标题： 约化阶近似反卷积模型的分析及其作为Navier-Stokes-Voigt正则化的解释 显示英文标题

标题： Analysis of a Reduced-Order Approximate Deconvolution Model and its interpretation as a Navier-Stokes-Voigt regularization

摘要： 我们研究了一类最近引入的降阶近似反卷积模型的数学和物理性质。 我们首先展示了这些模型与NS-Voigt模型之间的联系，并表明NS-Voigt可以在近似反卷积框架中重新推导出来。 然后我们研究了该模型的能量平衡和频谱，并提供了支持该理论的一些湍流流动计算结果。 还提供了该模型全局吸引子的分析，以及对Voigt模型处理脉动流动的详细分析。 显示英文摘要

摘要： 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.