基于SPH的无网格点快速生成算法及翼型绕流研究  

Efficient meshless point generation algorithm and airfoil flow research based on SPH

作　　者：武伟[1] 蔡晓伟 张军[1] 吴云飞 沈屹 张召明[1] WU Wei;CAI Xiaowei;ZHANG Jun;WU Yunfei;SHEN Yi;ZHANG Zhaoming(Key Laboratory of Unsteady Aerodynamics and Flow Control,Ministry of Industry and Information Technology,NUAA,Nanjing 210016,China;China Ship Scientific Research Center,Wuxi 214082,China)

机构地区：[1]南京航空航天大学非定常空气动力学与流动控制工业和信息化部重点实验室,江苏南京210016 [2]中国船舶科学研究中心,江苏无锡214082

出　　处：《飞行力学》2023年第3期27-32,共6页Flight Dynamics

基　　金：国防科技重点实验室基金资助(6142203190305)。

摘　　要：提出了一套基于光滑粒子流体动力学(SPH)方法的高效无网格点生成算法。首先,采用Catmull-Rom三次样条对边界曲线进行参数化建模,由笛卡尔点生成背景节点系统并通过改进加速射线法判断背景节点位置。然后,对复杂二维固体边界和二维圆柱入水两个算例分别进行布点测试,结果表明所提算法能够大幅度减少射线法的判断次数,极大提升了离散布点的计算效率。最后,针对Re=103时的NACA0012翼型绕流问题,通过所提布点算法对其离散布点后,进一步采用SPH方法进行了数值模拟和气动特性分析。仿真结果表明,计算结果与文献结果吻合较好,进一步验证了布点算法的合理性和有效性。An efficient meshless point generation algorithm based on the smoothed particle hydrodynamics(SPH)is presented.Firstly,the Catmull-Rom cubic spline is used to parametrically model the boundary.Background points are generated from the Cartesian points and judged by the accelerated ray method proposed in this work.Then,tests are carried out on point generations of domains of a two-dimensional solid with complex boundary and a two-dimensional cylinder falling into water to verify the efficiency of the algorithm.The results show that the proposed algorithm can greatly reduce the number of judgments of ray method and improve the corresponding calculation efficiency of meshless point generation.Finally,based on the meshless points generated by the proposed algorithm,the flow around a NACA0012 airfoil at Re=10~3 is numerically simulated and analyzed by the SPH method.Simulation results show that the aerodynamic characteristics are in good agreement with that reported in the literature,which greatly validates the proposed point generation algorithm.

关 键 词：SPH 无网格节点生成 射线法 

分 类 号：V211.5[航空宇航科学与技术—航空宇航推进理论与工程]