Motion of a Vortex Filament in the Half Space
Masashi Aiki, Tatsuo Iguchi
TL;DR
This paper models the motion of a vortex filament near a boundary in an incompressible fluid, aiming to understand tornado-like behavior through solving an initial-boundary value problem.
Contribution
It introduces a boundary condition allowing the vortex filament to move on the boundary and solves the associated initial-boundary value problem.
Findings
Successfully modeled vortex filament motion in half space.
Provided mathematical solutions for boundary-influenced vortex dynamics.
Enhanced understanding of tornado-like vortex behavior near boundaries.
Abstract
A model equation for the motion of a vortex filament immersed in three dimensional, incompressible and inviscid fluid is investigated as a humble attempt to model the motion of a tornado. We solve an initial-boundary value problem in the half space where we impose a boundary condition in which the vortex filament is allowed to move on the boundary.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMeteorological Phenomena and Simulations · Fluid Dynamics and Turbulent Flows · Gas Dynamics and Kinetic Theory