摘要
对基于RBF(径向基函数)插值的网格变形方法进行改进,得到1种支持半径自适应调节的RBF插值算法网格变形方法。首先以ONERA-M6机翼为对象,采用RBF插值法在不同翼尖变形条件下进行网格变形,发现RBF插值法中的支持半径会显著影响网格变形质量,并且网格变形质量随着支持半径的增大呈现出先增大后缓慢减小或基本不变的特点,由此提出了基于MPI的支持半径自适应RBF插值算法。该算法通过网格质量是否随支持半径的增大而缓慢减小或基本不变,判断是否已寻得最优支持半径。同时考虑到小变形条件下的网格变形质量与原始网格基本相当,即使在未达到最优支持半径的情况下,网格质量也能满足CFD最低计算要求,因此采用2种判断条件生成最终变形网格:①当前变形网格质量是否已达到最低要求;②网格质量是否随支持半径的增大而减小。该方法在ONERA-M6、DLR-F6上的案例应用表明该算法的有效性。
This study investigates mesh deformation using the RBF interpolation method,applied to the ONERA-M6 airfoil under varying wingtip displacements.The results reveal that the support radius of RBF interpolation significantly influences mesh quality:as the radius increases,mesh quality initially improves but eventually stabilizes or deteriorates.Based on this observation,an adaptive support radius algorithm is proposed.The algorithm identifies the optimal support radius by monitoring whether further increases no longer enhance mesh quality.Additionally,since small deformations may already meet minimum CFD requirements without optimization,two criteria are introduced to finalize the deformed mesh:①whether current mesh quality meets the minimum threshold,and②whether the mesh quality decrease with the increase in support radius.The validity of this algorithm is demonstrated by its case applications on the ONERA-M6 and DLR-F6 models.
作者
刘思余
薛臣
兰夏毓
LIU Siyu;XUE Chen;LAN Xiayu(AVIC the First Aircraft Institute,Xi’an 710089,China)
出处
《兵器装备工程学报》
北大核心
2026年第2期62-70,共9页
Journal of Ordnance Equipment Engineering
关键词
径向基函数
网格变形
自适应调节支持半径
radial basis function
mesh deformation
adaptive supporting radius
