Spontaneous onset of three-dimensional motion with subsequent spatial and temporal reduction in convective flow systems
Autor: | Stofanak, Patrick J., Xiao, Cheng-Nian, Senocak, Inanc |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We study the spontaneous emergence of three-dimensional motion from a quiescent, pure conduction state in stably stratified, convective flow within a triangular enclosure, which eventually self-organizes into a two-dimensional steady state. This phenomenon demonstrates that the optimal disturbance path to reach the final state is more complex than the state itself, indicating the "fastest" route involves a higher-dimensional intermediate state. This provides a model for transient spatio-temporal chaos in nonlinear dynamical systems and a challenge for classical hydrodynamic stability theory. Comment: 8 pages, 9 figures |
Databáze: | arXiv |
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