Enhancements of a three-dimensional hyperbolic grid generation scheme

摘要

A hyperbolic grid generation scheme formulated from grid orthogonality and cell volume specification has been significantly enhanced so that high quality three-dimensional grids can be obtained for a wide variety of geometries. While the speed of the scheme remains one to two orders of magnitude faster than typical elliptic grid generation methods, the robustness of the scheme has been greatly improved over previous applications of the three-dimensional hyperbolic grid generation procedure. Enhancements included the use of spatially-variable smoothing coefficient, metric correction procedures, local treatment of severe convex corners, and new extrapolation treatments of floating and axis boundaries. The versatility of the new hyperbolic grid generation scheme is demonstrated by three-dimensional grids generated for external components of the integrated Space Shuttle vehicle and the SOFIA telescope.