A new reduced order model (ROM) is proposed here for reconstructing super-critical flow past circular cylinder and lid driven cavity using time-scaling of vorticity data directly. The present approach is a significant improvement over instability-mode (developed from POD modes) based approach implemented in Sengupta et al. [Phys Rev E 91(4):043303, 2015], where governing Stuart–Landau–Eckhaus equations are solved. In the present method, we propose a novel ROM that uses relation between Strouhal number (St) and Reynolds number (Re). We provide a step by step approach for this new ROM for any Re and is a general procedure with vorticity data requiring very limited storage as well as being extremely fast. We emphasize on the scientific aspects of developing ROM by taking data from close proximity of the target Re to produce DNS-quality reconstruction, while the applied aspect is also shown. All the donor points need not be immediate neighbors and the reconstructed solution has equivalent relaxed accuracy. However, one would restrain the range where the flow behavior is coherent between donors. The reported work is a proof of concept utilizing the external and internal flow examples, and this can be extended for other flows characterized by appropriate Re–St data.

中文翻译：

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通过对DNS数据进行时标插值来简化流程的排序模型

本文提出了一种新的降阶模型（ROM），该模型用于直接使用涡度数据的时间标度来重构通过圆柱体和盖驱动腔的超临界流。本方法是对Sengupta等人实施的基于不稳定性模式（从POD模式开发）的方法的重大改进。[Phys Rev E 91（4）：043303，2015]，其中解决了控制Stuart–Landau–Eckhaus方程的问题。在本方法中，我们提出了一种新颖的ROM，它使用了Strouhal数（St）和雷诺数（Re）之间的关系。我们为任何Re的这种新ROM提供逐步的方法，这是一个通用过程，其中涡度数据需要非常有限的存储并且非常快。我们强调通过从目标Re附近获取数据以产生DNS品质的重构来开发ROM的科学方面，同时也显示了应用的方面。所有供体点都不必是直接邻居，并且重建的解决方案具有同等的松弛精度。但是，将限制供体之间流动行为一致的范围。所报告的工作是利用外部和内部流程示例进行的概念验证，并且可以扩展到具有适当Re-St数据特征的其他流程。