Numerical speed of sound and its application to schemes for all speeds

14th Computational Fluid Dynamics Conference

Volumn , Issue , 1999, Pages 195-214

  Liou, Meng Sing ^a   Edwards, Jack R ^b  

^a NASA GLENN RESEARCH CENTER   (United States)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS;

CONSERVATION EQUATIONS; CONVERGENCE RATES; CORRECT SOLUTION; ENGINEERING PROBLEMS; ITS APPLICATIONS; LOW-SPEED FLOW; NUMERICAL DISSIPATION; NUMERICAL FLUX;

ACOUSTIC WAVE VELOCITY;

EID: 84999779425     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1999-3268     Document Type: Conference Paper

References (19)

1. B. van Leer, “Flux-vector splitting for the Euler equations,” Lecture Notes in Physics 170, 507 (1982).
2. M.-S. Liou and C. J. Steffen, “A new flux splitting scheme,” J. Comput. Phys. 107, 23 (1993).
3. M.-S. Liou, “A continuing search for a near-perfect numerical flux scheme, Part I: AUSM+,” NASA TM 106524 (1994); also J. Comput. Phys. 129, 364 (1996).
4. Y. Wada and M.-S. Liou, “An accurate and robust flux splitting scheme for shock and contact discontinuities,” SIAM J.Sci. Comput. 18, 633 (1997).
5. B. Einfeldt, “On Godunov-type methods for gas dynamics,” SIAM J. Numer. Anal. 25, 294 (1988).
6. D. Hanel, R. Schwane, and G. Seider, “On the Accuracy of upwind schemes for the solution of the Navier-Stokes equations,” 8th AIAA CFD Conference, AIAA Paper 87-1105-CP, 1987.
7. Y. H. Choi and C. L. Merkle, “The Application of preconditioning in viscous flows,” J. Comput. Phys. 105, 207 (1993).
8. B. van Leer, W. T. Lee and P. L. Roe, “Characteristic time stepping or local preconditioning of the Euler equations,” AIAA paper 91-1552, 1991.
9. E. Turkel, V. N. Vatsa and R. Radespiel, “Preconditioning methods for low-speed flows,” AIAA Paper 96-2460, 1996.
10. J. M. Weiss and W. A. Smith, “Preconditioning applied to variable and constant density time-accurate flows on unstructured meshes,” AIAA Paper 94-2209, 1994.
11. J. M. Weiss, J. P. Maruszewski and W. A. Smith, “Implicit solution of the preconditioned Navier-Stokes equations using algebraic multigrid,” AIAA J. 37, 29 (1999).
12. J. R. Edwards and M.-S. Liou, “Low-diffusion flux-splitting methods for flows at all speeds,” AIAA J. 36, 1610 (1998).
13. J. R. Edwards, R. K. Franklin, and M.S. Liou, “Low-diffusion flux-splitting methods for real fluid flows at all speeds,” AIAA Paper 99-3327, 1999.
14. P. G. Buning et al., OVERFLOW user's manual, version 1.8P Unpublished NASA Report, 1998.
15. P. R. Spalart and S. R. Allmaras, “A one-equation turbulence model for aerodynamic flows,” AIAA Paper 92-0439, 1992.
16. P. E. O. Buelow, S. Venkateswaran, and C. L. Merkle, “Grid aspect ratio effects on the convergence of upwind schemes,” AIAA Paper 95-0565, 1995.
17. V. Schmitt and F. Charpin, Appendix Bl, AGARD-AR-138, 1984.
18. D.A. Treadgold, A.F. Jones, and K.H. Wilson, Appendix B4, AGARD-AR-138, 1984.
19. B. Koren, “Upwind schemes, multigrid and defect correction for the steady Navier-Stokes equations,” Lecture Notes in Physics 323, 344 (1989)