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This work extends the framework of the partially-averaged Navier-Stokes (PANS) equations to variable-density flow, \text{i.e.}, multi-material and/or compressible mixing problems with density variations and production of turbulence kinetic…

Fluid Dynamics · Physics 2021-08-11 F. S. Pereira , F. F. Grinstein , D. M. Israel , R. Rauenzahn , S. S. Girimaji

We propose an efficient numerical scheme for the resolution of a non-hydrostatic Saint-Venant type model. The model is a shallow water type approximation of the incompressbile Euler system with free surface and slightly differs from the…

Numerical Analysis · Mathematics 2015-09-15 N. Aissiouene , M. -O. Bristeau , E. Godlewski , J. Sainte-Marie

We prove an estimate of total (viscous plus modelled turbulent) energy dissipation in general eddy viscosity models for shear flows. For general eddy viscosity models, we show that the ratio of the near wall average viscosity to the…

Fluid Dynamics · Physics 2022-10-12 Kiera Kean , William Layton , Michael Schneier

In order to model pressure and viscous terms in the equation for the Lagrangian dynamics of the velocity gradient tensor in turbulent flows, Chevillard & Meneveau (Phys. Rev. Lett. 97, 174501, 2006) introduced the Recent Fluid Deformation…

Chaotic Dynamics · Physics 2010-06-22 Marco Martins Afonso , Charles Meneveau

We present a high-order implicit large eddy simulation (ILES) approach for simulating flows at the nearly incompressible regime. Our methodology based on utilization of a nodal discontinuous Galerkin (DG) discretization of the Boltzmann…

Fluid Dynamics · Physics 2026-01-05 Onur Ata , Atakan Aygun , Tim Warburton , Ali Karakus

In this paper we propose a new modeling framework for large eddy simulations (LES) of particle-laden turbulent flows that captures the interaction between the particle and fluid phase on both the resolved and subgrid-scales. Unlike the vast…

Fluid Dynamics · Physics 2023-10-26 Max Hausmann , Fabien Evrard , Berend van Wachem

Accurate subgrid-scale (SGS) modeling remains a major challenge in large eddy simulation (LES), particularly for wall-bounded turbulent flows with strong near-wall anisotropy. This study proposes a novel SGS model based on Liutex theory,…

Fluid Dynamics · Physics 2025-12-18 Jiawei Chen , Yifei Yu , Chaoqun Liu

In this paper, we present an original derivation process of a non-hydrostatic shallow water-type model which aims at approximating the incompressible Euler and Navier-Stokes systems with free surface. The closure relations are obtained by…

Numerical Analysis · Mathematics 2016-08-24 Marie-Odile Bristeau , Anne Mangeney , Jacques Sainte-Marie , Nicolas Seguin

Traditional 1D system thermal hydraulic analysis has been widely applied in nuclear industry for licensing purposes due to its numerical efficiency. However, such codes are inherently deficient for modeling of multiscale multidimensional…

Fluid Dynamics · Physics 2025-06-24 Arsen S. Iskhakov , Nam T. Dinh , Victor Coppo Leite , Elia Merzari

Modelling fluid turbulence using a `skeleton' of coherent structures has traditionally progressed by focusing on a few canonical laboratory experiments such as pipe flow and Taylor-Couette flow. We here consider the stratified inclined…

Fluid Dynamics · Physics 2024-11-14 Adrien Lefauve , Yui Hin Marvil Cheung , Xianyang Jiang , Miles M. P. Couchman

This work presents the design of nonlinear stabilization techniques for the finite element discretization of Euler equations in both steady and transient form. Implicit time integration is used in the case of the transient form. A…

Numerical Analysis · Mathematics 2020-08-26 Santiago Badia , Jesús Bonilla , Sibusiso Mabuza , John N. Shadid

In 1-equation URANS models of turbulence the eddy viscosity is given by $\nu_{T}=0.55l(x,t)\sqrt{k(x,t)}$ . The length scale $l$ must be pre-specified and $k(x,t)$ is determined by solving a nonlinear partial differential equation. We show…

Numerical Analysis · Mathematics 2023-09-08 Rui Fang , Weiwei Han , William Layton

We study weak solutions of the two-dimensional (2D) filtered Euler equations whose vorticity is a finite Radon measure and velocity has locally finite kinetic energy, which is called the vortex sheet solution. The filtered Euler equations…

Analysis of PDEs · Mathematics 2020-04-07 Takeshi Gotoda

The tuned liquid dampers (TLD) technology is a feasible and cost-effective seismic design. In order to improve its efficiency it is fundamental to find accurate models describing their dynamic. A TLD system can be modeled through the…

Optimization and Control · Mathematics 2021-03-08 Alberta Longhini , Michele Perbellini , Stefano Gottardi , Shenglun Yi , Hao Liu , Mattia Zorzi

Strongly nonlinear models of internal wave propagation for incompressible stratified Euler fluids are investigated numerically and analytically to determine the evolution of a class of initial conditions of interest in laboratory…

Fluid Dynamics · Physics 2017-03-28 Shengqian Chen

Large-eddy simulations of the turbulent flow in a lid-driven cubical cavity have been carried out at a Reynolds number of 12000 using spectral element methods. Two distinct subgrid-scales models, namely a dynamic Smagorinsky model and a…

Fluid Dynamics · Physics 2007-09-04 Roland Bouffanais , Michel O. Deville , Emmanuel Leriche

We investigate the ability of discontinuous Galerkin (DG) methods to simulate under-resolved turbulent flows in large-eddy simulation. The role of the Riemann solver and the subgrid-scale model in the prediction of a variety of flow…

Fluid Dynamics · Physics 2018-10-24 Pablo Fernandez , Ngoc-Cuong Nguyen , Jaime Peraire

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…

Fluid Dynamics · Physics 2023-07-19 Xin-Lei Zhang , Heng Xiao , Solkeun Jee , Guowei He

The dimensionality of turbulence in fluid layers determines their properties. We study electromagnetically driven flows in finite depth fluid layers and show that eddy viscosity, which appears as a result of three-dimensional motions, leads…

Fluid Dynamics · Physics 2010-12-27 M. Shats , D. Byrne , H. Xia

We consider linear feedback flow control of the largest scales in an incompressible turbulent channel flow at a friction Reynolds number of Re$_{\tau}$ = 2000. A linear model is formed by linearizing the Navier-Stokes equations about the…

Fluid Dynamics · Physics 2020-10-20 Stephan F. Oehler , Simon J. Illingworth
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