Abstract
LES is expected to become a powerful tool for turbulent flow calculations of practical interest in the near future. The paper is concerned with the development and first applications of a finite-volume method based on curvilinear body-fitted grids suitable to simulate flows in or around complex geometries. Two different subgrid-scale models are implemented and tested. Because the near-wall region cannot be resolved for high-Reynolds-number flows, two different wall function approaches are applied. The turbulent flow through a straight duct at two different Reynolds numbers (Re = 4410/56690) and a 180° bend (Re = 56690) is investigated. While for the low-Reynolds-number flow the results are in close agreement with DNS and other LES data, the higher Reynolds number computations are not yet satisfactory when compared with available measurements. However, the main features of the flows like Prandtl’s secondary motion of first and second kind are reasonably predicted by LES.
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References
Rogallo, R.S., Moin, P.: Numerical simulation of turbulent flows, Ann. Rev. Fluid Mech., vol. 16, pp. 99–137, (1984).
Smagoiinsky, J.: General circulation experiments with the primitive equations, I, The basic experiment, Mon. Weather Rev. 91, pp. 99–165, (1963).
Germano, M.; Piomelli, U.; Moin, P.; Cabot, W.H.: A dynamic subgrid-scale eddy viscosity model, Center of Turb. Research, Proc. of the Summer Program, (1990).
Lilly, D.K.: A proposed modification of the Germano subgrid-scale closure method, Phys. Fluids A 4(3), pp. 633–635, (1992).
Akselvoll, K., Moin, P.: Large Eddy Simulation of Backward Facing Step Flow, Eng. Turbulence Modelling & Experiments 2, ( Rodi et al., eds.), Elsevier Science Publishers B.V., pp. 303–323, (1993).
Leonard, B.P.: A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpol., Comp. Meth. Appl. Mech. Eng. vol. 19, pp. 59–98, (1979).
Zhu, J.: A low-diffusive and oscillating-free convective scheme, Communications in Applied Numerical Methods, vol. 7, pp. 225–232, (1991).
Stone, H.L.: Iterative solution of implicit approximations of multidimensional partial differential equations, SIAM J. on Num. Anal., vol. 5, pp. 530–558, (1968).
Patankar, S.V., Spalding, D.B.: A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows, Int. J. Heat & Mass Transfer, vol. 15, pp. 1778–1806, (1972).
Rhie, C.M., Chow, W.L.: A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation, AIAA J., vol. 21, pp. 1225–1532, (1983).
Miller, T.F., Schmidt, F.W.: Use of pressure-weighted interpolation method for the solution of the incompressible Navier-Stokes equations on a non-staggered grid system, Num. Heat Transfer, vol. 14, pp. 213–233, (1988).
Kobayashi, M.H., Pereira, J.C.F.: Numerical comparison of momentum interpolation methods and pressure-velocity algorithms using non-staggered grids, Comm. in Applied Num. Methods, vol. 7, pp. 173–186, (1991).
Breuer, M.: Numerische Lösung der Navier-Stokes-Gleichungen für dreidimensionale inkompressible instationäre Strömungen zur Simulation des Wirbelaufplatzens, PhD Thesis, Aerodyn. Institut, RWTH Aachen, (1991).
Schumann, U.: Subgrid-scale model for finite-difference simulations of turbulent flows in plane channels and annuli, J. Comput. Phys., 18, pp. 376–404, (1975).
Werner, H., Wengle, H.: Large-Eddy Simulation of Turbulent Flow over and around a Cube in a plate Channel, 8th Symp. on Turb. Shear Flows, ( Schumann et al., eds.), Springer Verlag, (1993).
Gavrilakis, S.: Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct, J. Fluid Mech., vol. 244, pp. 101–129, (1992).
Madabhushi, R.K., Vanka, S.P.: Large eddy simulation of turbulence-driven secondary flow in a square duct, Phys. Fluids A 3(11), pp. 27–34, (1991).
Demuren, A.O., Rodi, W.: Calculation of turbulence-driven secondary motion in non-circular ducts, J. Fluid Mech., vol. 140, pp. 189–222, (1984).
Naot, D., Rodi, W.: Numerical simulations of secondary currents in channel flow, J. Hydraul. Div. ASCE, 108,(HY8), pp. 948–968, (1982).
Brundrett, E., Baines, W.D.: The production and diffusion of vorticity in duct flow, J. Fluid Mech., vol. 19, pp. 375–394, (1964).
Gessner, F.B., Emery, A.F.: The numerical prediction of developing turbulent flow in rectangular ducts, Trans. ASME I: J. Fluids Engng. 103, pp. 445–455, (1981).
Launder, B.E., Ying, W.M.: Secondary flows in ducts of square cross-section, J. Fluid Mech., vol. 54, pp. 289–295, (1972).
Lund, E.G.: Mean Flow and Turbulence Characteristics in the near corner region of a square duct, M.S. Thesis, Dept. of Mech. Engng., Univ. of Waschington, (1977).
Choi, Y.D., Moon, C., Yang, S.H.: Measurements of turbulent flow characteristics of square duct with a 180° bend by hot wire anemometer, Intern. Symposium on Engineering Turbulence Modelling and Measurement, (1990).
Chang, S.M., Humphrey, J.A.C., Modavi, A.: Turbulent flow in a strongly curved U-bend and downstream tangent of square cross-sections, Physico Chemical Hydrodynamics, vol. 4, no. 3, pp. 243–269, (1983).
Launder, B.E.: Second-moment closure: present...and future, Lecture Series, Introd. to the Mod. of Turb., von Kar man Inst, for Fluid Dyn., Belgium, pp. 282–300, (1991).
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Breuer, M., Rodi, W. (1994). Large-Eddy Simulation of Turbulent Flow through a Straight Square Duct and a 180° Bend. In: Voke, P.R., Kleiser, L., Chollet, JP. (eds) Direct and Large-Eddy Simulation I. Fluid Mechanics and Its Applications, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1000-6_24
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DOI: https://doi.org/10.1007/978-94-011-1000-6_24
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