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A numerical study of strained three-dimensional wall-bounded turbulence

By G.N. Coleman, J. Kim and P.R. Spalart


Channel flow, initially fully developed and two-dimensional, is subjected to mean strains that emulate the effect of rapid changes of streamwise and spanwise pressure gradients in three-dimensional boundary layers, ducts, or diffusers. As in previous studies of homogeneous turbulence, this is done by deforming the domain of a direct numerical simulation (DNS); here however the domain is periodic in only two directions and contains parallel walls. The velocity difference between the inner and outer layers is controlled by accelerating the channel walls in their own plane, as in earlier studies of three-dimensional channel flows. By simultaneously moving the walls and straining the domain we duplicate both the inner and outer regions of the spatially developing case. The results are used to address basic physics and modelling issues. Flows subject to impulsive mean three-dimensionality with and without the mean deceleration of an adverse pressure gradient (APG) are considered: strains imitating swept-wing and pure skewing (sideways turning) three-dimensional boundary layers are imposed. The APG influences the structure of the turbulence, measured for example by the ratio of shear stress to kinetic energy, much more than does the pure skewing. For both deformations, the evolution of the Reynolds stress is profoundly affected by changes to the velocity–pressure-gradient correlation [Pi]ij. This term – which represents the finite time required for the mean strain to modify the shape and orientation of the turbulent motions – is primarily responsible for the difference (lag) in direction between the mean shear and the turbulent shear stresses, a well-known feature of perturbed three-dimensional boundary layers. Files containing the DNS database and model-testing software are available from the authors for distribution, as tools for future closure-model testing

Topics: TA
Year: 2000
OAI identifier: oai:eprints.soton.ac.uk:21326
Provided by: e-Prints Soton

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  13. (1985). Measurements in the turbulent boundary layer on an `in swept wing.
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  15. (1991). N a g a n o ,Y . ,T a g a w a ,M .&T s u j i ,T .1991 Eects of adverse pressure gradients on mean flows and turbulence statistics in a boundary layer.
  16. (1993). Near-wall investigation of three-dimensional turbulent boundary layers.
  17. (1999). Near-wall turbulence structures in three-dimensional boundary layers.
  18. (1981). Numerical experiments in homogeneous turbulence.
  19. (1985). Numerical experiments on the structure of homogeneous turbulence.
  20. (1991). Numerical simulation of compressible homogeneous turbulence.
  21. (1997). Numerical study of a separation bubble with heat transfer.
  22. (1998). On the modi of the near-wall coherent structure in a three-dimensional turbulent boundary layer on a free rotating disk.
  23. (1996). Review of advances in three-dimensional turbulent boundary layers with emphasis on the wall-layer regions.
  24. (1989). Reynolds stress development in pressure-driven threedimensional turbulent boundary layers.
  25. (1975). Reynolds stress tensors in an end-wall three-dimensional channel boundary layer.
  26. (1988). Reynolds-stress and dissipation-rate budgets in a turbulent channel flow.
  27. (1951). Secondary circulation in fluid flow.
  28. (1999). Similarity statistics from a direct numerical simulation of the neutrally strati planetary boundary layer.
  29. (1996). Simulation and modelling of the skew response of turbulent channel flow to spanwise flow deformation.
  30. (1991). Spectral methods for the Navier{Stokes equations with one in and two periodic directions.
  31. (1992). Suppression of turbulence in wall-bounded flows by high-frequency spanwise oscillations.
  32. (2000). The evolution of strained turbulent plane wakes.
  33. (1966). The experiment on the skewed boundary layer on a rotating body.
  34. (1992). The near wall mechanics of three-dimensional turbulent boundary layers.
  35. (1976). The response of a developed turbulent boundary layer to local transverse surface motion.
  36. (1985). The response of turbulent boundary layers to sudden perturbations.
  37. (1954). The secondary flow about struts and airfoils.
  38. (1951). The secondary flow in a cascade of airfoils in a nonuniform stream.
  39. (1989). Theoretical and numerical study of a three-dimensional turbulent boundary layer.
  40. (1991). Three-dimensional turbulent boundary layer flow over a spinning cylinder.
  41. (1988). Three-Dimensional Turbulent Boundary Layers{Calculations and Experiments.
  42. (1993). Three-dimensional turbulent flow around the Garteur swept wing.
  43. (1996). Turbulence characteristics of a boundary layer over a swept bump.
  44. (1994). Turbulence characteristics of the boundary layer on a rotating disk.
  45. (1981). Turbulence measurements in an adverse-pressure-gradient three-dimensional turbulent boundary layer along a circular cylinder.
  46. (1998). Turbulence Modeling for CFD. DCW Industries (www.dcwindustries.com).
  47. (1994). Turbulence reduction in a boundary layer by a local spanwise oscillating surface.
  48. (1987). Turbulence statistics in fully developed channel flow at low Reynolds number.
  49. (1994). Turbulence structural changes for a three-dimensional turbulent boundary layer in a 30 bend.
  50. (1987). Turbulent secondary flows.

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