【摘要】 用显式无网格算法实现了多段翼型的数值模拟。与传统的网格算法不同,求解区域用“点云”离散代替通常的网格划分。基于当地点云离散结构,用二次极小曲面逼近计算空间导数。在研究该算法的基础上,给出了Euler方程无网格离散形式,运用Runge Kutta显式时间推进格式推进求解。此外,还描述了一种区域离散布点方法,研究了点云生成的选点准则,并成功地数值模拟了复杂多段翼型的绕流。更多还原

【Abstract】 The numerical simulations of the multi-element airfoils are realized by an explicit gridless method. Only clouds of points instead of grids are distributed over the computational domain and the spatial derivatives of the Euler equations are estimated using a least-square curve fit on local clouds of points. The paper gives discrete form for Euler equations on base of gridless method, and five steps of Runge-Kutta are adopted for time-marching . In addition, the paper describes a convenient technique of distributing points and selecting points to constitute clouds of points. The numerical results have been obtained for the flows over complex multi-element airfoils using the method presented.更多还原