ITM Web Conf.
Volume 34, 2020International Conference on Applied Mathematics and Numerical Methods – third edition (ICAMNM 2020)
|Number of page(s)
|Applied Mathematics and Numerical Methods
|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
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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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