Article
Mechanics
Yuri V. Lvov, Victor S. L'vov
Summary: The researchers used the Dyson-Wyld diagrammatic technique to analyze the infinite series for the correlation functions of velocity in hydrodynamic turbulence. They found that the triple correlator of velocity plays a fundamental role in determining the statistical characteristics of the turbulence. All higher-order correlation functions can be expressed through the triple correlator. The study also showed that the suggested triangular re-summation of the infinite diagrammatic series can explain why the inverse cascade of two-dimensional hydrodynamic turbulence is close to Gaussian, supporting the idea that the flux of energy is one of the main characteristics of hydrodynamic turbulence, as proposed by Kolmogorov in 1941.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Mechanics
Jianghong Zhang, Gang Sun, Junjie Hu, Jian Wu, Maosen Xu
Summary: The presence of internal obstacles in square cavities significantly affects the flow and motion of solid particles. The motion of neutrally buoyant circular particles in a cavity with a circular obstacle was studied, considering factors such as obstacle size, location, initial particle position, and Reynolds number. The results show that the presence of obstacles alters the flow patterns, and the motion of particles is influenced by the Reynolds number.
Article
Mechanics
Leonie Canet
Summary: Turbulence is a complex phenomenon that is difficult to describe using fundamental equations. The use of the renormalisation group (RG), specifically the functional renormalisation group (FRG), has enabled the study of turbulence by providing effective theories. The FRG method allows for the systematic and accurate description of turbulence properties, such as the energy spectrum and correlation functions. This article provides an introduction to the FRG method and discusses its application in understanding turbulence.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Multidisciplinary Sciences
Theodore D. Drivas
Summary: A defining feature of three-dimensional hydrodynamic turbulence is the bounded energy dissipation and the persistent power-law scaling of velocity structure functions. Experimental results show that turbulence retains some fractional differentiability uniformly in the Reynolds number and exhibits singularity required for sustaining anomalous dissipation. The Kolmogorov 4/5-law provides a regularization mechanism for inertial dissipation.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Article
Mechanics
Niklas Fehn, Martin Kronbichler, Peter Munch, Wolfgang A. Wall
Summary: This study contributes to the investigation of the well-known energy dissipation anomaly in inviscid limit by conducting high-resolution numerical simulations of the three-dimensional Taylor-Green vortex problem. The interesting observation is made that the kinetic energy evolution does not tend towards exact energy conservation as the spatial resolution of numerical scheme increases. This raises the question of whether the results obtained can be seen as a numerical confirmation of the famous energy dissipation anomaly and elaborates on an indirect approach for the identification of finite-time singularities based on energy arguments.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Engineering, Aerospace
Aviral Prakash, Kenneth E. Jansen, John A. Evans
Summary: This article proposes an alternative strategy called optimal clipping to address the issue of model backscatter in structural subgrid stress models. By solving a constrained minimization problem, the optimal clipping procedure removes the model backscatter from model predictions, resulting in higher correlation between the predicted and exact subgrid stresses compared to traditional clipping. A series of tests showed that optimal clipping significantly improves model predictions compared to the traditional clipping procedure.
Article
Engineering, Multidisciplinary
Mustafa Aggul, Alexander E. Labovsky, Kyle J. Schwiebert
Summary: This paper proposes a method to address the fluid-fluid interaction problem, where two flows are coupled through a nonlinear rigid lid condition, and one or both flows have high Reynolds numbers. The model combines the NS-omega turbulence model with a partitioning method, allowing for efficient decoupling, usage of preexisting solvers, and resolving high Reynolds number flows. The model is unconditionally stable and has optimal convergence properties. It also allows for non-filtered velocity in the interface terms, which improves the quality of the model's solution.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mathematics, Applied
Stavros Papathanasiou
Summary: The paper aims to rigorously derive local versions of the 4/5 and 4/3 laws of hydrodynamic turbulence in bounded domains using martingale solutions and nonlinear fluxes. The precompactness assumption allows for this derivation and also produces stationary martingale solutions of the Euler equations in the vanishing viscosity limit.
