Browse > Article
http://dx.doi.org/10.5139/JKSAS.2002.30.3.027

Papers : Analysis of Numerical Instability of AUSM - type Schemes  

Kim,Gyu-Hong
Lee,Gyeong-Tae
Kim,Jong-Am
No,O-Hyeon
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.30, no.3, 2002 , pp. 27-36 More about this Journal
Abstract
Numerical stability is studied based on numerics and mathematics. It is frequently observed in the region where velocity is zero. In that region, the Euler equation have numerous solutions and, thus, it is impossible to determine a unique solution with only governing equations. However, a unique solution can be determined by additional outer flow conditions or outer numerical discontinuity calculation since the information or a unique solution under undisturbed conditions is lost by disturbances. In this reason, the numerical scheme comsistent with Euler equations cannot remove shock instability completely.
Keywords
AUSM; M-AUSMPW+;
Citations & Related Records
연도 인용수 순위
  • Reference
1 K. H. Kim, C. Kim, and O. H. Rho, "Methods for the Accurate Computations of Hypersonic Flows, PART II: Shock aligned Grid Technique," accepted to J. of Computational Physics, (2001).   DOI   ScienceOn
2 M. S. Liou, "A Sequel to AUSM: AUSM+," J. of Computational Physics, 129, 364-382 (1996).   DOI   ScienceOn
3 M. S. Liou, and Y. Wada, "A Flux Splitting Scheme with High-Resolution and Robustness for Discontinuities," AIAA Paper 94-0083, (1994).
4 K. H. Kim, C. Kim, and O. H. Rho, "Methods for the Accurate Computations of Hypersonic Flows, PART I: AUSMPW+ Scheme," accepted to J. of Computational Physics, (2001).   DOI   ScienceOn
5 K. H. Kim, J. H. Lee, and O. H. Rho, "An Improvement of AUSM Schemes by Introducing the Pressure-based Weight Functions," Computers & Fluids, 27(3), 311-346 (1998).   DOI   ScienceOn
6 B. Van Leer, "Flux-vector Splitting for the Euler Equation," Lecture Notes in physics, 170, 507-512 (1982).   DOI
7 M. S. Liou, and C. J. Steffen Jr., "A New Flux Splitting Scheme," J. of Computational Physics, 107, 23-39 (1993).   DOI   ScienceOn
8 P. L. Roe, "Approximate Riemann Solvers, Parameter Vectors and Difference Schemes," J. of Computational Physics, 43, 357-372 (1981).   DOI   ScienceOn
9 J. J. Quirk, "A Contribution to the Great Riemann Solver Debate," Int. J. for Numerical Methods in Fluids, 18, 555, (1994).   DOI   ScienceOn
10 M. S. Liou, "Mass Flux Schemes and Connection to Shock Instability," J. of Computational Physics, 160, 623-648, (2000).   DOI   ScienceOn