A domain decomposition and overlapping method for the generation of three-dimensional boundary-fitted coordinate systems

A Computational Differential Geometry Approach to Grid Generation

“…The overset grid approach was introduced by Atta and Vadyak (1982), Berger and Oliger (1983), Benek, Steger, and Dougherty (1983), Miki and Takagi (1984), and Benek, Buning, and Steger (1985). The concept of blocks with a continuous alignment of grid lines across adjacent block boundaries was described by Weatherill and Forsey (1984) and Thompson (1987).…”

Three-dimensional elliptic grid generations using a multi-block method

“…the interior grid specing (k-[2][3][4][5][6][7][8][9][10] follows that on the boundaries (k-1 and 11) quite well. shown inFig.…”

Three‐dimensional finite element simulation of connecting rod forging using a new remeshing scheme

“…A simple method is to find the nearest point r on the die surface from the nodal point x. This is to find r(s,t) by minimizing the following functional: (21) Since the die shape is described by a nonlinear function of s and t in equation ( 21), the Newton-Raphson method can be applied, as follows (22) where (23) After adjusting the nodal position when the node penetrates into the die or the node leaves the die, it is necessary to modify the nodal velocity for the next iteration. The purpose of the modification lies in that the normal component of the nodal velocity must coincide with that of the die, which is the most important velocity boundary condition.…”

“…The generation of the mesh by the body-fitted mapping technique can be accomplished by solving numerically the elliptic partial differential equation with Dirichlet condition [19][20][21]. It is important that the coordinate system and grid system conform to the shape of the boundaries.…”