Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 29, 1996 - Issue 8
16
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

SEGREGATED PREDICTION OF 3-D COMPRESSIBLE SUBSONIC FLUID FLOWS USING COLLOCATED GRIDS

, &
Pages 757-775 | Received 01 Dec 1995, Accepted 20 Jan 1996, Published online: 03 Apr 2007

REFERENCES

  • B. Lakshminarayana , An Assessment of Computational Fluid Dynamic Techniques in the Analysis and Design of Turbomachinery—The 1990 Freeman Scalar Lecture , J Fluid Eng. , vol. 113 , pp. 315 – 352 , 1991 .
  • R. W. MacCormack , Current Status of Numerical Solutions of Navier–Stokes Equations , AIAA paper 85–0032 , 1985 .
  • J. S. Shang , An Assessment of Numerical Solutions of the Compressible Navier–Stokes Equations , J. Aircraft , vol. 22 , no. 5 , 1985 .
  • J. P. Von Doormaal , G. D. Raithby , and B. H. McDonald , The Segregated Approach to Predicting Viscous Compressible Fluid Flows , Trans. ASME J. Turbomach. , vol. 109 , pp. 268 – 277 , 1987 .
  • F.-S. Lien and M. A. Leschziner , A Pressure–Velocity Solution Strategy for Compressible Flow and Its Application to Shock/Boundary–Layer Interaction Using Second–Moment Turbulence Closure , Trans. ASME J. Fluids Eng. , vol. 115 , pp. 717 – 725 , 1993 .
  • S. V. Patankar , Calculation of Unsteady Compressible Flows Involving Shocks, Mechanical Engineering Department, Imperial College, Rept . UF/TN/A/4 , London , 1971 .
  • R. I. Issa and F. C. Lockwood , On the Prediction of Two–Dimensional Supersonic Viscous Interactions near Walls , AIAA J. , vol. 15 , pp. 182 – 188 , 1977 .
  • C. Hah , A Navier–Stokes Analysis of Three–Dimensional Turbulent Flows Inside Turbine Blade Rows at Design and Off Design Conditions , ASME J. Eng. Gas Turbine Power , vol. 106 , pp. 421 – 429 , 1984 .
  • K. C. Karki and S. V. Patankar , A Pressure Based Calculation Procedure for Viscous Flows at All Speeds in Arbitrary Configurations , AIAA J. , vol. 27 , pp. 1167 – 1174 , 1989 .
  • M. H. Kobayashi and J. C. F. Pereira , Predictions of Compressible Viscous Flows at All Mach Numbers Using Pressure Correction, Collocated Primitive Variables and Non–Orthogonal Meshes , AIAA paper 92–0548 , 1992 .
  • W. Shyy , M.-H. Chen , and C.-S. Sun , A Pressure–Based FMG/FAS Algorithm for Flow at All Speeds , AIAA paper , 92–0426 , 1992 .
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington , D.C. , 1980 .
  • C. M. Rhie and W. L. Chow , Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation , AIAA J. , vol. 21 , no. 11 , 1983 .
  • G. Zhang and D. N. Assanis , A Segregated Approach for Extending Shock Capturing Schemes to a System of Hyperbolic Equations, submitted to AppL Math. Model. , 1995 .
  • G. E. Schneider and M. J. Raw , Control Volume Finite–Element Method for Heat Transfer and Fluid Flow Using Collocated Variables, 1 Computational Procedure , Numer. Heat Transfer , vol. 11 , pp. 363 – 390 , 1987 .
  • B. P. Leonard , A Stable and Accurate Convective Modeling Procedure Based on Quadratic Upstream Interpolation , Comput. Meth. Appl. Mech. Eng. , vol. 19 , pp. 59 – 98 , 1979 .
  • A. Jameson , Transonic Flow Calculations for Aircraft, also published in A. Dold and B. Eckman (eds.) , Lecture Notes in Mathematics , Springer–Verlag , New York , pp. 156 – 242 , 1983 .
  • K. A. Hoffmann , Computational Fluid Dynamics for Engineers , Engineering Education System , Austin , Texas , 1989 .
  • H. D. Rudy and J. D. Strikwerda , Boundary Conditions for Subsonic Navier–Stokes Calculations , Comput. Fluids , vol. 9 , pp. 327 – 338 , 1981 .
  • T. J. Poinsot and S. K. Lele , Boundary Conditions for Direct Simulations of Compressible Viscous Flows , J. Comput. Phys. , vol. 101 , pp. 104 – 129 , 1992 .
  • R. C. Swanson and E. Turkel , A Multistage Time–Stepping Scheme for the Navier–Stokes Equations , AIAA paper 85 – 35 , 1985 .
  • H. Cabuk , C.-H. Sung , and V. Modi , Explicit Runge–Kutta Method for Three–Dimensional Internal Incompressible Flows , AIAA J. , vol. 30 , no. 8 , 1992 .
  • J. F. Thompson , Z. V. Warsi , and C. W. Mastin , Numerical Grid Generation, Foundations and Applications , North-Holland , New York , 1985 .
  • G. Guevremont and P. L. Kotiuga , Finite Element Solution of the 3D Compressible Navier–Stokes Equations by a Velocity–Vorticity Method , J. Comput. Phys. , vol. 107 , pp. 176 – 187 , 1993 .
  • H. C. Ku , R. S. Hirsch , and T. D. Taylor , A Pseudo–Spectral Method for Solution of 3D Incompressible Navier–Stokes Equations , J. Comput. Phys. , vol. 70 , pp. 439 – 462 , 1987 .
  • D. Drikakis and S. Tsangaris , On the Solution of the Compressible Navier–Stokes Equations Using Improved Flux Vector Splitting Methods , Appl. Math. Model. , vol. 17 , pp. 282 – 297 , 1993 .
  • J. A. C. Humphrey , A. M. K. Taylor , and J. H. Whitelaw , Laminar Flow in a Square Duct of Strong Curvature , J. Fluid Mech. , vol. 83 , part 3 , pp. 509 – 527 , 1977 .
  • Y.-H. Choi and C. L. Merkle , The Application of Preconditioning in Viscous Flows , J. Comput. Phys. , vol. 105 , pp. 207 – 223 , 1993 .
  • P. Tamamidis and D. N. Assanis , Three–Dimensional Incompressible Flow Calculations with Alternative Discretization Schemes , Numer. Heat Transfer Part B , vol. 24 , pp. 57 – 76 , 1993 .
  • P. Tamamidis , G. Zhang , and D. N. Assanis , Comparison of Pressure–Based and Artificial Compressibility Method for Solving Steady Incompressible Viscous Flows , J. Comput. Phys. , vol. 124 , issue 1 , pp. 1 – 3 , 1996 .
  • Address correspondence to Professor Dennis Assanis, Department of Mechanical Engineering and Applied Mechanics, University of Michigan, 321 W. E. Lay Automotive Laboratory, 1231 Beal Avenue, Ann Arbor, MI 48109-2121, USA.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.