A broad survey

books:


	• Handbook of Grid Generation CRC-Press, 1998 - 1200 pages view larger image
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A broad survey

I bought the book with great interest because of the type of research I am currently involved in. For me, the book is a disappointment. I have seen two types of technical handbooks. One type is the usual handbook of mathematics (or more specialized in integrals or differential equations). This type gives the basic definitions and well-known facts about the concepts and topics. The other type of handbook is more advanced, covering specialized topics in depth. An example is the Handbook of Numerical Analysis, in which a wide range of topics are covered in depth. The reader (e.g. myself) can LEARN the fundemtals of a particular numerical theory by reading the handbook alone. The handbook under review, however, is of neither types. In some sense it is a compilation of review articles of various grid generation techniques while lacking the depth usually seen in such articles. I can imagine the difficulty in presenting grid generation in a systemtic manner as determined by the nature of the field. I did wish that the book could be something similar to the Numerical Receipes: not systematic but practical and very useful. But this is not the case. The book does contain lots of useful references, which probably justify its cost.

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Handbook of Grid Generation addresses the use of grids (meshes) in the numerical solutions of partial differential equations by finite elements, finite volume, finite differences, and boundary elements. Four parts divide the chapters: structured grids, unstructured girds, surface definition, and adaption/quality. An introduction to each section provides a roadmap through the material.
This handbook covers:
- Fundamental concepts and approaches
- Grid generation process
- Essential mathematical elements from tensor analysis and differential geometry, particularly relevant to curves and surfaces
- Cells of any shape - Cartesian, structured curvilinear coordinates, unstructured tetrahedra, unstructured hexahedra, or various combinations
- Separate grids overlaid on one another, communicating data through interpolation
- Moving boundaries and internal interfaces in the field
- Resolving gradients and controlling solution error
- Grid generation codes, both commercial and freeware, as well as representative and illustrative grid configurations. Handbook of Grid Generation contains 37 chapters as well as contributions from more than 100 experts from around the world, comprehensively evaluating this expanding field and providing a fundamental orientation for practitioners.

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