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CFD simulations are widely used to quantify mixing performance of stirred tanks, for various applications in chemical engineering and biotechnology. Due to advances in GPU computing, more and more often these simulations make use of Large…

The statistics of the relaminarisation of localised turbulence in a pipe are examined by direct numerical simulation. As in recent experimental data (Peixinho & Mullin, Phys. Rev. Lett. 96, 094501, 2006), the half life for the decaying…

Fluid Dynamics · Physics 2007-05-23 A. P. Willis , R. R. Kerswell

The evolve-filter (EF) model is a filter-based numerical stabilization for under-resolved convection-dominated flows. EF is a simple, modular, and effective strategy for both full-order models (FOMs) and reduced-order models (ROMs). It is…

Numerical Analysis · Mathematics 2025-02-03 Maria Strazzullo , Francesco Ballarin , Traian Iliescu , Tomás Chacón Rebollo

Theoretical methods are developed to understand the effect of non-uniform grids on Flux Reconstruction (FR) in multi-dimensions. The analysis reveals that the same effect of expanding and contracting grids is seen in two dimensions as in…

Numerical Analysis · Mathematics 2019-01-29 Will Trojak , Rob Watson , Ashley Scillitoe , Paul G. Tucker

Turbulent wall flows offer the most direct means for understanding the effects of boundaries and viscosity on turbulent fluctuations. Available data on mean-square fluctuations in these flows show apparent contradiction with classical…

Fluid Dynamics · Physics 2025-08-05 Xi Chen , Katepalli R. Sreenivasan

A framework for exponential time discretization of the multilayer rotating shallow water equations is developed in combination with a mimetic discretization in space. The method is based on a combination of existing exponential time…

Numerical Analysis · Mathematics 2019-08-27 Konstantin Pieper , K. Chad Sockwell , Max Gunzburger

The paper examines the impact of different modelling choices in second-moment closures by assessing model performance in predicting 3-D duct flows. The test-cases (developing flow in a square duct [Gessner F.B., Emery A.F.: {\em ASME J.…

Fluid Dynamics · Physics 2016-02-17 G. A. Gerolymos , I. Vallet

Processing the data from a large variety of zero-pressure-gradient boundary layer flows shows that the Reynolds-number-dependent scaling law, which the present authors obtained earlier for pipes, gives an accurate description of the…

Numerical Analysis · Mathematics 2025-10-20 Grigory I. Barenblatt , Alexandre J. Chorin , V. M. Prostokishin

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…

Fluid Dynamics · Physics 2021-10-26 Adrián Lozano-Durán , Hyunji Jane Bae

Wall-pressure fluctuations are a practically robust input for real-time control systems aimed at modifying wall-bounded turbulence. The scaling behaviour of the wall-pressure--velocity coupling requires investigation to properly design a…

Fluid Dynamics · Physics 2024-01-11 Woutijn J. Baars , Giulio Dacome , Myoungkyu Lee

Synchronization of turbulence in channel flow is investigated using continuous data assimilation. The flow is unknown within a region of the channel. Beyond this region the velocity field is provided, and is directly prescribed in the…

Fluid Dynamics · Physics 2022-06-22 Mengze Wang , Tamer A. Zaki

In Navier-Stokes turbulence, a bottleneck effect in the energy cascade near the viscous cutoff causes an overshoot in the energy spectrum, or spectral bump, relative to Kolmogorov's -5/3 scaling. A similar overshoot occurs in large-eddy…

Fluid Dynamics · Physics 2025-09-24 Mostafa Kamal , Perry L. Johnson

Turbulence is the major cause of friction losses in transport processes and it is responsible for a drastic drag increase in flows over bounding surfaces. While much effort is invested into developing ways to control and reduce turbulence…

Fluid Dynamics · Physics 2018-05-09 J. Kühnen , B. Song , D. Scarselli , N. Budanur , A. Willis , M. Riedl , M. Avila , B. Hof

The paper is devoted to two-phase flow simulations and investigates the ability of a diffusive interface Cahn-Hilliard Volume-of-Fluid model to capture the dynamics of the air-sea interface at geophysically relevant Reynolds numbers. It…

We consider Taylor dispersion for tracer particles in micro-fluidic planar channels with strong confinement. In this context, the channel walls modify the local diffusivity tensor and also interactions between the tracer particles and the…

Fluid Dynamics · Physics 2021-08-12 Arthur Alexandre , Thomas Guérin , David S. Dean

Turbulent flows in three dimensions are characterized by the transport of energy from large to small scales through the energy cascade. Since the small scales are the result of the nonlinear dynamics across the scales, they are often…

Fluid Dynamics · Physics 2025-03-19 Lukas Bentkamp , Michael Wilczek

Spatial filtering has been central in the development of large eddy simulation reduced order models (LES-ROMs) and regularized reduced order models (Reg-ROMs), In this paper, we perform a numerical investigation of spatial filtering. To…

Numerical Analysis · Mathematics 2017-07-14 L. C. Berselli , D. Wells , X. Xie , T. Iliescu

The present research proposes a new memory-efficient method using diffusion models to inject turbulent inflow conditions into Large Eddy Simulation (LES) and Direct Numerical Simulation (DNS) for various flow problems. A guided diffusion…

Surface transport of inertial particles is investigated by means of the perturbative approach, introduced by Maxey (J. Fluid Mech. 174, 441 (1987)), which is valid in the case the deflections induced on the particle trajectories by the…

Chaotic Dynamics · Physics 2009-06-12 Marco Martins Afonso , Andrea Mazzino , Piero Olla

Entropy-stable (ES) schemes have gained considerable attention over the last decade, especially in the context of turbulent flow simulations using high-order methods. While promising because of their nonlinear stability properties, ES…

Numerical Analysis · Mathematics 2018-11-26 Ayoub Gouasmi , Karthik Duraisamy , Scott Murman
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