Adaptive Parametric Surface Meshing Based on Discreet Derivatives

Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.719-728, September 2000

MESHING
RESEARCH
CORNER

Abstract

Adaptive meshing is an essential pre-requisite for various problems in finite element simulation. In this paper, we focus on the meshing of parametric surfaces conforming to a prescribed size field. In our indirect approach, this size field is induced into each parametric domain. This defines a Riemannian metric field, and a combined advancing-front generalized-Delaunay method is then used. However, this requires the derivatives of the parametric mapping functions are known.This information is not neccessarily provided by CAD systems or may be costly to compute. For this reason, we propose a new and efficient methd to obtain the discrete derivatives of the mapping functions.