AI 中文总结
研究旋转圆柱在宽工况范围的被动流动控制，通过基于拓扑的伴随灵敏度分析，利用多孔介质公式导出相关局部灵敏度场，经正向模拟验证，重点研究阻力和升力灵敏度组合分布，为被动流动控制提供实用设计指导。
AI 中文摘要
旋转圆柱在多种工程应用中使用，如用于风力辅助船舶推进的Flettner转子。除了优化圆柱本身的空气动力学性能，其附近的被动流动控制装置可调节气动力。本文针对旋转圆柱在雷诺数从1E+01到1E+07、旋转比在0到2π的宽工况范围内，引入基于拓扑的伴随灵敏度分析。通过多孔介质公式导出与阻力、升力和扭矩相关的局部灵敏度场，并通过正向模拟验证。重点研究了阻力和升力灵敏度的组合符号分布，得出直观设计图。系统研究表明，灵敏度场的大规模拓扑主要由旋转比决定，雷诺数影响较弱。该灵敏度图集为被动流动控制概念提供了实用设计指导。
英文摘要
Rotating circular cylinders are employed in a variety of engineering applications, one prominent example being Flettner rotors for wind-assisted ship propulsion. Besides optimizing the aerodynamic performance of the cylinder itself, passive flow-control devices placed in its vicinity offer additional potential for manipulating the resulting aerodynamic forces. The present work introduces a topology-based adjoint sensitivity analysis for rotating circular cylinders over a wide operating envelope covering Reynolds numbers from 1E+01 to 1E+07 and spinning ratios between 0 and 2 pi. Local sensitivity fields associated with drag, lift, and torque are derived using a porous-medium formulation and validated by dedicated forward simulations employing both distributed Darcy-type source terms and a sensitivity-informed passive flow-control structure. Particular emphasis is placed on the combined sign distribution of the drag and lift sensitivities, yielding intuitive design maps that directly identify regions where local momentum extraction simultaneously improves or deteriorates both objectives. A systematic investigation of the resulting sensitivity spectra reveals that the large-scale topology of the sensitivity fields is governed primarily by the spinning ratio, whereas the influence of the Reynolds number remains comparatively weak over large parts of the investigated operating envelope. The resulting sensitivity atlas provides practical design guidance for passive flow-control concepts and demonstrates that robust solutions may exist over moderate operating ranges.
