Objective Vortex Corelines of Finite-sized Objects in Fluid Flows

Area of Science:

• Fluid Dynamics
• Computational Physics
• Particle Transport

Background:

• Vortex coreline detection is crucial in fluid dynamics.
• Optimal vortex coreline detection relies on a reference frame moving with the vortex center.
• Existing methods are limited, especially for inertial particles.

Purpose of the Study:

• To extend objective optimization frameworks for tracer particles to inertial particles.
• To develop a robust method for detecting inertial vortex corelines in 2D and 3D flows.
• To address the high-dimensional problem of optimal frame search for inertial particles.

Main Methods:

• Extension of objective optimization framework for tracer particles.
• Reduction of 2D inertial vortex coreline detection to a critical point search.
• Proposal of a recursive subdivision approach for 6D vector fields in 3D flows.

Main Results:

• Demonstration that 2D inertial vortex coreline detection can be simplified.
• Development of an objective algorithm for 3D inertial vortex coreline detection using a 6D vector criterion.
• Successful extraction of vortex corelines in various 2D and 3D vector fields.

Conclusions:

• The proposed method provides an objective approach to inertial vortex coreline detection.
• The recursive subdivision algorithm effectively handles the 6D vector condition in 3D flows.
• This technique enhances the study of fluid phenomena involving inertial particles.