Direct numerical simulation of a fully developed turbulent square duct flow up to Reτ=1200

Adams, 2011, Modelling and simulation of particle re-suspension in a turbulent square duct flow, Comput. Chem. Eng., 35, 893, 10.1016/j.compchemeng.2011.01.040 Alfredsson, 1988, The fluctuating wall-shear stress and the velocity field in the viscous sublayer, Phys. Fluids (1958–1988), 31, 1026, 10.1063/1.866783 Chorin, 1968, Numerical solution of the Navier–Stokes equations, J. Comput. Phys., 22, 745 Fairweather, 2008, Large eddy simulation of particle dispersion in a straight, square duet flow, Comput. Aid. Chem. Eng., 25, 829, 10.1016/S1570-7946(08)80144-7 Gavrilakis, 1992, Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct, J. Fluid Mech., 244, 101, 10.1017/S0022112092002982 Gorobets, 2011, Hybrid MPI+OpenMP parallelization of an FFT-based 3D Poisson solver with one periodic direction, Comput. Fluids, 49, 101, 10.1016/j.compfluid.2011.05.003 Grötzbach, 2011, Revisiting the resolution requirements for turbulence simulations in nuclear heat transfer, Nucl. Eng. Des., 241, 4379, 10.1016/j.nucengdes.2010.12.027 Hartnett, 1962, A comparison of predicted and measured friction factors for turbulent flow through rectangular ducts, J. Heat Transfer, 84, 82, 10.1115/1.3684299 Hsu, 2011, A parallel multilevel preconditioned iterative pressure Poisson solver for the large-eddy simulation of turbulent flow inside a duct, Comput. Fluids, 45, 138, 10.1016/j.compfluid.2010.12.011 Hsu, 2012, Large eddy simulations of turbulent Couette–Poiseuille and Couette flows inside a square duct, J. Fluid Mech., 702, 89, 10.1017/jfm.2012.160 Huser, 1993, Direct numerical simulation of turbulent flow in a square duct, J. Fluid Mech., 257, 65, 10.1017/S002211209300299X Huser, 1994, Direct simulation of turbulent flow in a square duct: Reynolds-stress budgets, Phys. Fluids, 6, 3144, 10.1063/1.868138 Jones, 1976, An improvement in the calculation of turbulent friction in rectangular ducts, J. Fluids Eng., 98, 173, 10.1115/1.3448250 Joung, 2007, Direct numerical simulation of turbulent flow in a square duct: analysis of secondary flows, J. Eng. Mech., 133, 213, 10.1061/(ASCE)0733-9399(2007)133:2(213) Kim, 2014, Reynolds number effect on turbulent secondary flow in a duct, J. Mech. Sci. Technol., 28, 1311, 10.1007/s12206-013-1161-0 Kim, 1987, Turbulence statistics in fully developed channel flow at low Reynolds number, J. Fluid Mech., 177, 133, 10.1017/S0022112087000892 Lo, 2006, Mean and turbulence structures of Couette–Poiseuille flows at different mean shear rates in a square duct, Phys. Fluids, 18, 068103, 10.1063/1.2210019 Madabhushi, 1991, Large eddy simulation of turbulence-driven secondary flow in a square duct, Phys. Fluids A: Fluid Dynam. (1989–1993), 3, 2734, 10.1063/1.858163 Ma, 2007, Direct numerical simulation of turbulent flow and heat transfer in a square duct with natural convection, Heat Mass Transfer, 44, 229, 10.1007/s00231-007-0244-9 Moin, 1998, Direct numerical simulation: a tool in turbulence research, Ann. Rev. Fluid Mech., 30, 539, 10.1146/annurev.fluid.30.1.539 Nikuradse, 1926 Pallares, 2000, Large-eddy simulations of turbulent flow in a rotating square duct, Phys. Fluids, 12, 2878, 10.1063/1.1309533 Pallares, 2002, Large-eddy simulations of turbulent heat transfer in stationary and rotating square ducts, Phys. Fluids, 14, 2804, 10.1063/1.1489684 Piller, 2002, Direct numerical simulation of turbulent heat transfer in a square duct, Int. J. Numer. Methods Heat Fluid Flow, 6, 658, 10.1108/09615530210438346 Pinelli, 2010, Reynolds number dependence of mean flow structure in square