Acta Mechanica Sinica

, Volume 7, Issue 3, pp 227–234 | Cite as

An efficient algorithm for hypersonic viscous flows

  • Xue Jukui
  • Wang Ruquan


The CSCM-S algorithm proposed by Lombard et al. is a very attractive tool for solving multidimensional Euler and Navier-Stokes equations. However, it is not economical due to the use of global sweeps in the whole computational domain. In this paper we suggest a modified strategy, which combines a single-marching technique for supersonic dominated region with a multi-sweep procedure for pure subsonic and complex flowfield. The new algorithm may save significantly CPU time and is more suitable for engineering applications.

Key Words

viscous flow CSCM algorithm single-marching technique multi-sweep procedure 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1L.
    Lombard C. K. et al., Universal single level implicit algorithm for gasdynamics, NASA CR-166531 (1984).Google Scholar
  2. [2]
    Gao Zhi, Simplified Navier-Stokes equations and combined solution on non-viscons and boundary layer equations,ACTA Mechanica Sinica, 6 (1982).Google Scholar
  3. [3]
    Yang J. Y. numerical solution of the two-dimensional Euler equations by second-order upwind difference schemes, AIAA paper 85-292 (1985).Google Scholar
  4. [4]
    Harten, A. High resolution schemes for hyperbolic conservation laws,J. Comput. Phys. 49 (1983), 357–393.MATHMathSciNetCrossRefGoogle Scholar
  5. [5]
    Newsome R. W. et al., An efficient iteration strategy for upwind/relaxation solutions to the thin-layer Navier-Stokes equations, AIAA paper 87-1113 (1987).Google Scholar
  6. [6]
    Chang C. L. et al., The relation between flux vector splitting and parabolized schemes,J. Comput. Phys. 80 (1989), 344–361.MATHMathSciNetCrossRefGoogle Scholar
  7. [7]
    Bardina J. et al., Two-dimensional and axisymmetric heat transfer results with the CSCM upwind implicit algorithm, AIAA paper 85-0923 (1985).Google Scholar
  8. [8]
    Jiao L. Q. et al., Numerical calculation of hypersonic viscous flows over hemisphere-cones at angles of attack,ACTA Mechanica Sinica, 3 (1980), (in Chinese).Google Scholar
  9. [9]
    Hou Tianxiang et al. Supersonic flows past blunt bodies using the time-dependent method. Aerospace Press, Beijing (1986). (in Chinese).Google Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1991

Authors and Affiliations

  • Xue Jukui
    • 1
  • Wang Ruquan
    • 2
  1. 1.Northwestern Normal UniversityLanzhou
  2. 2.Computing CenterAcademia SinicaBeijing

Personalised recommendations