0
TECHNICAL PAPERS

Detached-Eddy Simulation With Compressibility Corrections Applied to a Supersonic Axisymmetric Base Flow

[+] Author and Article Information
James R. Forsythe

Department of Aeronautics, United States Air Force Academy, USAF Academy, CO 80840

Klaus A. Hoffmann

Department of Aerospace Engineering, Wichita State University, Wichita, KS 67260

Russell M. Cummings

Department of Aerospace Engineering, California Polytechnic State University, San Luis Obispo, CA 93407

Kyle D. Squires

Department of Mechanical Engineering, Arizona State University, Tempe, AZ 85287

J. Fluids Eng 124(4), 911-923 (Dec 04, 2002) (13 pages) doi:10.1115/1.1517572 History: Received March 20, 2002; Revised July 02, 2002; Online December 04, 2002
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.

References

Forsythe, J. R., Hoffmann, K. A., and Dieteker, F.-F., 2000, “Detached-Eddy Simulation of a Supersonic Axisymmetric Base Flow With an Unstructured Solver,” AIAA Paper No. 2000-2410.
Cummings,  R. M., Yang,  H. T., and Oh,  Y. H., 1995, “Supersonic, Turbulent Flow Computation and Drag Optimization for Axisymmetric Afterbodies,” Comput. Fluids, 24(4), pp. 487–507.
Spalart, P. R., 1999, “Strategies for Turbulence Modeling and Simulations,” 4th International Symposium on Engineering Turbulence Modelling and Measurements, Elsevier Science, Oxford, UK, pp. 3–17.
Spalart, P. R., Jou, W-H., Strelets, M., and Allmaras, S. R., 1997, “Comments on the Feasibility of LES for Wings, and on a Hybrid RANS/LES Approach,” Advances in DNS/LES, 1st AFOSR International Conference on DNS/LES, Greyden Press, Columbus, OH.
Shur, M., Spalart, P. R., Strelets, M., and Travin, A., 1999, “Detached-Eddy Simulation of an Airfoil at High Angle of Attack,” 4th International Symposium on Engineering Turbulence Modelling and Measurements, Elsevier Science, Oxford, UK, pp. 669–678.
Constantinescu, G. S., and Squires, K. D., 2000, “LES and DES Investigations of Turbulent Flow Over a Sphere,” AIAA Paper No. 2000-0540.
Travin,  A., Shur,  M., Strelets,  M., and Spalart,  P. R., 2000, “Detached-Eddy Simulation Past a Circular Cylinder,” Int. J. Flow, Turb. Combust., 63(1–4), pp. 293–313.
Strelets, M., 2001, “Detached Eddy Simulation of Massively Separated Flows,” AIAA Paper No. 2001-0879.
Herrin,  J. L., and Dutton,  J. C., 1994, “Supersonic Base Flow Experiments in the Near Wake of a Cylindrical Afterbody,” AIAA J., 32(1), pp. 77–83.
Bourdon, C. J., Smith, K. M., Dutton, M., and Mathur, T., 1998, “Planar Visualizations of Large-Scale Turbulent Structures in Axisymmetric Supersonic Base Flows,” AIAA Paper No. 98-0624.
Murthy, S. N. B., and Osborn, J. R., 1976, “Base Flow Phenomena With and Without Injection: Experimental Results, Theories, and Bibliography,” Aerodynamics of Base Combustion, S. N. B. Murthy et al., eds. (Vol. 40 of Progress in Astronautics and Aeronautics), AIAA, Melville, NY, pp. 7–210.
Dutton, J. C., Herrin, J. L., Molezzi, M. J., Mathur, T., and Smith, K. M., 1995, “Recent Progress on High-Speed Separated Base Flows,” AIAA Paper No. 95-0472.
Morkovin, M. V., 1964, “Effects of Compressibility on Turbulent Flows,” The Mechanics of Turbulence, A. Favre, ed., Gordon and Breach, New York, pp. 367–380.
Rubesin, M. W., “Compressibility Effects in Turbulence Modeling,” 1980-81 AFOSR-HTTM-Stanford Conference On Complex Turbulent Flows, Stanford University, Department of Mechanical Engineering, pp. 713–723.
Goebel,  S. G., and Dutton,  J. C., 1991, “Experimental Study of Compressible Turbulent Mixing Layers,” AIAA J., 29(4), pp. 538–546.
Clemens,  N. T., and Mungal,  M. G., 1992, “Two- and Three-Dimensional Effects in the Supersonic Mixing Layer,” AIAA J., 30(4), pp. 973–981.
Delery, J., and Lacau, R. G., 1987, “Prediction of Base Flows,” AGARD Report 654.
Pope,  S. B., and Whitelaw,  J. H., 1976, “The Calculation of Near-Wake Flows,” J. Fluid Mech., 73(1), pp. 9–32.
Putnam, L. E., and Bissinger, N. C., 1985, “Results of AGARD Assessment of Prediction Capabilities for Nozzle Afterbody Flows,” AIAA Paper No. 85-1464.
Petrie, H. L., and Walker, B. J., 1985, “Comparison of Experiment and Computation for a Missile Base Region Flowfield With a Centered Propulsive Jet,” AIAA Paper No. 85-1618.
Benay,  R., Coet,  M. C., and Delery,  J., 1987, “Validation of Turbulence Models Applied to Transonic Shock-Wave/Boundary-Layer Interaction,” Rech. Aerosp., 3, pp. 1–16.
Caruso, S. C., and Childs, R. E., 1988, “Aspects of Grid Topology for Reynolds-Averaged Navier-Stokes Base Flow Computations,” AIAA Paper No. 88-0523.
Childs, R. E., and Caruso, S. C., 1987, “On the Accuracy of Turbulent Base Flow Predictions,” AIAA Paper No. 87-1439.
