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将基于计算区域整体直角网格物面附近局部无网格的无网格/直角网格混合算法发展用于求解粘性流动问题。针对粘性流动,特别是高雷诺数粘性流动边界层薄的特点,在局部无网格布点过程中引入了点距控制函数,使得生成的点云结构能反映粘性流动边界层特点,同时结合无网格区之间的布点干涉机制,将算法拓广到处理多个物体相互干扰的复杂流动问题。对于整体直角网格,采用直角坐标与四叉树加密的方法生成非结构直角网格。由于采用了局部四叉树加密,使得网格区与无网格区之间过渡可控,再结合提出的基于距离和夹角的点云选点策略,保证了网格区与无网格区交界处点云的质量。给出了求解NS方程耦合SA湍流模型的无网格/直角网格混合算法的具体实施方法,数值模拟了NACA0012翼型亚声速和RAE2822翼型跨声速粘性绕流,计算结果与实验数据进行了比较与验证。最后给出了GA(W)-1两段翼型的粘性绕流数值模拟算例,展示了所提方法的可行性。
A Meshless / Cartesian grid hybrid algorithm based on local meshless meshing near the entire rectangular area in the computational region is developed to solve the viscous flow problem. In view of the characteristics of viscous flow, especially the high Reynolds number viscous flow boundary layer, a point-space control function is introduced in the local meshless point distribution so that the generated point cloud structure can reflect the characteristics of viscous flow boundary layer, Dispatch point between the lattice interference mechanism, the algorithm extended to deal with the complex flow of multiple objects interfere with each other. For the whole right-angle grid, rectangular grid and quadtree encryption are used to generate a non-structured right-angle grid. Due to the use of local quadtree encryption, the transition between grid area and meshless area can be controlled. Combined with the proposed point cloud selection strategy based on distance and angle, the grid area and gridless area The quality of the point cloud at the junction. A concrete method of meshless / right-angle mesh hybrid algorithm for solving NS equation coupled SA turbulence model is presented. The numerical simulation of transonic viscous flow around NACA0012 airfoil and RAE2822 airfoil are carried out. The calculated results and experimental data Comparison and verification. Finally, a numerical example of viscous flow around the GA (W) -1 airfoil is given, which shows the feasibility of the proposed method.