Three-Dimensional Simulation of Flow Past a Circular Cylinder by Nonlinear Turbulence Model
19 May 2008-Numerical Heat Transfer Part A-applications (Taylor & Francis Group)-Vol. 54, Iss: 2, pp 221-234
TL;DR: In this paper, a nonlinear turbulence model based on the k-e formulation is used to achieve the turbulent closure of flow past a circular cylinder at subcritical Reynolds number Re = 3,900 is performed using three-dimensional, unsteady, Reynolds-Averaged Navier-Stokes (URANS) equations.
Abstract: Numerical simulation of flow past a circular cylinder at sub-critical Reynolds number Re = 3,900 is performed using three-dimensional, unsteady, Reynolds–Averaged Navier-Stokes (URANS) equations. A nonlinear turbulence model based on the k–e formulation is used to achieve the turbulent closure. The results obtained by the simulations are compared with experimental and previously reported numerical results. The grid used for the present simulation is reasonable, and the accuracy obtained is good considering the computational cost involved in carrying out large-eddy simulations (LES) for the same test case. The test flow is also simulated using standard k–e model, and the results obtained by the nonlinear k–e model are found to be better.
Citations
More filters
TL;DR: In this article, the authors employed partially-averaged Navier-Stokes (PANS) equations to simulate the flow around a smooth circular cylinder at Reynolds number 3900 and evaluated the importance of discretization and modelling errors on the accuracy of this mathematical model.
64 citations
TL;DR: A comprehensive survey of the literature in the area of numerical heat transfer (NHT) published between 2000 and 2009 has been conducted by as mentioned in this paper, where the authors conducted a comprehensive survey.
Abstract: A comprehensive survey of the literature in the area of numerical heat transfer (NHT) published between 2000 and 2009 has been conducted Due to the immenseness of the literature volume, the survey
58 citations
TL;DR: In this paper, the effect of angle of attack over flow structure, force coefficients and wall related flow variables are discussed in detail, and the non-linear k-e turbulence model is validated against DARPA Suboff axisymmetric hull.
Abstract: This paper addresses the Computational Fluid Dynamics Approach (CFD) to simulate the flow over underwater axisymmetric bodies at higher angle of attacks. Three Dimensional (3D) flow simulation is carried out over MAYA Autonomous Underwater Vehicle (AUV) at a Reynolds number (Re) of 2.09×10 6 . These 3D flows are complex due to cross flow interaction with hull which produces nonlinearity in the flow. Cross flow interaction between pressure side and suction side is studied in the presence of angle of attack. For the present study standard k-e model, non-linear k-e model models of turbulence are used for solving the Reynolds Averaged Navier-Stokes Equation (RANS). The non-linear k-e turbulence model is validated against DARPA Suboff axisymmetric hull and its applicability for flow simulation over underwater axisymmetric hull is examined. The non-linear k-e model performs well in 3D complex turbulent flows with flow separation and flow reattachment. The effect of angle of attack over flow structure, force coefficients and wall related flow variables are discussed in detail. Keywords: Computational Fluid Dynamics (CFD); Autonomous Underwater Vehicle (AUV); Reynolds averaged Navier-Stokes Equation (RANS); non-linear k-e turbulence model doi: http://dx.doi.org/10.3329/jname.v8i2.6984 Journal of Naval Architecture and Marine Engineering 8(2011) 149-163
22 citations
Cites methods from "Three-Dimensional Simulation of Flo..."
...Earlier, UDF implementation had been validated for flow past a square cylinder [Ramesh et al (2006)] and for a circular cylinder [Ayyappan and Vengadesan (2008)]....
[...]
TL;DR: The main challenges to prediction of turbulent external flows of practical interest with Reynolds-Averaged Navier–Stokes equations (RANS) and Scale-Resolving Simulation (SRS) models are investigated and bridging models are revealed better suited for prediction.
Abstract: We investigate the main challenges to prediction of turbulent external flows of practical interest with Reynolds-Averaged Navier–Stokes equations (RANS) and Scale-Resolving Simulation (SRS) models. This represents a crucial step toward further developing and establishing these formulations so they can be confidently utilized in engineering problems without reference data. The study initiates by identifying the major challenges to prediction. A literature review is performed to illustrate their effects in RANS and SRS computations. Afterward, we evaluate the impact of the challenges to prediction by analyzing representative statistically steady and unsteady flows with prominent RANS and SRS methods. These include multiple turbulent viscosity and second-moment RANS closures, and hybrid and bridging SRS models. The results demonstrate the potential of the selected SRS models to predict engineering flows. Yet, they also show the importance of considering the challenges to prediction during the setup and conduction of numerical experiments. These can suppress the advantages of using SRS formulations. The data also indicate that only SRS models can confidently predict statistically unsteady flows. In contrast, the results demonstrate that mean-flow quantities of statistically steady flows can be efficiently calculated with RANS closures, especially second-moment closures. Among the selected SRS methods, bridging models reveal better suited for prediction due to their ability to prevent commutation errors and enable the robust evaluation of numerical and modeling errors. This last property allows the use of a new validation technique that does not require reference data.
