Hyperbolic Methods for Surface and Field Grid Generation
Hyperbolic Methods for Surface and Field Grid Generation
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用于表面和场网格生成的双曲方法
DOI：
10.1201/9781420050349.ch5
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
W. Chan
中科院分区：
文献类型：
--
作者：
W. Chan
本章介绍如何使用双曲偏微分方程方法生成结构化表面网格和场网格。虽然表面网格生成方程本质上是三维的，但场网格生成方程可以用二维或三维表示。控制方程是从正交关系和单元面积/体积约束导出的；并通过从初始曲线或曲面出发进行数值求解。行进步长和行进距离可以由用户规定。使用一扫行军方案不可能精确确定侧面和外部边界，但可以实现有限的控制。双曲线方法提供了出色的正交性和网格聚类特性，与典型的椭圆方法相比，时间节省了一到两个数量级。由于双曲网格生成方法不需要网格侧面和外部边界的精确规范，因此这些方法特别适合用于解决复杂配置问题的重叠网格方法。将描述基于双曲线方法的网格生成软件及其在几种复杂配置上的应用。
This chapter describes the use of hyperbolic partial differential equation methods for structured surface grid generation and field grid generation. While the surface grid generation equations are inherently three dimensional, the field grid generation equations can be formulated in two or three dimensions. The governing equations are derived from orthogonality relations and cell area/volume constraints; and are solved numerically by marching from an initial curve or surface. The marching step size and marching distance can be prescribedly the user. Exact specifications of the side and outer boundaries are not possible with a one sweep marching scheme but limited control is achievable. Excellent orthogonality and grid clustering characteristics are provided by hyperbolic methods with one to two orders of magnitude savings in time over typical elliptic methods. Since hyperbolic grid generation methods do not require the exact specifications of the side and outer boundaries of a grid, these methods are particularly well suited for the overlapping grid approach for solving problems on complex configurations. Grid generation software based on hyperbolic methods and their applications on several complex configurations will be described.