Comparison of multiequation turbulence models for several shock-separated boundary-layer interaction flows

Several multiequation eddy viscosity models of turbulence are used with the Navier-Stokes equations to compute three classes of experimentally documented shock-separated turbulent boundary-layer flows. The types of flow studied are: (1) a normal shock at transonic speeds in both a circular duct and a two-dimensional channel; (2) an incident oblique shock at supersonic speeds on a flat surface; and (3) a two-dimensional compression corner at supersonic speeds. Established zero-equation (algebraic), one-equation (kinetic energy), and two-equation (kinetic energy plus length scale) turbulence models are each utilized to describe the Reynolds shear stress for the three classes of flows. These models are assessed by comparing the calculated values of skin friction, wall pressure distribution, velocity, Mach number, and turbulent kinetic energy profiles with experimental measurements. Of the models tested the two-equation model results gave the best overall agreement with the data.

[1]  J. Seddon,et al.  The flow produced by interaction of a turbulent boundary layer with a normal shock wave of strength sufficient to cause separation , 1960 .

[2]  R. Maccormack,et al.  An efficient numerical method for solving the time-dependent compressible Navier-Stokes equations at high Reynolds number , 1976 .

[3]  D. C. Wilcox,et al.  Progress in Turbulence Modeling for Complex Flow F4eMs including Effects of Compressibility , 2022 .

[4]  W. Jones,et al.  The prediction of laminarization with a two-equation model of turbulence , 1972 .

[5]  R. Maccormack,et al.  Numerical simulation of supersonic and hypersonic turbulent compression corner flows using relaxation models , 1976 .

[6]  V. S. Murthy,et al.  Direct measurements of wall shear stress by buried wire gages in a shock-wave boundary-layer interaction region , 1977 .

[7]  M. J. Lanfranco,et al.  An evaluation of several compressible turbulent boundary-layer models Effects of pressure gradient and Reynolds number , 1978 .

[8]  T. J. Coakley,et al.  Numerical investigation of turbulence models for shock separated boundary-layer flows , 1977 .

[9]  W. C. Rose,et al.  The turbulent mean-flow, Reynolds-stress, and heat flux equations in mass-averaged dependent variables , 1973 .

[10]  Gary S. Settles,et al.  Reynolds Number Effects on Shock-Wave Turbulent Boundary-Layer Interactions , 1977 .

[11]  B. Launder,et al.  Lectures in mathematical models of turbulence , 1972 .

[12]  T. J. Coakley,et al.  Turbulence modeling of shock separated boundary-layer flows , 1977 .

[13]  G. S. Settles,et al.  An experimental study of compressible turbulent boundary layer separation at high Reynolds numbers , 1976 .

[14]  C. C. Horstman,et al.  Evaluation of turbulence models for three primary types of shock-separated boundary layers , 1977 .

[15]  G. Settles,et al.  Incipient separation of a supersonic turbulent boundary layer at moderate to high Reynolds numbers , 1975 .

[16]  W. Reynolds.  Computation of Turbulent Flows , 1975 .

[17]  C. C. Horstman,et al.  Investigation of a Three-Dimensional Shock Wave Separated Turbulent Boundary Layer , 1980 .

[18]  Robert W. MacCormack,et al.  Numerical solution of the interaction of a shock wave with a laminar boundary layer , 1971 .

[19]  R. M. Traci,et al.  A complete model of turbulence , 1976 .

[20]  Gary S. Settles,et al.  Details of a Shock-Separated Turbulent Boundary Layer at a Compression Corner , 1976 .

[21]  D. A. Johnson,et al.  Experiments on transonic and supersonic turbulent boundary-layer separation , 1977 .

[22]  I. E. Beckwith,et al.  Detailed description and results of a method for computing mean and fluctuating quantities in turbulent boundary layers , 1968 .

[23]  G. G. Mateer,et al.  A normal shock-wave turbulent boundary-layer interaction at transonic speeds , 1976 .

[24]  M. W. Rubesin.  A one-equation model of turbulence for use with the compressible Navier-Stokes equations , 1976 .

[25]  D. Reda,et al.  Shock wave-turbulent boundary layer interactions in rectangular channels. , 1973 .

[26]  M. J. Lanfranco,et al.  A critique of some recent second-order turbulence closure models for compressible boundary layers , 1977 .