Algebraic grid generation for an afterbody with finite-span, tapered fins

摘要

An algebraic technique is presented for the generation of a 3-D grid about a pointed afterbody with four tapered, finite-span fins. The grid topology is largely determined by a polar-type singularity which passes through the tip parallel to the body centerline. A 3-D grid is generated by stacking a sequence of 2-D grids on predetermined “blank” surfaces in the fin and tip regions. On each blank surface a grid of the C type is computed by a combination of conformal mapping and transfinite interpolation. The method is an extension of previous work for the generation of a 3-D grid about an afterbody with four constant-chord, infinite-span fins. An example grid is presented to illustrate the method, and its characteristics are discussed.