Discontinuous h-p Galerkin approximation of potential flows

A discontinuous h-p Galerkin method is presented for solving steady potential flows about nonlifting bodies. The problem is solved by means of the boundary integral equation formulation. The body surface panels do not have to be structured, so it can be produced by a standard CAD system. Furthermore, numerical quadratures for calculating single and double-layer potentials are given. More generally, these numerical quadratures are shown to be useful for evaluating surface integrals involving kernels which are pseudo-homogeneous of minus-one degree.

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