A Concise Representation of Geometry Suitable for Mesh Generation.
L. Paul Chew, Stephen A. Vavasis, Sankarappan Gopalsamy, Tzu‐Yi Yu, Bharat Kumar Soni · 2002
We describe an ew geometric represen tation scheme suitable for fin ite elemen t mesh gen eration . The represen tation is by bounk3 ies (i.e., brep) a n relation between boun]] ies are stored as a directed acyclic graph. The geometry itself is based on NURBScurves an surfaces. Then ew geometry proposal has been been adopted by the Corn3 lMississippi State join t ITR project. We describe why the geometric represen tation scheme is well-suited for mesh genSq# ion an en3 n eerin g an3 ysis. Keywords:geometry, standard, brep, boundary representation, NURBS 1. ON THE NEED FOR A GEOMETRY STANDARD Mostfin te elemen t mesh gen eratorsn eed as inA4 a represen tation of the geometric modelunA r con4 deration . There isn o gen erally acceptedstan dard for represen ti geometry, particularly in academic commun ties. In part, this is because of the complexity of existi n stan33 ds. We propose a n w geometric st an dard with just on e geometricen tity type an d on ly a few additionq types. Despite the stanA224 s sparse set of types, it is able to exactly represen t very complicated curved geometry in cludin niS an fold features. The reason we are able to achieve suchcon2 sen#[ is that our geometric stan3#; is tightly focusedon geometry for scien tific simulatio n whereas stanA# ds such as PDE TEP are in ten3 d for every possible inA4q trial use of computerized geometry. To enAk e that our represen tation is complete enA24 to be useful, we focus on two particular problem domai nS computation # fracture mechan cs an reactive, multiphase fluid flows. There are three possible strategies for stank;A[ zin g the way in which geometry is represen ted for the purpose of meshgen[[# ion an ank ysis: (1) develop a n w stan#q d, (2) adopt an existin g stank] d, or (3) develop a si nS e API that...