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6 papers · 1 filter
Unraveling Self-Similar Energy Transfer Dynamics: a Case Study for 1D Burgers System
Pritpal Matharu, Bartosz Protas, Tsuyoshi Yoneda
In this work we consider the problem of constructing initial conditions for a flow model such that the resulting flow evolution leads to a self-similar energy cascade consistent wi…
Characterizing Data Assimilation in Navier-Stokes Turbulence with Transverse Lyapunov Exponents
Masanobu Inubushi, Yoshitaka Saiki, Miki U. Kobayashi +1
Data assimilation (DA) reconstructing small-scale turbulent structures is crucial for forecasting and understanding turbulence. This study proposes a theoretical framework for DA b…
On Maximum Enstrophy Dissipation in 2D Navier-Stokes Flows in the Limit of Vanishing Viscosity
Pritpal Matharu, Tsuyoshi Yoneda, Bartosz Protas
We consider enstrophy dissipation in two-dimensional (2D) Navier-Stokes flows and focus on how this quantity behaves in thelimit of vanishing viscosity. After recalling a number of…
Self-similar hierarchy of coherent tubular vortices in turbulence
Tomonori Tsuruhashi, Susumu Goto, Sunao Oka +1
Energy transfers from larger to smaller scales in turbulence. This energy cascade is a process of the creation of smaller-scale coherent vortices by larger ones. In our recent stud…
Mathematical reformulation of the Kolmogorov-Richardson energy cascade in terms of vortex stretching
Tsuyoshi Yoneda, Susumu Goto, Tomonori Tsuruhashi
In this paper, with the aid of direct numerical simulations (DNS) of forced turbulence in a periodic domain, we mathematically reformulate the Kolmogorov-Richardson energy cascade…
Machine-learning construction of a model for a macroscopic fluid variable using the delay-coordinate of a scalar observable
Kengo Nakai, Yoshitaka Saiki
We construct a data-driven dynamical system model for a macroscopic variable the Reynolds number of a high-dimensionally chaotic fluid flow by training its scalar time-series data.…