engleski

Vortical Flow Airfoil Dynamics in Lie Group Setting: Geometric Reduction and Numerical Analysis

By using principles of geometric mechanics - under assumption of its Hamiltonian structure - it is possible to treat solid-fluid system in a monolithic way without separating its fluid and solid part, as it is standard procedure in the contemporary computational practice. This strategy involves symplectic and Lie-Poisson reduction of the airfoil-fluid Hamiltonian system and allows for significantly improved numerical efficiency, since full discretization of the fluid domain becomes non-obligatory. However, in order to take into account viscous effects of fluid flow, numerical imposing of Kutta condition on the airfoil trailing edge is mandatory. To this end, a new hybrid approach - combining analytical and numerical modeling techniques as well as model reduction procedures - for dynamics simulation of airfoil motion in fluid flow with vortices will be described.

Fluid-structure interaction ; Lie Groups

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