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BEM Representation of Diffusion-Convection Equations

  • V. Kompiš
  • F. Konkol’
Part of the International Centre for Mechanical Sciences book series (CISM, volume 433)

Abstract

In this chapter, the multi-domain boundary element method (MD BEM) will be considered for the problems of computational fluid dynamics (CFD), described by the Navier-Stokes equations. The fluid flow can be convection-dominated in some parts of the domain and diffusion dominated in another parts and it can be steady or unsteady. The multi-domain (MD) BEM representation of different kind of equations used in CFD and their linearization will be introduced. Reciprocity based formulation using non-singular presentation of the Laplace and Helmholz equation is presented for the solution of the non-linear problems.

Keywords

Computational Fluid Dynamic Linear Differential Operator Boundary Integral Formulation Integral Equation Representation Elsevier Apply Science Publication 
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.

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References

  1. Skerget L., Hribersek M. and Kuhn G. (1999).: Computational fluid dynamics by boundary-domain integral method, Internat. J. Num. Meth. Engng., 46, 1291–1311.CrossRefMATHGoogle Scholar
  2. Skerget L. and Samec N. (1999). BEM for non-Newtonian fluid flow, Eng. Analysis with Bound. Elem., 23, 435–442.CrossRefMATHGoogle Scholar
  3. Wu J.C. (1982).: Problem of General Viscous Flow. Developments in BEM, vol.2, Chapter 2. Elsevier Applied Science Publication, London.Google Scholar

Copyright information

© Springer-Verlag Wien 2002

Authors and Affiliations

  • V. Kompiš
    • 1
  • F. Konkol’
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of ŽilinaŽilinaSlovak Republic

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