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The new modification of vortex method is considered. It is based on closed vortex loops that can be considered as the separate vortex “superelement”. It is shown that such approach has number of advantages for vortex wakes evolution simulation. The loops generation algorithm permits to simulate the separation zone due to the self-organization of the loops. In this case, there is no need to determine the location of the vortex sheet separation zones. The developed software package can be used in the calculation of aerodynamic loads on unmanned aerial vehicles, as well as in solving the aeroelasticity problems of structural elements of these aircraft.

A new approach is developed for incompressible 3D flow simulation around bodies by Lagrangian vortex method. Closed vortex loops are considered as vortex elements, which are generated on all the body surface and provide the satisfaction of the no-slip boundary condition. The procedure of double layer potential density reconstruction is considered, which consists of two steps. Firstly, the integral equation with respect to vortex sheet intensity is solved, which expresses the equality between the tangential components of flow velocity limit value and the body surface velocity. It is solved by using Galerkin approach. Secondly, the least-squares procedure is implemented, which permits to find nodal values of the double layer potential density. It is shown that the developed algorithm makes it possible to improve significantly the quality of solution for the bodies with very complicated geometry and low-quality surface meshes. The combination of this approach with vortex wake modelling with vortex loops, permits to simulate unsteady flows with higher resolution with acceptable numerical complexity. It can be useful for CFD applications and visual effects reproducing in computer graphics.

Some implementation details of fully Lagrangian vortex loops method algorithm are presented. The vortex loops method can be applied to various engineering applications, where it is required to simulate the flow around the body of arbitrary shape and to estimate hydrodynamic loads. The original approach is implemented that permits to solve boundary integral equation with rather high accuracy at coarse and non-uniform body surface triangulation. Vorticity distribution in the flow is simulated by closed vortex loops. The presented algorithm allows to simulate movement of the vortex loops, which simulate vorticity distribution in the flow, their stretching, reconnection, etc. Note, that the viscosity influence is taken into account only through vorticity generation on the body surface.

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