Level Sets as Input for Hybrid Mesh Generation

Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.137-146, October 2000

MESHING
RESEARCH
CORNER

0. Gloth, R. Vilsmeier
Institute for Combustion and Gas Dynamics, University of Duisburg, Germany
Email: oliver@vug.uni-duisburg.de

Abstract
Level set methods are used to describe interfaces or discontinuous solutions on fixed grids. Hence they replace time consuming re-meshing and adaptation procedures. This article, however, wants to show how information provided by level set functions can be used as an input for unstructured mesh generation. It is shown that scalar field functions can be used to describe complex, moving and even changing geometries. Furthermore level set functions usually give the distance to an interface and thus offer very valuable information for anisotropic mesh generation. This paper is restricted to two dimensional mesh generation, although the discussed approaches should in principle be extendable to three dimensions.

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