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# 4.1 Structured Grid Generation

Structured grids have a regular topology where the neighborhood relation between all points is captured with a two- or three-dimensional array. By incrementing or decrementing the array index the point neighbors can be directly accessed. Historically, structured grid generation was a first attempt to automate the meshing process for simple shapes. Through mathematical transformations an ortho-product grid of the unit square/cube is mapped onto the simulation domain. In literature it is often referred to as numerical grid generation [78,24,184,60]. Multi block structured grid generation combines several simple blocks to form more complex shapes. Cutting the simulation domain into these blocks is strictly speaking the same task as unstructured mesh generation and poses the same difficulties. The Chimera or overlapping approach allows overlapping blocks. Each structured grid component can be generated independently from the other parts. It must only be guaranteed that the blocks overlap sufficiently to allow interpolation between the component grids. A more detailed overview can be found in [61]. The two mathematically different mapping techniques are shortly summarized in the next paragraphs.

Subsections

Next: 4.1.1 Algebraic Method Up: 4. Methodologies Previous: 4. Methodologies
Peter Fleischmann
2000-01-20