Application of the Boundary Element Method for the Simulation of Two-dimensional Viscous Incompressible Flow

• Autorzy: Prybytak D.

Identyfikatory

DOI

10.1515/heem-2015-0010

• Języki publikacji: EN

Abstrakty

EN

The paper presents the application of an indirect variant of the boundary element method (BEM) to solve the two-dimensional steady flow of a Stokes liquid. In the BEM, a system of differential equations is transformed into integral equations. This makes it possible to limit discretization to the border of the solution. Numerical discretization of the computational domain was performed with linear boundary elements, for which a constant value of unknown functions was assumed. The verification was carried out for the case of flow in a square cavity with one moving wall. The results obtained show that the use of approximations by simple linear functions is relatively easy for different shapes of the area, but the result may be affected by significant errors.

Słowa kluczowe

EN

mathematical modeling; numerical solution; boundary element method; flow of Stokes liquid

• Wydawca: Institute of Hydro-Engineering of Polish Academy of Sciences
• Czasopismo: Archives of Hydro-Engineering and Environmental Mechanics
• Rocznik: 2014
• Tom: Vol. 61, nr 3-4
• Strony: 163–--173
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Prybytak D.

• Gdańsk University of Technology, Faculty of Civil and Environmental Engineering, ul. G. Narutowicza 11/12, 80-233 Gdańsk, Poland

Bibliografia

• Banerjee P. K., Butterfield R. (1981) Boundary Element Methods in Engineering Science, McGraw-Hill, London, New York.
• Brebbia C. A. (1982) Boundary Element Methods in Engineering, Springer-Verlag, Berlin.
• Childress S. (2008) An Introduction to Theoretical Fluid Dynamics. Chapter 7 - Stokes flow, New York.
• Hahn M. (2013) Investigation of the boundary integral method for Stokes flow, Master’s thesis: University of Bayreuth, Bayreuth.
• Katsikadelis J. T. (2002) Boundary Elements: Theory and Applications, Elsevier Science, Ron Mobed, Oxford.
• Marin O. (2012) Boundary integral methods for Stokes flow: Quadrature techniques and fast Ewald methods, PhD thesis: KTH Royal Institute of Technology, Stockholm.
• Pozrikidis C. (1992) Boundary Integral and Singularity Methods for Linearized Viscous Flow, Cambridge University Press, Peter Phillips, Cambridge.
• Teleszewski T. J., Sorko S. A. (2011) Application of the boundary element method for the simulation of two-dimensional viscous flow, Acta Mechanica et Automatica, 5 (1) (in Polish).