Boundary Element Methods for the Navier Stokes Equations

  • Michael T. Patterson
  • James C. Wu
  • C. M. Wang
Conference paper


Numerical solutions to the full Navier-Stokes equations are appearing frequently within the fluid dynamics community. These solutions are usually determined with finite difference algorithms. These algorithms are providing excellent data, hut at extrodinary computer costs. Boundary element methods provide an alternative to finite difference methods. In this paper, a boundary element method for the Navier-Stokes equations is described. This method is very accurate and cost efficient when applied to two-dimensional, incompressible problems. Research is now being performed to extend the procedure to two-dimensional compressible flows and to three-dimensional incompressible flows. This research is reviewed in this paper.


Boundary Element Boundary Element Method Solution Procedure Compressible Flow Vorticity Vector 
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]
    Wu, J.C., and Gulcat, U., “Separate Treatment of Attached and Detached Flow Regions in General Viscous Flows,” AIAA Journal, Vol. 19, No. 1, pp. 20–27, 1981.CrossRefMATHADSGoogle Scholar
  2. [2]
    Wu, J.C., 1984, “Zonal Solution of Unsteady Viscous Flow Problems,” AIAA Paper 84-1637.Google Scholar
  3. [3]
    Wu, J.C., Wang, C.M., and Tuncer, I.H., 1986, “Unsteady Aerodynamics of Rapidly Pitched Airfoil,” AIAA Paper 86-1105.Google Scholar
  4. [4]
    Tuncer, I.H., 1988, “Unsteady Aerodynamics of Oscillating and Rapidly Pitched Airfoils,” Ph.D. Thesis, Georgia Institute of Technology, Atlanta, Georgia.Google Scholar
  5. [5]
    McAlister, K.W., Pucci, S.L., McCroskey, W.J., and Carr, L.W., “An Experimental Study of Dynamic Stall on Advanced Airfoil Sections, Pressure and Force Data,” Vol. 2, NASA-TM-84245, 1982.Google Scholar
  6. [6]
    Abbott, I.H., and Von Doenhoff, A.E., “Theory of Wing Sections,” Dover Publications, New York, 1959.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Michael T. Patterson
    • 1
  • James C. Wu
    • 1
  • C. M. Wang
    • 1
  1. 1.Georgia Institute of TechnologyUSA

Personalised recommendations