Short description
This textbook aims to explain the generation of grids to postgraduate and practising engineers. It assumes only the level of maths that a graduate engineer would have and uses as little extra maths as possible.
Long description
Finite element, finite volume and finite difference methods use grids to solve the numerous differential equations that arise in the modelling of physical systems in engineering. Structured grid generation forms an integral part of the solution of these procedures. Basic Structured Grid Generation provides the necessary mathematical foundation required for the successful generation of boundary-conforming grids and will be an important resource for postgraduate and practising engineers. The treatment of structured grid generation starts with basic geometry and tensor analysis before moving on to identify the variety of approaches that can be employed in the generation of structured grids. The book then introduces unstructured grid generation by explaining the basics of Delaunay triangulation and advancing front techniques. A companion website fully supports this book by providing numerical codes in FORTRAN 77/90 for both structured and unstructured grid generation which will help the reader to develop their understanding and make progress in grid generation.
Review
"An invaluable aid to a wide variety of users, from students on courses of further and higher education, to practicing engineers wishing to learn and use modelling and 3D drafting." Engineering Designer, January 2001 "Excellent and easy to follow...good set of exercises." Onkaparinga Institute, Australia "...an invaluable aid to a wide variety of users...ideal for students." Book News on the Internet "The worked examples and tutorial exercises are aimed at students or professional designers wishing to update their skills." Machinery Market, January 2001
Table of contents
- Mathematical preliminaries
- vector and tensor analysis
- Classical differential geometry of space
- curves
- Differential geometry of surfaces in E
- Structured grid generation
- algebraic methods
- Differential models for grid generation
- Variational methods and adaptive grid generation
- Moving grids and time
- dependent co
- ordinate systems
- Unstructured grid generation
- Bibliography
- Index