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Most turbulence models used in Reynolds-averaged Navier-Stokes (RANS) simulations are partial differential equations (PDE) that describe the transport of turbulent quantities. Such quantities include turbulent kinetic energy for eddy…

流体动力学 · 物理学 2022-02-18 Ruiying Xu , Xu-Hui Zhou , Jiequn Han , Richard P. Dwight , Heng Xiao

In recent years, machine learning methods represented by deep neural networks (DNN) have been a new paradigm of turbulence modeling. However, in the scenario of high Reynolds numbers, there are still some bottlenecks, including the lack of…

流体动力学 · 物理学 2022-11-02 Z. Y. Wang , W. W. Zhang

Using limited observations of the velocity field of the two-dimensional Navier-Stokes equations, we successfully reconstruct the steady body force that drives the flow. The number of observed data points is less than 10\% of the number of…

流体动力学 · 物理学 2024-02-26 Aseel Farhat , Adam Larios , Vincent R. Martinez , Jared P. Whitehead

Physics-informed neural networks (PINNs) provide a framework to build surrogate models for dynamical systems governed by differential equations. During the learning process, PINNs incorporate a physics-based regularization term within the…

机器学习 · 计算机科学 2023-08-14 Shinjan Ghosh , Amit Chakraborty , Georgia Olympia Brikis , Biswadip Dey

A machine-learned (ML) model is developed to enhance the accuracy of turbulence transport equations of Reynolds Averaged Navier Stokes (RANS) solver and applied for periodic hill test case, which involves complex flow regimes, such as…

流体动力学 · 物理学 2023-05-24 Shanti Bhushan , Greg W. Burgreen , Wesley Brewer , Ian D. Dettwiller

This study presents a novel approach for enhancing Reynolds-averaged Navier-Stokes (RANS) turbulence modeling through the application of a Relative Importance Term Analysis (RITA) methodology to develop a new zonally-augmented $k-\omega$…

流体动力学 · 物理学 2025-11-26 Tyler Buchanan , Monica Lăcătuş , Alastair West , Richard P. Dwight

In this article, we propose a methodology to reconstruct, in a single step, the mean- and unsteady properties of a flow from very few time-resolved measurements. The procedure is based on the {\it a priori} alignement of Fourier- and…

流体动力学 · 物理学 2021-02-09 Lucas Franceschini , Denis Sipp , Olivier Marquet

We present a data-driven approach to Reynolds-averaged Navier-Stokes turbulence closure modelling in magnetohydrodynamic (MHD) flows. In these flows the magnetic field interacting with the conductive fluid induces unconventional turbulence…

Data-driven turbulence modeling studies have reached such a stage that the fundamental framework is basically settled, but several essential issues remain that strongly affect the performance, including accuracy, smoothness, and…

流体动力学 · 物理学 2022-09-21 Yuhui Yin , Yufei Zhang , Haixin Chen , Song Fu

In the present paper a new data-driven model is proposed to close and increase accuracy of RANS equations. The divergence of the Reynolds Stress Tensor (RST) is obtained through a Neural Network (NN) whose architecture and input choice…

流体动力学 · 物理学 2022-10-19 Stefano Berrone , Davide Oberto

By analogy with the kinetic theory of gases, most turbulence modeling strate- gies rely on an eddy viscosity to model the unresolved turbulent fluctuations. How- ever, the ratio of unresolved to resolved scales - very much like a degree of…

流体动力学 · 物理学 2016-08-24 Marcello Righi

Reynolds-averaged Navier-Stokes (RANS) is one of the most cost-efficient approaches to simulate wind-farm-atmosphere interactions. However, the applicability of RANS-based methods is always limited by the accuracy of turbulence closure…

流体动力学 · 物理学 2021-12-08 Ali Eidi , Reza Ghiassi , Xiang Yang , Mahdi Abkar

A maintenance mechanism of an approximately linear velocity profile of the Venus zonal flow or superrotation is explored, with the aid of a Reynolds-averaged turbulence modeling approach. The basic framework is similar to that of Gierasch…

地球与行星天体物理 · 物理学 2013-08-08 Akira Yoshizawa , Hiromichi Kobayashi , Norihiko Sugimoto , Nobumitsu Yokoi , Yutaka Shimomura

Direct numerical simulation (DNS) is very accurate however, the computational cost increases significantly with the increase in Reynolds number. On the other hand, we have the Reynolds Averaged Navier Stokes (RANS) method for simulating…

流体动力学 · 物理学 2023-01-12 Manthan Mahajan , Nitin Kumar , Deep Shikha , Vamsi K Chalamalla , Sawan S Sinha

We investigate how the rotational nature of turbulence affects learned mappings between quantities governed by the Navier-Stokes equations. By varying the degree of anisotropy in a turbulence dataset, we explore how statistical symmetry…

The volume of fluid (VOF) method is increasingly used in computational fluid dynamics (CFD) simulations of turbulent two-phase flows. The Reynolds-Averaged Navier-Stokes (RANS) approach is an economic and practical way for turbulent VOF…

计算物理 · 物理学 2019-11-25 Wenyuan Fan , Henryk Anglart

Mathematical models in computational physics contain uncertain parameters that impact prediction accuracy. In turbulence modeling, this challenge is especially significant: Reynolds averaged Navier-Stokes (RANS) models, such as the…

统计方法学 · 统计学 2025-10-22 Sanjan C. Muchandimath , Joaquim R. R. A. Martins , Alex A. Gorodetsky

Data-driven turbulence modeling has been considered an effective method for improving the prediction accuracy of Reynolds-averaged Navier-Stokes equations. Related studies aimed to solve the discrepancy of traditional turbulence modeling by…

流体动力学 · 物理学 2020-10-19 Yuhui Yin , Pu Yang , Yufei Zhang , Haixin Chen , Song Fu

Use of appropriate initialization to warm-start Reynolds-averaged Navier-Stokes (RANS) simulations of turbulent flow can facilitate convergence and lead to efficient use of computational resources. In this work, a method to model downstream…

流体动力学 · 物理学 2025-01-27 Kazuko W. Fuchi , Eric M. Wolf , Christopher R. Schrock , Philip S. Beran

Physics-informed neural networks (PINNs) have emerged as a promising framework for solving inverse problems governed by partial differential equations (PDEs), including the reconstruction of turbulent flow fields from sparse data. However,…

机器学习 · 计算机科学 2026-04-21 Khemraj Shukla , Zongren Zou , Theo Kaeufer , Michael Triantafyllou , George Em Karniadakis