一种用于固定笛卡尔网格上旋转叶片空气动力学的高阶通量重构致动线框架
A High-Order Flux Reconstruction Actuator-Line Framework for Rotating-Blade Aerodynamics on Fixed Cartesian Grids
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中文总结 AI 辅助
研究在固定笛卡尔网格上模拟旋转叶片空气动力学问题，核心方法是结合FR/CPR求解器与旋转ALM模型，以VAWTs为示范配置，经推导网格分辨率准则及模拟验证，该框架准确高效，适合相关风能应用研究。
中文摘要 AI 辅助
本工作将通过重构的高阶通量重构/修正程序（FR/CPR）求解器与旋转致动线模型（ALM）相结合，以在固定笛卡尔网格上模拟旋转叶片空气动力学。叶片载荷由在叶片附体坐标系中通过各向同性高斯核投影的体积体力源项表示，无需解析叶片几何形状。以垂直轴风力涡轮机（VAWTs）为示范配置，纳入改进的波音 - 韦托尔动态失速模型以捕捉非定常升力和阻力。推导了高斯投影核在合理粗网格上的网格分辨率准则。结果表明，经济高效的粗网格可在感应反馈可忽略的网格控制区域运行，促使采用双多流管（DMST）修正来恢复物理流入。在基于弦长的雷诺数Re_c ~ 3.6 x 10^5下，对一系列叶尖速比进行了模拟。该框架通过实验近尾流测量和先前报道的大涡模拟 - 致动线模型（LES - ALM）结果进行了验证，平均尾流剖面显示出良好的一致性。预测的功率系数曲线在最佳VAWT运行条件附近与高保真三维LES - ALM数据匹配在6%以内。该框架还捕捉了动态失速、方位叶片载荷、升力滞后和特征尾流结构的工况依赖性影响。这些结果表明，FR/CPR - ALM框架为VAWT分析提供了一种准确且计算高效的无几何方法，非常适合参数研究和大规模风能应用。
英文摘要
This work couples a high-order flux reconstruction/correction procedure via reconstruction (FR/CPR) solver with a rotating actuator-line model (ALM) to simulate rotating-blade aerodynamics on fixed Cartesian grids. Blade loading is represented by volumetric body force source terms projected through an isotropic Gaussian kernel in a blade-attached frame, eliminating the need to resolve blade geometry. Vertical-axis wind turbines (VAWTs) serve as the demonstration configuration, with a modified Boeing-Vertol dynamic stall model incorporated to capture unsteady lift and drag. A mesh-resolution criterion for the Gaussian projection kernel on reasonably coarse meshes is derived. It shows that cost-effective coarse meshes can operate in a mesh-controlled regime with negligible induction feedback, motivating a Double Multiple Streamtube (DMST) correction to recover the physical inflow. Simulations are carried out over a range of tip-speed ratios at a chord-based Reynolds number of Re_c ~ 3.6 x 10^5. The framework is validated against experimental near-wake measurements and previously reported LES-ALM results, and the mean wake profile shows good agreement. The predicted power-coefficient curve matches high-fidelity three-dimensional LES-ALM data to within 6% around the optimal VAWT operation conditions. The framework also captures the regime-dependent influence of dynamic stall, azimuthal blade loading, lift hysteresis, and characteristic wake structures. These results demonstrate that the FR/CPR-ALM framework provides an accurate and computationally efficient geometry-free approach for VAWT analysis, making it well suited for parametric studies and large-scale wind energy applications.
