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Computational Science, Engineering & Technology Series
ISSN 1759-3158
Edited by: M. Papadrakakis, B.H.V. Topping
Chapter 9

Parallel Adaptive Mesh Generation and Geometric Modelling Using NURBS

B. Cheng and B.H.V. Topping

Department of Mechanical and Chemical Engineering, Heriot-Watt University, Edinburgh, United Kingdom

Full Bibliographic Reference for this chapter
B. Cheng, B.H.V. Topping, "Parallel Adaptive Mesh Generation and Geometric Modelling Using NURBS", in M. Papadrakakis, B.H.V. Topping, (Editors), "Innovative Computational Methods for Structural Mechanics", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 9, pp 163-194, 1999. doi:10.4203/csets.1.9
The use of rational polynomial functions for representing curves and surfaces in CAD-CAM applications is becoming increasingly widespread. NURBS have been included in the Initial Graphics Exchange Specification (IGES) standard since 1983. In this chapter, non-uniform rational B-splines for geometric modelling in parallel adaptive finite element analysis are investigated. The interactive local interpolation method was utilized to generate and refine the domain geometric boundary. It proved very efficient for geometric model creation and local modification.

To apply parallelism in mesh generation, the original domain is decomposed into several subdomains and the original boundary curve will be subdivided into several individual NURBS segments. The NURBS subdivision scheme is investigated in this chapter and the details were described.

After implementing NURBS in the mesh generation program, a large variety of complex geometric models can be easily generated with accuracy. The application of the mesh generator is demonstrated by four examples presented at the end of this chapter.

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