Automatic Nodes Generation In A N Dimensional Space

Communications in Numerical Methods in Engineering, Wiley, Vol 12, pp.243-248, 1996

MESHING
RESEARCH
CORNER

Laboratory of Geology, Swiss Institute of Technology, GEOLEP-EPFL, CH-1015 Lausanne, Switzerland

Summary Finite element generation methods, such as Delaunay, allow the meshing of shapes from a set of nodes. These nodes must previously exist. We hereby present a simple, fast and reliable method to generate them in an unstructured way in a N dimensional space. Its main characteristic is to easily allow the variation of the node density, by introducing a density function, either analytical or discretized. This function can also be anisotropic. Some nodes can have a pre- fixed position. Inner lines and holes can also be specified in the domain to be meshed. Generated nodes are to be connected according to triangles in 2-D and tetrahedrals in 3-D.

Authors' on-line document: http://tmesh.epfl.ch/