Shock Waves pp 1181-1186 | Cite as

Perturbational finite volume scheme for the one-dimensional Navier-Stokes equations

  • Y. Q. Shen
  • Z. Gao
  • G. W. Yang
Conference paper


Starting from the second-order finite volume scheme,though numerical value perturbation of the cell facial fluxes, the perturbational finite volume (PFV) scheme of the Navier-Stokes (NS) equations for compressible flow is developed in this paper. The central PFV scheme is used to compute the one-dimensional NS equations with shock wave. Numerical results show that the PFV scheme can obtain essentially non-oscillatory solution.


Finite Volume Mass Flux Finite Volume Method Compressible Flow Finite Volume Scheme 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    J.H. Ferziger, M. Peric: Computational Methods for Fluid Dynamics, 3rd edn. (Springer, New York 2002)CrossRefGoogle Scholar
  2. 2.
    Z. Gao: ‘Perturbational Finite Volume Method for the Convective Diffusion Equation’. In: Proc of 11th National Conference on Computational Fluid Dynamics, Luo-Yang, China, Sept. 2002 pp.38–45 (in Chinese)Google Scholar
  3. 3.
    Z. Gao: Advances in perturbation finite differential method, Advances in Mechanics 3(2), 200 (2000) (in Chinese)Google Scholar
  4. 4.
    Z. Gao, H. Xiang, Y.Q. Shen: Significance of higher-order accuracy reconstruction approximation and perturbational finite volume method, Chinese. J. Comput. Phys. 21(2), 131 (2004) (in Chinese)Google Scholar
  5. 5.
    Z. Gao, G.W. Yang: Perturbation finite volume method for convective-diffusion integral equation, accepted by Acta Mechanica Sinica (2004)Google Scholar
  6. 6.
    Y.W. Ma: The artifical unsteady method for solving one-dimensional Navier-Stokes equation, J. Comput. Math 2, 53 (1978) (in Chinese)Google Scholar

Copyright information

© Tsinghua University Press and Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Y. Q. Shen
    • 1
  • Z. Gao
    • 1
  • G. W. Yang
    • 1
  1. 1.LED, Institute of MechanicsChinese Academy of SciencesBeijingChina

Personalised recommendations