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math.DS2024
Topological vortex identification for two-dimensional turbulent flows in doubly periodic domains
Mitsuaki Kimura, Takeshi Matsumoto, Takashi Sakajo +2
The dynamics and statistical properties of two-dimensional (2D) turbulence are often investigated through numerical simulations of incompressible, viscous fluids in doubly periodic…
math.DS2020
Discrete representations of orbit structures of flows for topological data analysis
Takashi Sakajo, Tomoo Yokoyama
This paper shows that the topological structures of particle orbits generated by a generic class of vector fields on spherical surfaces, called {\it the flow of finite type}, are i…