<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

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

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

Archives of Hydro-Engineering and Environmental Mechanics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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...

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

Published Online: Oct 07, 2015

Page range: 163 - 173

Received: Oct 14, 2014

DOI: https://doi.org/10.1515/heem-2015-0010

Keywords
mathematical modeling, numerical solution, boundary element method, flow of a Stokes liquid

© by Dzmitry Prybytak

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Oct 07, 2015

Page range: 163 - 173

Received: Oct 14, 2014

DOI: https://doi.org/10.1515/heem-2015-0010

Keywordsmathematical modeling, numerical solution, boundary element method, flow of a Stokes liquid

© by Dzmitry Prybytak

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
mathematical modeling, numerical solution, boundary element method, flow of a Stokes liquid