Hidden Degrees of Freedom in Implicit Vortex Filaments
Hidden Degrees of Freedom in Implicit Vortex Filaments
This paper presents a new representation of curve dynamics, with applications to vortex filaments in fluid dynamics. Instead of representing these filaments with explicit curve geometry and Lagrangian equations of motion, we represent curves implicitly with a new co-dimensional 2 level set description. Our implicit representation admits several redundant mathematical …