Development of an automatic, two‐dimensional finite element mesh generator using quadrilateral elements and Bezier curve boundary definition
Authors:
- 1 May 1990
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 29 (7) , 1551-1567
Abstract
This paper describes the development of an automatic, two‐dimensional, quadrilateral element mesh generator. The methodology is based on the looping algorithm developed in part 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 insures well‐conditioned elements along the boundary. Meshes for several sample geometries are presented to illustrate the versatility of the mesh generator.Keywords
This publication has 16 references indexed in Scilit:
- Robust, geometrically based, automatic two‐dimensional mesh generationInternational Journal for Numerical Methods in Engineering, 1987
- Shape optimization of structures: a literature surveyComputers & Structures, 1986
- Automatic and adaptive mesh generationIEEE Transactions on Magnetics, 1985
- Structural shape optimization with geometric description and adaptive mesh refinementAIAA Journal, 1985
- An apporach to automatic three‐dimensional finite element mesh generationInternational Journal for Numerical Methods in Engineering, 1985
- Finite element mesh generationComputer-Aided Design, 1984
- A brief review of techniques for generating irregular computational gridsInternational Journal for Numerical Methods in Engineering, 1980
- On Optimum Finite Element Grid ConfigurationsAIAA Journal, 1976
- Guidelines for selecting finite element grids based on an optimization studyComputers & Structures, 1974
- Mesh Generation—A SurveyJournal of Engineering for Industry, 1973