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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 work, we present a localized form of the dynamic eddy viscosity model for computationally efficient and accurate simulation of the turbulent flows governed by Euler equations. In our framework, we determine the dynamic model…

流体动力学 · 物理学 2018-10-04 Sk. Mashfiqur Rahman , Omer San

A novel reduced order model (ROM) for incompressible flows is developed by performing a Galerkin projection based on a fully (space and time) discrete full order model (FOM) formulation. This 'discretize-then-project' approach requires no…

流体动力学 · 物理学 2021-03-25 Sabrina Kelbij Star , Benjamin Sanderse , Giovanni Stabile , Gianluigi Rozza , Joris Degroote

A new methodology based on energy flux similarity is suggested in this paper for large eddy simulation (LES) of transitional and turbulent flows. Existing knowledge reveals that the energy cascade generally exists in transitional and…

流体动力学 · 物理学 2019-10-31 Han Qi , Xinliang Li , Hao Zhou , Changping Yu

The purpose of this work is to present a reduced order modeling framework for parametrized turbulent flows with moderately high Reynolds numbers within the variational multiscale (VMS) method. The Reduced Order Models (ROMs) presented in…

数值分析 · 数学 2023-08-08 Giovanni Stabile , Francesco Ballarin , Giacomo Zuccarino , Gianluigi Rozza

This article presents and assesses a framework for estimating temperature fields in real time for food-freezing applications, significantly reducing computational load while ensuring accurate temperature monitoring, which represents a…

数值分析 · 数学 2025-06-03 Felipe Galarce , Diego Rivera , Douglas Pacheco , Alfonso Caiazzo , Ernesto Castillo

We propose a new data-driven reduced order model (ROM) framework that centers around the hierarchical structure of the variational multiscale (VMS) methodology and utilizes data to increase the ROM accuracy at a modest computational cost.…

数值分析 · 数学 2020-10-28 Changhong Mou , Birgul Koc , Omer San , Leo G. Rebholz , Traian Iliescu

In this work we introduce a computational framework for determining optimal closures of the eddy-viscosity type for Large-Eddy Simulations (LES) of a broad class of PDE models, such as the Navier-Stokes equation. This problem is cast in…

流体动力学 · 物理学 2020-03-12 Pritpal Matharu , Bartosz Protas

The study of flow in fractured porous media is a key ingredient for many geoscience applications, such as reservoir management and geothermal energy production. Modelling and simulation of these highly heterogeneous and geometrically…

数值分析 · 数学 2022-12-28 Davide Losapio , Anna Scotti

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

Simulations of complex turbulent flow are part and parcel of the engineering design process. Eddy viscosity based turbulence models represent the workhorse for these simulations. The underlying simplifications in eddy viscosity models make…

流体动力学 · 物理学 2024-05-15 Minghan Chu , Weicheng Qian

Large Language Diffusion Models (LLDMs) benefit from a flexible decoding mechanism that enables parallelized inference and controllable generations over autoregressive models. Yet such flexibility introduces a critical challenge: inference…

机器学习 · 计算机科学 2025-12-05 Yichuan Mo , Quan Chen , Mingjie Li , Zeming Wei , Yisen Wang

We introduce improved Reduced Order Models (ROM) for convection-dominated flows. These non-linear closure models are inspired from successful numerical stabilization techniques used in Large Eddy Simulations (LES), such as Local Projection…

数值分析 · 数学 2017-11-28 Mejdi Azaïez , Tomás Chacón Rebollo , Samuele Rubino

We investigate eddy-viscosity distributions in pressure-driven wall turbulence for three canonical configurations: plane closed-channel flow, open-channel flow with a free-slip surface, and pipe flow. Using direct numerical simulation (DNS)…

流体动力学 · 物理学 2026-04-13 Ben-Rui Xu , Ao Xu

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

Fractional-order stochastic gradient descent (FOSGD) leverages fractional exponents to capture long-memory effects in optimization. However, its utility is often limited by the difficulty of tuning and stabilizing these exponents. We…

机器学习 · 计算机科学 2025-05-07 Mohammad Partohaghighi , Roummel Marcia , YangQuan Chen

We propose a Proper Orthogonal Decomposition (POD)-Galerkin based Reduced Order Model (ROM) for a Leray model. For the implementation of the model, we combine a two-step algorithm called Evolve-Filter (EF) with a computationally efficient…

数值分析 · 数学 2021-04-14 Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

LiDAR odometry can achieve accurate vehicle pose estimation for short driving range or in small-scale environments, but for long driving range or in large-scale environments, the accuracy deteriorates as a result of cumulative estimation…

机器人学 · 计算机科学 2023-03-16 Lizhou Liao , Chunyun Fu , Binbin Feng , Tian Su

Neural network-based turbulence modeling has gained significant success in improving turbulence predictions by incorporating high--fidelity data. However, the interpretability of the learned model is often not fully analyzed, which has been…

流体动力学 · 物理学 2023-07-19 Xin-Lei Zhang , Heng Xiao , Solkeun Jee , Guowei He

Over the last two decades, both experiments and simulations have demonstrated that transverse wall oscillations with properly selected amplitude and frequency can reduce turbulent drag by as much as 40%. In this paper, we develop a…

流体动力学 · 物理学 2013-04-23 Rashad Moarref , Mihailo R. Jovanović