On carbuncles and other excrescences

17th AIAA Computational Fluid Dynamics Conference

Volumn , Issue , 2005, Pages

  Roe, Philip ^a   Nishikawa, Hiroaki ^a   Ismail, Farzad ^a   Scalabrin, Leonardo ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CARBUNCLE PHENOMENA; NONLINEAR STABILITY ANALYSIS; NUMERICAL EXPERIMENTS;

COMPUTATIONAL FLUID DYNAMICS;

EID: 78649894480     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (22)

1. Lax, P. D., Wendroff, B, Systems of conservation laws, Comm Pure Appl Math, 13, p.217, 1960.
2. Peery, K.M. Imlay, S.T., Blunt body ow simulations, AIAA Paper 88-2924, 1988.
3. Quirk, J.J., A contribution to the great Riemann solver debate, Int. J. Num. Meth. Fluids 18 p.555. 1994.
4. Pandolfi, M., d'Ambrosio, D., Numerical instabilies in upwind methods, analysis and cures for the 'Carbuncle' phenomenon, J. Comp. Phys., 166, p.271, 2001.
5. van Dyke, M. D., An Album of Fluid Motion Plate 272, Parabolic Press, 1982.
6. S. Bogdonoff, I.E. Vas, Preliminary investigation of spiked bodies at supersonic speeds, J. Aero. Sci. 26. p.584, 1959.
7. Liou, M. S., Mass ux schemes and connections to shock instability, J. Comp Phys., 160, p.632, 2000.
8. Kim, S-S, Kim, C, Rho, O-H, Hong, S.K., Cures for the shock instability, Development of a shock-stable Roe scheme, J. Comp Phys., 186, p.342, 2003.
9. Lin, H-C, Dissipative additions to ux-difference splitting, J. Comp Phys., 117, p.20, 1995.
10. Sanders, R., Morano, E., Drouget, M. C., Multidimensional dissipation for upwind schemes, stability and applications to gasdynamics, J. Comp Phys., 145, p.511, 1998.
11. Robinet, J. C., Gressier, J., Casalis, G., Moschetta, J-M., Shock wave instability and carbuncle phenomenon; same intrinsic origin J. Fluid Mech, 417, p.237, 2000.
12. D'yakov, S. P. Z. Eksper. Teort. Fiz., 27, p. 288, 1954.
13. Landau, L. D., Livshitz, E. M., Fluid Mechanics, Pergammon, 1959.
14. Dumbser, M. Moschetta, J-M., Gressier, J., A matrix stability analysis of the carbuncle phenomenon, J. Comp Phys., 197, p.647, 2004.
15. Roe, P. L. Capturing vorticity, AIAA-2001-2523 AIAA 16th Computational Fluid Dynamics Conference, Anaheim, CA, June 11-14, 2001
16. F. Ismail, P. L. Roe, Toward a vorticity-preserving second-order finite-volumescheme solving the Euler equations, AIAA CFD meeting, Toronto, 2005.
17. Barth, T. J., Some notes on shock-resolving ux functions part I, stationary characteristics, NASA TM-101087, Ames Research Center, 1989.
18. Xu, K., Gas-kinetic schemes for unsteady compressible ow simulations, VKI Lecture series 1998-03, 1998.
19. Woodward, P., Colella, P., The numerical simulation of two-dimensional uid ow with strong shocks, J. Comp. Phys., 54, p.115, 1984.
20. Merriam, M. L., An entropy-based approach to nonlinear stability, NASA TM 101086, 1989.
21. Barth T. J., Numerical methods for gasdynamic systems on unstructured meshes, in An Introduction to Recent Developments in Theory and Numerics of Conservation Laws, eds. Kröner, D., Ohlberger, M., Rohde, C., Springer, 1999.
22. Tadmor, E., Twenty examples of entropy-stable schemes, colloquium presentation available at www.ima.umn.edu/talks/workshops/5-11-15.2004/tadmor Lecture entropy stability 20 examples.pdf