A Large-Eddy Simulation of the Near Wake of a Circular Cylinder

Jordan, Stephen A.; Ragab, Saad A.

doi:10.1115/1.2820640

Cited by 50 publications

(20 citation statements)

References 27 publications

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“…This problem has been numerically investigated by many researchers. 4,[6][7][8][9][10][11][12][13][14][15][16][17] Although the tendency of the drag coefficient as the function of the Reynolds number agrees well with the experiments, the calculated drag coefficients are in general a few percent different from the experimental data. The reason is considered to be a result of the threedimensional effect appearing in the experiment.…”

Section: Flow Around a Two-dimensional Circular Cylindersupporting

confidence: 64%

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Computing High Reynolds Number Flows by a Semi-Lagrangian Scheme

Nakanishi¹,

Abe²

2001

Trans. Japan Soc. Aero. S Sci.

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The Semi-Lagrangian (SL) scheme developed for incompressible Navier-Stokes equations written in generalized coordinates has been explored to accurately solve the high Reynolds number flows. The instability related to the advection term of the Navier-Stokes equations is classified into linear instability and nonlinear instability. The former is controlled by the CFL condition, and the latter is due to the aliasing error. The linear instability is naturally eliminated by employment of the SL scheme. The Kawamura scheme is creatively applied to approximate the first derivatives appearing in the Hermite interpolation function to remove the nonlinear instability. The resulting numerical scheme is unconditionally stable for incompressible flows at all Reynolds numbers. Accurate numerical solutions of the unsteady flow around a 2D circular cylinder at Reynolds numbers below 100,000 have been carried out. It was found that this flow has a wide range of wave number modes. Numerous grid numbers and a small time step length must be used to guarantee the accuracy. Furthermore, a very long time average should be conducted to compare the data with the experimental measurement.

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Section: Flow Around a Two-dimensional Circular Cylindersupporting

confidence: 64%

“…Research on the present problem has been shifted to consider the threedimensional flows 15) in recent years. Most recently, largeeddy simulation of three-dimensional flow 16,17) becomes the main trend in tackling this problem.…”

Section: Introductionmentioning

confidence: 99%

Computing High Reynolds Number Flows by a Semi-Lagrangian Scheme

Nakanishi¹,

Abe²

2001

Trans. Japan Soc. Aero. S Sci.

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“…Similar computations at a Reynolds number of Re = 5600 have also been carried out by Jordan and Ragab [54]. This situation represents a test for numerical methods which are capable of simulating regions with geometric curvature.…”

Section: Flow Past a Circular Cylindermentioning

confidence: 86%

A time‐implicit high‐order compact differencing and filtering scheme for large‐eddy simulation

Rizzetta

Visbal

Blaisdell

2003

Numerical Methods in Fluids

159

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SUMMARYThis work investigates a high-order numerical method which is suitable for performing large-eddy simulations, particularly those containing wall-bounded regions which are considered on stretched curvilinear meshes. Spatial derivatives are represented by a sixth-order compact approximation that is used in conjunction with a tenth-order non-dispersive ÿlter. The scheme employs a time-implicit approximately factored ÿnite-di erence algorithm, and applies Newton-like subiterations to achieve second-order temporal and sixth-order spatial accuracy. Both the Smagorinsky and dynamic subgrid-scale stress models are incorporated in the computations, and are used for comparison along with simulations where no model is employed. Details of the method are summarized, and a series of classic validating computations are performed. These include the decay of compressible isotropic turbulence, turbulent channel ow, and the subsonic ow past a circular cylinder. For each of these cases, it was found that the method was robust and provided an accurate means of describing the owÿeld, based upon comparisons with previous existing numerical results and experimental data. Published in

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“…Apart form the main vortices shed from the cylinder, streamwise structures connecting the vortices ('ÿngers' according to Jordan and Ragab [27]) were also regularly observed [28].…”

Section: Discussionmentioning

confidence: 99%

LES of the flow past a rectangular cylinder using the immersed boundary concept

Grigoriadis

Bartzis

Goulas

2003

Numerical Methods in Fluids

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SUMMARYIncompressible turbulent ow past a long square cylinder is investigated using large eddy simulations (LES). Results are presented and compared with available experimental databases for a Reynolds number Re d = 22 000. The problem served as one of the validation cases for the development of a numerical code designed for e cient, parallel, three-dimensional N-S computations in complex geometrical conÿgurations. In contrast with previous studies, the geometrical deÿnition of the problem is established by the immersed boundary concept (IMB) while pressure solution is performed by a fast, fully parallel direct pressure solver. Calculations were performed with the widely applied Smagorinsky turbulence model and the ÿltered structure function model (FSF) which has not been previously applied to the ow case under consideration. In order to assess the potential of LES at its lowest (RANS), and highest (DNS) limit, di erent numerical resolutions were examined. Depending on the available resolution, either no-slip conditions or a modiÿed Werner and Wengle approximate wall boundary condition was used. The predicted mean velocity and uctuation proÿles, force statistics and Strouhal numbers were found to be in very good agreement with the experimental data sets. Analysis of the results indicates that for time varying blu -bodies ows that involve complex ow phenomena, successful large eddy simulations are not just possible, but can also achieve an excellent quality of results at a relatively low cost.

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A Large-Eddy Simulation of the Near Wake of a Circular Cylinder

Cited by 50 publications

References 27 publications

Computing High Reynolds Number Flows by a Semi-Lagrangian Scheme

Computing High Reynolds Number Flows by a Semi-Lagrangian Scheme

A time‐implicit high‐order compact differencing and filtering scheme for large‐eddy simulation

LES of the flow past a rectangular cylinder using the immersed boundary concept

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