An optimization based approach to multi-block structured grid generation

Kurzfassung

In this paper, a novel approach suited to the specific requirements of multi-block structured grid generation within design optimizations for turbomachinery components is presented. In contrast to traditional methods like elliptical and algebraic grid generation, the presented approach optimizes grid quality criteria such as cell expansion ratios, inner cell angles, and grid line curvatures. These criteria are evaluated approximately on a B-spline based abstract representation of the multi-block structured grid, which drastically reduces the degrees of freedom. The 2D mathematical formulation of the abstraction layer and the optimization procedure are presented. Automatically generated grids for 2D blade-to-blade slices of a compressor, a turbine and a tandem configuration are shown as examples