Direct numerical simulation of flow separation behind a swept, rearward-facing step at ReH=3000

The effect of sweep on a transitional separation bubble behind a backward-facing step is investigated using direct numerical simulation (DNS). The Reynolds number based on step height and free stream component normal to the step, Reα=(HC∞ cos α)/ν, is kept constant at 3000 for sweep angles α between 0° and 60°. Results agree well with two experimental investigations. Up to α=40°, the mean flow follows the sweep-independence principle. For higher sweep angles, the size of the separated flow region is shortened considerably which is mainly due to an upstream shift of transition in the laminar shear layer emanating from the step and—to a lesser degree—to an increase in turbulent momentum flux uv¯. Fluctuations of wall-stress and wall pressure are largest near the reattachment location and their magnitude scales with (C∞ cos α)2 for all sweep angles. Transition is dominated by a Kelvin–Helmholtz-type instability of the free shear layer. The influence of skewing on the growth rate of instability waves is weak ...

[1]  Peter Freymuth,et al.  On transition in a separated laminar boundary layer , 1966, Journal of Fluid Mechanics.

[2]  James P. Johnston,et al.  Measurements in a three-dimensional turbulent boundary layer induced by a swept, forward-facing step , 1970, Journal of Fluid Mechanics.

[3]  A. Townsend The Structure of Turbulent Shear Flow , 1975 .

[4]  David G. Lilley,et al.  Swirl Flows in Combustion: A Review , 1977 .

[5]  G. Selby Phenomenological study of subsonic turbulent flow over a swept rearward-facing step. Ph.D. Thesis , 1982 .

[6]  B. Armaly,et al.  Experimental and theoretical investigation of backward-facing step flow , 1983, Journal of Fluid Mechanics.

[7]  G. Selby Applicability of the independence principle to subsonic turbulent flow over a swept rearward-facing step , 1983 .

[8]  Chih-Ming Ho,et al.  Perturbed Free Shear Layers , 1984 .

[9]  J. Sislian,et al.  Measurements of mean velocity and turbulent intensities in a free isothermal swirling jet , 1986 .

[10]  P. Bradshaw Turbulent secondary flows , 1987 .

[11]  D. Driver,et al.  Experimental Study of a Three-Dimensional, Shear-Driven, Turbulent Boundary Layer , 1987 .

[12]  B. Wolf,et al.  Swept and unswept separation bubbles , 1987 .

[13]  Parviz Moin,et al.  Direct numerical simulation of a three‐dimensional turbulent boundary layer , 1990 .

[14]  F. Fahy,et al.  Mechanics of flow-induced sound and vibration , 1989 .

[15]  T. Balsa Three-dimensional wave packets and instability waves in free shear layers and their receptivity , 1989, Journal of Fluid Mechanics.

[16]  Rainer Friedrich,et al.  ANALYSING TURBULENT BACKWARD-FACING STEP FLOW WITH THE LOWPASS-FILTERED NAVIER-STOKES EQUATIONS , 1990 .

[17]  J. Danberg,et al.  Correlation of mean velocity measurements downstream of a swept backward-facing step , 1991 .

[18]  George Em Karniadakis,et al.  Onset of three-dimensionality, equilibria, and early transition in flow over a backward-facing step , 1991, Journal of Fluid Mechanics.

[19]  Comparison of Chemical Kinetic Rate Mechanisms for High-Temperature Air, Including Electronic Energy , 1992 .

[20]  P. Moin,et al.  Simulation of spatially evolving turbulence and the applicability of Taylor's hypothesis in compressible flow , 1992 .

[21]  Haecheon Choi,et al.  Turbulent Drag Reduction: Studies of Feedback Control and Flow Over Riblets , 1993 .

[22]  P. Moin,et al.  Direct numerical simulation of turbulent flow over a backward-facing step , 1997, Journal of Fluid Mechanics.

[23]  On the separated flow behind a swept backward-facing step , 1993 .

[24]  Marcel Lesieur,et al.  A numerical investigation of the coherent vortices in turbulence behind a backward-facing step , 1993, Journal of Fluid Mechanics.

[25]  A. Spence,et al.  Is the steady viscous incompressible two‐dimensional flow over a backward‐facing step at Re = 800 stable? , 1993 .

[26]  S. Lele,et al.  Inviscid instability of a skewed compressible mixing layer , 1993, Journal of Fluid Mechanics.

[27]  J. Eaton,et al.  Near-wall measurements in a three-dimensional turbulent boundary layer , 1995, Journal of Fluid Mechanics.

[28]  J. Eaton Effects of mean flow three dimensionality on turbulent boundary-layer structure , 1995 .

[29]  James P. Johnston,et al.  Review : Advances in three-dimensional turbulent boundary layers with emphasis on the wall-layer regions , 1996 .

[30]  Parviz Moin,et al.  An Efficient Method for Temporal Integration of the Navier-Stokes Equations in Confined Axisymmetric Geometries , 1996 .

[31]  John K. Eaton,et al.  Turbulence characteristics of a boundary layer over a swept bump , 1996, Journal of Fluid Mechanics.

[32]  P. Orlandi Helicity fluctuations and turbulent energy production in rotating and non-rotating pipes , 1997 .

[33]  Christian Oliver Paschereit,et al.  Three-dimensional mixing layers and their relatives , 1998 .

[34]  Xiaohua Wu,et al.  Prediction of the Three-Dimensional Turbulent Boundary Layer over a Swept Bump , 1998 .

[35]  Neil D. Sandham,et al.  Direct and Large-Eddy Simulation III , 1999 .

[36]  H. Kaltenbach Direct Numerical Simulation of Flow over a Swept Rearward-Facing Step , 1999 .

[37]  Asymptotic growth of disturbances from spatially compact source in a skewed mixing layer , 1999 .

[38]  R. Joslin,et al.  Large-eddy simulation of boundary-layer transition on a swept wedge , 1999, Journal of Fluid Mechanics.

[39]  André Huppertz,et al.  The manipulated transitional backward-facing step flow: an experimental and direct numerical simulation investigation , 2001 .