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We study the dynamical evolution toward steady state of the stochastic non-equilibrium model known as totally asymmetric simple exclusion process, in both uniform and non-uniform (staggered) one-dimensional systems with open boundaries.…

Statistical Mechanics · Physics 2016-07-13 R. B. Stinchcombe , S. L. A. de Queiroz

Contrasting with free shear flows presenting velocity profiles with inflection points which cascade to turbulence in a relatively mild way, wall bounded flows are deprived of (inertial) instability modes at low Reynolds numbers and become…

Fluid Dynamics · Physics 2009-11-13 Paul Manneville

This work focuses on the development and analysis of a partitioned numerical method for moving domain, fluid-structure interaction problems. We model the fluid using incompressible Navier-Stokes equations, and the structure using linear…

Numerical Analysis · Mathematics 2020-07-03 Anyastassia Seboldt , Martina Bukač

A new slow growth formulation for DNS of wall-bounded turbulent flow is developed and demonstrated to enable extension of slow growth modeling concepts to complex boundary layer flows. As in previous slow growth approaches, the formulation…

Fluid Dynamics · Physics 2017-08-16 Victor Topalian , Todd A. Oliver , Rhys Ulerich , Robert D. Moser

We present a set of new energy-stable open boundary conditions for tackling the backflow instability in simulations of outflow/open boundary problems for incompressible flows. These boundary conditions are developed through two steps: (i)…

Fluid Dynamics · Physics 2019-05-22 Naxian Ni , Zhiguo Yang , Suchuan Dong

Large Eddy Simulations of a flow at a moderate Reynolds number over and around a three-dimensional hill have been performed. The main aim of the simulations was to study the effects of various inflow conditions (boundary layer thickness and…

Fluid Dynamics · Physics 2017-08-24 Manuel Garcia-Villalba , Jan G. Wissink , Wolfgang Rodi

The finite element simulation of dynamic wetting phenomena, requiring the computation of flow in a domain confined by intersecting a liquid-fluid free surface and a liquid-solid interface, with the three-phase contact line moving across the…

Computational Physics · Physics 2012-02-20 J. E. Sprittles , Y. D. Shikhmurzaev

This paper is devoted to the simulation of the flow around and inside a rigid axisymmetric net. We describe first how experimental data have been obtained. We show in detail the modelization. The model is based on a Reynolds Averaged…

Mathematical Physics · Physics 2015-06-26 Roger Lewandowski , Géraldine Pichot

One of the main challenges in simulating high Reynolds number ($Re$) turbulent boundary layers (TBLs) is the long streamwise distance required for large-scale outer-layer structures to develop, making such simulations prohibitively…

Fluid Dynamics · Physics 2025-12-12 Ronith Stanly , Timofey Mukha , Martin Karp , Stefano Markidis , Philipp Schlatter

A homogenization approach is proposed for the treatment of porous wall boundary conditions in the computation of compressible viscous flows. Like any other homogenization approach, it eliminates the need for pore-resolved fluid meshes and…

Fluid Dynamics · Physics 2020-12-15 Daniel Z. Huang , Man Long Wong , Sanjiva K. Lele , Charbel Farhat

We consider a boundary-value problem for the second order elliptic differential operator with rapidly oscillating coefficients in a domain $\Omega_{\epsilon}$ that is $\epsilon-$periodically perforated by small holes. The holes are divided…

Analysis of PDEs · Mathematics 2008-06-16 Taras A. Mel'nyk , Olena A. Sivak

A stable partitioned algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and rigid bodies. This {\em added-mass partitioned} (AMP) algorithm remains stable, without sub-iterations, for…

Numerical Analysis · Mathematics 2017-06-07 J. W. Banks , W. D. Henshaw , D. W. Schwendeman , Qi Tang

The potential applications of boundary functionals of random processes, such as the extreme values of these processes, the moment of first reaching a fixed level, the value of the process at the moment of reaching the level, the moment of…

Statistical Mechanics · Physics 2025-01-15 V. V. Ryazanov

Lagrangian stochastic methods are widely used to model turbulent flows. Scarce consideration has, however, been devoted to the treatment of the near-wall region and to the formulation of a proper wall-boundary condition. With respect to…

Fluid Dynamics · Physics 2024-02-07 Guilhem Balvet , Jean-Pierre Minier , Yelva Roustan , Martin Ferrand

We find actual evidence, relying upon vorticity time series taken in a high Reynolds number atmospheric experiment, that to a very good approximation the surface boundary layer flow may be described, in a statistical sense and under certain…

Fluid Dynamics · Physics 2009-11-13 M. Kholmyansky , L. Moriconi , A. Tsinober

The present study reports comprehensive bifurcation analysis of flow past a rotating cylinder at a fixed rotation rate by varying free-stream Reynolds number ($Re_{\infty}$) from 1000-6000 in intervals of 50. Two-dimensional compressible…

Fluid Dynamics · Physics 2025-11-05 Aditi Sengupta , Santosh Kumar , Sanjeev Kumar

A direct numerical simulation of incompressible channel flow at $Re_\tau$ = 5186 has been performed, and the flow exhibits a number of the characteristics of high Reynolds number wall-bounded turbulent flows. For example, a region where the…

Fluid Dynamics · Physics 2023-07-19 Myoungkyu Lee , Robert D. Moser

A low-Mach-number flow, in the laminar regime, has intrinsically two characteristic spatial scales for a given time scale, or two characteristic temporal scales for a given spatial scale, and these dual scales are very different due to the…

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…

Fluid Dynamics · Physics 2025-12-29 Youjie Xu , Steffen J. Schmidt , Nikolaus A. Adams

We provide a rigorous analysis of the self-similar solution of the temporal turbulent boundary layer, recently proposed in [2], in which a body force is used to maintain a statistically steady turbulent boundary layer with periodic boundary…

Fluid Dynamics · Physics 2024-06-17 Andrew Wynn , Saeed Parvar , Joseph O Connor , Sylvain Laizet