用椭圆型方程生成三维贴体与边界正交网格

Body-Conforming Grids Orthogonal to Boundaries Generated by Elliptic System

将Ｈｉｌｇｅｎｓｔｏｃｋ二维求源项方法推广到三维，并实现对内场网格疏密及网格线与边界面夹角的双重控制，生成了翼身融合体近似外形三维贴体与边界正交Ｏ－Ｏ网格和旋成体－后掠翼翼身组合体三维贴体与边界正交Ｏ－Ｃ网格。

Two-dimensional Hilgenstock's method for finding soulce terms in elliptic svstem is extended ie three-dimensional case. Body-conforming grids orthogonal to boundarics are gcncratcd: O-O type around a shuttle-like blended-wing body(Fig. 1) and O-C type around a wing-body combination of a sweptback wing with a body of revolution (Fig.2). The method described in this paper, as compared with Thomas's method[4], is better in that orthogonality can be attained while retaining the fine ability of Thomas's method to control the grid density distribution in inner field.In Fig.l, there are three families of boundaries: (1) forward-extending line ahead of nose, backward-extending line behind the rear cud of the body; (2) upper and lower vertical symmetry plane, horizontal plane containing wing planform; (3) body surface, fariboundary surface. The grids generated that are orthogonal to these three families of boundaries are not in conflict with each other.In Fig.2, there arc three families of boundaries, but only two of them nced to be mentioned: the grids are orthogonal to the wing surface but not required to be orthogonal to fuselage surface, because i f grids were required to be orthogonal to both families of boundarics, conflict would occur and itcrative process would diverge.