風上型差分法を用いた双曲型格子形成法と格子直交性の検討

概要

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A new hyperbolic grid generation method is presented and developed for two-dimensional space in this paper. The method uses the backward-Euler implicit scheme in the marching direction, while a MUSCL-like upwind finite difference scheme with a minmod limiter is introduced in the other direction. Thus, the present hyperbolic grid generation method requires no further artificial damping terms, although a conventional hyperbolic grid generation method of a central difference scheme requires some artificial terms to dampen the oscillations. Body-fitted grids around a NACA0012 airfoil and a complicated U-shape body are generated. The hyperbolic grid generation method presented can be expected to produce excellent orthogonal property of grids. To investigate this, a criterion to estimate the orthogonal property of generated grids is introduced. The orthogonal property of the grids around the airfoil is demonstrated. The results show that the present method generates grids of good orthogonal property.
一般社団法人日本機械学会の論文
1997-11-25