14 citations · 45 across the 8 of their papers we have counts for
8 papers
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…
Finite rotating and translating vortex sheets
Bartosz Protas, Stefan G. Llewellyn Smith, Takashi Sakajo
We consider the rotating and translating equilibria of open finite vortex sheets with endpoints in two-dimensional potential flows. New results are obtained concerning the stabilit…
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…
Rotating Equilibria of Vortex Sheets
Bartosz Protas, Takashi Sakajo
We consider relative equilibrium solutions of the two-dimensional Euler equations in which the vorticity is concentrated on a union of finite-length vortex sheets. Using methods of…
Harnessing the Kelvin-Helmholtz Instability: Feedback Stabilization of an Inviscid Vortex Sheet
Bartosz Protas, Takashi Sakajo
In this investigation we use a simple model of the dynamics of an inviscid vortex sheet given by the Birkhoff-Rott equation to obtain fundamental insights about the potential for s…
Turbulence, cascade and singularity in a generalization of the Constantin-Lax-Majda equation
Takeshi Matsumoto, Takashi Sakajo
We study numerically a Constantin-Lax-Majda-De Gregorio model generalized by Okamoto, Sakajo and Wunsch, which is a model of fluid turbulence in one dimension with an inviscid cons…
Universality of the anomalous enstrophy dissipation at the collapse of three point vortices on Euler-Poincaré models
Takeshi Gotoda, Takashi Sakajo
Anomalous enstrophy dissipation of incompressible flows in the inviscid limit is a significant property characterizing two-dimensional turbulence. It indicates that the investigati…
One-dimensional hydrodynamic model generating a turbulent cascade
Takeshi Matsumoto, Takashi Sakajo
As a minimal mathematical model generating cascade analogous to that of the Navier-Stokes turbulence in the inertial range, we propose a one-dimensional partial-differential-equati…