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相关论文: A hybrid reduced-order model for segregated fluid-…

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Reduced Order Models (ROMs) have been regarded as an efficient alternative to conventional high-fidelity Computational Fluid Dynamics (CFD) for accelerating the design and optimization processes in engineering applications. Many industrial…

数值分析 · 数学 2026-01-15 Shenhui Ruan , Andreas G. Class , Gianluigi Rozza

Spatial filtering has been central in the development of large eddy simulation reduced order models (LES-ROMs) and regularized reduced order models (Reg-ROMs), In this paper, we perform a numerical investigation of spatial filtering. To…

数值分析 · 数学 2017-07-14 L. C. Berselli , D. Wells , X. Xie , T. Iliescu

We perform a theoretical and numerical investigation of the time-average of energy exchange among modes of Reduced Order Models (ROMs) of fluid flows. We are interested in the statistical equilibrium problem, and especially in the possible…

偏微分方程分析 · 数学 2019-01-16 Luigi C. Berselli , Traian Iliescu , Birgul Koc , Roger Lewandowski

We develop an on-the-fly reduced-order model (ROM) integrated with a flow simulation, gradually replacing a corresponding full-order model (FOM) of a physics solver. Unlike offline methods requiring a separate FOM-only simulation prior to…

流体动力学 · 物理学 2023-12-01 Seung Won Suh , Seung Whan Chung , Peer-Timo Bremer , Youngsoo Choi

Reduced order models (ROMs) are inexpensive surrogate models that reduce costs associated with many-query scenarios. Current methods for constructing entropy stable ROMs for nonlinear conservation laws utilize full order models (FOMs) based…

数值分析 · 数学 2025-12-24 Ray Qu , Akil Narayan , Jesse Chan

In this paper we propose a Bayesian method as a numerical way to correct and stabilise projection-based reduced order models (ROM) in computational fluid dynamics problems. The approach is of hybrid type, and consists of the classical…

数值分析 · 数学 2019-11-19 Giovanni Stabile , Bojana Rosic

We present a novel second-order semi-implicit hybrid finite volume / finite element (FV/FE) scheme for the numerical solution of the incompressible and weakly compressible Navier-Stokes equations on moving unstructured meshes using an…

数值分析 · 数学 2023-01-24 Saray Busto , Michael Dumbser , Laura Río-Martín

We develop a Proper Orthogonal Decomposition (POD)-Galerkin based Reduced Order Model (ROM) for the efficient numerical simulation of the parametric Navier-Stokes equations in the stream function-vorticity formulation. Unlike previous…

数值分析 · 数学 2022-01-04 Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

This article provides a reduced-order modelling framework for turbulent compressible flows discretized by the use of finite volume approaches. The basic idea behind this work is the construction of a reduced-order model capable of providing…

流体动力学 · 物理学 2024-05-31 Matteo Zancanaro , Valentin Nkana Ngan , Giovanni Stabile , Gianluigi Rozza

In this paper, we propose hybrid data-driven ROM closures for fluid flows. These new ROM closures combine two fundamentally different strategies: (i) purely data-driven ROM closures, both for the velocity and the pressure; and (ii)…

数值分析 · 数学 2022-12-27 Anna Ivagnes , Giovanni Stabile , Andrea Mola , Traian Iliescu , Gianluigi Rozza

Many Hamiltonian systems can be recast in multi-symplectic form. We develop a reduced-order model (ROM) for multi-symplectic Hamiltonian partial differential equations (PDEs) that preserves the global energy. The full-order solutions are…

数值分析 · 数学 2022-08-30 Murat Uzunca , Bülent Karasözen , Ayhan Aydın

This paper proposes a semi-implicit arbitrary Lagrangian-Eulerian (ALE) method for the solution of the unified Godunov-Peshkov-Romenski (GPR) model of continuum mechanics. To handle the curl free involutions arising in the solid limit of…

数值分析 · 数学 2025-12-04 Saray Busto

We propose an efficient hyper-reduced order model (HROM) designed for segregated finite-volume solvers in geometrically parametrized problems. The method follows a discretize-then-project strategy: the full-order operators are first…

数值分析 · 数学 2026-01-13 Valentin Nkana Ngan , Giovanni Stabile , Andrea Mola , Gianluigi Rozza

Motivated by the design of deterministic lateral displacement (DLD) microfluidic devices, we develop a high-order numerical framework for fluid-rigid-body interaction on fitted moving meshes. Rigid-body motion is enforced by a distributed…

数值分析 · 数学 2026-02-10 Qi Xin , Shihua Gong , Lingyue Shen , Pinjing Wen , Yumiao Zhang , Yan Chen , Jiarui Han , Jinchao Xu

Reduced-order models (ROMs) that capture changes in fluid systems due to variations in parameters, such as the Reynolds number or the shape of a stationary body placed in the flow, are attracting increasing attention in engineering…

流体动力学 · 物理学 2025-12-16 Yuto Nakamura , Shintaro Sato , Naofumi Ohnishi

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

We propose a calibrated filtered reduced order model (CF-ROM) framework for the numerical simulation of general nonlinear PDEs that are amenable to reduced order modeling. The novel CF-ROM framework consists of two steps: (i) In the first…

数值分析 · 数学 2017-02-23 X. Xie , M. Mohebujjaman , L. G. Rebholz , T. Iliescu

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

We present a Reduced Order Model (ROM) which exploits recent developments in Physics Informed Neural Networks (PINNs) for solving inverse problems for the Navier--Stokes equations (NSE). In the proposed approach, the presence of simulated…

流体动力学 · 物理学 2022-09-08 Saddam Hijazi , Melina Freitag , Niels Landwehr

The complexity of the cardiovascular system needs to be accurately reproduced in order to promptly acknowledge health conditions; to this aim, advanced multifidelity and multiphysics numerical models are crucial. On one side, Full Order…