chapter  Chapter 4
20 Pages

Automatic Mesh Generation

A good scheme for node generation makes the mesh generation straightforward. Such a scheme should yield uniformly distributed nodes directly instead of going through a generating-testing-removing procedure. The artificial closed boundary can be a simple regular shape. Thus, the structures considered are restricted to rectangles and circles, corresponding to integrated optics and fibre structures, respectively, or various combinations of these; but the algorithm itself in principle can easily be extended to cases with irregular interfaces and boundaries. Vertex node generation has a great bearing on element generation. A common feature of finite element analyses is the generation of a large number of algebraic equations describing the interaction between related nodes. The criterion for choosing a starting node can be either the node with lowest connectivity or the endpoint of a pseudo-diameter. Nodes are generated rather evenly in each region. Consequently, less control need be performed in triangulating the mesh.