In this paper, we propose a nonlocal method to identify vortex cores in three-dimensional flows as a complement to the existing list of local and nonlocal methods of the bibliography. The method is based on the vector field of the instantaneous rotation of a particle around a center. This center is defined using the Darboux vector field along the path-particle lines; the vortex core is detected using their Frenet–Serret frame. We illustrate the application of the method to identify the core of large-vortical structures in analytical and numerically simulated laminar and turbulent natural convection flows.
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Herrera, B., Pallares, J. Identification of vortex cores of three-dimensional large-vortical structures. Arch Appl Mech 83, 1383–1391 (2013). https://doi.org/10.1007/s00419-013-0753-6