Advanced Turbulence Modelling of Separated Flow in a Diffuser

The paper describes an investigation into the predictive performance of linear and non-linear eddy-viscosity models and differential stress-transport closures for separated flow in a nominally two-dimensional, asymmetric diffuser. The test case forms part of a broader collaborative exercise between academic and industrial partners. It is demonstrated that advanced turbulence models using strain-dependent coefficients and anisotropy-resolving closure offer tangible advantages in predictive capability, although the quality of their performance can vary significantly, depending on the details of closure approximations adopted. Certain features of the flow defy resolution by any of the closures investigated. In particular, no model resolves correctly the flow near the diffuser's inclined wall immediately downstream of the inlet corner, which may reflect the presence of a “flapping” motion associated with a highly-localised process of unsteady separation and reattachment.

[1]  B. Launder,et al.  Development and application of a cubic eddy-viscosity model of turbulence , 1996 .

[2]  T. Gatski,et al.  Modelling the pressure–strain correlation of turbulence: an invariant dynamical systems approach , 1991, Journal of Fluid Mechanics.

[3]  Wolfgang Rodi,et al.  Calculation of Annular and Twin Parallel Jets Using Various Discretization Schemes and Turbulence-Model Variations , 1981 .

[4]  Stavros Kassinos,et al.  One-point modelling of rapidly deformed homogeneous turbulence , 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[5]  Charles G. Speziale,et al.  Towards the development of second-order closure models for nonequilibrium turbulent flows , 1996 .

[6]  Paul Batten,et al.  Reynolds-Stress-Transport Modeling for Compressible Aerodynamics Applications , 1999 .

[7]  B. Launder,et al.  Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc , 1974 .

[8]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .

[9]  D. Wilcox Simulation of Transition with a Two-Equation Turbulence Model , 1994 .

[10]  Kazuhiko Suga,et al.  Prediction of turbulent transitional phenomena with a nonlinear eddy-viscosity model , 1997 .

[11]  T. Gatski,et al.  On explicit algebraic stress models for complex turbulent flows , 1992, Journal of Fluid Mechanics.

[12]  Suad Jakirlić,et al.  Expanding the limits of “equilibrium” second-moment turbulence closures , 1997 .

[13]  Debra Spinks,et al.  Annual Research Briefs , 1997 .

[14]  A. Gould,et al.  Application of two-equation turbulence models in aircraft design , 1996 .

[15]  D. Wilcox Multiscale model for turbulent flows , 1986 .

[16]  P. Durbin SEPARATED FLOW COMPUTATIONS WITH THE K-E-V2 MODEL , 1995 .

[17]  Tim Craft,et al.  Developments in a low-Reynolds-number second-moment closure and its application to separating and reattaching flows , 1998 .

[18]  P. Spalart A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[19]  D. Wilcox Reassessment of the scale-determining equation for advanced turbulence models , 1988 .

[20]  S. Pope A more general effective-viscosity hypothesis , 1975, Journal of Fluid Mechanics.

[21]  T. Barth,et al.  A one-equation turbulence transport model for high Reynolds number wall-bounded flows , 1990 .

[22]  F. Menter Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[23]  David D. Apsley,et al.  A new low-Reynolds-number nonlinear two-equation turbulence model for complex flows , 1998 .

[24]  John K. Eaton,et al.  Experimental investigation of flow through an asymmetric plane diffuser , 2000 .

[25]  B. Launder,et al.  Progress in the development of a Reynolds-stress turbulence closure , 1975, Journal of Fluid Mechanics.

[26]  F. Lien,et al.  A Pressure-Velocity Solution Strategy for Compressible Flow and Its Application to Shock/Boundary-Layer Interaction Using Second-Moment Turbulence Closure , 1993 .

[27]  B. Launder,et al.  Ground effects on pressure fluctuations in the atmospheric boundary layer , 1978, Journal of Fluid Mechanics.