附面层修正应用于无网格算法的研究

摘要

研究了无网格算法中的附面层修正方法，在一种布置点云方法的基础上，发展一种曲面拟合的重构方式构造流场物理量；找出了无网格算法与网格算法之间的联系，成功将AUSM＋-up格式移植到无网格算法当中，并应用于计算欧拉方程的数值通量；计算中采用了一种改进的隐式时间推进，并引入当地时间步长和残值光顺等加速收敛措施，成功的将附面层修正方法应用于无网格算法，对REA2822翼型跨音速流动、NACA0012翼型跨音速流动和M6机翼跨音速流动的数值模拟结果表明本文发展的无网格算法能较好地模拟粘性流动。%In this paper, a boundary layer solution coupled with gridless method is investigated. On the base of the distributed clouds of points, a least-squares fitting and the AUSM＋-up scheme is used to obtain the numerical flux. An improved implicit algorithm is used to advanced the flow equations in time, at the same time local time stepping technique and residual averaging are employed, and coupled a boundary layer solution with gridless method. In order to demonstrate the accuracy and rudeness of the method, REA2822 aerofoil in transonic flow, NACA0012 aerofoil in transonic flow and M6 wing in transonic flow are computed. The result demonstrates that the gridless method in this paper can be used for the simulation of complex shape flow well.