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.
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TL;DR: In this paper, the effect of control surfaces over the flow, the flow interaction between the hull and the appendages at various Angles of Attack (AoA), and the effects of the symmetry plane is studied.
Abstract: Three dimensional (3D) flow past an Autonomous Underwater Vehicle (AUV) is simulated using a Computational Fluid Dynamics (CFD) approach at a Reynolds (Re) number of 2.09x106. A non-linear k-e (NLKE) turbulence model is used for solving the Reynolds Averaged Navier-Stokes (RANS) equations. The effect of control surfaces over the flow, the flow interaction between the hull and the appendages at various Angles of Attack (AoA) and the effect of the symmetry plane is studied. Flow structure, variation of flow variables and force distribution for various AoA are presented and discussed in detail. DOI: http://dx.doi.org/10.3329/jname.v9i2.12567 Journal of Naval Architecture and Marine Engineering 9(2012) 135-152
3 citations
Cites methods from "Three-Dimensional Simulation of Flo..."
...The implementation of this UDF was earlier validated for flow past a square cylinder (Ramesh et al, 2006) and flow past a circular cylinder (Ayyappan and Vengadesan, 2008)....
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25 Jun 2022
TL;DR: In this paper , a toroidal triangular cylinder with splitter plate inserted downstream is numerically tested for different gap ratios and plate dimensions on the flow field and heat transfer characteristics.
Abstract: Turbulent flow past an equilateral triangular cylinder with splitter plate inserted downstream is numerically tested for different gap ratios (0, 0.5, 1, 1.5, 2) and plate dimensions (0, 1, 1.5) on the flow field and heat transfer characteristics. Unsteady flow simulations are carried out at Re=22,000 in a finite volume based collocated framework, on a two-dimensional unstructured mesh. Reynolds averaged momentum and energy equations are solved in conjunction with the standard κ − ǫ model. In this study, cylinder and control plate are subjected to constant wall temperature. It is observed that the drag force on the triangular cylinder-splitter plate system reduced with an increase in gap ratio. Vortex shedding is suppressed as Strouhal number ( St ) reduced to its least value for the maximum gap-ratio configuration studied. Heat transfer performance is also significantly improved with the inclusion of a finite gap. In addition to that, the effect of variation in length of the splitter plate has also been studied on the force coefficients, Strouhal number, local and surface averaged Nusselt number. Results show that increasing the length of the splitter plate significantly suppressed the shedding with a minimum frequency obtained for the maximum plate length of L s /h = 1 . 5. However, overall heat transfer reduced with the increase in plate length.
References
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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....
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...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....
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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]....
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...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....
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...This factor was later explained by Mittal and Moin [11]....
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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.
Abstract: Many quadratic stress-strain relations have been proposed in recent years to extend the applicability of linear eddy-viscosity models at modest computational cost However, comparison shows that none achieves much greater width of applicability This paper, therefore, proposes a cubic relation between the strain and vorticity tensor and the stress tensor, which does much better than a conventional eddy-viscosity scheme in capturing effects of streamline curvature over a range of flows The flows considered range from simple shear at high strain rates and pipe flow, to flows involving strong streamline curvature and stagnation
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....
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