A general two‐dimensional, graphical finite element preprocessor utilizing discrete transfinite mappings

TLDR

Finite element preprocessor programs have been developed recently to expedite data preparation, and a key design decision is selecting an automated mesh generation method. The paper describes a two‑dimensional preprocessor that uses discrete transfinite mappings. The preprocessor employs discrete transfinite mappings, compares them with Laplacian and isoparametric methods, uses interactive graphics for data preparation and display, provides general geometry‑generating routines usable in any finite element application, and includes a specialized graphical attribute editor for structural mechanics. Discrete transfinite mappings offer distinct advantages for mesh generation, and the included attribute editor efficiently specifies boundary conditions, material properties, and loads.

Abstract

Abstract Finite element preprocessor programs have been developed in recent years in order to expedite the task of data preparation. A key decision in the design of these programs is the choice of a method for automated mesh generation. Three popular methods (Laplacian, isoparametric and transfinite mappings) are compared. Transfinite mappings with boundary information represented in discrete form are found to possess distinct advantages for the task of mesh generation. A two‐dimensional preprocessor program utilizing the discrete transfinite mappings is described. Interactive computer graphics techniques are used extensively to facilitate data preparation and display. The geometry‐generating routines are general, and may be used in any finite element application. A specialized graphical ‘attribute editor’ for structural mechanics problems is also described. This editor provides an efficient method of specifying boundary conditions, material properties, loads, etc.