On the Algorithms for Vortex Element Evolution Modelling in 3D Fully Lagrangian Vortex Loops Method

Abstract

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.

Searching of Individual Vortices in Experimental Data

“…The fluid simulation by using the quantized vortices [23] is able to reconstruct the velocity spectra [18] and overall topology [24]. This method is applied in classical turbulence among others by the group of Ilia Marchevsky [25][26][27].…”