NURBS-based surface grid redistribution and remapping algorithms

Computer Aided Geometric Design, Elsevier, Vol 12, pp.675-692, 1995

MESHING
RESEARCH
CORNER

Bharat K. Soni
NSF Engineering Research Center, Mississippi State University, Mississippi State, MS 39762, USA

Shaochen Yang
Department of Mathematics, Mississippi University for Women, Columbus, MS 39701, USA

Abstract
Algorithms to redistribute, refine, remap, and optimize structured surface grids utilized in computational fluid dynamics (CFD) simulations involving complex regimes are presented. The non-uniform rational B-spline (NURBS) representation is utilized for defining parametric surfaces. A semi-automatic remapping algorithm presented here results in a simplified surface grid generation process with significant reduction in generation labor time for surfaces involving holes, gaps and interior objects. A hermite transfinite interpolation method and elliptic generation systems are enhanced to optimize (in view of orthogonality and smoothness) surface grids. Computational examples are presented to demonstrate the success of these methodologies.