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Two hybrid quantum-classical reservoir computing models are presented to reproduce low-order statistical properties of a two-dimensional turbulent Rayleigh-B\'enard convection flow at a Rayleigh number Ra=1e+5 and a Prandtl number Pr=10.…

流体动力学 · 物理学 2023-12-14 Philipp Pfeffer , Florian Heyder , Jörg Schumacher

In this paper, we propose a new evolve-then-filter reduced order model (EF-ROM). This is a regularized ROM (Reg-ROM), which aims at the numerical stabilization of proper orthogonal decomposition (POD) ROMs for convection-dominated flows. We…

流体动力学 · 物理学 2016-08-16 David Wells , Zhu Wang , Xuping Xie , Traian Iliescu

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

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

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

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

Rayleigh-Benard convection (RBC) is a canonical system for buoyancy-driven turbulence and heat transport, central to geophysical and industrial flows. Developing efficient control strategies remains challenging at high Rayleigh numbers,…

流体动力学 · 物理学 2026-03-12 Qiwei Chen , C. Ricardo Constante-Amores

The present work presents a stable POD-Galerkin based reduced-order model (ROM) for two-dimensional Rayleigh-B\'enard convection in a square geometry for three Rayleigh numbers: $10^4$ (steady state), $3\times 10^5$ (periodic), and $6…

流体动力学 · 物理学 2024-02-09 Krishan Chand , Henrik Rosenberger , Benjamin Sanderse

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

Reservoir computing is applied to model the large-scale evolution and the resulting low-order turbulence statistics of a two-dimensional turbulent Rayleigh-B\'{e}nard convection flow at a Rayleigh number ${\rm Ra}=10^7$ and a Prandtl number…

流体动力学 · 物理学 2020-11-25 Sandeep Pandey , Jörg Schumacher

In this contribution, we focus on the Reynolds-Averaged Navier-Stokes (RANS) models and their exploitation to build reliable reduced order models to further accelerate predictions for real-time applications and many-query scenarios.…

流体动力学 · 物理学 2025-10-09 Davide Oberto , Maria Strazzullo , Stefano Berrone

We devise a pattern-aware feedback framework for representing the forced climate response using a suite of Green's function experiments with solar radiation perturbations. By considering the column energy balance, a comprehensive linear…

大气与海洋物理 · 物理学 2024-10-31 Parvathi Kooloth , Jian Lu , Yi Huang , Derek DeSantis , Yiling Huo , Fukai Liu , Hailong Wang

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 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

A low-dimensional model (LDM) for turbulent Rayleigh-Benard convection in a Cartesian cell with square domain, based on the Galerkin projection of the Boussinesq equations onto a finite set of empirical eigenfunctions, is presented. The…

流体动力学 · 物理学 2011-08-30 Jorge Bailon-Cuba , Joerg Schumacher

Forecasting atmospheric flows with traditional discretization methods, also called full order methods (e.g., finite element methods or finite volume methods), is computationally expensive. We propose to reduce the computational cost with a…

数值分析 · 数学 2025-04-03 Arash Hajisharifi , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

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

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

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

The continuous casting tundish plays a critical role as a metallurgical reactor in the continuous casting process, with its flow characteristics serving as a key parameter in the production of high-quality steel. These characteristics are…