Spurious oscillation of finite difference solutions near shock waves and a new formulation of “TVD” scheme

  • Zhang Hanxin
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 323)


Through a model study, it was found that the spurious oscillations occuring near shock waves with finite difference equations are related to the dispersion term in the corresponding modified differential equation. If the sign of dispersion coefficient is properly adjusted so that the sign changes across shock waves, the undesirable oscillations can be totally suppressed. Based on this finding, an efficient finite difference scheme is developed. This scheme is one of “TVD”. Numerical results show that this algorithm is efficient and robust.


Shock Wave Mach Number Space Shuttle Inviscid Flow Mach Disk 
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Zhang Hanxin
    • 1
  1. 1.China Aerodynamic Research and Development CenterMianyang SichuanPRC

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