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The dynamics of the Reynolds stress tensor for turbulent flows is described with an evolution equation coupling both geometric effects and turbulent source terms. The effects of the mean flow geometry are shown up when the source terms are…

经典物理 · 物理学 2017-08-23 Sergey L. Gavrilyuk , Henri Gouin

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

Computational cardiovascular flow modeling plays a crucial role in understanding blood flow dynamics. While 3D models provide acute details, they are computationally expensive, especially with fluid-structure interaction (FSI) simulations.…

流体动力学 · 物理学 2025-01-06 Hunor Csala , Arvind Mohan , Daniel Livescu , Amirhossein Arzani

A stochastic EDQNM approach is used to investigate self-similar decaying isotropic turbulence at high Reynolds number ($400 \leq Re_\lambda \leq 10^4$). The realistic energy spectrum functional form recently proposed by Meyers & Meneveau is…

流体动力学 · 物理学 2013-09-25 Marcello Meldi , Pierre Sagaut , Didier Lucor

The small-scale velocity gradient is connected to fundamental properties of turbulence at the large scales. By neglecting the viscous and nonlocal pressure Hessian terms, we derive a restricted Euler model for the turbulent flow along an…

流体动力学 · 物理学 2025-01-15 Yinghe Qi , Zhenwei Xu , Filippo Coletti

In this study, realizable algebraic Reynolds stress modeling based on the square root tensor [Phys. Rev. E \textbf{92}, 053010 (2015)] is further developed for extending its applicability to more complex flows. In conventional methods, it…

流体动力学 · 物理学 2019-11-13 Kazuhiro Inagaki , Taketo Ariki , Fujihiro Hamba

Eddy-resolving turbulence simulations require stochastic inflow conditions that accurately replicate the complex, multi-scale structures of turbulence. Traditional recycling-based methods rely on computationally expensive precursor…

流体动力学 · 物理学 2024-11-22 Xin-Yang Liu , Meet Hemant Parikh , Xiantao Fan , Pan Du , Qing Wang , Yi-Fan Chen , Jian-Xun Wang

Disentangling the evolution of a coherent mean-flow and turbulent fluctuations, interacting through the non-linearity of the Navier-Stokes equations, is a central issue in fluid mechanics. It affects a wide range of flows, such as planetary…

流体动力学 · 物理学 2018-05-23 Anna Frishman , Corentin Herbert

Inf-sup stable FEM applied to time-dependent incompressible Navier-Stokes flows are considered. The focus lies on robust estimates for the kinetic and dissipation energies in a twofold sense. Firstly, pressure-robustness ensures the…

数值分析 · 数学 2019-04-12 Philipp W. Schroeder , Christoph Lehrenfeld , Alexander Linke , Gert Lube

It has been demonstrated that the Euler equations of inviscid fluid are incomplete: according to the principle of release of constraints, absence of shear stresses must be compensated by additional degrees of freedom, and leads to…

流体动力学 · 物理学 2012-08-31 Michail Zak

The use of emergent constraints to quantify uncertainty for key policy relevant quantities such as Equilibrium Climate Sensitivity (ECS) has become increasingly widespread in recent years. Many researchers, however, claim that emergent…

应用统计 · 统计学 2020-02-19 Daniel B. Williamson , Philip G. Sansom

We consider a test problem for Navier-Stokes solvers based on the flow around a cylinder that exhibits chaotic behavior, to examine the behavior of various numerical methods. We choose a range of Reynolds numbers for which the flow is…

数值分析 · 数学 2024-08-19 Henry von Wahl , L. Ridgway Scott

We propose a framework for developing wall models for large-eddy simulation that is able to capture pressure-gradient effects using multi-agent reinforcement learning. Within this framework, the distributed reinforcement learning agents…

流体动力学 · 物理学 2024-07-29 Di Zhou , H. Jane Bae

Serrations are commonly employed to mitigate the turbulent boundary layer trailing-edge noise. However, significant discrepancies persist between model predictions and experimental observations. In this paper, we show that this results from…

流体动力学 · 物理学 2023-12-27 Haopeng Tian , Benshuai Lyu

The transformative impact of machine learning, particularly Deep Learning (DL), on scientific and engineering domains is evident. In the context of computational fluid dynamics (CFD), Physics-Informed Neural Networks (PINNs) represent a…

流体动力学 · 物理学 2024-04-05 Siddharth Raghu , Rajdip Nayek , Vamsi Chalamalla

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

The connection between anomalous scaling of structure functions (intermittency) and numerical methods for turbulence simulations is discussed. It is argued that the computational work for direct numerical simulations (DNS) of fully…

混沌动力学 · 物理学 2009-11-11 Victor Yakhot , Katepalli R. Sreenivasan

In light of the challenges surrounding convergence and error propagation encountered in Reynolds-averaged Navier-Stokes (RANS) equations with data-driven Reynolds stress closures, researchers commonly attribute these issues to…

流体动力学 · 物理学 2024-05-07 Xianglin Shan , Wenbo Cao , Weiwei Zhang

In the turbulence modeling community, significant efforts have been made to quantify the uncertainties in the Reynolds-Averaged Navier--Stokes (RANS) models and to improve their predictive capabilities. Of crucial importance in these…

流体动力学 · 物理学 2017-10-11 Heng Xiao , Jin-Long Wu , Jian-xun Wang , Eric G. Paterson

Numerical simulation of fluids plays an essential role in modeling many physical phenomena, such as weather, climate, aerodynamics and plasma physics. Fluids are well described by the Navier-Stokes equations, but solving these equations at…

流体动力学 · 物理学 2022-04-27 Dmitrii Kochkov , Jamie A. Smith , Ayya Alieva , Qing Wang , Michael P. Brenner , Stephan Hoyer