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This paper deals with the numerical modeling of flow around and through a porous obstacle by a reduced order model (ROM) obtained by Galerkin projection of the Navier-Stokes equations onto a Proper Orthogonal Decomposition (POD) reduced…

流体动力学 · 物理学 2023-07-24 Cyrille Allery , Claudine Beghein , Claire Dubot , Fabien Dubot

Constructing reduced-order models (ROMs) capable of efficiently predicting the evolution of high-dimensional, parametric systems is crucial in many applications in engineering and applied sciences. A popular class of projection-based ROMs…

机器学习 · 计算机科学 2026-03-17 Nicolò Botteghi , Silke Glas , Christoph Brune

This study presents a hybrid reduced-order modeling (ROM) framework for turbulent incompressible flows on collocated finite volume grids. The methodology employs the "discretize-then-project" consistent flux strategy, which ensures mass…

数值分析 · 数学 2026-01-28 Nadim Rooholamin , Kabir Bakhshaei , Giovanni Stabile

We explore a reduced-order model (ROM) of plane Couette flow with a view to performing turbulence control. The ROM is derived through Galerkin projections of the incompressible Navier-Stokes (NS) system onto a basis composed of…

流体动力学 · 物理学 2025-07-09 Igor A. Maia , André V. G. Cavalieri

We present a cut-cell method for the simulation of 2D incompressible flows past obstacles. It consists in using the MAC scheme on cartesian grids and imposing Dirchlet boundary conditions for the velocity field on the boundary of solid…

偏微分方程分析 · 数学 2019-01-25 François Bouchon , Thierry Dubois , Nicolas James

We develop a combined field formulation for the fluid structure (FS) interaction problem. The unknowns are (u;p;v), being the fluid velocity, fluid pressure and solid velocity. This combined field formulation uses Arbitrary Lagrangian…

数值分析 · 数学 2014-01-03 Jie Liu

Model-order reduction techniques allow the construction of low-dimensional surrogate models that can accelerate engineering design processes. Often, these techniques are intrusive, meaning that they require direct access to underlying…

动力系统 · 数学 2023-08-16 Yevgeniya Filanova , Igor Pontes Duff , Pawan Goyal , Peter Benner

We present an hybrid VOF/embedded boundary method allowing to model two-phase flows in presence of solids with arbitrary shapes. The method relies on the coupling of existing methods: a geometric Volume of fluid (VOF) method to tackle the…

A novel approach to full waveform inversion (FWI), based on a data driven reduced order model (ROM) of the wave equation operator is introduced. The unknown medium is probed with pulses and the time domain pressure waveform data is recorded…

数值分析 · 数学 2022-08-03 Alexander V. Mamonov , Liliana Borcea , Josselin Garnier , Jörn Zimmerling

In this article, we introduce a modular hybrid analysis and modeling (HAM) approach to account for hidden physics in reduced order modeling (ROM) of parameterized systems relevant to fluid dynamics. The hybrid ROM framework is based on…

计算物理 · 物理学 2020-04-22 Suraj Pawar , Shady E. Ahmed , Omer San , Adil Rasheed

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

Waveform inversion seeks to estimate an inaccessible heterogeneous medium from data gathered by sensors that emit probing signals and measure the generated waves. It is an inverse problem for a second order wave equation or a first order…

数值分析 · 数学 2025-05-15 Liliana Borcea , Josselin Garnier , Alexander V. Mamonov , Jörn Zimmerling

We present an estimator-based control design procedure for flow control, using reduced-order models of the governing equations, linearized about a possibly unstable steady state. The reduced models are obtained using an approximate balanced…

最优化与控制 · 数学 2015-05-13 Sunil Ahuja , Clarence W. Rowley

In this paper, a three-dimensional numerical solver is developed for suspensions of rigid and soft particles and droplets in viscoelastic and elastoviscoplastic (EVP) fluids. The presented algorithm is designed to allow for the first time…

In this paper, we propose a new stabilized projection-based POD-ROM for the numerical simulation of incompressible flows. The new method draws inspiration from successful numerical stabilization techniques used in the context of Finite…

数值分析 · 数学 2019-07-23 Samuele Rubino

We propose an arbitrary Lagrangian-Eulerian (ALE)-consistent machine learning framework for long-term fluid-structure interaction (FSI) prediction on deforming unstructured meshes. Specifically, the fluid dynamics are modeled by a surrogate…

流体动力学 · 物理学 2026-05-05 Shihang Zhao , Martín Saravia , Haokui Jiang , Zhiyang Xue , Shunxiang Cao

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

Deep Learning research is advancing at a fantastic rate, and there is much to gain from transferring this knowledge to older fields like Computational Fluid Dynamics in practical engineering contexts. This work compares state-of-the-art…

计算物理 · 物理学 2020-10-01 Pierre Jacquier , Azzedine Abdedou , Vincent Delmas , Azzeddine Soulaimani

We present a hybrid partitioned deep learning framework for the reduced-order modeling of fluid-structure interaction. Using the discretized Navier-Stokes in the arbitrary Lagrangian-Eulerian reference frame, we generate the full-order flow…

流体动力学 · 物理学 2021-11-02 Rachit Gupta , Rajeev Kumar Jaiman

In the present work, we introduce a data-driven approach to enhance the accuracy of non-intrusive Reduced Order Models (ROMs). In particular, we focus on ROMs built using Proper Orthogonal Decomposition (POD) in an under-resolved and…

数值分析 · 数学 2026-05-26 Gabriele Codega , Anna Ivagnes , Nicola Demo , Gianluigi Rozza
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