Modeling the dynamics of vortex structures by the vortex element method

The vortex meshless Lagrangian methods of computational fluid dynamics are efficient when solving joint aerohydroelasticity problems in the case of an incompressible flow around bodies in a medium. The actual problem is a quadratic increase of the run time following the increase in the number of vortex elements in the design scheme. In this study, an algorithm for the velocity field calculation is developed on the basis of the multipole expansion method and parallel computing algorithms. The algorithm was evaluated and tested by solving the problem of evolution of vortex rings. The study showed that the combination of both approaches makes it possible to increase the simulation speed by hundreds of times with a 16-core compute cluster. The developed algorithm will allow us to solve topical engineering problems on a real time basis.

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