Advertisement

Soms- a second order monotone scheme for-shock capturing and its application to the solutions of compressible Navier-Stokes equations

  • Hua-mo Wu
  • Ming-liang Yang
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 141)

Abstract

This work proposes the SOMS- a Second Order Monotone Scheme for hydrodynamic calculations. This scheme combines a first order and second order accurate schemes using a new switch function. The SOMS has been applied with success to the numerical solutions of compressible Navier- Stokes equations. The numerical tests show the advantage of this scheme in the monotone property of shock transition, the steepness of the shock profile and the high accuracy of the results in regions where the solution is smooth.

Keywords

Hybrid Scheme Switch Function Order Scheme Inviscid Flow High Order Accuracy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    R.D.Fedorenko, Soviet J.Comp. Math. Math. Phys.,2,6 (1962).Google Scholar
  2. 2.
    V.Y.Gol'den, et al, ibid, 5,6 (1965).Google Scholar
  3. 3.
    van Leer, J.Comp.Phys., 14, 361–370 (1974).CrossRefGoogle Scholar
  4. 4.
    A.Harten, G.Zwas, J.Comp.Phys., 9,3 (1972).Google Scholar
  5. 5.
    A.Gentry, R.E.Martin,and B.J.Daly, J.Comp.Phys.,1,87–118 (1966).CrossRefGoogle Scholar
  6. 6.
    C.Hirt, J.Comp.Phys., 2,339–355 (1968).CrossRefGoogle Scholar
  7. 7.
    V.Rusanov, Soviet J. Comp. Math. Math. Phys., 1,2 (1961).Google Scholar
  8. 8.
    W.D.Hayes,R.F.Probstein, Hypersonic flow theory, Academia Press, New York and London, 1959.Google Scholar
  9. 9.
    R.Q.Wang, et al, this Proceeding.Google Scholar
  10. 10.
    J.E.Carter, NASA TR R-385, 1972.Google Scholar
  11. 11.
    M.S.Holden, and J.R.Moselle, CAL Rep. No AF-2410-A-1 (1969).Google Scholar
  12. 12.
    C.M.Hung, Mac Cormack, AIAA p 75-2 (1975).Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Hua-mo Wu
    • 1
  • Ming-liang Yang
    • 1
  1. 1.Computing Centre of Academia SinicaBeijingChina

Personalised recommendations