2018/10/22 by Rachel Levanger, Levanger, Rachel, Mu Xu +11
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Computational Physics and Python Applications #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Theoretical and Computational Physics #Time Series Analysis and Forecasting #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1810.09384
arxiv created 2018/10/22 · openalex publication_date 2018/10/22 · arxiv updated 2018/10/23 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28
We explore the chaotic dynamics of Rayleigh-Bénard convection using large-scale, parallel numerical simulations for experimentally accessible conditions. We quantify the connections between the spatiotemporal dynamics of the leading-order Lyapunov vector and different measures of the flow field pattern's topology and dynamics. We use a range of pattern diagnostics to describe the spatiotemporal features of the flow field structures which includes many of the traditional diagnostics used to describe convection as well as some diagnostics tailored to capture the dynamics of the patterns. Using precision-recall curves, we quantify the complex relationship between the pattern diagnostics and the regions where the magnitude of the leading-order Lyapunov vector is significant.