算工程、金融与科学 · 计算机科学 2018-10-03 Giovanni Stabile , Hermann G. Matthies , Claudio Borri

Reduced Order Modelling (ROM) has been widely used to create lower order, computationally inexpensive representations of higher-order dynamical systems. Using these representations, ROMs can efficiently model flow fields while using…

流体动力学 · 物理学 2021-10-13 Pranshu Pant , Ruchit Doshi , Pranav Bahl , Amir Barati Farimani

Reduced order models (ROMs) play a critical role in fluid mechanics by providing low-cost predictions, making them an attractive tool for engineering applications. However, for ROMs to be widely applicable, they must not only generalise…

机器学习 · 计算机科学 2025-05-06 Ismaël Zighed , Nicolas Thome , Patrick Gallinari , Taraneh Sayadi

In this work, we address parametric non-stationary fluid dynamics problems within a model order reduction setting based on domain decomposition. Starting from the optimisation-based domain decomposition approach, we derive an optimal…

数值分析 · 数学 2024-02-21 Ivan Prusak , Davide Torlo , Monica Nonino , Gianluigi Rozza

We present a model reduction approach for the real-time solution of time-dependent nonlinear partial differential equations (PDEs) with parametric dependencies. The approach integrates several ingredients to develop efficient and accurate…

数值分析 · 数学 2024-10-04 Ngoc Cuong Nguyen

On the basis of input-output time-domain data collected from a complex simulator, this paper proposes a constructive methodology to infer a reduced-order linear, bilinear or quadratic time invariant dynamical model reproducing the…

Nonequilibrium statistical models of point vortex systems are constructed using an optimal closure method, and these models are employed to approximate the relaxation toward equilibrium of systems governed by the two-dimensional Euler…

流体动力学 · 物理学 2018-12-26 Jonathan Maack , Bruce Turkington

Recent developments in vortex particle methods for simulating three-dimensional incompressible flows are presented. A lightweight, dynamic Large-Eddy Simulation model is tested, featuring a dynamic procedure that relies solely on Lagrangian…

流体动力学 · 物理学 2026-01-13 Flavio A. C. Martins , Alexander van Zuijlen , Carlos J. Simao Ferreira

Turbulent flow control has numerous applications and building reduced-order models (ROMs) of the flow and the associated feedback control laws is extremely challenging. Despite the complexity of building data-driven ROMs for turbulence, the…

流体动力学 · 物理学 2021-07-19 Arvind T. Mohan , Kaushik Nagarajan , Daniel Livescu

We consider linear dynamical systems of ordinary differential equations or differential algebraic equations. Physical parameters are substituted by random variables for an uncertainty quantification. We expand the state variables as well as…

数值分析 · 数学 2016-05-24 Roland Pulch

Unsteady fluid systems are nonlinear high-dimensional dynamical systems that may exhibit multiple complex phenomena both in time and space. Reduced Order Modeling (ROM) of fluid flows has been an active research topic in the recent decade…

流体动力学 · 物理学 2020-10-05 Hamidreza Eivazi , Hadi Veisi , Mohammad Hossein Naderi , Vahid Esfahanian

In this paper, we investigate projection-based intrusive and data-driven non-intrusive model order reduction methods in numerical simulation of rotating thermal shallow water equation (RTSWE) in parametric and non-parametric form.…

数值分析 · 数学 2023-07-19 Süleyman Yıldız , Murat Uzunca , Bülent Karasözen

The objective of this paper is to design novel multi-layer neural network architectures for multiscale simulations of flows taking into account the observed data and physical modeling concepts. Our approaches use deep learning concepts…

数值分析 · 数学 2018-06-14 Yating Wang , Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Min Wang

Reduced-order models (ROMs) are very popular for surrogate modeling of full-order computational fluid dynamics (CFD) simulations, allowing for real-time approximation of complex flow phenomena. However, their application to CFD models…

流体动力学 · 物理学 2025-11-25 Rakesh Halder , Benet Eiximeno , Oriol Lehmkuhl

We present an enhanced version of the parametric nonlinear reduced order model for shape imperfections in structural dynamics we studied in a previous work [1]. The model is computed intrusively and with no training using information about…

计算工程、金融与科学 · 计算机科学 2022-01-02 Jacopo Marconi , Paolo Tiso , Davide E. Quadrelli , Francesco Braghin