Reconstructing Rayleigh-Bénard flows out of temperature-only measurements using nudging
arXiv:2201.02306 · doi:10.1063/5.0079625
Abstract
Nudging is a data assimilation technique that has proved to be capable of reconstructing several highly turbulent flows from a set of partial spatiotemporal measurements. In this study we apply the nudging protocol on the temperature field in a Rayleigh-Bénard Convection system at varying levels of turbulence. We assess the global, as well as scale by scale, success in reconstructing the flow and the transition to full synchronization while varying both the quantity and quality of the information provided by the sparse measurements either on the Eulerian or Lagrangian domain. We asses the statistical reproduction of the dynamic behaviour of the system by studying the spectra of the nudged fields as well as the correct prediction of the heat transfer properties as measured by the Nusselt number. Further, we analyze the results in terms of the complexity of the solutions at various Rayleigh numbers and discuss the more general problem of predicting all state variables of a system given partial or full measurements of only one subset of the fields, in particular temperature. This study sheds new light on the correlation between velocity and temperature in thermally driven flows and on the possibility to control them by acting on the temperature only.
arXiv commentPostprint version of the article published by Physics of Fluids vol 34.1 p.015128 year 2022
References in corpus (8)
- Large scale dynamics in turbulent Rayleigh-Benard convection
- Continuous Data Assimilation for the 2D Bénard Convection through Velocity Measurements Alone
- Synchronization to big-data: nudging the Navier-Stokes equations for data assimilation of turbulent flows
- Inferring flow parameters and turbulent configuration with physics-informed data-assimilation and spectral nudging
- Synchronization of Chaos in Fully-Developed Turbulence
- Continuous Data Assimilation for a 2D Bénard Convection System through Horizontal Velocity Measurements Alone
- Synchronizing subgrid scale models of turbulence to data
- Data-assimilation by delay-coordinate nudging