duct turbulence, J. Fluid Mech., 644, 107, 10.1017/S0022112009992242 Popovich, 1967, Experimental study of the viscous sublayer in turbulent pipe flow, AIChE J., 13, 854, 10.1002/aic.690130509 Quadrio, 2003, Integral space-time scales in turbulent wall flows, Phys. Fluids, 15, 2219, 10.1063/1.1586273 Rai, 1991, Direct simulations of turbulent flow using finite-difference schemes, J. Comput. Phys., 96, 15, 10.1016/0021-9991(91)90264-L Raiesi, 2011, Evaluation of turbulence models using direct numerical and large-eddy simulation data, J. Fluids Eng., 133, 021203, 10.1115/1.4003425 Rokni, 2001, Predicting turbulent convective heat transfer in fully developed duct flows, Int. J. Heat Fluid Flow, 22, 381, 10.1016/S0142-727X(01)00104-7 Sharma, 2006, Turbulent transport of particles in a straight square duct, Int. J. Multiphase Flow, 32, 823, 10.1016/j.ijmultiphaseflow.2006.02.010 Trias, 2011, A self-adaptive strategy for the time integration of Navier–Stokes equations, Numer. Heat Transfer, Part B: Fund., 60, 116, 10.1080/10407790.2011.594398 Trias, 2007, Direct numerical simulations of two- and three-dimensional turbulent natural convection flows in a differentially heated cavity of aspect ratio 4, J. Fluid Mech., 586, 259, 10.1017/S0022112007006908 Uhlmann, 2007, Marginally turbulent flow in a square duct, J. Fluid Mech., 588, 153, 10.1017/S0022112007007604 Vázquez, 2002, Large-eddy simulation of the turbulent flow through a heated square duct, J. Fluid Mech., 453, 201, 10.1017/S0022112001006887 Verstappen, 2003, Symmetry-preserving discretization of turbulent flow, J. Comput. Phys., 187, 343, 10.1016/S0021-9991(03)00126-8 Vreman, 2014, Comparison of direct numerical simulation databases of turbulent channel flow at Reτ=180, Phys. Fluids, 26, 015102, 10.1063/1.4861064 Winkler, 2009, Relative importance of the lift force on heavy particles due to turbulence driven secondary flows, Powder Technol., 190, 310, 10.1016/j.powtec.2008.08.015 Winkler, 2004, Preferential concentration of particles in a fully developed turbulent square duct flow, Int. J. Multiphase Flow, 30, 27, 10.1016/j.ijmultiphaseflow.2003.11.003 Xu, 2009, Direct numerical simulation of turbulence in a square annular duct, J. Fluid Mech., 621, 23, 10.1017/S0022112008004813 Xu, 2001, Large eddy simulation of turbulent flow in a square annular duct, Phys. Fluids, 13, 3321, 10.1063/1.1410386 Yang, 2010, Direct numerical simulation of turbulent flow and combined convective heat transfer in a square duct with axial rotation, Int. J. Heat Mass Transfer, 53, 5400, 10.1016/j.ijheatmasstransfer.2010.07.016 Zhang, H., Trias, F.X., Tan, Y., Sheng, Y., Oliva, A., 2011. Parallelization of a DEM/CFD code for the numerical simulation of particle-laden turbulent flow. In: 23rd International Conference on Parallel Computational Fluid Dynamics, Barcelona, 2011, pp. 1–5. Zhang, H., Trias, F.X., Gorobets, A., Yang, D., Oliva, A., Tan, Y., 2014. Numerical investigation on particle resuspension in turbulent duct flow via DNS-DEM: effect of collisions. In: 11th. World Congress on Computational Mechanics (WCCM XI), 2014, pp. 1–8. Zhang, 2015, Effect of collisions on the particle behavior in a turbulent square duct flow, Powder Technol., 269, 320, 10.1016/j.powtec.2014.08.070 Zhu, 2009, Direct numerical simulation of turbulent flow in a straight square duct at Reynolds Number 600, J. Hydrodynam. Ser. B, 21, 600, 10.1016/S1001-6058(08)60190-0 Zhu, 2010, Numerical study of turbulent heat and fluid flow in a straight square duct at higher Reynolds numbers, Int. J. Heat Mass Transfer, 53, 356, 10.1016/j.ijheatmasstransfer.2009.09.021