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A multilevel Monte Carlo (MLMC) method for quantifying model-form uncertainties associated with the Reynolds-Averaged Navier-Stokes (RANS) simulations is presented. Two, high-dimensional, stochastic extensions of the RANS equations are…

计算物理 · 物理学 2018-11-05 Prashant Kumar , Martin Schmelzer , Richard P. Dwight

Chaotic dynamical systems such as turbulent flows are characterized by an exponential divergence of infinitesimal perturbations to initial conditions. Therefore, conventional adjoint/tangent sensitivity analysis methods that are successful…

计算工程、金融与科学 · 计算机科学 2019-03-01 Nisha Chandramoorthy , Zhong-Nan Wang , Qiqi Wang , Paul Tucker

Traffic forecasting requires modeling complex temporal dynamics and long-range spatial dependencies over large sensor networks. Existing methods typically face a trade-off between expressiveness and efficiency: Transformer-based models…

机器学习 · 计算机科学 2026-04-16 Xinjin Li , Jinghan Cao , Mengyue Wang , Yue Wu , Longxiang Yan , Yeyang Zhou , Ziqi Sha , Yu Ma

While deep learning has shown tremendous success in a wide range of domains, it remains a grand challenge to incorporate physical principles in a systematic manner to the design, training, and inference of such models. In this paper, we aim…

计算物理 · 物理学 2020-06-16 Rui Wang , Karthik Kashinath , Mustafa Mustafa , Adrian Albert , Rose Yu

Advanced measurement techniques and high performance computing have made large data sets available for a wide range of turbulent flows that arise in engineering applications. Drawing on this abundance of data, dynamical models can be…

流体动力学 · 物理学 2020-05-06 Armin Zare , Tryphon T. Georgiou , Mihailo R. Jovanović

Numerical simulations based on Reynolds-Averaged Navier--Stokes (RANS) equations are widely used in engineering design and analysis involving turbulent flows. However, RANS simulations are known to be unreliable in many flows of engineering…

流体动力学 · 物理学 2017-09-19 Jinlong Wu , Rui Sun , Sylvain Laizet , Heng Xiao

Predictive simulation of many complex flows requires moving beyond Reynolds-averaged Navier-Stokes (RANS) based models to representations resolving at least some scales of turbulence in at least some regions of the flow. To resolve…

流体动力学 · 物理学 2018-12-11 Sigfried Haering , Todd A. Oliver , Robert D. Moser

Prediction is a classic challenge in spatial statistics and the inclusion of spatial covariates can greatly improve predictive performance when incorporated into a model with latent spatial effects. It is desirable to develop flexible…

统计方法学 · 统计学 2025-02-24 Alex Ziyu Jiang , Jon Wakefield

Reynolds-averaged Navier-Stokes simulations are still the main method to study complex flows in engineering. However, traditional turbulence models cannot accurately predict flow fields with separations. In such situation, machine learning…

流体动力学 · 物理学 2022-02-02 Yilang Liu , Weiwei Zhang , Zhenhua Xia

Patient-specific modeling of cardiovascular flows with high-fidelity is challenging due to its dependence on accurately estimated velocity boundary profiles, which are essential for precise simulations and directly influence wall shear…

Numerical models based on Reynolds-Averaged Navier-Stokes (RANS) equations are widely used in engineering turbulence modeling. However, the RANS predictions have large model-form uncertainties for many complex flows. Quantification of these…

计算物理 · 物理学 2017-01-25 Jian-Xun Wang , Rui Sun , Heng Xiao

Accurate and timely traffic flow forecasting is crucial for intelligent transportation systems. This paper presents a novel deep learning model, the Spatial-Temporal Unified Graph Attention Network (STGAtt). By leveraging a unified graph…

机器学习 · 计算机科学 2025-08-26 Zhuding Liang , Jianxun Cui , Qingshuang Zeng , Feng Liu , Nenad Filipovic , Tijana Geroski

The problem of classifying turbulent environments from partial observation is key for some theoretical and applied fields, from engineering to earth observation and astrophysics, e.g. to precondition searching of optimal control policies in…

流体动力学 · 物理学 2022-10-19 Michele Buzzicotti , Fabio Bonaccorso

Data-driven methods have demonstrated strong predictive capabilities in fluid mechanics, yet most current applications still focus on simplified configurations, often characterised by statistical stationarity or limited temporal…

流体动力学 · 物理学 2025-11-21 Miguel M. Valero , Marcello Meldi

We present a data-driven framework for turbulence modeling, applied to flow prediction in the FDA nozzle. In this study, the standard RANS equations have been modified using an implicit-explicit hybrid approach. New variables were…

流体动力学 · 物理学 2025-10-02 Hossein Geshani , Mehrdad Raisee Dehkordi , Masoud Shariat Panahi

Modeled Reynolds stress is a major source of model-form uncertainties in Reynolds-averaged Navier-Stokes (RANS) simulations. Recently, a physics-informed machine-learning (PIML) approach has been proposed for reconstructing the…

流体动力学 · 物理学 2021-07-23 Jian-Xun Wang , Junji Huang , Lian Duan , Heng Xiao

Generalisability and the consistency of the a posteriori results are the most critical points of view regarding data-driven turbulence models. This study presents a progressive improvement of turbulence models using simulation-driven…

流体动力学 · 物理学 2025-03-26 M. J. Rincón , A. Amarloo , M. Reclari , X. I. A. Yang , M. Abkar

In typical nature and engineering scenarios, such as supernova explosion and inertial confinement fusion, mixing flows induced by hydrodynamics interfacial instabilities are essentially compressible. Despite their significance, accurate…

流体动力学 · 物理学 2025-06-23 Hansong Xie , Tengfei Luo , Yaomin Zhao , Yousheng Zhang , Jianchun Wang

Quantifying forecast uncertainty is a key aspect of state-of-the-art numerical weather prediction and data assimilation systems. Ensemble-based data assimilation systems incorporate state-dependent uncertainty quantification based on…

大气与海洋物理 · 物理学 2023-05-17 Maximiliano A. Sacco , Manuel Pulido , Juan J. Ruiz , Pierre Tandeo

A convolutional encoder-decoder-based transformer model is proposed for autoregressively training on spatio-temporal data of turbulent flows. The prediction of future fluid flow fields is based on the previously predicted fluid flow field…

流体动力学 · 物理学 2023-03-31 Aakash Patil , Jonathan Viquerat , Elie Hachem