学術雑誌論文

学術雑誌論文

Physical Review Letters. 2023, 131(25), p. 254001

Characterizing Small-Scale Dynamics of Navier-Stokes Turbulence with Transverse Lyapunov Exponents: A Data Assimilation Approach

American Physical Society

英語

2023-12-18

https://doi.org/10.1103/PhysRevLett.131.254001

Inubushi M., Saiki Y., Kobayashi M.U., et al. Characterizing Small-Scale Dynamics of Navier-Stokes Turbulence with Transverse Lyapunov Exponents: A Data Assimilation Approach. Physical Review Letters 131, 254001 (2023); https://doi.org/10.1103/PhysRevLett.131.254001.

Data assimilation (DA) of turbulence, which involves reconstructing small-scale turbulent structures based on observational data from large-scale ones, is crucial not only for practical forecasting but also for gaining a deeper understanding of turbulent dynamics. We propose a theoretical framework for DA of turbulence based on the transverse Lyapunov exponents (TLEs) in synchronization theory. Through stability analysis using TLEs, we identify a critical length scale as a key condition for DA; turbulent dynamics smaller than this scale are synchronized with larger-scale turbulent dynamics. Furthermore, considering recent findings for the maximal Lyapunov exponent and its relation with the TLEs, we clarify the Reynolds number dependence of the critical length scale.

Copyright 2023 by the American Physical Society

100039

Characterizing Small-Scale Dynamics of Navier-Stokes Turbulence with Transverse Lyapunov Exponents: A Data Assimilation Approach

American Physical Society

英語

2023-12-18

Physical Review Letters

131

25

254001

https://doi.org/10.1103/PhysRevLett.131.254001

https://hdl.handle.net/11094/100039