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Application of the Boundary Element Method for the Simulation of Two-dimensional Viscous Incompressible Flow
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. Thi smakes 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.
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- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1515/heem-2015-0004
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- Category:
- Articles
- Type:
- artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
- Published in:
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Archives of Hydro-Engineering and Environmental Mechanics
no. 61,
pages 163 - 173,
ISSN: 1231-3726 - Language:
- English
- Publication year:
- 2015
- Bibliographic description:
- Prybytak D.: Application of the Boundary Element Method for the Simulation of Two-dimensional Viscous Incompressible Flow// Archives of Hydro-Engineering and Environmental Mechanics. -Vol. 61., iss. 3–4 (2015), s.163-173
- DOI:
- Digital Object Identifier (open in new tab) 10.1515/heem-2015-0004
- Verified by:
- Gdańsk University of Technology
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