将AUSM+-up格式推广运用到了无网格算法中。在点云离散的基础上,运用曲面拟合和AUSM+-up格式求得数值通量;采用四步龙格-库塔方法进行时间推进,并引入当地时间步长和残值光顺等加速收敛措施。为了验证本文方法的计算精度和鲁棒性,对NACA0012翼型跨声速流动、某三段翼型低速绕流、平行错位NACA0012双翼超声速、高超声速流动进行了数值模拟。 AUSM + -up format to promote the use of the gridless algorithm. On the basis of discrete point cloud, the numerical fluxes were obtained by using surface fitting and AUSM + -up format. The four-step Runge-Kutta method was used for time advancement and the local time step and salvage value were introduced to accelerate the convergence Measures. In order to verify the accuracy and robustness of the proposed method, the NACA0012 airfoil supersonic flow and hypersonic flow were simulated numerically.