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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

Reduced-order models (ROMs) have become an essential tool for reducing the computational cost of fluid flow simulations. While standard ROMs can efficiently approximate laminar flows, their accuracy often suffers in convection-dominated…

流体动力学 · 物理学 2026-03-03 Ferhat Kaya , Birgul Koc , Atakan Aygun , Onur Ata , Ali Karakus

Accurate and efficient modeling of cardiac blood flow is crucial for advancing data-driven tools in cardiovascular research and clinical applications. Recently, the accuracy and availability of computational fluid dynamics (CFD)…

流体动力学 · 物理学 2025-07-30 Eneko Lazpita , Jesus Garicano-Mena , Soledad Le Clainche

In the reduced order modeling (ROM) framework, the solution of a parametric partial differential equation is approximated by combining the high-fidelity solutions of the problem at hand for several properly chosen configurations. Examples…

数值分析 · 数学 2019-05-16 Nicola Demo , Marco Tezzele , Andrea Mola , Gianluigi Rozza

Cardiovascular diseases are a leading cause of death in the world, driving the development of patient-specific and benchmark models for blood flow analysis. This chapter provides a theoretical overview of the main categories of Reduced…

Three-dimensional (3D) finite-element simulations of cardiovascular flows provide high-fidelity predictions to support cardiovascular medicine, but their high computational cost limits clinical practicality. Reduced-order models (ROMs)…

计算工程、金融与科学 · 计算机科学 2025-09-01 Natalia L. Rubio , Eric F. Darve , Alison L. Marsden

Reduced order models (ROMs) that capture flow dynamics are of interest for decreasing computational costs for simulation as well as for model-based control approaches. This work presents a data-driven framework for minimal-dimensional…

机器学习 · 计算机科学 2023-08-02 Carlos E. Pérez De Jesús , Michael D. Graham

Computational physics simulation can be a powerful tool to accelerate industry deployment of new scientific technologies. However, it must address the challenge of computationally tractable, moderately accurate prediction at large industry…

Traditional reduced order modeling techniques such as the reduced basis (RB) method (relying, e.g., on proper orthogonal decomposition (POD)) suffer from severe limitations when dealing with nonlinear time-dependent parametrized PDEs,…

数值分析 · 数学 2020-01-14 Stefania Fresca , Luca Dede , Andrea Manzoni

The present work deals with the numerical resolution of coupled 3D-2D problems arising from the simulation of fluid flow in fractured porous media modeled via the Discrete Fracture and Matrix (DFM) model. According to the DFM model,…

数值分析 · 数学 2024-01-18 Stefano Scialò

We propose a novel artificial compression, reduced order model (AC-ROM) for the numerical simulation of viscous incompressible fluid flows. The new AC-ROM provides approximations not only for velocity, but also for pressure, which is needed…

Continuous monitoring and real-time control of high-dimensional distributed systems are often crucial in applications to ensure a desired physical behavior, without degrading stability and system performances. Traditional feedback control…

最优化与控制 · 数学 2024-12-16 Matteo Tomasetto , Francesco Braghin , Andrea Manzoni

Computational fluid dynamics (CFD) simulations play an important role in engineering science and applications, however, it is not applicable for problems requiring a large number of repeated calculations. Accordingly, many reduced-order…

流体动力学 · 物理学 2026-05-28 Shan Ding , Yongfu Tian , Rui Yang

In this paper, we propose a novel reduced order model (ROM) lengthscale that is constructed by using energy distribution arguments. The new energy-based ROM lengthscale is fundamentally different from the current ROM lengthscales, which are…

数值分析 · 数学 2022-11-09 Changhong Mou , Elia Merzari , Omer San , Traian Iliescu

We present a novel reduced-order fluid simulation technique leveraging Dynamic Mode Decomposition (DMD) to achieve fast, memory-efficient, and user-controllable subspace simulation. We demonstrate that our approach combines the strengths of…

This work introduces a data-driven, non-intrusive reduced-order modeling (ROM) framework that leverages Optimal Transport (OT) for multi-fidelity and parametric problems in two-phase flows modelling. Building upon the success of…

数值分析 · 数学 2026-03-30 Moaad Khamlich , Niccolò Tonicello , Federico Pichi , Gianluigi Rozza

This paper develops a direct data-driven framework for constructing reduced-order models (ROMs) of discrete-time linear dynamical systems with unknown dynamics and process disturbances. The proposed scheme enables controller synthesis on…

系统与控制 · 电气工程与系统科学 2026-03-27 Behrad Samari , Henrik Sandberg , Karl H. Johansson , Abolfazl Lavaei

We propose, analyze, and test a novel continuous data assimilation reduced order model (DA-ROM) for simulating incompressible flows. While ROMs have a long history of success on certain problems with recurring dominant structures, they tend…

数值分析 · 数学 2019-10-02 Camille Zerfas , Leo G. Rebholz , Michael Schneier , Traian Iliescu

The direct monitoring of a rotating detonation engine (RDE) combustion chamber has enabled the observation of combustion front dynamics that are composed of a number of co- and/or counter-rotating coherent traveling shock waves whose…

动力系统 · 数学 2021-05-19 Ariana Mendible , James Koch , Henning Lange , Steven L. Brunton , J. Nathan Kutz

A data-driven framework using snapshots of an uncontrolled flow is proposed to identify, and subsequently demonstrate, effective control strategies for different objectives in supersonic impinging jets. The approach, based on a dynamic mode…

流体动力学 · 物理学 2023-09-12 Spencer L. Stahl , Datta V. Gaitonde