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INNOVATION IN COMPUTER METHODS FOR CIVIL AND STRUCTURAL ENGINEERING
Edited by: B.H.V. Topping and M.B. Leeming
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
B. Cheng, B.H.V. Topping, "Parallel Adaptive Mesh Generation and Geometric Modelling using NURBS", in B.H.V. Topping, M.B. Leeming, (Editors), "Innovation in Computer Methods for Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 167-181, 1997. doi:10.4203/ccp.50.10.3
The use of rational polynomial functions for representing curves and surfaces in CAD/CAM applications is becoming increasingly widespread. NURBS have been included the Initial Graphics Exchange Specification (IGES) standard since 1983. In this paper, 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 paper 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 paper.
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