Childs, R. E., and Caruso, S. C., 1989, “Assessment of Modeling and Discretization Accuracy for High Speed Afterbody Flows,” AIAA Paper No. 89-0531.
Peace,  A. J., 1991, “Turbulent Flow Predictions for Afterbody/Nozzle Geometries Including Base Effects,” J. Propul. Power, 24(3), pp. 396–403.
Tucker, P. K., and Shyy, W., 1993, “A Numerical Analysis of Supersonic Flow Over an Axisymmetric Afterbody,” AIAA Paper No. 93-2347.
Suzen, Y. B., Hoffmann, K. A., and Forsythe, J. R., 1999, “Application of Several Turbulence Models for High Speed Shear Layer Flows,” AIAA Paper No. 99-0933.
Sahu,  J., 1994, “Numerical Computations of Supersonic Base Flow with Special Emphasis on Turbulence Modeling,” AIAA J., 32(7), pp. 1547–1549.
Chuang,  C. C., and Chieng,  C. C., 1996, “Supersonic Base Flow Computations Using Higher Order Turbulence Models,” J. Spacecr. Rockets, 33(3), pp. 374–380.
Forsythe, J. R., Strang, W., and Hoffmann, K. A., 2000, “Validation of Several Reynolds-Averaged Turbulence Models in a 3D Unstructured Grid Code,” AIAA Paper No. 2000-2552.
Harris, P. J., and Fasel, H. F., 1998, “Numerical Investigation of the Unsteady Behavior of Supersonic Plane Wakes,” AIAA Paper No. 98-2947.
Fureby, C., Nilsson, Y., and Andersson, K., 1999, “Large Eddy Simulation of Supersonic Base Flow,” AIAA Paper No. 99-0426.
Mathur,  T., and Dutton,  J. C., 1996, “Base Bleed Experiments With a Cylindrical Afterbody in Supersonic Flow,” J. Spacecr. Rockets, 33(1), pp. 30–37.
Baurle, R. A., Tam, C.-J., Edwards, J. R., and Hassan, H. A., 2001, “An Assessment of Boundary Treatment and Algorithm Issues on Hybrid RANS/LES Solution Strategies,” AIAA Paper No. 2001-2562.
Strang, W. Z., Tomaro, R. F., and Grismer, M. J., 1999, “The Defining Methods of Cobalt60: A Parallel, Implicit, Unstructured Euler/Navier-Stokes Flow Solver,” AIAA Paper No. 99-0786.
Tomaro, R. F., Strang, W. Z., and Sankar, L. N., 1997, “An Implicit Algorithm for Solving Time Dependent Flows on Unstructured Grids,” AIAA Paper No. 97-0333.
Grismer,  M. J., Strang,  W. Z., Tomaro,  R. F., and Witzemman,  F. C., 1998, “Cobalt: A Parallel, Implicit, Unstructured Euler/Navier-Stokes Solver,” Adv. Eng. Software, 29(3–6), pp. 365–373.
Karypis, G., and Kumar, V., 1997, “METIS: Unstructured Graph Partitioning and Sparse Matrix Ordering System Version 2.0,” Department of Computer Science, University of Minnesota, Minneapolis, MN.
Karypis, G., Schloegel, K., and Kumar, V., 1997, “ParMETIS: Parallel Graph Partitioning and Sparse Matrix Ordering Library Version 1.0,” Department of Computer Science, University of Minnesota, Minneapolis, MN.
Gottlieb,  J. J., and Groth,  C. P. T., 1988, “Assessment of Reimann Solvers for Unsteady One-Dimensional Inviscid Flows of Perfect Gases,” J. Comput. Phys., 78, pp. 437–458.
Spalart, P. R., and Allmaras, S. R., 1992, “A One-Equation Turbulence Model for Aerodynamic Flows,” AIAA Paper No. 92-0439.
Spalart, P. R., 2000, “Trends in Turbulence Treatments,” AIAA Paper No. 2000-2306.
Shur, M., Strelets, M., Zaikov, L., Gulyaev, A., Kozlov, V., and Secundov, A., “Comparative Numerical Testing of One- and Two-Equation Turbulence Models for Flows with Separation and Reattachment,” AIAA Paper No. 95-0863.
Menter,  F. R., 1991, “Influence of Freestream Values on k−ω Turbulence Model Predictions,” AIAA J., 30(6), pp. 1657–1659.
Menter, F. R., 1992, “Improved Two-Equation k−ω Turbulence Models for Aerodynamic Flows,” NASA-TM-103975.
Menter,  F. R., 1994, “Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications,” AIAA J., 32(8), pp. 1598–1605.
Suzen, Y. B., and Hoffmann, K. A., 1998, “Investigation of Supersonic Jet Exhaust Flow by One- and Two-Equation Turbulence Models,” AIAA Paper No. 98-0322.
Forsythe, J. R., Hoffmann, K. A., and Suzen, Y. B., 1999, “Investigation of Modified Menter’s Two-Equation Turbulence Models for Supersonic Applications,” AIAA Paper No. 99-0873.
Wilcox, D. C., 1998, Turbulence Modeling for CFD, 2nd Ed., DCW Industries, La Cañada, CA.
Pirzadeh,  S., 1996, “Three-Dimensional Unstructured Viscous Grids by the Advancing Layers Method,” AIAA J., 34(1), pp. 43–49.
Steinbrenner, J., Weyman, N., and Chawner, J., 2000, “Development and Implementation of Gridgen’s Hyperbolic PDE and Extrusion Methods,” AIAA Paper No. 2000-0679.
Spalart, P., 2001, “Young-Person’s Guide to Detached-Eddy Simulation Grids,” NASA CR 2001-211032.
Forsythe, J. R., Hoffmann, K. A., and Squires, K. D., 2002, “Detached-Eddy Simulation With Compressibility Corrections Applied to a Supersonic Axisymmetric Base Flow,” AIAA Paper No. 2002-0586.

