Viscous Flow Computation Using Navier-Stokes Equations

  • Wai-How Hui
  • Kun Xu


In the precedent chapters, we have concentrated on inviscid flow. We now extend the unified coordinates method to viscous flow via the Navier-Stokes equations in this chapter, and via the BGK modeled Boltzmann equation in the next chapter.


Stagnation Point Slip Line Incident Shock Eulerian Approach Oblique Shock Wave 
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]
    W.H. HUI, P.Y. LI AND Z.W. LI. A unified coordinate system for solving the twodimensional Euler equations. J. Comput. Phys., 153: 596–637, 1999.MathSciNetzbMATHCrossRefGoogle Scholar
  2. [2]
    W.H. HUI AND D.L. Chu. Optimum grid for the steady Euler equations. Computational Fluid Dynamics Journal, 4: 403–426, 1996.Google Scholar
  3. [3]
    G. STRANG. On the construction and comparison of difference schemes. SIAM J. Num. Anal., 5: 506–517, 1968.zbMATHCrossRefGoogle Scholar
  4. [4]
    W.H. HUI, Z.N. WU AND B. GAO. Preliminary Extension of the Unified Coordinate Approach to Computation of Viscous Flows. J. Sci. Comput., 30: 301–344, 2007.MathSciNetzbMATHCrossRefGoogle Scholar
  5. [5]
    J.M. Delery. Shock wave/boundary layer interactions. in Handbook of Shock Waves, Ben-Dor G, Igra O, Elperin T (eds), Academic Press, San Diego. Vol. II, 205–261, 2001.Google Scholar

Copyright information

© Science Press Beijing and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Wai-How Hui
    • 1
  • Kun Xu
    • 1
  1. 1.Mathematics DepartmentHong Kong University of Science and TechnologyChina

Personalised recommendations