一种基于径向基函数的两步法网格变形策略

A TWO-STEP MESH DEFORMATION STRATEGY BASED ON RADIAL BASIS FUNCTION

基于径向基函数(RBF)的网格变形方法是一种可靠的网格变形技术,对于任意拓扑的网格都能获得高质量的变形网格.缩减控制点的RBF网格变形方法可以大幅提高网格变形效率,但也存在变形后物面误差较大、边界层网格交错的问题.在缩减控制点方法的基础上,提出了一种适合于带有边界层的黏性网格变形的方法,该方法从物面中选择两组控制点,利用其中一组控制点粗略计算变形后网格位置及变形误差,利用第二组控制点与变形误差插值得到更为精确的变形网格.利用该方法完成带襟翼的NLR 7301二维构型和带发动机短舱的DLR F6翼身组合体的网格变形问题,结果表明该方法可以较大幅度降低变形网格的物面误差,并且有效避免边界层网格交错问题.

Mesh deformation method based on radial basis function(RBF) is a rehable technique to be used to obtain high-quality deformed mesh for arbitrary topology.Reduced control points method can greatly improve the efficiency of the mesh deformation,while there exists the problem of large deformation error on surface and inverted boundary layer mesh.In this paper a new mesh deformation method with viscous boundary layer mesh is developed.The method selects two groups of control points from the object surface,a set of control points to roughly calculate grid position and deformation error,and the second set of control points to get a more accurate deformed mesh with interpolation deformation error.Mesh deformation of NLR-7301 with flap and DLR-F6 wing-body-pylon-nacelle configuration is presented with the viscous mesh deformation method.Results show that the method can greatly reduce deformation error on surface and effectively avoid boundary layer mesh inverted.