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The aim of the paper is to construct and justify asymptotic approximations for solutions to quasilinear convection-diffusion problems with a predominance of nonlinear convective flow in a thin cylinder, where an inhomogeneous nonlinear…

Analysis of PDEs · Mathematics 2024-11-06 Taras Mel'nyk , Christian Rohde

We present an exact solution for the time-dependent Stokes problem of an infinite cylinder of radius r=a in a fluid with harmonic boundary conditions at infinity. This is a 3-dimensional problem but, because of translational invariance…

Mathematical Physics · Physics 2008-04-14 Andreas N. Vollmayr , Jan-Moritz P. Franosch , J. Leo van Hemmen

The present study investigates the passive flow control phenomena over a two-dimensional circular cylinder using numerical simulations in the laminar regime. The aim is to explore one of the passive control techniques, which involves the…

Fluid Dynamics · Physics 2021-02-03 Alok Mishra , Mohd. Hanzla , Ashoke De

We revisit a model for three-dimensional, inviscid quasi-geostrophic flow on bounded, cylindrical domains introduced by the authors in \cite{nv18}. We prove the local-in-time existence of classical solutions.

Analysis of PDEs · Mathematics 2020-02-19 Matthew Novack , Alexis Vasseur

The flow field and the heat transfer around six in-line iso-thermal circular cylinders has been studied by mean of numerical simulations. Two values of the center to center spacing ($s=3.6d$ and $4d$, where $d$ is the cylinder diameter) at…

Fluid Dynamics · Physics 2015-09-16 Francesco Fornarelli , Paolo Oresta , Antonio Lippolis

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

The complete flow field surrounding a rotating cylinder is calculated by solving the Navier-Stokes equations using the finite difference method. The numerical simulation is performed on a transformed rectilinear grid, with axes representing…

Computational Physics · Physics 2018-10-25 Alan Hsu , Fei Liu

Flow oscillations in the near-wake region of a 2D circular cylinder are experimentally investigated at Mach 6 over the Reynolds number range $2.3\times10^5$ to $5\times10^5$. The oscillation frequency is obtained by spectral proper…

Fluid Dynamics · Physics 2023-08-01 Premika S. Thasu , Subrahmanyam Duvvuri

A new eigenvalue analysis is developed and applied to the circular cylinder laminar flow configuration to investigate the various mechanisms at play in the nonlinear saturation of perturbations yielding to limit cycles for supercritical…

Fluid Dynamics · Physics 2020-08-25 Olivier Marquet , Marco Carini

We present variational approximations of boundary value problems for curvature flow (curve shortening flow) and elastic flow (curve straightening flow) in two-dimensional Riemannian manifolds that are conformally flat. For the evolving open…

Numerical Analysis · Mathematics 2021-11-03 Harald Garcke , Robert Nürnberg

Numerical solutions of the laminar Prandtl boundary-layer and Navier-Stokes equations are considered for the case of the two-dimensional uniform flow past an impulsively-started circular cylinder. We show how Prandtl's solution develops a…

Fluid Dynamics · Physics 2014-04-21 Francesco Gargano , Marco Sammartino , Vincenzo Sciacca , Kevin W. Cassel

The objective of this work is to investigate the challenges encountered in Scale-Resolving Simulations (SRS's) of turbulent wake flows driven by spatially-developing coherent structures. SRS's of practical interest are expressly intended…

Fluid Dynamics · Physics 2018-01-16 F. S. Pereira , L. Eca , G. Vaz , S. S. Girimaji

Modeling the effect of complex terrain on high Reynolds number flows is important to improve our understanding of flow dynamics in wind farms and the dispersion of pollen and pollutants in hilly or mountainous terrain as well as the flow in…

Computational Physics · Physics 2021-03-11 Luoqin Liu , Richard J. A. M. Stevens

The study of vortex flows in the vicinity of multiple solid obstacles is of considerable theoretical interest and practical importance. In particular, the case of flows past a circular cylinder placed above a plane wall has attracted a lot…

Fluid Dynamics · Physics 2012-08-29 M. N. Moura , G. L. Vasconcelos

In this research, the effect of utilizing a micro plasma actuator on controlling the flow through a two-dimensional cylinder is investigated using an advanced electrostatic model. Within this model, by solving two elliptic equations, the…

Fluid Dynamics · Physics 2024-07-16 Javad Omidi

We prove that if a rescaled mean curvature flow is a global graph over the round cylinder with small gradient and converges super-exponentially fast, then it must coincide with the cylinder itself. We also show that the result is sharp with…

Differential Geometry · Mathematics 2025-10-28 Yiqi Huang , Xinrui Zhao

We extend earlier numerical and analytical considerations of the conformally invariant wave equation on a Schwarzschild background from the case of spherically symmetric solutions, discussed in Class. Quantum Grav. 34, 045005 (2017), to the…

General Relativity and Quantum Cosmology · Physics 2018-02-23 Jörg Frauendiener , Jörg Hennig

We investigate the prediction of the turbulent flow around a canonical square cylinder at Re= 22000 solving the unsteady Reynolds-averaged Navier-Stokes (URANS) equations. The limitations of URANS modelling are overcome through the…

Fluid Dynamics · Physics 2022-03-09 Markus Zauner , Vincent Mons , Olivier Marquet , Benjamin Leclaire

In this article, three-dimensional (3D) lid-driven flows in semicircular cavities are studied. The numerical solution of the Navier-Stokes equations modeling incompressible viscous fluid flow in cavities is obtained via a methodology…

Fluid Dynamics · Physics 2024-04-25 Tsorng-Whay Pan , Ang Li , Shang-Huan Chiu

The steady, asymmetric and two-dimensional flow of viscous, incompressible micropolar fluid through a rectangular channel with a splitter (parallel to walls) was formulated and simulated numerically. The plane Poiseuille flow was considered…

Fluid Dynamics · Physics 2016-05-10 Abuzar Abid Siddiqui