The impact of the Dirichlet boundary conditions on the convergence of the discretized system of nonlinear equations for potential problems

  • Jan Kucwaj

Abstract

The purpose of this paper is the analysis of numerical approaches obtained by describing the Dirichlet boundary conditions on different connected components of the computational domain boundary for potential flow, provided that the domain is a rectangle. The considered problem is a potential flow around an airfoil profile. It is shown that in the case of a rectangular computational domain with two sides perpendicular to the speed direction, the potential function is constant on the connected components of these sides. This allows to state the Dirichlet conditions on the considered parts of the boundary instead of the potential jump on the slice connecting the trail edge with the external boundary. Furthermore, the adaptive remeshing method is applied to the solution of the considered problem.

Keywords

adaptation, rate of convergence, remeshing, Delaunay triangulation, finite element method, potential flow, Kutta-Joukovsky condition, Dirichlet condition,

References

Published
Jan 25, 2017
How to Cite
KUCWAJ, Jan. The impact of the Dirichlet boundary conditions on the convergence of the discretized system of nonlinear equations for potential problems. Computer Assisted Methods in Engineering and Science, [S.l.], v. 23, n. 1, p. 69-81, jan. 2017. ISSN 2299-3649. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/6>. Date accessed: 26 jan. 2022.
Section
Articles