Article
Mechanics
Chuong V. Tran, Xinwei Yu, David G. Dritschel
Summary: Incompressible fluid flows are characterized by high correlations between velocity and pressure, as well as between vorticity and pressure. This correlation plays a significant role in maintaining regularity in Navier-Stokes flows. The study suggests that as long as global pressure minimum (or minima) and velocity maximum (or maxima) are mutually exclusive, regularity is likely to persist.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mathematics, Applied
Yanqing Wang, Yulin Ye
Summary: In this paper, an energy conservation criterion is derived for weak solutions of both the incompressible and compressible Navier-Stokes equations. The criterion is based on a combination of velocity and its gradient. For the incompressible case, it extends known results on periodic domain, including the famous Lions' energy conservation criterion. For the compressible case, it improves recent results and extends criteria for energy conservation from incompressible to compressible flow.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Physics, Multidisciplinary
Martin Machacek
Summary: In this paper, we present a method for calculating the invariant measure of hydrodynamical systems describing incompressible viscous fluid flow in a bounded 3D volume. We transform the Navier-Stokes equations into a simple system of ordinary differential equations and prove the existence and uniqueness of the invariant measure. We also suggest methods for numerically solving the resulting system of linear algebraic equations. The proposed method is illustrated using cylindrical pipe flow.
Article
Mechanics
Sparsh Ganju, Sean C. C. Bailey, Christoph Brehm
Summary: Direct numerical simulations are used to investigate incompressible turbulent channel flow over smooth and sinusoidal roughness walls. The study examines the effects of roughness amplitude and wavelength on the flow, and finds that the interaction between the shear layer and roughness significantly influences the flow.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
Jianyu Wang, Guojian He, Subhasish Dey, Hongwei Fang
Summary: This study investigated the interaction between flow and submerged flexible vegetation through numerical simulation, revealing the formation of alternate vortices at the flow-vegetation interface, resulting in wave-like oscillations of the vegetation canopy. The study also demonstrated the effects of flow velocity, vegetation spacing, and relative density on the characteristics of vegetation oscillations.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Engineering, Multidisciplinary
Benoit Pinier, Roger Lewandowski, Etienne Memin, Pranav Chandramouli
Summary: The study aims to test the performance of a turbulence model in boundary layers, establishing new boundary conditions and conducting mathematical analysis. By numerical simulations, a generic formula for the Prandtl mixing length was obtained for high Reynolds numbers to evaluate the model's advantages, disadvantages, and limitations.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Mechanics
Jianyu Wang, Guojian He, Subhasish Dey, Hongwei Fang
Summary: This study presents a three-dimensional numerical model for the interaction of flow with submerged flexible vegetation, successfully simulating the interaction between flow and highly flexible vegetation. Experimental results validate the effectiveness of the numerical model in simulating velocity profiles and vegetation movement induced by flow.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Thermodynamics
A. Fadai-Ghotbi, R. Manceau, J. Boree
FLOW TURBULENCE AND COMBUSTION
(2008)
Article
Thermodynamics
Frederic Dehoux, Yannick Lecocq, Sofiane Benhamadouche, Remi Manceau, Laurent-Emmanuel Brizzi
FLOW TURBULENCE AND COMBUSTION
(2012)
Article
Thermodynamics
Atabak Fadai-Ghotbi, Christophe Friess, Remi Manceau, Thomas B. Gatski, Jacques Boree
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW
(2010)
Article
Mechanics
Laurent Perret, Joel Delville, Remi Manceau, Jean-Paul Bonnet
Article
Mechanics
A. Colombie, E. Laroche, F. Chedevergne, R. Manceau, F. Duchaine, L. Gicquel
Summary: This study uses large-eddy simulation to evaluate the Reynolds-stress budgets of a round impinging jet, focusing on the stagnation region where pressure terms dominate the budgets and balance the Reynolds-stress production and convective fluxes. The study highlights the role of pressure diffusion term in conveying energy to the wall and explains the failure of turbulence models due to inadequate modeling of this term.
Article
Multidisciplinary Sciences
Thomas B. Gatski, Christopher L. Rumsey, Remi Manceau
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2007)
Article
Thermodynamics
S. Carpy, R. Manceau
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW
(2006)
Article
Thermodynamics
Laurent Perret, Joel Delville, Remi Manceau, Jean-Paul Bonnet
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW
(2006)
Article
Thermodynamics
L Thielen, K Hanjalic, H Jonker, R Manceau
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2005)
Article
Mechanics
R Manceau, JR Carlson, TB Gatski
Article
Mechanics
R Manceau, K Hanjalic
Article
Mechanics
L Ukeiley, L Cordier, R Manceau, J Delville, M Glauser, JP Bonnet
JOURNAL OF FLUID MECHANICS
(2001)
Article
Mechanics
R Manceau, M Wang, D Laurence
JOURNAL OF FLUID MECHANICS
(2001)
Article
Chemistry, Analytical
D Picart, R Manceau, JP Faure
INSTRUMENTATION SCIENCE & TECHNOLOGY
(2001)