论文标题
基于修改的湍流模型，高雷诺数的流量拓扑优化
Flow Topology Optimization at High Reynolds Numbers Based on Modified Turbulence Models
论文作者
论文摘要
基于Darcy的源项的流拓扑优化（TOOPT）广泛用于TOOPT领域。它具有高度的自由度，不需要初始配置，因此适合于概念空气动力学设计。本文解决了两个问题的问题，以将TOOPT方法应用于高雷诺数湍流。首先，在高雷诺数数量上对固体变量（自由级速度，长度尺度和流体粘度）进行建模所需的达西源术语最小幅度之间的关系进行了定量研究。然后提出了设定Darcy术语的策略。其次，开发了与Darcy来源相关的修改术语的改良洗衣-Sharma K -E（LSKE）模型。使用新模型研究了湍流中低拖列轮廓的作用。该模型已得到验证，以反映固体对湍流的影响，即使在雷诺数高达100万中。最后，开发了一种可以识别由达西源项建模的实体的壁距计算方法，并将其集成到修改的剪切应力传输（SST）湍流模型中。在空气动力学设计中非常重要的转子状几何形状的作品是使用修改后的SST模型进行的，这证明了该模型处理涡轮机械的TOOPT的能力。
Flow topology optimization (ToOpt) based on Darcy's source term is widely used in the field of ToOpt. It has a high degree of freedom and requires no initial configuration, making it suitable for conceptual aerodynamic design. Two problems of ToOpt are addressed in this paper to apply the ToOpt method to high-Reynolds-number turbulent flow. First, the relationship between the minimum magnitude of Darcy's source term needed to model the solid and the characteristic variables of the flow (freestream velocity, length scale and fluid viscosity) at high Reynolds numbers is quantitively studied. A strategy for setting Darcy's source term is then proposed. Second, the modified Launder - Sharma k-e (LSKE) model with modification terms related to Darcy's source is developed. The ToOpt of a low-drag profile in turbulent flow is studied using the new model. The model is validated to reflect the influence of solids on turbulence even at Reynolds numbers as high as one million. Finally, a wall-distance computation method that can recognize the solid modeled by Darcy's source term is developed and integrated into the modified shear stress transport (SST) turbulence model. The ToOpt of a rotor-like geometry, which is of great importance in aerodynamic design, is conducted using the modified SST model, proving the model's ability to handle the ToOpt of turbomachinery.
