周星, 许厚谦. 计算含动边界非定常流动的无网格算法[J]. 力学与实践, 2010, 32(3): 16-21. DOI: 10.6052/1000-0879-2009-344
引用本文: 周星, 许厚谦. 计算含动边界非定常流动的无网格算法[J]. 力学与实践, 2010, 32(3): 16-21. DOI: 10.6052/1000-0879-2009-344
ZHOU Xing, XU Houqian. THE MESHLESS METHOD FOR UNSTEADY FLOW WITH MOVING BOUNDARY[J]. MECHANICS IN ENGINEERING, 2010, 32(3): 16-21. DOI: 10.6052/1000-0879-2009-344
Citation: ZHOU Xing, XU Houqian. THE MESHLESS METHOD FOR UNSTEADY FLOW WITH MOVING BOUNDARY[J]. MECHANICS IN ENGINEERING, 2010, 32(3): 16-21. DOI: 10.6052/1000-0879-2009-344

计算含动边界非定常流动的无网格算法

THE MESHLESS METHOD FOR UNSTEADY FLOW WITH MOVING BOUNDARY

  • 摘要: 在无网格算法中考虑了含动边界的流动问题,研究了可以计算处理包含一定位移及扭转动边界非定常流动的算法. 创建了无网格算法的动点法则,并引入抗扭方法对弹簧方法进行改进来处理离散点运动,提高了方法的可用度及精度. 发展了求解基于无网格的ALE方程组的算法,在点云离散的基础上采用曲面逼近计算空间导数及HLLC格式计算数值通量,运用四步龙格-库塔法进行时间推进. 在跨、超音速条件下,计算模拟了典型翼型简谐振动流场,计算结果与实验结果及文献对比吻合,验证了该算法的正确性.

     

    Abstract: The meshless method is used to solve problems with moving boundaries,A method is proposed for dealing with unsteady flow with movable and torsionalboundaries in small scale. The moving principle for discretepoints in meshless method is formulated, the spring analogy is modified toconsider the movements of points, the adaptability and precision of the analogyare enhanced. ALE equations are solved based on meshlessmethod. Based on clouds, the spatial derivatives areapproximated by using local least-squares curve fitting and the numerical fluxis calculated with HLLC scheme, a multistage Runge-Kutta algorithm is usedto advance the equation in time. The oscillating flow of representativeairfoils in transonic and supersonic conditions is simulated. Thecomputational results agree well with the experiment data, which indicatesthat the method is valid.

     

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