Simulating 2D viscous flow around geometries with vertices through the Diffused Vortex Hydrodynamics method

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The Diffused Vortex Hydrodynamics (DVH) is a recent numerical model born as an evolution of the classical vortex particle methods, where an improvement of the solution quality has been achieved through a regularization of the particles spatial distribution during the vorticity diffusion process. The DVH method is a pure meshless method which adopts a body-fitted approach to enforce no-slip boundary condition on solid surfaces. In the present work it is exploited to perform an accurate analysis of the vorticity field generated by the incompressible flow around bodies with geometrical singularities. In common academic or technological applications, such singularities are quite frequent (e.g. trailing edges of wing profiles or of propeller blades) and the classical Euler mesh-based methods can suffer in modeling these geometries. In the recent years a wide literature was produced in order to describe enhanced numerical methods that could overcome such challenging problems. The potentialities of the DVH approach to problems where bodies with geometric singularities are involved are deeply discussed and some examples are finally offered.