基于内核技术的网格优化方法

用归一化的 Jacobian矩阵在结点的行列式的值作为衡量该结点质量的方法 ,给出了网格结点的外围多边形和外围多面体内核的生成算法 ,并将内核生成技术应用于网格结点位置优化 ,实现了四边形网格和六面体网格的优化 .算例表明 ,该方法适用于形状复杂区域的网格优化 ,尤其适用于含有凹域的网格优化 ,同时内核生成技术及网格优化也容易编程实现

Mesh Optimization Method Based on Kernel Technique

The method using the determinant of the normalized Jacobian matrix at a node as a quality measure of this node was adopted in this research analysis. The algorithm of generating the kernel of a node's envelop polygon and envelop polyhedron was developed, and the kernel generation technique was applied in the position optimization of mesh nodes, realized the optimization of the quadrilateral mesh and the hexahedron mesh. The proposed method was proved by examples to be practical in many mesh optimizations problems of complicated areas, especially in concave areas. At the mean time, the programming of the proposed kernel generation algorithm and the mesh optimization method was easily fulfilled.