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This paper presents a Weakly Compressible Smoothed Particle Hydrodynamics (WCSPH) method for solving the two-equation Reynolds-Averaged Navier-Stokes (RANS) model. The turbulent wall-bounded flow with or without mild flow separation, a…

流体动力学 · 物理学 2025-01-31 Feng Wang , Zhongguo Sun , Xiangyu Hu

For large Reynolds number flows, it is typically necessary to perform simulations that are under-resolved with respect to the underlying flow physics. For nodal discontinuous spectral element approximations of these under-resolved flows,…

数值分析 · 数学 2024-01-02 Tarik Dzanic , Will Trojak , Freddie D. Witherden

The importance of nonlocality is assessed in modeling mean scalar transport for turbulent Rayleigh-Taylor (RT) mixing at different Atwood numbers. Building on the two-dimensional incompressible work of Lavacot et al. (2024, JFM), the…

流体动力学 · 物理学 2025-11-04 Dana Lynn Ona-Lansigan Lavacot , Ali Mani , Brandon E. Morgan

A data-driven framework for formulation of closures of the Reynolds-Average Navier--Stokes (RANS) equations is presented. In recent years, the scientific community has turned to machine learning techniques to distill a wealth of highly…

流体动力学 · 物理学 2020-09-02 S. Beetham , J. Capecelatro

We consider a Leray model with a nonlinear differential low-pass filter for the simulation of incompressible fluid flow at moderately large Reynolds number (in the range of a few thousands) with under-refined meshes. For the implementation…

数值分析 · 数学 2024-12-20 Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

The primary goal of this paper is to develop robust methods to handle two ubiquitous features appearing in the modeling of geophysical flows: (i) the anisotropy of the viscous stress tensor, (ii) stratification effects. We focus on the…

偏微分方程分析 · 数学 2020-11-05 Edoardo Bocchi , Francesco Fanelli , Christophe Prange

Despite a cost-effective option in practical engineering, Reynolds-averaged Navier-Stokes simulations are facing the ever-growing demand for more accurate turbulence models. Recently, emerging machine learning techniques are making…

流体动力学 · 物理学 2021-05-04 Chao Jiang

We consider a test problem for Navier-Stokes solvers based on the flow around a cylinder at Reynolds numbers 500 and 1000, where the solution is observed to be periodic when the problem is sufficiently resolved. Computing the resulting flow…

数值分析 · 数学 2025-07-15 Henry von Wahl , Leo G. Rebholz , L. Ridgway Scott

Hypersonic flow conditions pose exceptional challenges for Reynolds-Averaged Navier-Stokes (RANS) turbulence modeling. Critical phenomena include compressibility effects, shock/turbulent boundary layer interactions, turbulence-chemistry…

流体动力学 · 物理学 2025-04-30 Pratikkumar Raje , Eric Parish , Jean-Pierre Hickey , Paola Cinnella , Karthik Duraisamy

Deep learning (DL)-based Reynolds stress with its capability to leverage values of large data can be used to close Reynolds-averaged Navier-Stoke (RANS) equations. Type I and Type II machine learning (ML) frameworks are studied to…

流体动力学 · 物理学 2022-07-28 Chih-Wei Chang , Nam T. Dinh

It is well known that the Boussinesq turbulent viscosity hypothesis can yield inaccurate predictions when complex f low features are involved, e.g. laminar-turbulent transition. The focus of the study is to explore the capability of a…

流体动力学 · 物理学 2022-08-01 Minghan Chu , Xiaohua Wu , David E. Rival

We propose the viscous Camassa-Holm equations as a closure approximation for the Reynolds-averaged equations of the incompressible Navier-Stokes fluid. This approximation is tested on turbulent channel flows with steady mean. Analytical…

chao-dyn · 物理学 2009-10-31 Shiyi Chen , Ciprian Foias , Darryl D. Holm , Eric Olson , Edriss S. Titi , Shannon Wynne

We study the error scaling properties of large-eddy simulation (LES) in the outer region of wall-bounded turbulence at moderately high Reynolds numbers. In order to avoid the additional complexity of wall-modeling, we perform LES of…

流体动力学 · 物理学 2021-10-26 Adrián Lozano-Durán , Hyunji Jane Bae

It is necessary to introduce an external forcing to induce turbulence in a stably stratified fluid. The Heisenberg eddy viscosity technique should in this case suffice to calculate a space-time averaged quantity like the global anisotropy…

流体动力学 · 物理学 2020-01-08 Jayanta K. Bhattacharjee , Abhishek Kumar , Mahendra K. Verma

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

In this article, we utilize machine learning to dynamically determine if a point on the computational grid requires implicit numerical dissipation for large eddy simulation (LES). The decision making process is learnt through \emph{a…

流体动力学 · 物理学 2019-02-07 Romit Maulik , Omer San , Jamey D Jacob

Despite their well-known limitations, Reynolds-Averaged Navier-Stokes (RANS) models are still the workhorse tools for turbulent flow simulations in today's engineering application. For many practical flows, the turbulence models are by far…

计算物理 · 物理学 2018-09-11 H. Xiao , J. -L. Wu , J. -X. Wang , R. Sun , C. J. Roy

Recent advances in velocity and temperature transformations have enabled recovery of the law of the wall in compressible wall-bounded turbulent flows. Building on this foundation, a flux-controlled wall model (FCWM) for Large Eddy…

流体动力学 · 物理学 2025-12-29 Youjie Xu , Steffen J. Schmidt , Nikolaus A. Adams

In this article we examine channel flow subject to spatially varying viscosity in the streamwise direction. The Reynolds number is imposed locally with three different ramps. The setup is reminiscent of transient channel flow, but with a…

流体动力学 · 物理学 2020-06-11 Victor Coppo Leite , Elia Merzari

This study proposes a global similarity correction for Reynolds-averaged Navier--Stokes (RANS) modeling of buoyancy effects in unstably stratified flows. Conventional two-equation RANS models (e.g., the $k$-$\varepsilon$ model) lack a clear…

流体动力学 · 物理学 2025-03-14 Da-Sol Joo
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