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We show that an attempt to compute numerically a viscous flow in a domain with a piece-wise smooth boundary by straightforwardly applying well-tested numerical algorithms (and numerical codes based on their use, such as COMSOL Multiphysics)…

流体动力学 · 物理学 2009-04-06 J. E. Sprittles , Y. D. Shikhmurzaev

We report a new method to measure the velocity of a fluid in the vicinity of a wall. The method, that we call Particle-Shadow Tracking (PST), simply consists in seeding the fluid with a small number of fine tracer particles of density close…

流体动力学 · 物理学 2016-08-14 Pierre Lancien , Eric Lajeunesse , François Métivier

We study the initial-boundary value problem of the Navier-Stokes equations for incompressible fluids in a general domain in $\R^n$ with compact and smooth boundary, subject to the kinematic and vorticity boundary conditions on the non-flat…

偏微分方程分析 · 数学 2009-01-05 Gui-Qiang Chen , Dan Osborne , Zhongmin Qian

Direct methods to obtain global stability modes are restricted by the daunting sizes and complexity of Jacobians encountered in general three-dimensional flows. Jacobian-free iterative approaches such as Arnoldi methods have greatly…

流体动力学 · 物理学 2020-07-13 Rajesh Ranjan , S. Unnikrishnan , Datta Gaitonde

This work builds on and confirms the theoretical findings of Part 1 of this paper, Moarref & Jovanovi\'c (2010). We use direct numerical simulations of the Navier-Stokes equations to assess the efficacy of blowing and suction in the form of…

流体动力学 · 物理学 2011-11-29 Binh K. Lieu , Rashad Moarref , Mihailo R. Jovanović

We consider the three-dimensional steady Navier-Stokes system in the exterior of an infinite cylinder under the action of an external force. We construct solutions in the class of vertically uniform flows which vanish at horizontal…

偏微分方程分析 · 数学 2026-04-28 Mitsuo Higaki , Ryoma Horiuchi

A nonlinear model relating the imposed motion of a circular cylinder, submerged in a fluid flow, to the transverse force coefficient is presented. The nonlinear fluid system, featuring vortex shedding patterns, limit cycle oscillations and…

流体动力学 · 物理学 2020-06-11 Jan Decuyper , Tim De Troyer , Koen Tiels , Johan Schoukens , Mark C. Runacres

We develop a McKean-Vlasov interpretation of Navier-Stokes equations with external force field in the whole space, by associating with local mild $L^p$-solutions of the 3d-vortex equation a generalized nonlinear diffusion with random…

概率论 · 数学 2010-11-09 J. Fontbona

We advance the computation of physical modal expansions for unsteady incompressible flows. Point of departure is a linearization of the Navier-Stokes equations around its fixed point in a frequency domain formulation. While the most…

流体动力学 · 物理学 2018-04-24 Marek Morzynski , Wojciech Szeliga , Bernd R. Noack

The flow of viscous incompressible fluid over a periodically corrugated surface is investigated numerically by solving the Navier-Stokes equation with the local slip and no-slip boundary conditions. We consider the effective slip length…

流体动力学 · 物理学 2009-05-12 Anoosheh Niavarani , Nikolai V. Priezjev

An obstacle is immersed in an externally driven 2D Stokes or Navier-Stokes fluid. We study the self-equilibration conditions for that obstacle under steady state assumptions on the flow. We then seek to optimize the translational and/or…

偏微分方程分析 · 数学 2025-08-08 Gilles A. Francfort , Alessandro Giacomini , Scott Weady

Particle Image Velocimetry (PIV) has become increasingly popular to study structures in turbulent flows. PIV allows direct extraction and investigation of spatial structures in the given flow field. Increasing temporal resolution of PIV…

流体动力学 · 物理学 2021-12-10 Tom T. B. Wester , André Fuchs , Joachim Peinke , Gerd Gülker

The dynamics of an organ pipe's mouth region has been studied by numerical simulations. The investigations presented here were carried out by solving the compressible Navier-Stokes equations under suitable initial and boundary conditions…

流体动力学 · 物理学 2019-12-16 Jost Leonhardt Fischer , Rolf Bader , Markus Abel

The two-dimensional flows around a cylinder between two parallel walls at Re=40 and Re=100 are simulated with computational fluid dynamics (CFD). The governing equations are Navier-Stokes equations. They are discretized with finite volume…

流体动力学 · 物理学 2019-02-13 Hua-Shu Dou , An-Qing Ben

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…

流体动力学 · 物理学 2025-11-05 Aditi Sengupta , Santosh Kumar , Sanjeev Kumar

We study the flow dynamics inside a high-speed rotating cylinder after introducing strong symmetry-breaking disturbance factors at cylinder wall motion. We propose and formulate a mathematically robust stochastic model for the rotational…

流体动力学 · 物理学 2021-03-04 Ali Akhavan-Safaei , S. Hadi Seyedi , Mohsen Zayernouri

We here exploit a rigorous mathematical theory of vorticity dynamics for Navier-Stokes solutions in terms of stochastic Lagrangian flows and their stochastic Cauchy invariants, that are conserved on average backward in time. This theory…

流体动力学 · 物理学 2023-07-19 Gregory L. Eyink , Akshat Gupta , Tamer Zaki

We make a consistent derivation, from the governing equations, of the pressure transfer function in the small-amplitude Stokes wave regime and the hydrostatic approximation in the small-amplitude solitary water wave regime, in the presence…

偏微分方程分析 · 数学 2016-06-29 Robin Ming Chen , Vera Mikyoung Hur , Samuel Walsh

Waves with constant vorticity and electrohydrodynamics flows are two topics in fluid dynamics that have attracted much attention from scientists for both the mathematical challenge and their industrial applications. The coupling of electric…

流体动力学 · 物理学 2023-01-04 Marcelo V. Flamarion , Tao Gao , Roberto Ribeiro-Jr , Alex Doak

The paper extends a stabilized fictitious domain finite element method initially developed for the Stokes problem to the incompressible Navier-Stokes equations coupled with a moving solid. This method presents the advantage to predict an…

数值分析 · 数学 2017-07-12 Sébastien Court , Michel Fournié