Automatic Meshing of Curved Three-Dimensional Domains: Curving Finite Elements and Curvature-Based Mesh Control

Proceedings of the IMA Swnmer program Modeling, Mesh Generation, and Adaptive Numerical Method for Partial Differential Equations, Springer-Verlag, July 1993

MESHING
RESEARCH
CORNER

SCOREC Report #1-1994
Scientific Computation Research Center
Rensselaer Polytechnic Institute Troy, New York 12l50-359O
Abstract
Specific issues associated with the automatic generation of finite element meshes for curved geometric domains are considered. A review of the definition of when a triangulation is a valid mesh, a geometric triangulation, for curved geometric domains is given. Consideration is then given to the additional operations necessary to maintain the validity of a mesh when curved finite elements are employed. A procedure to control the mesh gradations based on the curvature of the geometric model faces is also given.