A Study on the Overlap of Grid Lines around a Sharp Convex Corner with the Elliptic Grid Generation Schemes

날카로운 볼록 코너 주위의 타원형 격자 생성 기법에 의한 격자선의 겹침에 대한 고찰

An elliptic grid generation scheme using Laplace's equations guarantees the resulting grids to be crossing-free as a result of maximum principle in its analytic form. Numerical results, however, often show the grid lines overlapping each other or crossing the boundaries, especially for very sharp convex corners. The cause of this problem is investigated, and it is found that this problem can be handled by properly modifying the coefficients of transformed Laplace's equations in the computational domain.