Progress in direct numerical simulation of turbulent transport and its control

Abstract With continuous advances in large scale computers, numerical methods and post-processing environment, direct numerical simulation (DNS) has played an important role in various fundamental studies of turbulent transport and its sophisticated control. After general remarks on grid requirement and numerical techniques of DNS, its novelty is highlighted through its recent applications to a dynamically complex flow and a flow control problem. The DNS of a channel flow under coupled dynamical effects of buoyant and Coriolis forces reveals peculiar phenomena of momentum and heat transfer with the quasi-coherent structures being strikingly altered. In a trial simulation of the active turbulence control with a virtual damping force, the most effective spatio-temporal distribution of the control input is sought by adopting a suboptimal control theory. Future directions of DNS for turbulence transport research are also discussed.

[1]  A. Patera A spectral element method for fluid dynamics: Laminar flow in a channel expansion , 1984 .

[2]  P. Moin,et al.  The minimal flow unit in near-wall turbulence , 1991, Journal of Fluid Mechanics.

[3]  Nobuhide Kasagi,et al.  Direct numerical simulation of turbulent transport with uniform wall injection and suction , 1995 .

[4]  Valerio De Angelis,et al.  Direct numerical simulation of near-interface turbulence in coupled gas-liquid flow , 1996 .

[5]  R. Moser,et al.  Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions , 1991 .

[6]  Nobuhide Kasagi,et al.  Kinematics of the quasi-coherent vortical structure in near-wall turbulence , 1995 .

[7]  Parviz Moin,et al.  The effects of curvature in wall-bounded turbulent flows , 1987, Journal of Fluid Mechanics.

[8]  P. Moin,et al.  Effects of the Computational Time Step on Numerical Solutions of Turbulent Flow , 1994 .

[9]  Parviz Moin,et al.  Direct numerical simulation of turbulent flow over riblets , 1993, Journal of Fluid Mechanics.

[10]  Parviz Moin,et al.  Active turbulence control for drag reduction in wall-bounded flows , 1994, Journal of Fluid Mechanics.

[11]  George Em Karniadakis,et al.  A direct numerical simulation of laminar and turbulent flow over riblet-mounted surfaces , 1993, Journal of Fluid Mechanics.

[12]  Chih-Ming Ho,et al.  REVIEW: MEMS and Its Applications for Flow Control , 1996 .

[13]  Parviz Moin,et al.  An improvement of fractional step methods for the incompressible Navier-Stokes equations , 1991 .

[14]  Takashi Yabe,et al.  A universal solver for hyperbolic equations by cubic-polynomial interpolation I. One-dimensional solver , 1991 .

[15]  Parviz Moin,et al.  Direct simulations of turbulent flow using finite-difference schemes , 1991 .

[16]  John B. McLaughlin,et al.  Numerical computation of particles-turbulence interaction , 1994 .

[17]  A. Fogelson,et al.  A fast numerical method for solving the three-dimensional Stokes' equations in the presence of suspended particles , 1988 .

[18]  Alexandre J. Chorin,et al.  On the Convergence of Discrete Approximations to the Navier-Stokes Equations , 1969 .

[19]  Shin-ichi Satake,et al.  Turbulence control with wall-adjacent thin layer damping spanwise velocity fluctuations , 1996 .

[20]  R. Hirsh,et al.  Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique , 1975 .

[21]  Parviz Moin,et al.  Transport of Passive Scalars in a Turbulent Channel Flow , 1989 .

[22]  J. Lumley Whither Turbulence? Turbulence at the Crossroads , 1990 .

[23]  J. Koseff,et al.  A non-staggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinates , 1994 .

[24]  Nobuhide Kasagi,et al.  Direct Numerical Simulation of Unstably Stratified Turbulent Channel Flow , 1997 .

[25]  N. Kasagi,et al.  DIRECT NUMERICAL SIMULATION OF COMBINED FORCED AND NATURAL TURBULENT CONVECTION IN A ROTATING PLANE CHANNEL , 1996 .

[26]  S. Lele Compact finite difference schemes with spectral-like resolution , 1992 .

