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Development of an Automatic Two-Dimensional Finite Element Mesh Generator Using Quadrilateral Elements and Bezier Curve Boundary Definition

Talbert, Jeffrey A. and Alan R. Parkinson

International Journal for Numerical Methods in Engineering, John Wiley & Sons, Vol 29, pp.1551-1567, 1990

MESHING
RESEARCH
CORNER

Summary
This paper describes the edvelopment of an automatic, two-dimensional, quadrilateral element mesh generator. The methodology is based on the looping algorithm developed by Dr M.L.C. Sluiter. Bezier curves are used to define the boundaries of the parts to be meshed. The required interaction by the user is reduced to specifying the boundary geometry, the preferred element size and the refinement coefficient. Transition elements are automatically generated between regions of varying element sizes. The ability to offset specified boundary curves ensures well-conditioned elements along the boundary. Meshes for several sample geometries are presented to illustrate the versatility of the mesh generator.
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