Hierarchy of Numerical Schemes for the Bie Solution in 2d Flow Simulation Using Vortex Methods
YULIA IZMAILOVA,
ILIA MARCHEVSKY,
KSENIIA SOKOL
Abstract:The problem of 2D incompressible flow simulation around airfoils with sharp edges and corner points 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. Known numerical schemes with piecewise-constant or piecewise-linear numerical solution representation provide solution reconstruction with high quality and… Show more
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