论文标题
高雷诺数在复杂地形上流动的墙模型的浸入边界方法
Wall modeled immersed boundary method for high Reynolds number flow over complex terrain
论文作者
论文摘要
建模复杂地形对高雷诺数量流的影响对于提高我们对风电场流动动态的理解以及在丘陵或山区地形中的花粉和污染物的分散以及城市地区的流动非常重要。不幸的是，模拟高雷诺数在复杂地形上流动仍然是一个巨大的挑战。因此，我们提出了Chester等人的墙壁建模的浸入式边界方法的简化版本。 （J.Comput。Phys。2007; 225：427-448）。通过防止原始方法中的外推和迭代步骤，提出的方法更容易实现，并且在计算上更有效。此外，所提出的方法仅需要每个处理器可用的信息，因此对于在大量内核上进行的模拟效率要高得多。这些是部署在现代超级计算机上的算法的关键考虑，并且将允许考虑更高的网格分辨率。我们验证了我们的方法，以防止风洞的测量值，用于在壁挂式立方体上，二维脊和三维山丘上的湍流。我们发现模拟结果与测量数据之间的一致性非常好，这表明该方法适合模拟高雷诺数在复杂地形上流动。
Modeling the effect of complex terrain on high Reynolds number flows is important to improve our understanding of flow dynamics in wind farms and the dispersion of pollen and pollutants in hilly or mountainous terrain as well as the flow in urban areas. Unfortunately, simulating high Reynolds number flows over complex terrain is still a big challenge. Therefore, we present a simplified version of the wall modeled immersed boundary method by Chester et al. (J. Comput. Phys. 2007; 225: 427-448). By preventing the extrapolation and iteration steps in the original method, the proposed approach is much easier to implement and more computationally efficient. Furthermore, the proposed method only requires information that is available to each processor and thus is much more efficient for simulations performed on a large number of cores. These are crucial considerations for algorithms that are deployed on modern supercomputers and will allow much higher grid resolutions to be considered. We validate our method against wind tunnel measurements for turbulent flows over wall-mounted cubes, a two dimensional ridge, and a three-dimensional hill. We find very good agreement between the simulation results and the measurement data, which shows this method is suitable to model high Reynolds number flows over complex terrain.
