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A conservative primitive variable discrete exterior calculus (DEC) discretization of the Navier-Stokes equations is performed. An existing DEC method (Mohamed, M. S., Hirani, A. N., Samtaney, R. (2016). Discrete exterior calculus…

流体动力学 · 物理学 2021-02-24 Pankaj Jagad , Abdullah Abukhwejah , Mamdouh Mohamed , Ravi Samtaney

Center manifold analysis can be used in order to investigate the stability of the stationary solutions of various PDEs. This can be done by considering the PDE as an ODE between certain Banach spaces and linearising about the stationary…

偏微分方程分析 · 数学 2012-09-20 David Hartley

This article is devoted to the study of an incompressible viscous flow of a fluid partly enclosed in a cylindrical container with an open top surface and driven by the constant rotation of the bottom wall. Such type of flows belongs to a…

软凝聚态物质 · 物理学 2022-09-29 Roland Bouffanais , David Lo Jacono

We consider a numerical approach for the incompressible surface Navier-Stokes equation. The approach is based on the covariant form and uses discrete exterior calculus (DEC) in space and a semi-implicit discretization in time. The…

数值分析 · 数学 2020-11-26 Ingo Nitschke , Sebastian Reuther , Axel Voigt

Taylor-Couette flow between rotating cylinders is a classical problem in fluid mechanics and has been extensively studied in the case of two concentric circular cylinders. There have been relatively small number of studies in complex-shaped…

流体动力学 · 物理学 2024-06-19 Akash Unnikrishnan , Surya Pratap Vanka , Vinod Narayanan

A particle-based model for mesoscopic fluid dynamics is used to simulate steady and unsteady flows around a circular and a square cylinder in a two-dimensional channel for a range of Reynolds number between 10 and 130. Numerical results for…

软凝聚态物质 · 物理学 2009-11-07 A. Lamura , G. Gompper , T. Ihle , D. M. Kroll

The flow past a fixed finite-length circular cylinder, the axis of which makes a nonzero angle with the incoming stream, is studied through fully-resolved simulations, from creeping-flow conditions to strongly inertial regimes. The…

流体动力学 · 物理学 2021-04-28 Mohammed Kharrouba , Jean-Lou Pierson , Jacques Magnaudet

Shear-driven flow between a rotating cylinder and a stationary elliptical enclosure is studied in this paper. Two-dimensional time-dependent Navier Stokes equations are solved using a meshless method where interpolations are done with…

流体动力学 · 物理学 2022-01-26 Akash Unnikrishnan , Shantanu Shahane , Vinod Narayan , Surya Pratap Vanka

We consider a test problem for Navier-Stokes solvers based on the flow around a cylinder at Reynolds numbers 500 and 1000, where the solution is observed to be periodic when the problem is sufficiently resolved. Computing the resulting flow…

数值分析 · 数学 2025-07-15 Henry von Wahl , Leo G. Rebholz , L. Ridgway Scott

The tendency of a jet to stay attached to a flat or convex surface is called the Coand\u{a} effect and has many potential technical applications. The aim of this thesis is to assess how well Computational Fluid Dynamics can capture it. A…

计算工程、金融与科学 · 计算机科学 2021-10-06 Florent Mauret

A conservative discretization of incompressible Navier-Stokes equations is developed based on discrete exterior calculus (DEC). A distinguishing feature of our method is the use of an algebraic discretization of the interior product…

流体动力学 · 物理学 2016-04-12 Mamdouh S. Mohamed , Anil N. Hirani , Ravi Samtaney

We present a discrete exterior calculus (DEC) based discretization scheme for incompressible two-phase flows. Our physically-compatible exterior calculus discretization of single phase flow is extended to simulate immiscible two-phase flows…

流体动力学 · 物理学 2023-06-14 Minmiao Wang , Pankaj Jagad , Anil N. Hirani , Ravi Samtaney

We present in this Letter experimental results on the bidimensional flow field around a cylinder penetrating into dense granular matter together with drag force measurements. A hydrodynamic model based on extended kinetic theory for dense…

软凝聚态物质 · 物理学 2018-01-17 Antoine Seguin , Yann Bertho , Philippe Gondret , Jerome Crassous

The stability of a two-dimensional viscous flow between two rotating porous cylinders is studied. The basic steady flow is the most general rotationally-invariant solution of the Navier-Stokes equations in which the velocity has both radial…

流体动力学 · 物理学 2015-06-18 Konstantin Ilin , Andrey Morgulis

The oscillatory flow around a spherical object lying on a rough bottom is investigated by means of direct numerical simulations of continuity and Navier-Stokes equations. The rough bottom is simulated by a layer/multiple layers of spherical…

流体动力学 · 物理学 2017-06-28 Marco Mazzuoli , Paolo Blondeaux , Julian Simeonov , Joseph Calantoni

The flow within an oscillatory boundary layer, which approximates the flow generated by propagating sea waves of small amplitude close to the bottom, is simulated numerically by integrating Navier-Stokes and continuity equations. The bottom…

We present a systematic numerical investigation of bifurcations in the two-dimensional incompressible Navier-Stokes flow past a confined circular cylinder. The results indicate that there is a qualitative correspondence between changes in…

流体动力学 · 物理学 2025-12-18 Jakub Cach , Karel Tůma , Jan Blechta , Sebastian Schwarzacher

We consider a test problem for Navier-Stokes solvers based on the flow around a cylinder that exhibits chaotic behavior, to examine the behavior of various numerical methods. We choose a range of Reynolds numbers for which the flow is…

数值分析 · 数学 2024-08-19 Henry von Wahl , L. Ridgway Scott

Flow around two rotating side-by-side circular cylinders of equal diameter D is numerically studied at the Reynolds number Re=40-200 and various rotation rate theta_i. The incoming flow is assumed to be two-dimensional laminar flow. The…

流体动力学 · 物理学 2019-02-13 Hua-Shu Dou , Shuo Zhang , Hui Yang , Toshiaki Setoguchi , Yoichi Kinoue

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…

计算物理 · 物理学 2018-10-25 Alan Hsu , Fei Liu
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