Continuous data assimilation closure for modeling statistically steady turbulence in large-eddy simulation

作     者：Sagy R. Ephrati Arnout Franken Erwin Luesink Paolo Cifani Bernard J. Geurts 

作者机构：Department of Mathematical Sciences Chalmers University of Technology and University of Gothenburg 412 96 Gothenburg Sweden Mathematics of Multiscale Modeling and Simulation Faculty EEMCS University of Twente 7500 AE Enschede The Netherlands Multiscale Energy Physics CCER Faculty Applied Physics Eindhoven University of Technology 5600 MB Eindhoven The Netherlands 

出 版 物：《Physical Review Fluids》 (Phys. Rev. Fluids)

年 卷 期：2025年第10卷第1期

页      面：013801-013801页

核心收录：

基　　金：Nederlandse Organisatie voor Wetenschappelijk Onderzoek, NWO National Science Foundation, NSF Vetenskapsrådet, VR, (2022-03453) Vetenskapsrådet, VR 

主　　题：Large eddy simulation 

摘      要：A closure model is presented for large-eddy simulation (LES) based on the three-dimensional variational data assimilation algorithm. The approach aims at reconstructing high-fidelity kinetic energy spectra in coarse numerical simulations by including feedback control to represent unresolved dynamics interactions in the flow as stochastic processes. The forcing uses statistics obtained from offline high-fidelity data and requires only a few parameters compared to the number of degrees of freedom of LES. This modeling strategy is applied to geostrophic turbulence on the sphere and enables simulating indefinitely at reduced cost. The method accurately recovers the energy spectra and the zonal velocity profiles in the coarse model for three generic situations.