An adaptive slicing algorithm and its application in 3D finite difference mesh generation

Based on the root cause of principle error in layered manufacturing, the paper proposes an adaptive slicing algorithm, which uses a section between the upper and lower layers as a layered section, and it minimizes the characterization of solid surface roughness δ or volume error S. The value of δ is about half of what the traditional method gives, furthermore S is greatly reduced. The algorithm is applicable to slicing solid in 3D finite difference mesh generation. A program of 3D finite difference mesh generation is developed, and the precision of mesh generation is greatly enhanced.