22 citations
TL;DR: In this paper, the macroscopic turbulence quantities for porous media were computed and analyzed for different Reynolds numbers as well as for different porosity levels, and the results showed that the spatial dispersion of the mean flow is the main contributor to this quantity at low porosities.
21 citations
References
More filters
TL;DR: In this paper, a global numerical stability analysis of the periodic wake of a circular cylinder for Reynolds numbers between 140 and 300 is presented, showing that the two-dimensional wake becomes (absolutely) linearly unstable to three-dimensional perturbations at a critical Reynolds number of 1885±10.
Abstract: Results are reported from a highly accurate, global numerical stability analysis of the periodic wake of a circular cylinder for Reynolds numbers between 140 and 300 The analysis shows that the two-dimensional wake becomes (absolutely) linearly unstable to three-dimensional perturbations at a critical Reynolds number of 1885±10 The critical spanwise wavelength is 396 ± 002 diameters and the critical Floquet mode corresponds to a ‘Mode A’ instability At Reynolds number 259 the two-dimensional wake becomes linearly unstable to a second branch of modes with wavelength 0822 diameters at onset Stability spectra and corresponding neutral stability curves are presented for Reynolds numbers up to 300
792 citations
"Three-Dimensional Simulation of Flo..." refers methods in this paper
...The three-dimensional Floquet stability analysis reported by Barkley and Henderson [17] and the experiment done by Prasad and Williamson [18] at subcritical Reynolds number showed the dominant spanwise scales having wavelengths of approximately three to four cylinder diameters in the Reynolds number range 180 < Re < 240....
[...]
...The three-dimensional Floquet stability analysis reported by Barkley and Henderson [17] and the experiment done by Prasad and Williamson [18] at subcritical Reynolds number showed the dominant spanwise scales having wavelengths of approximately three to four cylinder diameters in the Reynolds number range 180 Re 240....
[...]
01 Nov 1992
TL;DR: Explicit algebraic stress models that are valid for three-dimensional turbulent flows in noninertial frames are systematically derived from a hierarchy of second-order closure models.
Abstract: Explicit algebraic stress models that are valid for three-dimensional turbulent flows in noninertial frames are systematically derived from a hierarchy of second-order closure models. This represents a generalization of the model derived by Pope who based his analysis on the Launder, Reece, and Rodi model restricted to two-dimensional turbulent flows in an inertial frame. The relationship between the new models and traditional algebraic stress models -- as well as anistropic eddy visosity models -- is theoretically established. The need for regularization is demonstrated in an effort to explain why traditional algebraic stress models have failed in complex flows. It is also shown that these explicit algebraic stress models can shed new light on what second-order closure models predict for the equilibrium states of homogeneous turbulent flows and can serve as a useful alternative in practical computations.
784 citations
TL;DR: Explicit algebraic stress models that are valid for three-dimensional turbulent flows in noninertial frames are systematically derived from a hierarchy of second-order closure models as discussed by the authors.
Abstract: Explicit algebraic stress models that are valid for three-dimensional turbulent flows in noninertial frames are systematically derived from a hierarchy of second-order closure models. This represents a generalization of the model derived by Pope who based his analysis on the Launder, Reece, and Rodi model restricted to two-dimensional turbulent flows in an inertial frame. The relationship between the new models and traditional algebraic stress models -- as well as anistropic eddy visosity models -- is theoretically established. The need for regularization is demonstrated in an effort to explain why traditional algebraic stress models have failed in complex flows. It is also shown that these explicit algebraic stress models can shed new light on what second-order closure models predict for the equilibrium states of homogeneous turbulent flows and can serve as a useful alternative in practical computations.
774 citations
TL;DR: In this paper, a high-order accurate numerical method based on B-splines and compared with previous upwindbiased and central finite-difference simulations and with the existing experimental data is presented.
Abstract: Flow over a circular cylinder at Reynolds number 3900 is studied numerically using the technique of large eddy simulation. The computations are carried out with a high-order accurate numerical method based on B-splines and compared with previous upwind-biased and central finite-difference simulations and with the existing experimental data. In the very near wake, all three simulations are in agreement with each other. Farther downstream, the results of the B-spline computations are in better agreement with the hot-wire experiment of Ong and Wallace [Exp. Fluids 20, 441–453 (1996)] than those obtained in the finite-difference simulations. In particular, the power spectra of velocity fluctuations are in excellent agreement with the experimental data. The impact of numerical resolution on the shear layer transition is investigated.
641 citations
"Three-Dimensional Simulation of Flo..." refers methods in this paper
...The same test case was simulated using LES technique by Breuer [12] and by Krevechenko and Moin [13]....
[...]
...Beaudan and Moin [9] (hereafter referred to as BM) were the first to carry out a detailed LES study for the subcritical flow past a circular cylinder at Re ¼ 3,900....
[...]
...This factor was later explained by Mittal and Moin [11]....
[...]
TL;DR: In this article, a cubic relation between the strain and vorticity tensor and the stress tensor was proposed, which does much better than a conventional eddy-viscosity scheme in capturing effects of streamline curvature over a range of flows.
578 citations
"Three-Dimensional Simulation of Flo..." refers background in this paper
...[2] model and predicted the drag crisis at Re 1⁄4 2 10(5), and they proved the suitability of nonlinear turbulence models....
[...]