[27]  S. K. Robinson,et al.  The kinematics of turbulent boundary layer structure , 1991 .

[28]  S. Gavrilakis,et al.  Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct , 1992, Journal of Fluid Mechanics.

[29]  P. Moin,et al.  Numerical Simulation of Turbulent Flows , 1984 .

[30]  Nobuhide Kasagi,et al.  Direct numerical simulation of combined forced and natural turbulent convection in a vertical plane channel , 1997 .

[31]  Je-Chin Han,et al.  Effect of uneven wall temperature on local heat transfer in a rotating square channel with smooth walls and radial outward flow , 1992 .

[32]  John L. Lumley,et al.  Active control in the turbulent wall layer of a minimal flow unit , 1996, Journal of Fluid Mechanics.

[33]  A. Leonard,et al.  Direct Numerical Simulation of Equilibrium Turbulent Boundary Layers , 1987 .

[34]  R. Temam,et al.  On some control problems in fluid mechanics , 1990 .

[35]  S. Orszag Spectral methods for problems in complex geometries , 1980 .

[36]  Nobuhide Kasagi,et al.  Evaluation of hot-wire measurements in wall shear turbulence using a direct numerical simulation database , 1992 .

[37]  N. Kasagi,et al.  Direct Numerical Simulation of Low Prandtl Number Thermal Field in a Turbulent Channel Flow , 1993 .

[38]  Roger E. A. Arndt,et al.  Advances in Turbulence , 1988, Lecture Notes in Mechanical Engineering.

[39]  Norberto Mangiavacchi,et al.  Suppression of turbulence in wall‐bounded flows by high‐frequency spanwise oscillations , 1992 .

[40]  G. Mariotti,et al.  Direct numerical simulation of particle behaviour in the wall region of turbulent flows in horizontal channels , 1992 .

[41]  W. C. Reynolds,et al.  The potential and limitations of direct and large eddy simulations , 1990 .

[42]  R. Friedrich,et al.  On Direct and Large Eddy Simulation of Turbulence , 1986 .

[43]  T. Taylor,et al.  Computational methods for fluid flow , 1982 .

[44]  R. Goodman,et al.  Application of neural networks to turbulence control for drag reduction , 1997 .

[45]  R. Temam,et al.  Feedback control for unsteady flow and its application to the stochastic Burgers equation , 1993, Journal of Fluid Mechanics.

[46]  N. Kasagi,et al.  Direct Numerical Simulation of Passive Scalar Field in a Turbulent Channel Flow , 1992 .

[47]  P. Moin,et al.  Application of a Fractional-Step Method to Incompressible Navier-Stokes Equations , 1984 .

[48]  S. Osher,et al.  A level set approach for computing solutions to incompressible two-phase flow , 1994 .

[49]  P. Moin,et al.  Direct numerical simulation of transition and turbulence in a spatially evolving boundary layer , 1991 .

[50]  S. Elghobashi,et al.  On the two-way interaction between homogeneous turbulence and dispersed solid particles. I: Turbulence modification , 1993 .

[51]  S. K. Robinson,et al.  Coherent Motions in the Turbulent Boundary Layer , 1991 .

[52]  Y. Adam,et al.  Highly accurate compact implicit methods and boundary conditions , 1977 .

[53]  Nobuhide Kasagi,et al.  Contribution of direct numerical simulation to understanding and modelling turbulent transport , 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[54]  D. B. Spalding,et al.  Turbulent shear flows , 1980 .

[55]  Parviz Moin,et al.  Feedback Control of Turbulence , 1994 .

[56]  P. Moin,et al.  Turbulence statistics in fully developed channel flow at low Reynolds number , 1987, Journal of Fluid Mechanics.

[57]  S. Balachandar,et al.  A divergence-free Chebyshev collocation procedure for incompressible flows with two non-periodic directions , 1993 .

[58]  R. B. Dean Reynolds Number Dependence of Skin Friction and Other Bulk Flow Variables in Two-Dimensional Rectangular Duct Flow , 1978 .

[59]  James P. Johnston,et al.  Effects of spanwise rotation on the structure of two-dimensional fully developed turbulent channel flow , 1972, Journal of Fluid Mechanics.