fields_DNS1_00100000.h5 from Arrow-shaped elasto-inertial rotating waves

We present direct numerical simulations of the Taylor–Couette flow of a dilute polymer solution when only the inner cylinder rotates and the curvature of the system is moderate (η = 0.77). The finitely extensible nonlinear elastic-Peterlin closure is used to model the polymer dynamics. The simulations have revealed the existence of a novel elasto-inertial rotating wave characterized by arrow-shaped structures of the polymer stretch field aligned with the streamwise direction. This rotating wave pattern is comprehensively characterized, including an analysis of its dependence on the dimensionless Reynolds and Weissenberg numbers. Other flow states having arrow-shaped structures coexisting with other types of structures have also been identified for the first time in this study and are briefly discussed.This article is part of the theme issue ‘Taylor–Couette and related flows on the centennial of Taylor’s seminal <i>Philosophical Transactions</i> paper (Part 2)’.我们针对仅内圆柱旋转、系统曲率中等（η=0.77）的稀聚合物溶液泰勒-库埃特流（Taylor–Couette flow）开展了直接数值模拟。本研究采用有限拉伸非线性弹性-Peterlin闭合模型（finitely extensible nonlinear elastic-Peterlin closure）表征聚合物动力学过程。模拟结果揭示了一种新型弹性惯性旋转波（elasto-inertial rotating wave）的存在，该波动以与流向方向对齐的聚合物拉伸场（polymer stretch field）箭头状结构为典型特征。本文对该旋转波图案开展了全面表征，包括分析其对无量纲雷诺数（Reynolds number）与魏森贝格数（Weissenberg number）的依赖关系。此外，本研究还首次发现了同时兼具箭头状结构与其他类型结构的其他流动状态，并对其进行了简要讨论。本文属于“纪念泰勒开创性《哲学汇刊》（Philosophical Transactions）论文发表百年：泰勒-库埃特流及相关流动（第2部分）”专题专栏的内容。