2023
DOI: 10.1088/1742-6596/2543/1/012002
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Singularity resolving in solution of the boundary integral equation in two-dimensional vortex methods

Abstract: The problem of 2D incompressible flow simulation around airfoils with sharp edges and corner point is considered. The solution of the boundary integral equation with respect to vortex sheet intensity arising in Lagrangian vortex method has weak singularity that cannot be resolved correctly in the framework of the existing Galerkin-type numerical schemes. It is shown that for piecewise-smooth bounded solutions the known schemes allow for solution reconstruction with high quality and provide the 2-nd order of ac… Show more

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