A numerical method for solving the three-dimensional parabolized Navier-Stokes equations

Computers and Fluids

Volumn 26, Issue 6, 1997, Pages 587-611

  D'Ambrosio, Domenic ^a   Marsilio, Roberto ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; COMPUTATIONAL COMPLEXITY; FINITE VOLUME METHOD; NUMERICAL METHODS; SHOCK WAVES; THREE DIMENSIONAL; VISCOUS FLOW; VORTEX FLOW;

SPACE MARCHING TECHNIQUE; THREE DIMENSIONAL SUPERSONIC VISCOUS FLOWS;

NAVIER STOKES EQUATIONS;

MATHEMATICAL MODELING; NAVIER-STOKES EQUATIONS;

FLOW MODELLING; NAVIER-STOKES EQUATIONS; PARABOLIZED FORM;

EID: 0031188005     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(97)00007-8     Document Type: Article

References (23)

1. Vigneron, Y. C., Rakich, J. V. and Tannehill, J. C., Calculation of supersonic viscous flow over delta wings with sharp subsonic leading edges. Technical Memorandum 78500, NASA, June 1978.
2. Rudman, S. and Rubin, S. G., Hypersonic viscous flow over slender bodies with sharp leading edges. AIAA Journal, 1968, 6(10), 1883-1889.
3. Lubard, S. C. and Helliwell, W. S., Calculation of the flow on a cone at high angle of attack. AIAA Journal, 1974, 12(7), 965-974.
4. Anderson, D. A., Tannehill, J. C. and Pletcher, R. H., Computational Fluid Mechanics and Heat Transfer. McGraw-Hill Book Company, New York, 1984, Chap. 8.
5. Lawrence, S. L., Tannehill, J. C. and Chaussee, D. S., An upwind algorithm for the parabolized Navier-Stokes equations. AIAA Paper 86-1117, May 1986.
6. Korte, J. J., An explicit upwind algorithm for solving the parabolized Navier-Stokes equations. Technical Paper 3050, NASA, February 1991.
7. Rubin, S. G. and Reddy, D. R., Analysis of global pressure relaxation for flows with strong interaction and separation. Computers and Fluids, 1983, 11(4), 281-306.
8. Rubin, S. G. and Tannehill, J. C., Parabolized/reduced Navier-Stokes computational techniques. Annual Review of Fluid Mechanics, 1992, 24, 117-144.
9. Menne, S. and Weiland, C., Calculation of three-dimensional viscous and inviscid hypersonic flows using split-matrix marching methods. Proceedings 8th AIAA Applied Aerodynamics Conference, Portland, OR, August 1990.
10. Hughes, E. and Verant, J. L., Nonequilibrium parabolized Navier-Stokes code with an implicit finite volume method. Proceedings 29th AIAA Aerospace Sciences Meeting, Reno, NV, January 1991.
11. Verant, J. L., Radespiel, R. and Hugues, E. C., Development of three-dimensional real gas Navier-Stokes and parabolized Navier-Stokes codes. Application to Hermes space shuttle. Proceedings 31st AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, January 1993, Paper 93-0675.
12. Gerbsch, R. and Agarwal, R., Solution of the parabolized Navier-Stokes equations using Osher's upwind scheme. Proceedings 28th AIAA Aerospace Sciences Meeting, Reno, NV, January 1990, Paper 90-0392.
13. Pandolfi, M., Computation of steady supersonic flows by a flux difference splitting method. Journal of Computers and Fluids, 1985, 10(1), 37-46.
14. Marsilio, R., Vortical solutions in supersonic corner flows. AIAA Journal, 1993, 31(9), 1651-1658.
15. Harten, A., Engquist, B., Osher, S. and Chakravarthy, S. R., Uniformly high order accurate essentially non-oscillatory schemes III. Journal of Computational Physics, 1987, 71, 231-303
16. Lawrence, S. L., Chaussee, D. S. and Tannehill, J. C., Application of an upwind algorithm to three-dimensional parabolized Navier-Stokes equations. AIAA Paper 87-1112-CP, June 1987.
17. Morrison, J. H. and Korte, J. J., Implementation of Vigneron's streamwise pressure gradient approximation in the PNS equations. Proceedings 30th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, January 1992, Paper 92-0189.
18. Edney, B., Anomalous heat-transfer and pressure distributions on blunt bodies at hypersonic speeds in the presence of an impinging shock. FFA Report 116, Aeronautical Research Institute of Sweden, Stockholm, Sweden, February 1968.
19. Holden, M. S. and Moselle, J. R., Theoretical and experimental studies of the shock wave-boundary layer interaction on compression surfaces in hypersonic flow. Report AF-2410-A-1, CALSPAN, Buffalo, NY, October 1969.
20. Hung, C. M. and MacCormack, R. W., Numerical solutions of supersonic and hypersonic laminar compression corner flows, AIAA Journal, 1976, 14(4), 475-481.
21. Chanetz, B. and Coët, M.-C., Shock wave boundary layer interaction analysed in the R5Ch laminar hypersonic wind tunnel. La Recherche Aérospatiale, 1993, 5, 43-56.
22. Hummel, D., Experimental investigations on blunt bodies and corner configurations in hypersonic flow. In Aerodynamics of Hypersonic Lifting Vehicles, 1987, AGARD-CP-428, Paper 6.
23. D'Ambrosio, D., Marsilio, R. and Pandolfi, M., Shock induced separated structures in symmetric corner flows. Proceedings 26th AIAA Fluid Dynamics Conference, San Diego, CA, June 1995, Paper 95-2270.