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In this paper we nd a numerical solution for the Singular Boundary Integral Equation (SBIE), with sources distribution, of the compressible uid ow 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.

Radial basis functions for solving the singular boundary integral equation of the compressible ﬂuid ﬂow around obstacles