Comparison of a low diffusion E-CUSP and the Roe scheme for RANS calculation

46th AIAA Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 2008, Pages

  Wang, Baoyuan ^a   Zha, Ge Cheng ^a  

^a University of Miami College of Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

JACOBIAN MATRICES; NAVIER STOKES EQUATIONS; TURBULENCE MODELS;

2D AND 3D PROBLEMS; BALDWIN-LOMAX TURBULENCE MODEL; CONVERGENCE RATES; DETACHED EDDY SIMULATIONS; DIAGONAL DOMINANCE; FLUX VECTOR SPLITTING SCHEMES; NUMERICAL PERFORMANCE; TRANSPORT EQUATION;

WALL FLOW;

EID: 78149455137     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2008-569     Document Type: Conference Paper

References (25)

1. P. Roe, "Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes, " Journal of Computational Physics, vol. 43, pp. 357-372, 1981.
2. B. Van Leer, J. Thomas, P. L. Roe, and R. Newsome, "A Comparison of Numerical Flux Formulas for the Euler and Navier-Stokes Equations." AIAA paper 87-1104, 1987.
3. M.-S. Liou and C. J. Steffen, " A New Flux Splitting Scheme, " Journal of Computational Physics, vol. 107, pp. 1-23, 1993.
4. M.-S. Liou, +." Progress Towards an Improved CFD Methods: AUSM+." AIAA Paper 95-1701-CP, June, 1995.
5. M.-S. Liou, " A Sequel to AUSM: AUSM+, " Journal of Computational Physics, vol. 129, pp. 364-382, 1996.
6. M.-S. Liou, " Ten Years in the Making-AUSM-Family." AIAA 2001-2521, 2001.
7. A. Jameson, " Analysis and Design of Numerical Schemes for Gas Dynamics I: Artificial Diffusion, Upwind Biasing, Limiters and Their Effect on Accuracy and Multigrid Convergence in Transonic and Hypersonic Flow, " Journal of Computational Fluid Dynamics, vol. 4, pp. 171-218, 1995.
8. A. Jameson, " Analysis and Design of Numerical Schemes for Gas Dynamics II: Artificial Diffusion and Discrete Shock Structure, " Journal of Computational Fluid Dynamics, vol. 5, pp. 1-38, 1995.
9. J. R. Edwards,. "A Low-Diffusion Flux-Splitting Scheme for Navier-Stokes Calculations." AIAA Paper 95-1703-CP, June, 1995.
10. J. R. Edwards,." A Low-Diffusion Flux-Splitting Scheme for Navier-Stokes Calculations, " Computer & Fluids, vol. 6, pp. 635-659, 1997.
11. G.-C. Zha and E. Bilgen,." Numerical Solutions of Euler Equations by Using a New Flux Vector Splitting Scheme, " International Journal for Numerical Methods in Fluids, vol. 17, pp. 115-144, 1993.
12. G.-C. Zha and Z.-J. Hu, " Calculation of Transonic Internal Flows Using an Efficient High Resolution Upwind Scheme, " AIAA Journal, vol. 42, No. 2, pp. 205-214, 2004.
13. G.-C. Zha, " Low Diffusion Efficient Upwind Scheme, " AIAA Journal, vol. 43, 2005.
14. G.-C. Zha, Y. Shen, and B. Wang, " Calculation of Transonic Flows Using WENO Method with a Low Diffusion E-CUSP Upwind Scheme." AIAA Paper 2008-0745, 46th AIAA Aerospace Sciences Meeting, Reno, NV, Jan. 2008.
15. P. Spalart, W.-H. Jou, M. Strelets, and S. Allmaras, " Comments on the Feasibility of LES for Wings, and on a Hybrid RANS/LES Approach." Advances in DNS/LES, 1st AFOSR Int. Conf. on DNS/LES, Greyden Press, Columbus, H., Aug. 4-8, 1997.
16. P. R. Spalart, " Young-Person's Guide to Detached-Eddy Simulation Grids." NASA/CR-2001- 211032, 2001.
17. A. Tarvin, M. Shur, M. Strelets, and P. Spalart, " Detached-Eddy Simulations Past a Circular Cylinder, " Flow Turbulence and Combustion, vol. 63, 1999.
18. A. Viswanathan, K. Klismith, J. Forsythe, and K. D. Squires, "Detached-Eddy Simulation around a Forebody at High Angle of Attack." AIAA-2003-0263, 2003.
19. R. P. Hansen and J. Forsythe, " Large and Detached Eddy Simulation of a Circular Cylinder Using Unstructured Grids." AIAA-2003-0775, 2003.
20. J. R. Forsythe, K. A. Hoffmann, and K. D. Cummings, R. M. Squires, " Detached-Eddy Simulations with Compressibility Corrections Applied to Supersonic Axisymmetric Base Flow, " Journal of Fluids Engineering, vol. 124, 2002.
21. B. Wang, G.-C. Zha, and Y. Shen, " Detached Eddy Simulations of a Circular Cylinder Using a Low Diffusion E-CUSP and High-Order WENO Scheme." submitted to 38th AIAA Fluid Dynamics Conference, Seattle, Washington, June 2008.
22. P. Spalart and S. Allmaras, " A One-equation Turbulence Model for Aerodynamic Flows." AIAA- 92-0439, 1992.
23. B. Van Leer, "Towards the Ultimate Conservative Difference Scheme, III, " Journal of Compu- tational Physics, vol. 23, pp. 263-75, 1977.
24. B. Van Leer, "Flux-Vvector Splitting for the Euler Equations, " Lecture Note in Physics, vol. 170, pp. 507-512, 1982.
25. Y.-Q. Shen and G.-C. Zha, "A Comparison Study of Gauss-Seidel Iteration Methods for Internal and External Flows ." AIAA Paper 2007-4332, 2007.