Anisotropic Smoothing And Solution Adaption For Unstructured Grids

International Journal for Numerical Methods in Engineering, Wiley, Vol 39, pp.3163-3174, 1996

MESHING
RESEARCH
CORNER

Los Alamos National Laboratory, Los Alamos, NM 8754,5, U.S.A.

Summary
An elliptic smoothing scheme for 2-D Structured meshes is generalized to the case of 2-D unstructured meshes. The resulting scheme is similar to the familiar Laplacian smoothing scheme, but exhibits superior node diffusion in anisotropic domains. We then show further improvement of grid quality when smoothing is alternated with Lawson flipping (a technique commonly used to generate Delaunay triangulations). Two additional enhancements ('controlled' and 'adaptive' smoothing) allow us to create grids suitable for a realistic MOSFET semiconductor application.