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An overset grid method coupling an orthogonal curvilinear grid solver and a Cartesian grid solver

机译：耦合正交曲线栅格求解器和笛卡尔栅格求解器的潜推网格方法

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摘要

The objective of the current study is development of a coupled orthogonal curvilinear/Cartesian grid solver. The solver requires a thin orthogonal boundary layer grid and a non-uniform Cartesian grid to resolve the boundary layer on a solid surface and the flow region away from the surface, respectively. Flows inside the orthogonal boundary layer and Cartesian background grids are solved by different CFD solvers which are coupled by an overset grid method. SUGGAR code writes the grid domain connectivity information into a file that identifies grid points necessary for the overset grid interpolation. In order to satisfy mass conservation across the overlapping region, the pressure Poisson equations and the overset interpolation equations are encompassed from both of the solvers and solved simultaneously by an iterative method.Accuracy of the coupled orthogonal curvilinear/Cartesian grid solver was evaluated in terms of flows past circular cylinders because the orthogonal boundary layer grids can be generated easily due to its simple cylindrical shape. In this study, additional numerical simulations were also performed by the original orthogonal curvilinear and Cartesian grid solvers in order to obtain the benchmark data to compare with the results of the coupled orthogonal curvilinear/Cartesian grid solver.The coupled orthogonal curvilinear/Cartesian grid solver was applied to steady and unsteady laminar flows at Re = 40 and 200, single-phase turbulent flows at subcritical Re = 3900 and supercritical Re = 5×105 and 1×106, and two-phase flows at (Re, Fr) = (2.7×104, 0.20), (2.7×104, 0.80), and (4.58×105, 1.64). Those numerical results are in good agreement with the experimental and numerical results in the literature.Effects of the grid resolution on the numerical results were analyzed in this study. The analysis showed the more accurate resolution of near-wall regions by the boundary layer grids for the coupled orthogonal curvilinear/Cartesian grid solver. It also presented the similar trends of the flow at the subcritical Re with the vertical resolution to those observed in the literature.The coupled orthogonal curvilinear/Cartesian grid solver predicted much delayed separations of the boundary layers at both the supercritical Re, which caused the narrower wakes and the shorter recirculation regions than those at the subcritical Re. The features of surface pressure corresponded to the postponed separations.The solver developed in this study showed the similar trends in the two-phase flows at Fr = 0.20 and 0.80 to those observed by the past numerical studies. The trends of the vortex shedding, deviating shear layers, and the expanded wake on the free surface are more prominent in the flow at Fr = 0.80 than that at Fr = 0.20.At Re = 4.58×105 and Fr = 1.64, the flow near the free surface includes the small recirculation region behind the cylinder, which corresponds to the cavity structure on the free surface in the same region, and two large symmetric recirculation regions. The shear layers separating from the cylinder surface move along the outer edges of the recirculation regions. Another pair of the shear layers is separated from the smaller recirculation region.
机译：目前研究的目的是一个耦合正交曲线/笛卡尔网格求解器的发展。解算器需要一个薄正交边界层网格和非均匀笛卡尔网格以分别从表面解决在固体表面上的边界层和流动区域离开。正交边界层和笛卡尔网格背景内流通过它们通过溢流网格法耦合不同CFD解算器来解决。 SUGGAR代码写网域连通性信息到一个文件中识别电网的电网溢流插补点必要的。为了满足整个重叠区域质量守恒，压力泊松方程和溢流插值公式从两个解算器所涵盖的并且由耦接正交曲线/笛卡尔网格求解器的迭代method.Accuracy同时解决在以下方面进行评价因为正交边界层网格可以容易地生成，由于其简单的圆筒形流过圆形圆柱体。在这项研究中，附加的数值模拟也通过原始正交曲线和笛卡尔网格求解，以获得所述基准数据与所述耦合正交曲线/笛卡尔网格solver.The耦合正交曲线/笛卡尔网格解算器是的结果进行比较进行施加到稳定和不稳定层状当Re = 40和200流动时，单相湍流在亚临界RE = 3900和超临界RE = 5×105和1×106，和两相在（RE，FR）=流动流（2.7 ×104，0.20），（2.7×104，0.80）和（4.58×105，1.64）。这些数值结果与实验和数值结果对计算结果的网格分辨率的literature.Effects在这项研究进行了分析吻合。该分析由边界层网格为耦合正交曲线/笛卡尔网格求解器显示近壁区域的更精确的分辨率。它还呈现的流的类似的趋势在与垂直分辨率那些在literature.The观察到亚临界再耦合正交曲线/笛卡尔网格在两个超临界RE，这引起了较窄的解算器所预测的边界层的多延迟分离尾流和比那些在亚临界再较短再循环区域。表面压力的特征对应于推迟separations.The在本研究中开发的解算器显示，在两相的类似的趋势在星期五流动= 0.20和0.80〜那些由过去的数值研究中观察到。涡旋脱落，偏差剪切层的趋势，并在自由表面上的扩展是唤醒在FR = 0.20.At RE = 4.58×105和FR = 1.64，附近的流动在fr处的流速= 0.80比更加突出自由表面包括所述气缸后面的小回流区域，其对应于在相同区域中的自由表面上的腔结构，和两个对称的大的再循环区域。所述剪切层从沿着再循环区域的外边缘的圆筒表面移动分离。另一对剪切层的从较小的再循环区域分离。

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    Akira Hanaoka;

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