Advertisement

Contour-Integral Representation of Single and Double Layer Potentials for Axisymmetric Problems

  • Emilia G. Bazhlekova
  • Ivan B. Bazhlekov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2542)

Abstract

Based on recently proposed non-singular contour-integral representations of single and double layer potentials for 3D surfaces, formulas in the axisymmetric case are derived. They express explicitly the singular layer potentials in terms of elliptic integrals. The presented expressions are non-singular, satisfy exactly very important conservation principles and directly take into account the multivaluedness of the double layer potential. The results are compared with another method for calculating the single and double layer potentials. The comparison demonstrates higher accuracy and better performance of the presented formulas.

Keywords

Contour Integration Elliptic Integral Layer Potential Line Integration Axisymmetric Problem 
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.
    Stone H.A., Leal L.G.: Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid. J. Fluid Mech. 198 (1989) 399CrossRefGoogle Scholar
  2. 2.
    Davis R.H.: Buoyancy-driven viscous interaction of a rising drop with a smaller trailing drop. Phys. of Fluids 11 no.5 (1999) 1016CrossRefGoogle Scholar
  3. 3.
    Kwak S., Fyrillas M.M. and Pozrikidis C.: Effect of surfactants on the instability of a liquid thread. Part II: Extensional flow. Int. J. Multiphase Flow 27 (2001) 39CrossRefzbMATHGoogle Scholar
  4. 4.
    Pozrikidis C.: Boundary-Integral and Singularity Methods for Linearized Viscous Flow. Cambridge U.P., Cambridge (1992)Google Scholar
  5. 5.
    Byrd P.F., Friedman M.D.: Handbook of Elliptic Integrals for Engineers and Scientists. Springer-Verlag, New York (1971)zbMATHGoogle Scholar
  6. 6.
    Bazhlekov I., Bazhlekova E.: Non-singular contour-integral representation of single and double layer potentials. (in preparation)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Emilia G. Bazhlekova
    • 1
  • Ivan B. Bazhlekov
    • 1
  1. 1.Institute of Mathematics, BASSofiaBulgaria

Personalised recommendations