2015/04/20 by L. C. Berselli, Luigi C. Berselli, T. Y. Kim +6
Engineering · Mathematics · Physics and Astronomy · #35Q30 #76D05 #76F65 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Model Reduction and Neural Networks #math.AP #msc:35Q30 #msc:76D05 #msc:76F65
paper · pdf · doi:10.48550/arxiv.1504.05050
22 pages, 5 figures
arxiv created 2015/04/20 · openalex publication_date 2015/04/20 · arxiv updated 2015/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study mathematical and physical properties of a family of recently introduced, reduced-order approximate deconvolution models. We first show a connection between these models and the NS-Voigt model, and that NS-Voigt can be re-derived in the approximate deconvolution framework. We then study the energy balance and spectra of the model, and provide results of some turbulent flow computations that backs up the theory. Analysis of global attractors for the model is also provided, as is a detailed analysis of the Voigt model's treatment of pulsatile flow.