| Issue |
ITM Web Conf.
Volume 34, 2020
International Conference on Applied Mathematics and Numerical Methods – third edition (ICAMNM 2020)
|
|
|---|---|---|
| Article Number | 02003 | |
| Number of page(s) | 13 | |
| Section | Applied Mathematics and Numerical Methods | |
| DOI | https://doi.org/10.1051/itmconf/20203402003 | |
| Published online | 03 December 2020 | |
Radial basis functions for solving the singular boundary integral equation of the compressible fluid flow around obstacles
Department of Applied Mathematics University of Craiova
* e-mail: lumigrecu@hotmail.com
Abstract In this paper we find a numerical solution for the Singular Boundary Integral Equation (SBIE), with sources distribution, of the compressible fluid flow around obstacles. The numerical solution is obtained by using linear boundary elements, radial basis functions for the unknown approximation and the Cauchy Principal Value for the treatment of singularities that appear. The proposed method is implemented into a computer code, made in Mathcad programming language, and, for some particular cases, numerical solutions are found. An analytic checking of the computer code is also made, in order to validate the proposed approach.
© The Authors, published by EDP Sciences, 2020
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