Figures

Grahic Jump Location
Resolved turbulent statistics on the Gridgen grid; (a) resolved streamwise turbulent intensity versus Experiment 9, (b) resolved radial turbulence intensity versus Experiment 9, (c) resolved Reynolds stress versus Experiment 9
Grahic Jump Location
Nondimensional turbulent eddy-viscosity behind the base; (a) DES Spalart-Allmaras model with and without compressibility corrections on Gridgen grid, (b) DES shear stress transport model with and without compressibility corrections on Gridgen grid
Grahic Jump Location
Resolved turbulent kinetic energy behind the base; (a) DES Spalart-Allmaras model on the coarse structured grid versus Experiment 9; (b) DES Spalart-Allmaras model on the fine structured grid versus Experiment 9; (c) DES Spalart-Allmaras model on the Gridgen grid versus Experiment 9
Grahic Jump Location
Mach contours behind the base; (a) DES Spalart-Allmaras on the coarse structured grid versus Experiment 9; (b) DES Spalart-Allmaras on the fine structured grid versus Experiment 9; (c) DES Spalart-Allmaras on the Gridgen grid versus Experiment 9; (d) DES shear stress transport model on Gridgen grid versus Experiment 9
Grahic Jump Location
Centerline velocity—DES model
Grahic Jump Location
Pressure along the base—DES model
Grahic Jump Location
Boundary layer profile 1 mm prior to the base—DES model
Grahic Jump Location
Vorticity contours—DES Spalart-Allmaras model on the fine structured grid
Grahic Jump Location
Nondimensional turbulent eddy viscosity behind the base; (a) Spalart-Allmaras model with and without compressibility corrections on VGRIDns grid; (b) shear stress transport model with and without compressibility corrections on VGRIDns grid
Grahic Jump Location
Centerline velocity—RANS models
Grahic Jump Location
Pressure along the base—RANS models
Grahic Jump Location
Boundary layer profile 1 mm prior to the base—RANS models
Grahic Jump Location
Closeup views of grids used. (a) Fine structural grid (SGF)—2.60×106 cells; (b) VGRIDns grid (VG)—2.86×106 cells; (c) Gridgen grid (GG)—2.75×106 cells.
Grahic Jump Location
Axisymmetric base flow—expansion and shock waves. SST RANS simulation, contours of pressure and streamlines.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In