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Journal ArticleDOI

Kármán vortex street behind a circular cylinder by the series truncation method

V. A. Patel
- 01 Jul 1978 - 
- Vol. 28, Iss: 1, pp 14-42
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TLDR
Semianalytical solutions of the Navier-Stokes equations are presented for two-dimensional, viscous, and incompressible flow past a circular cylinder for Reynolds numbers 100, 200 and 500 as discussed by the authors.
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This article is published in Journal of Computational Physics.The article was published on 1978-07-01. It has received 31 citations till now. The article focuses on the topics: Potential flow around a circular cylinder & Strouhal number.

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Citations
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Journal ArticleDOI

A global stability analysis of the steady and periodic cylinder wake

TL;DR: In this paper, a global, three-dimensional stability analysis of the steady and the periodic cylinder wake is carried out employing a low-dimensional Galerkin method, and the steady flow is found to be asymptotically stable with respect to all perturbations for Re less than 54.
Journal ArticleDOI

A low‐dimensional Galerkin method for the three‐dimensional flow around a circular cylinder

TL;DR: In this article, a low-dimensional Galerkin method for the three-dimensional flow around a circular cylinder is constructed, which reveals general mathematical and physical aspects which may strongly effect the success of lowdimensional simulations, and detailed information about the construction of similar low dimensional methods for the sphere wake, boundary layer, flow in a channel or pipe, Taylor-Couette problem, and a variety of other flows is given.
Journal ArticleDOI

Steady and unsteady flow past a rotating circular cylinder at low Reynolds numbers

TL;DR: In this paper, the Navier-Stokes equations for incompressible fluids are used to model the steady and unsteady flows past a circular cylinder, which is assumed to be two-dimensional.
Journal ArticleDOI

On the use of several compact methods for the study of unsteady incompressible viscous flow round a circular cylinder

Y. Lecointe, +1 more
- 02 Sep 1985 - 
TL;DR: In this article, the authors compared fourth order accurate methods of mehrstellen type with second-order accurate methods for the solution of the unsteady incompressible Navier-Stokes equations in their vorticity stream function formulation.
Journal ArticleDOI

Numerical simulation of the effect of spatial disturbances on vortex asymmetry

TL;DR: In this paper, the steady asymmetric vortex pattern observed on slender bodies of revolution at large angle of attack was investigated using fine-grid Navier-Stokes computations and the computed results demonstrate the marked asymmetry which has been observed in experiments.
References
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Journal ArticleDOI

Experimental Investigation of the Wakes behind Cylinders and Plates at Low Reynolds Numbers

TL;DR: In the case of a flat plate parallel to the flow, the wake begins to oscillate sinusoidally some distance downstream at about R =700 (R is U l /ν, where l is the length of the plate) as mentioned in this paper.
Journal ArticleDOI

Flow past an impulsively started circular cylinder

TL;DR: In this article, the Navier-Stokes equations were integrated numerically for the time-dependent flow past an impulsively started circular cylinder, based on the diameter of the cylinder, from 5 to ∞.
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Numerical Solution of the Problem of Vortex Street Development

TL;DR: In this article, a method is described for the solution of time-dependent problems concerning the flow of viscous incompressible fluids in several space dimensions, using a high-speed computer for a finite-difference approximation to the partial differential equations of motion.
Journal ArticleDOI

Viscous flow past circular cylinders

TL;DR: In this article, a semi-analytical method of series truncation is used to express the stream function and the vorticity in a finite Fourier series and the resulting nonlinear equation are solved unsing Newton's method.
Journal ArticleDOI

Oscillatory Drag, Lift, and Torque on a Circular Cylinder in a Uniform Flow

TL;DR: In this paper, numerical solutions of the equations governing time-dependent, viscous, incompressible fluid flow past a circle are presented for Reynolds numbers 100, 400, and 1000.
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